Documentation Of Environment - Societal Responses Model




Quick Links All Variables Variable Link Detail Variable Types Views Groups Units Macros Feedback Loops Loop List No IVV Exogenous Variables Analysis Endogenous Variables Analysis Link Polarity View Summary View-Variable Profile Variable Relationships Variable Loops

Model Assessment Results

Model Information Result
145|149
91 (62.8%)|91 (61.1%)
55 (37.9%)|59 (39.6%)
106 (50|56|0)
0 (0|0|0)
180 (123|29|28)|188 (127|29|32)
0
0 (0.0%)|0 (0.0%)
0 (0.0%)|0 (0.0%)
86 (59.3%)|88 (59.1%)
145 (100.0%)|149 (100.0%)
0 (0.0%)|0 (0.0%)
0 (0.0%)|0 (0.0%)
Time Unit
Year
Initial Time
1950
Final Time
2100
Reported Time Interval
TIME STEP
Time Step
0.25
Model Is Fully Formulated
Yes
Model Defined Groups
Yes

Warnings Result
0 (0.0%)|0 (0.0%)
6 (4.1%)|6 (4.0%)
4 (2.8%)|4 (2.7%)
0 (0.0%)|0 (0.0%)
0 (0.0%)|0 (0.0%)
0 (0.0%)|0 (0.0%)
7 (4.8%)|7 (4.7%)
3 (2.1%)|3 (2.0%)
0 (0.0%)|0 (0.0%)
0 (0.0%)|0 (0.0%)
6 (4.1%)|6 (4.0%)

Potential Omissions Result
6 (4.1%)|6 (4.0%)
0 (0.0%)|0 (0.0%)
0 (0.0%)|0 (0.0%)
11 (7.6%)|11 (7.4%)
0 (0.0%)|0 (0.0%)


Variable Types

L: Level (5 / 5)* SM: Smooth (2 / 10)* DE: Delay (1 / 9)*† LI: Level Initial (8) I: Initial (0 / 0)
C: Constant (90 / 90) F: Flow (6 / 6) A: Auxiliary (50 / 54) Sub: Subscripts (0) D: Data (0 / 0)
G: Game (0 / 0) T: Lookup (0 / 0)*††      
* (State Variables/Total Stocks) † Total Stocks Do Not Include Fixed Delay Variables. †† (Lookup Tables).  

Views

View: View 1 (141 Variables)
View: View 2 (7 Variables)



Groups

.Control (4) Environment - Societal Responses Model (141)   



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Top (All) Variables (145 Variables)
Group
Type
Variable Name And Description
Environment - Societal Responses Model #0
C
A - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
= 0
Description: Parameter A in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). This value expresses the assumption that adaptation capacity developed per unit of investment will ultimately decline to zero once the diminishing-returns threshold is crossed. Consequently, all uncertainty is concentrated in the M parameter, which governs both the rate of diminishing returns and the point in time at which marginal returns effectively reach zero (i.e., the function’s slope).
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  • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #1
C
A - dimishing returns in mitigation technological development per effort multiplier (dmnl)
= 0
Description: Parameter A in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). This value implies that, due to diminishing returns, progress per unit of investment will eventually approach zero as the system nears its limit. The time at which this occurs depends on other model parameters, particularly the slope parameter M. In this way, M captures most of the uncertainty surrounding the shape of the diminishing returns curve, determining the slope of the function and when investment returns become negligible.
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  • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #2
C
A - effect of pressure perception on adaptation priority (dmnl)
= 0.04
Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).
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  • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #3
C
A - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
= 0.05
Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).It is set to 0.05 because it captures the fact that even in the context of strong behavioural response there will still be a portion of the population to prefer the high-affluence lifestyle.
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  • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #4
C
A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
= 0.05
Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).This value indicates when the logistic function aims. It is set to 0.05 because it captures the fact that even in the context of strong behavioural response there will still be a portion of the population to prefer the high-affluence lifestyle.
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  • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #5
C
A - effect of pressures perception on effort - alternative scenario (dmnl)
= 0
Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
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  • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #6
C
A - effect of pressures perception on effort - base scenario (dmnl)
= 0
Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
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  • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #7
C
A - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
= 0.05
Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).It is set to 0.05 because it captures the fact that even in the context of involuntary transition there will still be a portion of the population able to practice the high-affluence lifestyle.
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  • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #8
A
action trigger for behavioural mitigation (dmnl)
=
pressure to respond (perceived pressures)/( behavioural mitigation threshold* SWT behavioural mitigation loop)
Description: An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
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  • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
Feedback Loops: 21 (19.8%) (+) 11  [10,15] (-) 10  [10,14]
Environment - Societal Responses Model #9
L
Adaptation capacity (Impact units)
=
adaptation capacity increase rate dt + 1.0
Description: The adaptation efforts accumulate into a stock of Adaptation Capacity, which represents infrastructure and other types of investments around the world that serve to relieve the immediate pressures of climate change. Adaptation capacity is best depicted as a stock because “adaptation can be classified as incremental or developmental. In incremental adaptation, when original facilities and inputs are insufficient to resist a natural disaster, considering the emerging climatic risks, investments are added onto existing communal facilities, and the action is specific for the new additional climatic risk.” (Engle, 2011; Zhao et al., 2018, p. 86). For example, investments to build levees and dams to reduce floods caused by extreme weather events or rising sea levels help alleviate the immediate pressures and threats of floods caused by climate change and can be further raised if needed. Other examples showing the breadth and cumulative nature of adaptation are using more and more nets to protect trees fruit crops against the worsening of extreme hail events (Manja & Aoun, 2019),protecting capital through more and more extensive insurance against climate change (Jørgensen et al., 2020; McLeman & Smit, 2006; Suarez & Linnerooth-Bayer, 2010; Thomas & Leichenko, 2011).
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  • adaptation implemented We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
  • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
Feedback Loops: 3 (2.8%) (+) 0  [0,0] (-) 3  [4,7]
Environment - Societal Responses Model #10
A
adaptation capacity built per effort (Impact units/$)
= IF THEN ELSE(
SWT diminishing returns in adaptation capacity built per effort=1, diminishing returns in adaptation capacity built per effort multiplier* constant returns in adaptation capacity built per effort, constant returns in adaptation capacity built per effort)
Description: This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
Present In 1 View: Used By Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
Environment - Societal Responses Model #11
LI,F,A
adaptation capacity increase rate (Impact units/Year)
=
adaptation capacity built per effort* adaptation effort per year
Description: This flow computes the development of adaptation capacity over time.
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  • Adaptation capacity The adaptation efforts accumulate into a stock of Adaptation Capacity, which represents infrastructure and other types of investments around the world that serve to relieve the immediate pressures of climate change. Adaptation capacity is best depicted as a stock because “adaptation can be classified as incremental or developmental. In incremental adaptation, when original facilities and inputs are insufficient to resist a natural disaster, considering the emerging climatic risks, investments are added onto existing communal facilities, and the action is specific for the new additional climatic risk.” (Engle, 2011; Zhao et al., 2018, p. 86). For example, investments to build levees and dams to reduce floods caused by extreme weather events or rising sea levels help alleviate the immediate pressures and threats of floods caused by climate change and can be further raised if needed. Other examples showing the breadth and cumulative nature of adaptation are using more and more nets to protect trees fruit crops against the worsening of extreme hail events (Manja & Aoun, 2019),protecting capital through more and more extensive insurance against climate change (Jørgensen et al., 2020; McLeman & Smit, 2006; Suarez & Linnerooth-Bayer, 2010; Thomas & Leichenko, 2011).
Feedback Loops: 3 (2.8%) (+) 0  [0,0] (-) 3  [4,7]
Environment - Societal Responses Model #12
A
adaptation effort per year ($/Year)
=
effort taken against impact per year* effect of pressure to respond on adaptation priority
Description: This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
Present In 1 View: Used By Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [6,7]
Environment - Societal Responses Model #13
SM,A
adaptation implemented (Impact units)
= SMOOTH3I(
Adaptation capacity, time to implement adaptation capacity, Adaptation capacity)
Description: We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
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  • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [6,7]
Environment - Societal Responses Model #14
A
affluence and population growth (dmnl)
= 1+(
time effect* affluence and population growth multiplier)
Description: Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
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  • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #15
C
affluence and population growth multiplier (dmnl/Year)
= 0.1
Description: Data indicates that CO2 emissions in gigatons were approximately 5.5 in 1950 and 11 in 1960 (Friedlingstein et al., 2023), showing a 10% growth rate during that period. Based on this trend, we assumed a 10% annual growth rate as the reference impacts throughout the entire simulated period in the absence of corrective actions. Because impacts in the model are driven by population and affluence, we assign this 10% annual growth rate to their combined effect. In other words, since impacts in the model depend on population and affluence, we assume that their combined effect grows at this rate in the absence of corrective action.This assumption was made considering that the period from 1950 to 1960 represents an era when there were no significant concerns about affluence growth, making it an ideal untouched period where policies did not affect the growth trends in impacts - capturing what would have been if humanity did not care about the impact issue.This reflects a counterfactual baseline in which no policy or behavioral responses constrain growth.https:/ourworldindata.org/co2-emissionshttps:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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  • affluence and population growth Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #16
C
alternative allocation to adaptation fraction (dmnl )
= 1
Description: This decision rule (ranging from 0 [none] to 1 [all]) determines how much of the resources are allocated to adaptation. The remainder is invested in technological mitigation. This rule is activated and used in prototypical scenarios to explore system behavior under conditions where either adaptation or technological mitigation is dominant. Change to 1 for 100% allocation to adaptation and change to 0 for 100% allocation to tech mitigation
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  • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #17
A
attractiveness of high-affluence lifestyle (Attractiveness units)
= (
reference attractivness high-affluence lifestyle+( Population with high-affluence lifestyle* lifestyle socio-technical regime effect))* effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation* effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response* effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change
Description: The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
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  • relative attractiveness of high-afflluence lifestyle A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
  • total attractiveness of all lifestyle Variable calculating the toal attractivenss of all lifestyles in the system.
Feedback Loops: 75 (70.8%) (+) 37  [4,15] (-) 38  [5,15]
Environment - Societal Responses Model #18
A
attractiveness of low-affluence lifestyle (Attractiveness units)
= (
reference attractiveness low-affluence lifestyle+( lifestyle socio-technical regime effect* Population with low-affluence lifestyle))
Description: The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
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  • relative attractiveness of low-affluence lifestyle Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
  • total attractiveness of all lifestyle Variable calculating the toal attractivenss of all lifestyles in the system.
Feedback Loops: 21 (19.8%) (+) 10  [4,15] (-) 11  [5,15]
Environment - Societal Responses Model #19
C
behavioural mitigation threshold (dmnl )
= 1.1
Description: Although threat perception and appraisal (‘perceived pressures’) are crucial drivers for triggering, it does not automatically yield the desired long-term behavioural changes, as many additional barriers can hinder it (Beckage et al., 2018; García de Jalón et al., 2015; Lorenzoni et al., 2007), like knowledge, perceived efficacy, or memory, making the behavioural change from a social perspective highly inertial. For example, correct causal attributions may not be straightforward in complex socio-technical systems (Cheng et al., 2017), or people may have difficulty attributing responsibility to a specific behaviour when multiple people interact in a system (Cheng et al., 2017), and actions often do not involve direct consequences but delayed and (often indirect) harm (van de Poel & Nihlén Fahlquist, 2013). Or people may not understand that their constant pursuit of higher affluence is responsible for environmental disruption or are misled by some specific vested interests in not believing so (Grasso, 2020; Lamb et al., 2020; Painter et al., 2023). This mechanism is similar to ‘resources allocation threshold’: it is not automatic to take action once pressures are perceived.For this reason, the 'behavioural change threshold' provides an additional threshold and is set an higher value than the 'pressure tolerance threshold'.Multiple by 1000 if we want to turn this loop off for Rapid Beh Response scenario
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  • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #20
C
behavioural mitigation threshold rapid response (dmnl )
= 1.05
Description: Value at which the rapid behavioural mitigation response is activated (if the 'SWT to rapid response after perception' activated). This parameter is calibrated to match the 'resource allocation threshold' variable, thereby replicating the threshold at which perceived pressures first led to resource mobilisation in the late 1970s and early 1980s, consistent with the First World Climate Conference (1979*). In other words, the behavioural rapid-response regime is triggered when perceived pressures exceed the level required in the late 1970s to initiate the first large-scale allocation of climate-related resources.*Gupta, J. A history of international climate change policy. Wiley Interdiscip. Rev. Clim. Chang. 1, 636-653 (2010).
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  • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #21
C
C - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
= 1
Description: Parameter C in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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  • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #22
C
C - dimishing returns in mitigation technological development per effort multiplier (dmnl)
= 1
Description: Parameter C in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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  • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #23
C
C - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
= 1
Description: Parameter C in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of old lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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  • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #24
C
C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
= 1
Description: Parameter C in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of old lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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  • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #25
C
C - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
= 1
Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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  • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
Environment - Societal Responses Model #26
A
CO2 absorption (CO2 Gt/Year)
=
impacts absorption* CO2 Gt converter
Description: The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
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    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
    Environment - Societal Responses Model #27
    A
    CO2 emissions (CO2 Gt/Year)
    =
    impacts generation* CO2 Gt converter
    Description: The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
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      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
      Environment - Societal Responses Model #28
      C
      CO2 Gt converter (CO2 Gt/Impact units)
      = 1100
      Description: Variable to convert the impacts into CO2 gigatonnes (Gt). Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023). This value was selected to ensure the CO2 emission at the start of the simulation matched the 1950 real data (approximately 5.5 Gt of CO2).
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      • CO2 absorption The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
      • CO2 emissions The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
      Environment - Societal Responses Model #29
      A
      CO2 ppm (CO2 ppm)
      =
      Cumulative impacts* cumulative impacts to CO2ppm equivalent
      Description: The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #30
        C
        constant returns in adaptation capacity built per effort (Impact units/$ )
        = 0.025
        Description: This variable represents reference amount of adaptation capacity developed per unit of 'adaptation effort per year'.
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        • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #31
        C
        constant returns in mitigation technological development built per effort (dmnl/$ )
        = 0.09
        Description: This variable represents reference amount of technological mitigation developed per unit of 'technological effort per year'.
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        • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #32
        L
        Cumulative impacts (Impact units)
        =
        impacts generation- impacts absorption dt + 1.0
        Description: The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
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        • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
        • socio-environmental consequences After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
        • CO2 ppm The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
        • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
        • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
        Feedback Loops: 67 (63.2%) (+) 32  [9,15] (-) 35  [2,15]
        Environment - Societal Responses Model #33
        C
        cumulative impacts target level (Impact units)
        = 0.9
        Description: This value represents the level of 'Cumulative Impacts' that the system naturally tends toward. Given that the 'Cumulative Impacts' stock is initialized at 1, representing 300 ppm CO2 in the atmosphere in 1950, and considering that historically, CO2 levels on the planet have averaged between 250-280 ppm (Friedlingstein et al., 2023), we assumed that the target balance level for CO2 in the atmosphere is approximately 270 ppm. This translates to a normalized value of 0.9 (since 270/300 = 0.9).https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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        • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #34
        C
        cumulative impacts to CO2ppm equivalent (CO2 ppm/Impact units)
        = 300
        Description: This variable converts the 'Cumulative Impacts' stock into CO2 ppm. We used the CO2 ppm levels in the atmosphere to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023). The initial value was selected to match the 1950 real data, which was approximately 300 ppm (Friedlingstein et al., 2023; IPCC, 2023). Given that the 'Cumulative Impacts' stock starts at 1 in 1950, this converter is set to 300.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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        • CO2 ppm The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #35
        A
        diminishing returns in adaptation capacity built per effort multiplier (dmnl)
        = (
        A - diminishing returns in adaptation capacity built per effort multiplier+( K - diminishing returns in adaptation capacity built per effort multiplier- A - diminishing returns in adaptation capacity built per effort multiplier)/( C - diminishing returns in adaptation capacity built per effort multiplier+ Q - diminishing returns in adaptation capacity built per effort multiplier*(( A - diminishing returns in adaptation capacity built per effort multiplier*( C - diminishing returns in adaptation capacity built per effort multiplier-1)+ K - diminishing returns in adaptation capacity built per effort multiplier- ry - diminishing returns in adaptation capacity built per effort multiplier* C - diminishing returns in adaptation capacity built per effort multiplier)/( Q - diminishing returns in adaptation capacity built per effort multiplier*( ry - diminishing returns in adaptation capacity built per effort multiplier- A - diminishing returns in adaptation capacity built per effort multiplier)))^(( Adaptation capacity- M - diminishing returns in adaptation capacity built per effort multiplier)/( rx - diminishing returns in adaptation capacity built per effort multiplier- M - diminishing returns in adaptation capacity built per effort multiplier))))
        Description: This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
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        • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
        Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
        Environment - Societal Responses Model #36
        A
        dimishing returns in mitigation technological development per effort multiplier (dmnl)
        = (
        A - dimishing returns in mitigation technological development per effort multiplier+( K - dimishing returns in mitigation technological development per effort multiplier- A - dimishing returns in mitigation technological development per effort multiplier)/( C - dimishing returns in mitigation technological development per effort multiplier+ Q - dimishing returns in mitigation technological development per effort multiplier*(( A - dimishing returns in mitigation technological development per effort multiplier*( C - dimishing returns in mitigation technological development per effort multiplier-1)+ K - dimishing returns in mitigation technological development per effort multiplier- ry - dimishing returns in mitigation technological development per effort multiplier* C - dimishing returns in mitigation technological development per effort multiplier)/( Q - dimishing returns in mitigation technological development per effort multiplier*( ry - dimishing returns in mitigation technological development per effort multiplier- A - dimishing returns in mitigation technological development per effort multiplier)))^(( Mitigation technology- M - dimishing returns in mitigation technological development per effort multiplier)/( rx - dimishing returns in mitigation technological development per effort multiplier- M - dimishing returns in mitigation technological development per effort multiplier))))
        Description: This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
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        • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
        Feedback Loops: 1 (0.9%) (+) 1  [4,4] (-) 0  [0,0]
        Environment - Societal Responses Model #37
        A
        effect of pressure to respond on adaptation priority (dmnl)
        = (
        A - effect of pressure perception on adaptation priority+( K - effect of pressure perception on adaptation priority- A - effect of pressure perception on adaptation priority)/(1+(( K - effect of pressure perception on adaptation priority- ry - effect of pressure perception on adaptation priority)/( ry - effect of pressure perception on adaptation priority- A - effect of pressure perception on adaptation priority))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressure perception on adaptation priority)/( rx - effect of pressure perception on adaptation priority- M - effect of pressure perception on adaptation priority))))*(1- SWT to static allocation rule)+ alternative allocation to adaptation fraction* SWT to static allocation rule
        Description: In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
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        • adaptation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
        • technological mitigation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
        Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [6,6]
        Environment - Societal Responses Model #38
        A
        effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (dmnl)
        = (
        A - effect of pressures perception on attractivenss of high affluence lifestyle+( K - effect of pressures perception on attractivenss of high affluence lifestyle- A - effect of pressures perception on attractivenss of high affluence lifestyle)/( C - effect of pressures perception on attractivenss of high affluence lifestyle+ Q - effect of pressures perception on attractivenss of high affluence lifestyle*(( A - effect of pressures perception on attractivenss of high affluence lifestyle*( C - effect of pressures perception on attractivenss of high affluence lifestyle-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle- ry - effect of pressures perception on attractivenss of high affluence lifestyle* C - effect of pressures perception on attractivenss of high affluence lifestyle)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle*( ry - effect of pressures perception on attractivenss of high affluence lifestyle- A - effect of pressures perception on attractivenss of high affluence lifestyle)))^(( action trigger for behavioural mitigation- M - effect of pressures perception on attractivenss of high affluence lifestyle)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle- M - effect of pressures perception on attractivenss of high affluence lifestyle))))
        Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
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        • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
        Feedback Loops: 21 (19.8%) (+) 11  [10,15] (-) 10  [10,14]
        Environment - Societal Responses Model #39
        A
        effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (dmnl)
        = SAMPLE IF TRUE((
        SWT rapid behavioural response* pressure to respond (perceived pressures))/ behavioural mitigation threshold rapid response>1:AND:( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+( K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+ Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*(( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response* C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))^((( pressure to respond (perceived pressures)/ behavioural mitigation threshold rapid response)- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response))))< effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response,( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+( K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+ Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*(( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response* C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))^((( pressure to respond (perceived pressures)/ behavioural mitigation threshold rapid response)- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))),1)
        Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
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        • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
        Feedback Loops: 21 (19.8%) (+) 10  [9,13] (-) 11  [9,14]
        Environment - Societal Responses Model #40
        A
        effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (dmnl)
        = (
        A - forced effect of pressure perception attractiveness of high affluence lifestyle+( K - forced effect of pressure perception attractiveness of high affluence lifestyle- A - forced effect of pressure perception attractiveness of high affluence lifestyle)/( C - forced effect of pressure perception attractiveness of high affluence lifestyle+ Q - forced effect of pressure perception attractiveness of high affluence lifestyle*(( A - forced effect of pressure perception attractiveness of high affluence lifestyle*( C - forced effect of pressure perception attractiveness of high affluence lifestyle-1)+ K - forced effect of pressure perception attractiveness of high affluence lifestyle- ry - forced effect of pressure perception attractiveness of high affluence lifestyle* C - forced effect of pressure perception attractiveness of high affluence lifestyle)/( Q - forced effect of pressure perception attractiveness of high affluence lifestyle*( ry - forced effect of pressure perception attractiveness of high affluence lifestyle- A - forced effect of pressure perception attractiveness of high affluence lifestyle)))^((( forced behavioural change trigger)- M - forced effect of pressure perception attractiveness of high affluence lifestyle)/( rx - forced effect of pressure perception attractiveness of high affluence lifestyle- M - forced effect of pressure perception attractiveness of high affluence lifestyle))))
        Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
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        • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
        Feedback Loops: 21 (19.8%) (+) 10  [10,14] (-) 11  [10,15]
        Environment - Societal Responses Model #41
        A
        effect of pressure to respond on effort (dmnl)
        = (
        A - effect of pressures perception on effort - base scenario+( K - effect of pressures perception on effort - base scenario- A - effect of pressures perception on effort - base scenario)/(1+(( K - effect of pressures perception on effort - base scenario- ry - effect of pressures perception on effort - base scenario)/( ry - effect of pressures perception on effort - base scenario- A - effect of pressures perception on effort - base scenario))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressures perception on effort - base scenario)/( rx - effect of pressures perception on effort - base scenario- M - effect of pressures perception on effort - base scenario))))*(1- SWT to rapid response after perception)+( A - effect of pressures perception on effort - alternative scenario+( K - effect of pressures perception on effort - alternative scenario- A - effect of pressures perception on effort - alternative scenario)/(1+(( K - effect of pressures perception on effort - alternative scenario- ry - effect of pressures perception on effort - alternative scenario)/( ry - effect of pressures perception on effort - alternative scenario- A - effect of pressures perception on effort - alternative scenario))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressures perception on effort - alternative scenario)/( rx - effect of pressures perception on effort - alternative scenario- M - effect of pressures perception on effort - alternative scenario))))* SWT to rapid response after perception
        Description: In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
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        • effort taken against impact per year This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
        Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [7,11]
        Environment - Societal Responses Model #42
        A
        effort taken against impact per year ($/Year)
        =
        total potential effort per year* effect of pressure to respond on effort
        Description: This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
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        • adaptation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
        • technological mitigation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
        Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [7,11]
        Environment - Societal Responses Model #43
        A
        forced behavioural change threshold (dmnl)
        = 1.6*
        SWT forced behavioural change loop
        Description: This value captures the threshold at which the perceived environmental disruption becomes so extreme that the high-affluence lifestyle becomes unsustainable. It is set to 1.6. Given that increases of approximately 0.3 impact units correspond to a 1°C variation in the model, this implies that if the population perceives the consequences of a 2°C variation compared to what they are adapted to, the high-affluence lifestyle becomes less attractive. The 2°C threshold is based on the IPCC report (2023, longer report, p. 31; Risk as burning embers figure), where at this level, human risk is considered very high.
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        • forced behavioural change trigger If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #44
        A
        forced behavioural change trigger (dmnl)
        =
        pressure to respond (perceived pressures)/ forced behavioural change threshold
        Description: If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
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        • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
        Feedback Loops: 21 (19.8%) (+) 10  [10,14] (-) 11  [10,15]
        Environment - Societal Responses Model #45
        C
        fractional consumption from high- to low-affluence lifestyle (dmnl)
        = 0.3
        Description: We assume a 70% reduction relative to the 2020 high-affluence impact (i.e., a 0.3 multiplier). This value represents the midpoint between the 90% potential reduction suggested by Wiedmann et al. (2020) and the 50% reduction mentioned by Seto et al. (2016).
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        • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #46
        C
        imitation coefficient transition (dmnl/Year)
        = 0.38
        Description: The empirical average value of the imitation coefficient (also known in the literature as q/coefficient of imitation/internal influence/word-of-mouth effect) has been found to be 0.38, with a typical range between 0.3 and 0.5. (Mahajan et al., 1995)
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        • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #47
        C
        imitation coefficient transition back (dmnl/Year)
        = 0.38
        Description: The empirical average value of the imitation coefficient (also known in the literature as q/coefficient of imitation/internal influence/word-of-mouth effect) has been found to be 0.38, with a typical range between 0.3 and 0.5. (Mahajan et al., 1995)
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        • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #48
        C
        impact population high affluence lifestyle in 2020 (Impact units/Year)
        = 0.0004
        Description: Because Wiedmann et al. (2020) derive their estimates of low-affluence lifestyle impacts using 2020 emission levels, we anchor our calibration to the model’s impact value in 2020 (which depends on affluence). This 2020 reference level is then used to compute the impact associated with a low-affluence lifestyle.
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        • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #49
        A
        impact population high affuence lifestyle (Impact units/Year)
        =
        affluence and population growth* initial impact high affluence lifestyle per person* population 1950
        Description: These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
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        • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
        • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #50
        A
        impact population low affluence lifestyle (Impact units/Year)
        = MIN(
        impact population high affuence lifestyle,( impact population high affluence lifestyle in 2020* fractional consumption from high- to low-affluence lifestyle))
        Description: In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
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        • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #51
        LI,F,A
        impacts absorption (Impact units/Year)
        = MAX(0,(
        Cumulative impacts- cumulative impacts target level)/ impacts absorption time)
        Description: The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
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        • CO2 absorption The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
        • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
        Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [2,4]
        Environment - Societal Responses Model #52
        A
        impacts absorption time (Year)
        =
        reference impacts absorption time* natural sinks degradation due to cumulative impacts multiplier
        Description: This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
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        • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
        Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
        Environment - Societal Responses Model #53
        LI,F,A
        impacts generation (Impact units/Year)
        = ((
        Population with high-affluence lifestyle* impact population high affuence lifestyle* technology effect)+( Population with low-affluence lifestyle* impact population low affluence lifestyle* technology effect))
        Description: The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
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        • CO2 emissions The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
        • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
        Feedback Loops: 65 (61.3%) (+) 32  [9,15] (-) 33  [9,15]
        Environment - Societal Responses Model #54
        C
        initial impact high affluence lifestyle per person (Impact units/Year/People)
        = 5.56256e-14
        Description: The initial value of 'impact of high-affluence lifestyle' is estimated using the CO2 Gt emissions in 1950 as a reference point, aligning the impacts with the values observed in 1950. Data shows that CO2 Gigatons emissions in 1950 were approx. 5.5. Given this value and the corresponding population in 1950, the per-capita impact of a high-affluence lifestyle is calculated accordingly (dividing 5.5 by the population value). This calibration ensures that the model outputs are consistent with the scenarios outlined in the latest IPCC report (2023).(Friedlingstein et al., 2023) https:/ourworldindata.org/co2-emissionshttps:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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        • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #55
        LI,C
        initial Population with high-affluence lifestyle (dmnl)
        = 100
        Description: Assumed value for the population embracing a high affluence and impact lifestyle at the beginning of the simulation. Given that the simulation starts in 1950 and considering the conceptual nature of the model, we assumed that a high-affluence lifestyle was embraced by the whole population at the start.
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        • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #56
        LI,C
        initial Population with low-affluence lifestyle (dmnl)
        = 0
        Description: Assumed value for the population embracing a low affluence and low impact lifestyle at the beginning of the simulation. Given that the simulation starts in 1950 and considering the conceptual nature of the model, we assumed that a low-affluence lifestyle was not voluntarily embraced by anyone at the start.
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        Used By
        • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #57
        C
        K - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
        = 1
        Description: Parameter K in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
        Present In 1 View:
        Used By
        • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #58
        C
        K - dimishing returns in mitigation technological development per effort multiplier (dmnl)
        = 1
        Description: Parameter K in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
        Present In 1 View:
        Used By
        • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #59
        C
        K - effect of pressure perception on adaptation priority (dmnl)
        = 0.95
        Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). We are assuming that even with very extreme perceived pressures 5% of the resources will be allocated to mitigation.
        Present In 1 View:
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        • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #60
        C
        K - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
        = 1
        Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
        Present In 1 View:
        Used By
        • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #61
        C
        K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
        = 1
        Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
        Present In 1 View:
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        • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #62
        C
        K - effect of pressures perception on effort - alternative scenario (dmnl)
        = 1
        Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
        Present In 1 View:
        Used By
        • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #63
        C
        K - effect of pressures perception on effort - base scenario (dmnl)
        = 1
        Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
        Present In 1 View:
        Used By
        • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #64
        C
        K - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
        = 1
        Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
        Present In 1 View:
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        • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #65
        C
        lifestyle socio-technical regime effect (Attractiveness units/dmnl )
        = 0.01
        Description: This variable corresponds to the rr constant in Arthur's lock-in model (Arthur, 1989; Safarzyńska et al., 2012 – thoroughly explained in the "attractiveness of low affluence lifestyle" variable) that computes the network effect on preferences. In this context, the network effect consists of sociological forces (i.e., the more a lifestyle is adopted, the more socially acceptable and institutionalized it becomes) and technical forces (i.e., the more widespread a lifestyle is, the more the technical landscape adapts to suit its needs). Its value has been set to 0.015 based on an educated guess. It must be greater than 0, as we know that such an effect exists. We assumed it to be 0.015 so that if 100% of the population embraces a lifestyle, its attractiveness increases by 1.5, which is within a reasonable range considering that the intrinsic attractiveness of the current high-affluence lifestyle starts at a base value of 1.
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        • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
        • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #66
        C
        M - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
        = 1.2
        Description: Parameter M in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). Although there is uncertainty as to whether absolute limits to adaptation exist, current research suggests that such limits exists and may be closer than expected (Berkhout & Dow, 2023; Dow et al., 2013; more on this in the main manuscript). Assuming this to be the case, there is nevertheless very limited knowledge regarding the time required to reach these limits. As a baseline assumption, we propose that once diminishing returns set in, and provided that high levels of investment in adaptation continue, these limits would be reached after 50 years (around 15 years to halve capacity, followed by a more gradual decline towards marginal, near-zero gains). The lower bound of the parameter space is set at 1.17 based on the current model specification and calibration. At this value, the model yields convergence to near-zero gains within approximately 10 years.All calibrations make sure that the diminishing returns occurs after 2025 as of today we don't see evidence of such limitations.
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        • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #67
        C
        M - dimishing returns in mitigation technological development per effort multiplier (dmnl)
        = 2.75
        Description: Parameter M in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). It remains uncertain whether absolute limits to technological mitigation exist. Consequently, even if such limits do exist, the rate of diminishing returns per unit of investment is also unknown. In this model, we assume that under sustained investment it would take approximately 75 years to reach an overall reduction of around 80%. This rate is assumed to be slightly slower than the adaptation limit, as adaptation is constrained not only by intellectual and technological factors but also by the physiological limits of the human body in coping with extreme conditions, as discussed in the main manuscript. All calibrations make sure that the diminishing returns occurs after 2025 as of today we don't see evidence of such limitations.Sensitivity analyses, reported in the supplementary materials, indicate that variations in this parameter do not alter the fundamental behavioural modes of the model.Lower value = 1.3, then = 2.75
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        • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #68
        A
        M - effect of pressure perception on adaptation priority (dmnl )
        = IF THEN ELSE(
        Time>=2026, M - effect of pressure perception on adaptation priority for sensitivity analysis, M - effect of pressure perception on adaptation priority for sensitivity analysis)
        Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). Higher values lead to higher allocations to technological mitigation. Although empirical data on the allocation of effort between mitigation and adaptation remain limited, the M parameter of this function has been calibrated under the base scenario (current pathway) so that the variables 'adaptation effort per year' and 'technological mitigation effort per year' are consistent with the available empirical estimates. Further details on this calibration are provided in the relevant model function descriptions.Base case = 1.4; Alternbative value (more Tech Mitigation) = 1.7
        Present In 1 View: Used By
        • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #69
        C
        M - effect of pressure perception on adaptation priority for sensitivity analysis (dmnl)
        = 1.4
        Description: This value should be linked to the 'M - effect of pressure perception on adaptation priority' parameter and used to replace both values in the IF THEN ELSE function, so that sensitivity analyses can be conducted
        Present In 1 View:
        Used By
        • M - effect of pressure perception on adaptation priority Parameter M in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). Higher values lead to higher allocations to technological mitigation. Although empirical data on the allocation of effort between mitigation and adaptation remain limited, the M parameter of this function has been calibrated under the base scenario (current pathway) so that the variables 'adaptation effort per year' and 'technological mitigation effort per year' are consistent with the available empirical estimates. Further details on this calibration are provided in the relevant model function descriptions.Base case = 1.4; Alternbative value (more Tech Mitigation) = 1.7
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #70
        C
        M - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
        = 1.4
        Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022). This value is set to 1.4 so that the lifestyle transition under conditions of sustained and mounting pressure unfolds over approximately 40-60 years, consistent with Schot and Kanger’s (2018) review, which shows that deep socio-technical transitions historically unfold over several decades in the absence of strong external shocks or exceptional policy intervention.
        Present In 1 View:
        Used By
        • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #71
        C
        M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl )
        = 1.25
        Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).This parameter produces a steeper response function, representing accelerated societal behaviour under high pressure. By definition, it is lower than the M parameter governing normal behavioural responses. We set this value to 1.25, reflecting a scenario in which sustained pressure triggers substantial lifestyle changes within a few decades, consistent with Sovacool (2016), who shows that socio-technical transitions can occur within one to two decades under favourable conditions.
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        • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #72
        C
        M - effect of pressures perception on effort - alternative scenario (dmnl )
        = 1.01
        Description: Parameter M in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022). This value delivers a rather steep function as it aims to capture the rapid societla response.
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        • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #73
        C
        M - effect of pressures perception on effort - base scenario (dmnl )
        = 1.5
        Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
        Present In 1 View:
        Used By
        • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #74
        C
        M - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
        = 1.1
        Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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        • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #75
        A
        mitigation technlogical development per effort (dmnl/$)
        = IF THEN ELSE(
        SWT dimishing returns in mitigation technological development per effort=1, dimishing returns in mitigation technological development per effort multiplier* constant returns in mitigation technological development built per effort, constant returns in mitigation technological development built per effort)
        Description: This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
        Present In 1 View: Used By Feedback Loops: 1 (0.9%) (+) 1  [4,4] (-) 0  [0,0]
        Environment - Societal Responses Model #76
        L
        Mitigation technology (dmnl)
        =
        mitigation technology development rate dt + 1.0
        Description: This stock represents the level of mitigation technology developed within the system. It starts at 1, reflecting the technological efficiency level of 1950, and accumulates over time as investments are made to improve mitigation technology. Assuming an evolutionary perspective on technological development, this stock increases only, due to variations in the inflow. Higher values indicate scenarios with greater efficiency. For example,a value of 2 in Mitigation technology equals to have a techological mitigation efficiency (broadly intended) twice of what is was in the 1950s.
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        • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
        • mitigation technology implemented We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
        Feedback Loops: 3 (2.8%) (+) 2  [4,10] (-) 1  [11,11]
        Environment - Societal Responses Model #77
        LI,F,A
        mitigation technology development rate (dmnl/Year)
        =
        technological mitigation effort per year* mitigation technlogical development per effort
        Description: This flow computes the development of technological mitigation over time.
        Present In 1 View: Used By
        • Mitigation technology This stock represents the level of mitigation technology developed within the system. It starts at 1, reflecting the technological efficiency level of 1950, and accumulates over time as investments are made to improve mitigation technology. Assuming an evolutionary perspective on technological development, this stock increases only, due to variations in the inflow. Higher values indicate scenarios with greater efficiency. For example,a value of 2 in Mitigation technology equals to have a techological mitigation efficiency (broadly intended) twice of what is was in the 1950s.
        Feedback Loops: 3 (2.8%) (+) 2  [4,10] (-) 1  [11,11]
        Environment - Societal Responses Model #78
        DE,A
        mitigation technology implemented (dmnl)
        = DELAY3I(
        Mitigation technology, time to implement mitigation technology, Mitigation technology)
        Description: We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
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        • technology effect Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
        Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
        Environment - Societal Responses Model #79
        C
        natural sinks degradation curve slope (dmnl/Impact units)
        = 0.6
        Description: This value is used to assess the impact and calibrate the steepness of the 'Natural Sinks Degradation due to Cumulative Impacts Multiplier' function.
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        • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #80
        A
        natural sinks degradation due to cumulative impacts multiplier (dmnl)
        = MAX(1,EXP((
        Cumulative impacts- natural sinks degradation due to cumulative impacts threshold)* natural sinks degradation curve slope))
        Description: Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
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        • impacts absorption time This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
        Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
        Environment - Societal Responses Model #81
        C
        natural sinks degradation due to cumulative impacts threshold (Impact units)
        = 1.4
        Description: The threshold for triggering natural sinks degradation is set to 1.4 for the following reasons. The 'Cumulative Impacts' stock starts at a value of 1, which, according to the calibration, represents approximately 300 ppm CO2 in 1950. By 2020, early signs of potential natural sink deterioration and tipping points have been observed (Lenton et al. 2019). Given that the current CO2 ppm is approximately 420, we used this data to estimate the threshold for sink degradation: 420 ppm/300 ppm=1.4.
        Present In 1 View:
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        • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
        Environment - Societal Responses Model #82
        A
        perceived pressures - Cumulative impacts gap (Impact units)
        =
        Cumulative impacts-( pressure to respond (perceived pressures)* pressures to impact units converter)
        Description: Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
        Present In 1 View: Used By
          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
          Environment - Societal Responses Model #83
          A
          perceived pressures - socio-environmental consequences gap (Impact units)
          =
          socio-environmental consequences-( pressure to respond (perceived pressures)* pressures to impact units converter)
          Description: Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
          Present In 1 View: Used By
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #84
            C
            perception delay (Year)
            = 20
            Description: It is assumed that it takes 20 years for 'Cumulative Impacts' to generate tangible consequences for the human population.
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            • socio-environmental consequences After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #85
            C
            population 1950 (People)
            = 8.98867e+08
            Description: Global North population in 1950. To calculate the Global North population, considering the countries listed here https:/worldpopulationreview.com/country-rankings/global-north-countries. The national population is taken from the United Nations https:/population.un.org/wpp/ (accessed 16/02/2026) (Total Population, as of 1 January)
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            • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #86
            L
            Population with high-affluence lifestyle (dmnl)
            =
            transition back to high-affluence lifestyle- transition to low-affluence lifestyle dt + initial Population with high-affluence lifestyle
            Description: Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
            Present In 1 View: Used By
            • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
            • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
            • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
            • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
            • total population The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
            Feedback Loops: 82 (77.4%) (+) 40  [2,15] (-) 42  [2,15]
            Environment - Societal Responses Model #87
            L
            Population with low-affluence lifestyle (dmnl)
            =
            transition to low-affluence lifestyle- transition back to high-affluence lifestyle dt + initial Population with low-affluence lifestyle
            Description: Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
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            • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
            • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
            • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
            • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
            • total population The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
            Feedback Loops: 82 (77.4%) (+) 39  [2,15] (-) 43  [2,15]
            Environment - Societal Responses Model #88
            A
            pressure to respond (perceived pressures) (dmnl)
            = (
            socio-environmental consequences/ adaptation implemented)/ pressures tolerance threshold
            Description: The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
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            • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
            • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
            • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
            • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
            • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
            • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
            • forced behavioural change trigger If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
            Feedback Loops: 67 (63.2%) (+) 32  [9,15] (-) 35  [6,15]
            Environment - Societal Responses Model #89
            C
            pressures to impact units converter (Impact units)
            = 1
            Description: 'perceived pressures' are dimensionless (dmnl). However, their relationship to impact units is scaled to be 1:1. This aids in translating the variable's meaning and anchoring it to tangible values and realities.
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            • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
            • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #90
            C
            pressures tolerance threshold (dmnl)
            = 1
            Description: The ‘pressures tolerance threshold’ represents the minimum level of discomfort (in impact units) that the ‘perceived cumulative impacts’ need to cause before people start paying attention to them. If ‘perceived cumulative impacts’ are low (e.g., minor increases in average temperature, slight decreases in average rainfall per season, or small increases in the number of extreme weather events) and do not exceed the tolerance threshold, people are unlikely even to recognise (and so respond) to them. The higher the ‘pressures tolerance threshold’, the more delayed any response will be to reduce the pressure.The value is set to 1. This is because the normal geological level of CO2 is at 0.9 impact units (270 ppm CO2) in our model. Therefore, the first perception of environmental change occurs when people perceive the consequences of CO2 levels reaching 300 ppm.Additionally, we assume that the perception threshold is constant over time. While this assumption seems plausible, the recent Covid-19 pandemic showed that societal risk thresholds can change over time as fatigue with precautions increases, making people more willing to take risks (Rahmandad & Sterman, 2022). This indicates room for further exploration, as the population could raise their tolerance threshold if subjected to prolonged pressures and called to follow strict and unpopular rules.
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            • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #91
            C
            Q - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
            = 1
            Description: Parameter Q in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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            • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #92
            C
            Q - dimishing returns in mitigation technological development per effort multiplier (dmnl)
            = 1
            Description: Parameter Q in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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            • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #93
            C
            Q - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
            = 1
            Description: Parameter Q in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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            • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #94
            C
            Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
            = 1
            Description: Parameter Q in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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            • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #95
            C
            Q - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
            = 1
            Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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            • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #96
            C
            reference attractiveness low-affluence lifestyle (Attractiveness units )
            = 0.25
            Description: This variable represents the intrinsic attractiveness and utility of the new low-affluence lifestyle, capturing how inherently desirable it is to people, aside from any additional socio-technical benefits effect. It is set to 0.25 as the baseline starting value to capture that the low-affluence lifestyle is significantly less appealing at the moment than the current high-impact one.
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            • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #97
            C
            reference attractivness high-affluence lifestyle (Attractiveness units )
            = 1
            Description: This variable represents the intrinsic attractiveness and utility of the old high-affluence lifestyle, capturing how inherently desirable it is to people, aside from any additional socio-technical benefits effect. It is set to 1 as the baseline starting value to serve as a reference point, representing the attractiveness of the current lifestyle.
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            • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #98
            C
            reference impacts absorption time (Year)
            = 20
            Description: The average time that additional cumulative impacts (exceeding the 'cumulative impacts balance') stay in the 'Cumulative Impact' stock is assumed to be 20 years. This value is an educated guess based on the varying absorption times of different pollutants and greenhouse gases (e.g., Methane 11.8 years, Nitrous Oxide 109 years, fluorinated gases ranging from a few weeks to thousands of years). For example, "carbon dioxide’s lifetime cannot be represented with a single value because the gas is not destroyed over time, but instead moves among different parts of the ocean/atmosphere/land system. Some of the excess carbon dioxide is absorbed quickly (for example, by the ocean surface), but some will remain in the atmosphere for thousands of years, due in part to the very slow process by which carbon is transferred to ocean sediments." Considering this range of absorption times, we made the educated guess that 20 years is a reasonable value that captures the diversity of absorption rates and aligns well with the conceptual needs of the model.https:/www.epa.gov/climate-indicators/greenhouse-gases
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            • impacts absorption time This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #99
            C
            reference technology (dmnl)
            = 1
            Description: This variable represents the mitigation technology starting point. As the stock of 'Mitigation technology' is initialised at 1, this variable assumes the value of 1.
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            • technology effect Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #100
            A
            relative attractiveness of high-afflluence lifestyle (1)
            =
            attractiveness of high-affluence lifestyle/ total attractiveness of all lifestyle
            Description: A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
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            • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
            Feedback Loops: 57 (53.8%) (+) 28  [4,15] (-) 29  [5,15]
            Environment - Societal Responses Model #101
            A
            relative attractiveness of low-affluence lifestyle (1)
            =
            attractiveness of low-affluence lifestyle/ total attractiveness of all lifestyle
            Description: Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
            Present In 1 View: Used By
            • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
            Feedback Loops: 39 (36.8%) (+) 19  [4,15] (-) 20  [5,15]
            Environment - Societal Responses Model #102
            C
            resources allocation threshold (dmnl )
            = 1.05
            Description: The ‘resources allocation threshold’ represents the minimum level perceived pressures (and so ‘socio-environmental consequences’) need to be before people start mobilising resources. This variable captures the fact that is not automatic to take action even if we perceive a problem. The higher the ‘resources allocation threshold’, the more delayed any response will be to reduce the pressure.The value is set to 1.05, indicating a 5% tolerance in the variation of ‘perceived pressures’ (and so of ‘perceived cumulative impacts’) before resources are mobilised. To translate this If 1 equals 300 ppm CO2, then this means that humanity does act until it perceives the consequences of CO2 levels up to 315 ppm.
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            • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
            • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #103
            C
            rx - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
            = 1.15921
            Description: Reference point rx in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #104
            C
            rx - dimishing returns in mitigation technological development per effort multiplier (dmnl)
            = 1
            Description: Reference point rx in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #105
            C
            rx - effect of pressure perception on adaptation priority (dmnl)
            = 1
            Description: Parameter rx in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #106
            C
            rx - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
            = 1
            Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
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            • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #107
            C
            rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
            = 1
            Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #108
            C
            rx - effect of pressures perception on effort - alternative scenario (dmnl)
            = 1
            Description: Reference point rx in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #109
            C
            rx - effect of pressures perception on effort - base scenario (dmnl)
            = 1
            Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #110
            C
            rx - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
            = 1
            Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #111
            C
            ry - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
            = 0.99
            Description: Reference point ry in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #112
            C
            ry - dimishing returns in mitigation technological development per effort multiplier (dmnl)
            = 0.99
            Description: Reference point ry in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #113
            C
            ry - effect of pressure perception on adaptation priority (dmnl)
            = 0.05
            Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).We are assuming that even with low perceived pressures 5% of the resources will be allocated to adaptation.
            Present In 1 View:
            Used By
            • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #114
            C
            ry - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
            = 0.95
            Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #115
            C
            ry - effect of pressures perception on effort - alternative scenario (dmnl)
            = 0.01
            Description: Reference point ry in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #116
            C
            ry - effect of pressures perception on effort - base scenario (dmnl)
            = 0.01
            Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
            Used By
            • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #117
            C
            ry - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
            = 0.95
            Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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            • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #118
            C
            ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
            = 0.99
            Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
            Present In 1 View:
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            • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #119
            C
            simulation start time (Year)
            = 1950
            Description: Simulation starting time.
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            • time effect This variable is calculated to represent the passage of time in the simulation, as affluence growth is dependent on time.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #120
            SM,A
            socio-environmental consequences (Impact units)
            = SMOOTH(
            Cumulative impacts, perception delay)
            Description: After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
            Present In 1 View: Used By
            • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
            • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
            Feedback Loops: 65 (61.3%) (+) 32  [9,15] (-) 33  [9,15]
            Environment - Societal Responses Model #121
            A
            SWT behavioural mitigation loop (dmnl)
            = IF THEN ELSE(
            Time>=2026,1,1)*1+IF THEN ELSE( Time>=2026,1000,1)*0
            Description: IF THEN ELSE(Time>=2026, 1000 , 1 ) If you want to turn off this feedback loop, you need to set the threshold parameter to a very high value.
            Present In 1 View: Used By
            • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #122
            C
            SWT diminishing returns in adaptation capacity built per effort (dmnl )
            = 1
            Description: This switch activates the diminishing returns to adaptation mechanism, allowing the exploration of the limits to adaptation scenarios.
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            Used By
            • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #123
            C
            SWT dimishing returns in mitigation technological development per effort (dmnl )
            = 1
            Description: This switch activates the diminishing returns to technological mitigation mechanism, allowing the exploration of the limits to technological development scenarios.
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            Used By
            • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #124
            C
            SWT forced behavioural change loop (dmnl)
            = 1000
            Description: Switch to activate the forced behavioural change loop. Set it to 1 to activate it. Set it to 1000 to deactivate it.
            Present In 1 View:
            Used By
            • forced behavioural change threshold This value captures the threshold at which the perceived environmental disruption becomes so extreme that the high-affluence lifestyle becomes unsustainable. It is set to 1.6. Given that increases of approximately 0.3 impact units correspond to a 1°C variation in the model, this implies that if the population perceives the consequences of a 2°C variation compared to what they are adapted to, the high-affluence lifestyle becomes less attractive. The 2°C threshold is based on the IPCC report (2023, longer report, p. 31; Risk as burning embers figure), where at this level, human risk is considered very high.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #125
            A
            SWT rapid behavioural response (dmnl)
            = IF THEN ELSE(
            Time>=2026,0,0)
            Description: Switch to trigger rapid behavioural response in 2026 if activated
            Present In 1 View: Used By
            • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #126
            A
            SWT to rapid response after perception (dmnl )
            = IF THEN ELSE(
            Time>=2026,0,0)
            Description: Switch to activate the alternative prototypical scenario in which resource allocation is much much more rapid once perceived pressures exceed a certain threshold.
            Present In 2 Views: Used By
            • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #127
            A
            SWT to static allocation rule (dmnl )
            = IF THEN ELSE(
            Time>=2026,0,0)
            Description: Switch to activate the alternative prototypical scenario in which resource allocation is static.
            Present In 2 Views: Used By
            • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #128
            A
            technological mitigation effort per year ($/Year)
            =
            effort taken against impact per year*(1- effect of pressure to respond on adaptation priority)
            Description: This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
            Present In 1 View: Used By Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
            Environment - Societal Responses Model #129
            A
            technology effect (dmnl)
            =
            reference technology/ mitigation technology implemented
            Description: Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
            Present In 1 View: Used By
            • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
            Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
            Environment - Societal Responses Model #130
            A
            time effect (Year)
            = (
            Time- simulation start time)
            Description: This variable is calculated to represent the passage of time in the simulation, as affluence growth is dependent on time.
            Present In 1 View: Used By
            • affluence and population growth Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #131
            C
            time to implement adaptation capacity (Year )
            = 1
            Description: The implementation of the developed adapatation capacity is not instantaneous and takes some time. However, this period is relatively short, especially when compared to the 'time to implement mitigation technology' (Zhao et al. 2018).
            Present In 1 View:
            Used By
            • adaptation implemented We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #132
            C
            time to implement mitigation technology (Year)
            = 15
            Description: The implementation of developed technological mitigation is not instantaneous and takes time. This period is relatively long, especially when compared to the 'time to implement adaptation technology,' because it takes a long time to broadly implement developed mitigation technologies (Schot et al., 2016; Sovacool, 2016). For this model, we assumed a value of 15 years. This value was chosen based on the famous Limits to Growth model (Meadows et al., 1972), where the time to implement technology was set at 20 years. We chose a slightly shorter period, believing that implementation delays have decreased a bit over time.
            Present In 1 View:
            Used By
            • mitigation technology implemented We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
            Environment - Societal Responses Model #133
            A
            total actual effort ($/Year)
            =
            adaptation effort per year+ technological mitigation effort per year
            Description: Variable computing the total effort mobilised (adaptation + technological mitigation) in the simulation.
            Present In 1 View: Used By
              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
              Environment - Societal Responses Model #134
              A
              total attractiveness of all lifestyle (Attractiveness units)
              =
              attractiveness of low-affluence lifestyle+ attractiveness of high-affluence lifestyle
              Description: Variable calculating the toal attractivenss of all lifestyles in the system.
              Present In 1 View: Used By
              • relative attractiveness of high-afflluence lifestyle A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
              • relative attractiveness of low-affluence lifestyle Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
              Feedback Loops: 56 (52.8%) (+) 26  [5,15] (-) 30  [5,15]
              Environment - Societal Responses Model #135
              A
              total population (dmnl)
              =
              Population with high-affluence lifestyle+ Population with low-affluence lifestyle
              Description: The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
              Present In 1 View: Used By
              • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
              • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
              Feedback Loops: 32 (30.2%) (+) 16  [3,14] (-) 16  [3,14]
              Environment - Societal Responses Model #136
              C
              total potential effort per year ($/Year)
              = 1
              Description: This variable captures the hypothetical total potential effort and resources that humanity can mobilise for adaptation and technological mitigation strategies to tackle climate change. For instance, annual GDP can be used as a proxy for the total potential effort available to the system per year.
              Present In 1 View:
              Used By
              • effort taken against impact per year This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
              Environment - Societal Responses Model #137
              C
              transition back innovators fraction (dmnl/Year )
              = 0.03
              Description: The empirical average value of the innovators fraction (also known in the literature as p/coefficient of innovation/external influence/ advertising effect) has been found to be 0.03, with a typical range between 0.01 and 0.03 (Mahajan et al., 1995)
              Present In 1 View:
              Used By
              • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
              Environment - Societal Responses Model #138
              LI,F,A
              transition back to high-affluence lifestyle (dmnl/Year)
              = (
              transition back innovators fraction* Population with low-affluence lifestyle+ imitation coefficient transition back* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of high-afflluence lifestyle
              Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
              Present In 1 View: Used By
              • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
              • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
              Feedback Loops: 85 (80.2%) (+) 41  [2,15] (-) 44  [2,15]
              Environment - Societal Responses Model #139
              C
              transition innovators fraction (dmnl/Year )
              = 0.03
              Description: The empirical average value of the innovators fraction (also known in the literature as p/coefficient of innovation/external influence/ advertising effect) has been found to be 0.03, with a typical range between 0.01 and 0.03 (Mahajan et al., 1995)
              Present In 1 View:
              Used By
              • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
              Environment - Societal Responses Model #140
              LI,F,A
              transition to low-affluence lifestyle (dmnl/Year)
              = (
              transition innovators fraction* Population with high-affluence lifestyle+ imitation coefficient transition* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of low-affluence lifestyle
              Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
              Present In 1 View: Used By
              • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
              • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
              Feedback Loops: 79 (74.5%) (+) 38  [2,15] (-) 41  [2,15]
              .Control #141
              C
              FINAL TIME (Year)
              = 2100
              Description: The final time for the simulation.
              Present In 0 Views:
                Used By
                  Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                  .Control #142
                  C
                  INITIAL TIME (Year)
                  = 1950
                  Description: The initial time for the simulation.
                  Present In 0 Views:
                    Used By
                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                      .Control #144
                      A
                      SAVEPER (Year )
                      =
                      TIME STEP
                      Description: The frequency with which output is stored.
                      Present In 0 Views:
                        Used By
                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                          .Control #146
                          C
                          TIME STEP (Year )
                          = 0.25
                          Description: The time step for the simulation.
                          Present In 0 Views:
                            Used By
                            • SAVEPER The frequency with which output is stored.
                            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]




                            (View) Not in View (4 Variables)




                            Top (View) Not in View (4 Variables)
                            Group
                            Type
                            Variable Name And Description
                            .Control #141
                            C
                            FINAL TIME (Year)
                            = 2100
                            Description: The final time for the simulation.
                            Present In 0 Views:
                              Used By
                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                .Control #142
                                C
                                INITIAL TIME (Year)
                                = 1950
                                Description: The initial time for the simulation.
                                Present In 0 Views:
                                  Used By
                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                    .Control #144
                                    A
                                    SAVEPER (Year )
                                    =
                                    TIME STEP
                                    Description: The frequency with which output is stored.
                                    Present In 0 Views:
                                      Used By
                                        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                        .Control #146
                                        C
                                        TIME STEP (Year )
                                        = 0.25
                                        Description: The time step for the simulation.
                                        Present In 0 Views:
                                          Used By
                                          • SAVEPER The frequency with which output is stored.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]




                                          (View) View 1 (141 Variables)




                                          Top (View) View 1 (141 Variables)
                                          Group
                                          Type
                                          Variable Name And Description
                                          Environment - Societal Responses Model #0
                                          C
                                          A - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                          = 0
                                          Description: Parameter A in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). This value expresses the assumption that adaptation capacity developed per unit of investment will ultimately decline to zero once the diminishing-returns threshold is crossed. Consequently, all uncertainty is concentrated in the M parameter, which governs both the rate of diminishing returns and the point in time at which marginal returns effectively reach zero (i.e., the function’s slope).
                                          Present In 1 View:
                                          Used By
                                          • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #1
                                          C
                                          A - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                          = 0
                                          Description: Parameter A in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). This value implies that, due to diminishing returns, progress per unit of investment will eventually approach zero as the system nears its limit. The time at which this occurs depends on other model parameters, particularly the slope parameter M. In this way, M captures most of the uncertainty surrounding the shape of the diminishing returns curve, determining the slope of the function and when investment returns become negligible.
                                          Present In 1 View:
                                          Used By
                                          • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #2
                                          C
                                          A - effect of pressure perception on adaptation priority (dmnl)
                                          = 0.04
                                          Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).
                                          Present In 1 View:
                                          Used By
                                          • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #3
                                          C
                                          A - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                          = 0.05
                                          Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).It is set to 0.05 because it captures the fact that even in the context of strong behavioural response there will still be a portion of the population to prefer the high-affluence lifestyle.
                                          Present In 1 View:
                                          Used By
                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #4
                                          C
                                          A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                          = 0.05
                                          Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).This value indicates when the logistic function aims. It is set to 0.05 because it captures the fact that even in the context of strong behavioural response there will still be a portion of the population to prefer the high-affluence lifestyle.
                                          Present In 1 View:
                                          Used By
                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #5
                                          C
                                          A - effect of pressures perception on effort - alternative scenario (dmnl)
                                          = 0
                                          Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                          Present In 1 View:
                                          Used By
                                          • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #6
                                          C
                                          A - effect of pressures perception on effort - base scenario (dmnl)
                                          = 0
                                          Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                          Present In 1 View:
                                          Used By
                                          • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #7
                                          C
                                          A - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                          = 0.05
                                          Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).It is set to 0.05 because it captures the fact that even in the context of involuntary transition there will still be a portion of the population able to practice the high-affluence lifestyle.
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                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #8
                                          A
                                          action trigger for behavioural mitigation (dmnl)
                                          =
                                          pressure to respond (perceived pressures)/( behavioural mitigation threshold* SWT behavioural mitigation loop)
                                          Description: An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
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                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                          Feedback Loops: 21 (19.8%) (+) 11  [10,15] (-) 10  [10,14]
                                          Environment - Societal Responses Model #9
                                          L
                                          Adaptation capacity (Impact units)
                                          =
                                          adaptation capacity increase rate dt + 1.0
                                          Description: The adaptation efforts accumulate into a stock of Adaptation Capacity, which represents infrastructure and other types of investments around the world that serve to relieve the immediate pressures of climate change. Adaptation capacity is best depicted as a stock because “adaptation can be classified as incremental or developmental. In incremental adaptation, when original facilities and inputs are insufficient to resist a natural disaster, considering the emerging climatic risks, investments are added onto existing communal facilities, and the action is specific for the new additional climatic risk.” (Engle, 2011; Zhao et al., 2018, p. 86). For example, investments to build levees and dams to reduce floods caused by extreme weather events or rising sea levels help alleviate the immediate pressures and threats of floods caused by climate change and can be further raised if needed. Other examples showing the breadth and cumulative nature of adaptation are using more and more nets to protect trees fruit crops against the worsening of extreme hail events (Manja & Aoun, 2019),protecting capital through more and more extensive insurance against climate change (Jørgensen et al., 2020; McLeman & Smit, 2006; Suarez & Linnerooth-Bayer, 2010; Thomas & Leichenko, 2011).
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                                          • adaptation implemented We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                          • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                          Feedback Loops: 3 (2.8%) (+) 0  [0,0] (-) 3  [4,7]
                                          Environment - Societal Responses Model #10
                                          A
                                          adaptation capacity built per effort (Impact units/$)
                                          = IF THEN ELSE(
                                          SWT diminishing returns in adaptation capacity built per effort=1, diminishing returns in adaptation capacity built per effort multiplier* constant returns in adaptation capacity built per effort, constant returns in adaptation capacity built per effort)
                                          Description: This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                          Present In 1 View: Used By Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                          Environment - Societal Responses Model #11
                                          LI,F,A
                                          adaptation capacity increase rate (Impact units/Year)
                                          =
                                          adaptation capacity built per effort* adaptation effort per year
                                          Description: This flow computes the development of adaptation capacity over time.
                                          Present In 1 View: Used By
                                          • Adaptation capacity The adaptation efforts accumulate into a stock of Adaptation Capacity, which represents infrastructure and other types of investments around the world that serve to relieve the immediate pressures of climate change. Adaptation capacity is best depicted as a stock because “adaptation can be classified as incremental or developmental. In incremental adaptation, when original facilities and inputs are insufficient to resist a natural disaster, considering the emerging climatic risks, investments are added onto existing communal facilities, and the action is specific for the new additional climatic risk.” (Engle, 2011; Zhao et al., 2018, p. 86). For example, investments to build levees and dams to reduce floods caused by extreme weather events or rising sea levels help alleviate the immediate pressures and threats of floods caused by climate change and can be further raised if needed. Other examples showing the breadth and cumulative nature of adaptation are using more and more nets to protect trees fruit crops against the worsening of extreme hail events (Manja & Aoun, 2019),protecting capital through more and more extensive insurance against climate change (Jørgensen et al., 2020; McLeman & Smit, 2006; Suarez & Linnerooth-Bayer, 2010; Thomas & Leichenko, 2011).
                                          Feedback Loops: 3 (2.8%) (+) 0  [0,0] (-) 3  [4,7]
                                          Environment - Societal Responses Model #12
                                          A
                                          adaptation effort per year ($/Year)
                                          =
                                          effort taken against impact per year* effect of pressure to respond on adaptation priority
                                          Description: This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
                                          Present In 1 View: Used By Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [6,7]
                                          Environment - Societal Responses Model #13
                                          SM,A
                                          adaptation implemented (Impact units)
                                          = SMOOTH3I(
                                          Adaptation capacity, time to implement adaptation capacity, Adaptation capacity)
                                          Description: We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
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                                          • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                          Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [6,7]
                                          Environment - Societal Responses Model #14
                                          A
                                          affluence and population growth (dmnl)
                                          = 1+(
                                          time effect* affluence and population growth multiplier)
                                          Description: Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
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                                          • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #15
                                          C
                                          affluence and population growth multiplier (dmnl/Year)
                                          = 0.1
                                          Description: Data indicates that CO2 emissions in gigatons were approximately 5.5 in 1950 and 11 in 1960 (Friedlingstein et al., 2023), showing a 10% growth rate during that period. Based on this trend, we assumed a 10% annual growth rate as the reference impacts throughout the entire simulated period in the absence of corrective actions. Because impacts in the model are driven by population and affluence, we assign this 10% annual growth rate to their combined effect. In other words, since impacts in the model depend on population and affluence, we assume that their combined effect grows at this rate in the absence of corrective action.This assumption was made considering that the period from 1950 to 1960 represents an era when there were no significant concerns about affluence growth, making it an ideal untouched period where policies did not affect the growth trends in impacts - capturing what would have been if humanity did not care about the impact issue.This reflects a counterfactual baseline in which no policy or behavioral responses constrain growth.https:/ourworldindata.org/co2-emissionshttps:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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                                          • affluence and population growth Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #16
                                          C
                                          alternative allocation to adaptation fraction (dmnl )
                                          = 1
                                          Description: This decision rule (ranging from 0 [none] to 1 [all]) determines how much of the resources are allocated to adaptation. The remainder is invested in technological mitigation. This rule is activated and used in prototypical scenarios to explore system behavior under conditions where either adaptation or technological mitigation is dominant. Change to 1 for 100% allocation to adaptation and change to 0 for 100% allocation to tech mitigation
                                          Present In 2 Views:
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                                          • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #17
                                          A
                                          attractiveness of high-affluence lifestyle (Attractiveness units)
                                          = (
                                          reference attractivness high-affluence lifestyle+( Population with high-affluence lifestyle* lifestyle socio-technical regime effect))* effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation* effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response* effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change
                                          Description: The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
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                                          • relative attractiveness of high-afflluence lifestyle A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
                                          • total attractiveness of all lifestyle Variable calculating the toal attractivenss of all lifestyles in the system.
                                          Feedback Loops: 75 (70.8%) (+) 37  [4,15] (-) 38  [5,15]
                                          Environment - Societal Responses Model #18
                                          A
                                          attractiveness of low-affluence lifestyle (Attractiveness units)
                                          = (
                                          reference attractiveness low-affluence lifestyle+( lifestyle socio-technical regime effect* Population with low-affluence lifestyle))
                                          Description: The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
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                                          • relative attractiveness of low-affluence lifestyle Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
                                          • total attractiveness of all lifestyle Variable calculating the toal attractivenss of all lifestyles in the system.
                                          Feedback Loops: 21 (19.8%) (+) 10  [4,15] (-) 11  [5,15]
                                          Environment - Societal Responses Model #19
                                          C
                                          behavioural mitigation threshold (dmnl )
                                          = 1.1
                                          Description: Although threat perception and appraisal (‘perceived pressures’) are crucial drivers for triggering, it does not automatically yield the desired long-term behavioural changes, as many additional barriers can hinder it (Beckage et al., 2018; García de Jalón et al., 2015; Lorenzoni et al., 2007), like knowledge, perceived efficacy, or memory, making the behavioural change from a social perspective highly inertial. For example, correct causal attributions may not be straightforward in complex socio-technical systems (Cheng et al., 2017), or people may have difficulty attributing responsibility to a specific behaviour when multiple people interact in a system (Cheng et al., 2017), and actions often do not involve direct consequences but delayed and (often indirect) harm (van de Poel & Nihlén Fahlquist, 2013). Or people may not understand that their constant pursuit of higher affluence is responsible for environmental disruption or are misled by some specific vested interests in not believing so (Grasso, 2020; Lamb et al., 2020; Painter et al., 2023). This mechanism is similar to ‘resources allocation threshold’: it is not automatic to take action once pressures are perceived.For this reason, the 'behavioural change threshold' provides an additional threshold and is set an higher value than the 'pressure tolerance threshold'.Multiple by 1000 if we want to turn this loop off for Rapid Beh Response scenario
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                                          • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #20
                                          C
                                          behavioural mitigation threshold rapid response (dmnl )
                                          = 1.05
                                          Description: Value at which the rapid behavioural mitigation response is activated (if the 'SWT to rapid response after perception' activated). This parameter is calibrated to match the 'resource allocation threshold' variable, thereby replicating the threshold at which perceived pressures first led to resource mobilisation in the late 1970s and early 1980s, consistent with the First World Climate Conference (1979*). In other words, the behavioural rapid-response regime is triggered when perceived pressures exceed the level required in the late 1970s to initiate the first large-scale allocation of climate-related resources.*Gupta, J. A history of international climate change policy. Wiley Interdiscip. Rev. Clim. Chang. 1, 636-653 (2010).
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                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #21
                                          C
                                          C - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                          = 1
                                          Description: Parameter C in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                          • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #22
                                          C
                                          C - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                          = 1
                                          Description: Parameter C in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                          • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #23
                                          C
                                          C - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                          = 1
                                          Description: Parameter C in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of old lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #24
                                          C
                                          C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                          = 1
                                          Description: Parameter C in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of old lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #25
                                          C
                                          C - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                          = 1
                                          Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                          Environment - Societal Responses Model #26
                                          A
                                          CO2 absorption (CO2 Gt/Year)
                                          =
                                          impacts absorption* CO2 Gt converter
                                          Description: The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
                                          Present In 1 View: Used By
                                            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                            Environment - Societal Responses Model #27
                                            A
                                            CO2 emissions (CO2 Gt/Year)
                                            =
                                            impacts generation* CO2 Gt converter
                                            Description: The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
                                            Present In 1 View: Used By
                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                              Environment - Societal Responses Model #28
                                              C
                                              CO2 Gt converter (CO2 Gt/Impact units)
                                              = 1100
                                              Description: Variable to convert the impacts into CO2 gigatonnes (Gt). Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023). This value was selected to ensure the CO2 emission at the start of the simulation matched the 1950 real data (approximately 5.5 Gt of CO2).
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                                              Used By
                                              • CO2 absorption The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
                                              • CO2 emissions The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                              Environment - Societal Responses Model #29
                                              A
                                              CO2 ppm (CO2 ppm)
                                              =
                                              Cumulative impacts* cumulative impacts to CO2ppm equivalent
                                              Description: The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                              Present In 1 View: Used By
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #30
                                                C
                                                constant returns in adaptation capacity built per effort (Impact units/$ )
                                                = 0.025
                                                Description: This variable represents reference amount of adaptation capacity developed per unit of 'adaptation effort per year'.
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                                                • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #31
                                                C
                                                constant returns in mitigation technological development built per effort (dmnl/$ )
                                                = 0.09
                                                Description: This variable represents reference amount of technological mitigation developed per unit of 'technological effort per year'.
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                                                • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #32
                                                L
                                                Cumulative impacts (Impact units)
                                                =
                                                impacts generation- impacts absorption dt + 1.0
                                                Description: The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                Present In 1 View: Used By
                                                • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                • socio-environmental consequences After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
                                                • CO2 ppm The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
                                                • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
                                                Feedback Loops: 67 (63.2%) (+) 32  [9,15] (-) 35  [2,15]
                                                Environment - Societal Responses Model #33
                                                C
                                                cumulative impacts target level (Impact units)
                                                = 0.9
                                                Description: This value represents the level of 'Cumulative Impacts' that the system naturally tends toward. Given that the 'Cumulative Impacts' stock is initialized at 1, representing 300 ppm CO2 in the atmosphere in 1950, and considering that historically, CO2 levels on the planet have averaged between 250-280 ppm (Friedlingstein et al., 2023), we assumed that the target balance level for CO2 in the atmosphere is approximately 270 ppm. This translates to a normalized value of 0.9 (since 270/300 = 0.9).https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                Present In 1 View:
                                                Used By
                                                • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #34
                                                C
                                                cumulative impacts to CO2ppm equivalent (CO2 ppm/Impact units)
                                                = 300
                                                Description: This variable converts the 'Cumulative Impacts' stock into CO2 ppm. We used the CO2 ppm levels in the atmosphere to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023). The initial value was selected to match the 1950 real data, which was approximately 300 ppm (Friedlingstein et al., 2023; IPCC, 2023). Given that the 'Cumulative Impacts' stock starts at 1 in 1950, this converter is set to 300.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                Present In 1 View:
                                                Used By
                                                • CO2 ppm The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #35
                                                A
                                                diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                = (
                                                A - diminishing returns in adaptation capacity built per effort multiplier+( K - diminishing returns in adaptation capacity built per effort multiplier- A - diminishing returns in adaptation capacity built per effort multiplier)/( C - diminishing returns in adaptation capacity built per effort multiplier+ Q - diminishing returns in adaptation capacity built per effort multiplier*(( A - diminishing returns in adaptation capacity built per effort multiplier*( C - diminishing returns in adaptation capacity built per effort multiplier-1)+ K - diminishing returns in adaptation capacity built per effort multiplier- ry - diminishing returns in adaptation capacity built per effort multiplier* C - diminishing returns in adaptation capacity built per effort multiplier)/( Q - diminishing returns in adaptation capacity built per effort multiplier*( ry - diminishing returns in adaptation capacity built per effort multiplier- A - diminishing returns in adaptation capacity built per effort multiplier)))^(( Adaptation capacity- M - diminishing returns in adaptation capacity built per effort multiplier)/( rx - diminishing returns in adaptation capacity built per effort multiplier- M - diminishing returns in adaptation capacity built per effort multiplier))))
                                                Description: This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                Present In 1 View: Used By
                                                • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                                Environment - Societal Responses Model #36
                                                A
                                                dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                = (
                                                A - dimishing returns in mitigation technological development per effort multiplier+( K - dimishing returns in mitigation technological development per effort multiplier- A - dimishing returns in mitigation technological development per effort multiplier)/( C - dimishing returns in mitigation technological development per effort multiplier+ Q - dimishing returns in mitigation technological development per effort multiplier*(( A - dimishing returns in mitigation technological development per effort multiplier*( C - dimishing returns in mitigation technological development per effort multiplier-1)+ K - dimishing returns in mitigation technological development per effort multiplier- ry - dimishing returns in mitigation technological development per effort multiplier* C - dimishing returns in mitigation technological development per effort multiplier)/( Q - dimishing returns in mitigation technological development per effort multiplier*( ry - dimishing returns in mitigation technological development per effort multiplier- A - dimishing returns in mitigation technological development per effort multiplier)))^(( Mitigation technology- M - dimishing returns in mitigation technological development per effort multiplier)/( rx - dimishing returns in mitigation technological development per effort multiplier- M - dimishing returns in mitigation technological development per effort multiplier))))
                                                Description: This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                Present In 1 View: Used By
                                                • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                Feedback Loops: 1 (0.9%) (+) 1  [4,4] (-) 0  [0,0]
                                                Environment - Societal Responses Model #37
                                                A
                                                effect of pressure to respond on adaptation priority (dmnl)
                                                = (
                                                A - effect of pressure perception on adaptation priority+( K - effect of pressure perception on adaptation priority- A - effect of pressure perception on adaptation priority)/(1+(( K - effect of pressure perception on adaptation priority- ry - effect of pressure perception on adaptation priority)/( ry - effect of pressure perception on adaptation priority- A - effect of pressure perception on adaptation priority))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressure perception on adaptation priority)/( rx - effect of pressure perception on adaptation priority- M - effect of pressure perception on adaptation priority))))*(1- SWT to static allocation rule)+ alternative allocation to adaptation fraction* SWT to static allocation rule
                                                Description: In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                Present In 1 View: Used By
                                                • adaptation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
                                                • technological mitigation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
                                                Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [6,6]
                                                Environment - Societal Responses Model #38
                                                A
                                                effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (dmnl)
                                                = (
                                                A - effect of pressures perception on attractivenss of high affluence lifestyle+( K - effect of pressures perception on attractivenss of high affluence lifestyle- A - effect of pressures perception on attractivenss of high affluence lifestyle)/( C - effect of pressures perception on attractivenss of high affluence lifestyle+ Q - effect of pressures perception on attractivenss of high affluence lifestyle*(( A - effect of pressures perception on attractivenss of high affluence lifestyle*( C - effect of pressures perception on attractivenss of high affluence lifestyle-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle- ry - effect of pressures perception on attractivenss of high affluence lifestyle* C - effect of pressures perception on attractivenss of high affluence lifestyle)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle*( ry - effect of pressures perception on attractivenss of high affluence lifestyle- A - effect of pressures perception on attractivenss of high affluence lifestyle)))^(( action trigger for behavioural mitigation- M - effect of pressures perception on attractivenss of high affluence lifestyle)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle- M - effect of pressures perception on attractivenss of high affluence lifestyle))))
                                                Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                Present In 1 View: Used By
                                                • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                Feedback Loops: 21 (19.8%) (+) 11  [10,15] (-) 10  [10,14]
                                                Environment - Societal Responses Model #39
                                                A
                                                effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (dmnl)
                                                = SAMPLE IF TRUE((
                                                SWT rapid behavioural response* pressure to respond (perceived pressures))/ behavioural mitigation threshold rapid response>1:AND:( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+( K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+ Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*(( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response* C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))^((( pressure to respond (perceived pressures)/ behavioural mitigation threshold rapid response)- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response))))< effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response,( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+( K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+ Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*(( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response* C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))^((( pressure to respond (perceived pressures)/ behavioural mitigation threshold rapid response)- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))),1)
                                                Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                Present In 1 View: Used By
                                                • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                Feedback Loops: 21 (19.8%) (+) 10  [9,13] (-) 11  [9,14]
                                                Environment - Societal Responses Model #40
                                                A
                                                effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (dmnl)
                                                = (
                                                A - forced effect of pressure perception attractiveness of high affluence lifestyle+( K - forced effect of pressure perception attractiveness of high affluence lifestyle- A - forced effect of pressure perception attractiveness of high affluence lifestyle)/( C - forced effect of pressure perception attractiveness of high affluence lifestyle+ Q - forced effect of pressure perception attractiveness of high affluence lifestyle*(( A - forced effect of pressure perception attractiveness of high affluence lifestyle*( C - forced effect of pressure perception attractiveness of high affluence lifestyle-1)+ K - forced effect of pressure perception attractiveness of high affluence lifestyle- ry - forced effect of pressure perception attractiveness of high affluence lifestyle* C - forced effect of pressure perception attractiveness of high affluence lifestyle)/( Q - forced effect of pressure perception attractiveness of high affluence lifestyle*( ry - forced effect of pressure perception attractiveness of high affluence lifestyle- A - forced effect of pressure perception attractiveness of high affluence lifestyle)))^((( forced behavioural change trigger)- M - forced effect of pressure perception attractiveness of high affluence lifestyle)/( rx - forced effect of pressure perception attractiveness of high affluence lifestyle- M - forced effect of pressure perception attractiveness of high affluence lifestyle))))
                                                Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                Present In 1 View: Used By
                                                • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                Feedback Loops: 21 (19.8%) (+) 10  [10,14] (-) 11  [10,15]
                                                Environment - Societal Responses Model #41
                                                A
                                                effect of pressure to respond on effort (dmnl)
                                                = (
                                                A - effect of pressures perception on effort - base scenario+( K - effect of pressures perception on effort - base scenario- A - effect of pressures perception on effort - base scenario)/(1+(( K - effect of pressures perception on effort - base scenario- ry - effect of pressures perception on effort - base scenario)/( ry - effect of pressures perception on effort - base scenario- A - effect of pressures perception on effort - base scenario))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressures perception on effort - base scenario)/( rx - effect of pressures perception on effort - base scenario- M - effect of pressures perception on effort - base scenario))))*(1- SWT to rapid response after perception)+( A - effect of pressures perception on effort - alternative scenario+( K - effect of pressures perception on effort - alternative scenario- A - effect of pressures perception on effort - alternative scenario)/(1+(( K - effect of pressures perception on effort - alternative scenario- ry - effect of pressures perception on effort - alternative scenario)/( ry - effect of pressures perception on effort - alternative scenario- A - effect of pressures perception on effort - alternative scenario))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressures perception on effort - alternative scenario)/( rx - effect of pressures perception on effort - alternative scenario- M - effect of pressures perception on effort - alternative scenario))))* SWT to rapid response after perception
                                                Description: In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                Present In 1 View: Used By
                                                • effort taken against impact per year This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
                                                Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [7,11]
                                                Environment - Societal Responses Model #42
                                                A
                                                effort taken against impact per year ($/Year)
                                                =
                                                total potential effort per year* effect of pressure to respond on effort
                                                Description: This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
                                                Present In 1 View: Used By
                                                • adaptation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
                                                • technological mitigation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
                                                Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [7,11]
                                                Environment - Societal Responses Model #43
                                                A
                                                forced behavioural change threshold (dmnl)
                                                = 1.6*
                                                SWT forced behavioural change loop
                                                Description: This value captures the threshold at which the perceived environmental disruption becomes so extreme that the high-affluence lifestyle becomes unsustainable. It is set to 1.6. Given that increases of approximately 0.3 impact units correspond to a 1°C variation in the model, this implies that if the population perceives the consequences of a 2°C variation compared to what they are adapted to, the high-affluence lifestyle becomes less attractive. The 2°C threshold is based on the IPCC report (2023, longer report, p. 31; Risk as burning embers figure), where at this level, human risk is considered very high.
                                                Present In 2 Views: Used By
                                                • forced behavioural change trigger If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #44
                                                A
                                                forced behavioural change trigger (dmnl)
                                                =
                                                pressure to respond (perceived pressures)/ forced behavioural change threshold
                                                Description: If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
                                                Present In 1 View: Used By
                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                Feedback Loops: 21 (19.8%) (+) 10  [10,14] (-) 11  [10,15]
                                                Environment - Societal Responses Model #45
                                                C
                                                fractional consumption from high- to low-affluence lifestyle (dmnl)
                                                = 0.3
                                                Description: We assume a 70% reduction relative to the 2020 high-affluence impact (i.e., a 0.3 multiplier). This value represents the midpoint between the 90% potential reduction suggested by Wiedmann et al. (2020) and the 50% reduction mentioned by Seto et al. (2016).
                                                Present In 1 View:
                                                Used By
                                                • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #46
                                                C
                                                imitation coefficient transition (dmnl/Year)
                                                = 0.38
                                                Description: The empirical average value of the imitation coefficient (also known in the literature as q/coefficient of imitation/internal influence/word-of-mouth effect) has been found to be 0.38, with a typical range between 0.3 and 0.5. (Mahajan et al., 1995)
                                                Present In 1 View:
                                                Used By
                                                • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #47
                                                C
                                                imitation coefficient transition back (dmnl/Year)
                                                = 0.38
                                                Description: The empirical average value of the imitation coefficient (also known in the literature as q/coefficient of imitation/internal influence/word-of-mouth effect) has been found to be 0.38, with a typical range between 0.3 and 0.5. (Mahajan et al., 1995)
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                                                • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #48
                                                C
                                                impact population high affluence lifestyle in 2020 (Impact units/Year)
                                                = 0.0004
                                                Description: Because Wiedmann et al. (2020) derive their estimates of low-affluence lifestyle impacts using 2020 emission levels, we anchor our calibration to the model’s impact value in 2020 (which depends on affluence). This 2020 reference level is then used to compute the impact associated with a low-affluence lifestyle.
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                                                • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #49
                                                A
                                                impact population high affuence lifestyle (Impact units/Year)
                                                =
                                                affluence and population growth* initial impact high affluence lifestyle per person* population 1950
                                                Description: These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
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                                                • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
                                                • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #50
                                                A
                                                impact population low affluence lifestyle (Impact units/Year)
                                                = MIN(
                                                impact population high affuence lifestyle,( impact population high affluence lifestyle in 2020* fractional consumption from high- to low-affluence lifestyle))
                                                Description: In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
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                                                • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #51
                                                LI,F,A
                                                impacts absorption (Impact units/Year)
                                                = MAX(0,(
                                                Cumulative impacts- cumulative impacts target level)/ impacts absorption time)
                                                Description: The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
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                                                • CO2 absorption The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
                                                • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [2,4]
                                                Environment - Societal Responses Model #52
                                                A
                                                impacts absorption time (Year)
                                                =
                                                reference impacts absorption time* natural sinks degradation due to cumulative impacts multiplier
                                                Description: This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
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                                                • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
                                                Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                                Environment - Societal Responses Model #53
                                                LI,F,A
                                                impacts generation (Impact units/Year)
                                                = ((
                                                Population with high-affluence lifestyle* impact population high affuence lifestyle* technology effect)+( Population with low-affluence lifestyle* impact population low affluence lifestyle* technology effect))
                                                Description: The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
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                                                • CO2 emissions The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
                                                • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                Feedback Loops: 65 (61.3%) (+) 32  [9,15] (-) 33  [9,15]
                                                Environment - Societal Responses Model #54
                                                C
                                                initial impact high affluence lifestyle per person (Impact units/Year/People)
                                                = 5.56256e-14
                                                Description: The initial value of 'impact of high-affluence lifestyle' is estimated using the CO2 Gt emissions in 1950 as a reference point, aligning the impacts with the values observed in 1950. Data shows that CO2 Gigatons emissions in 1950 were approx. 5.5. Given this value and the corresponding population in 1950, the per-capita impact of a high-affluence lifestyle is calculated accordingly (dividing 5.5 by the population value). This calibration ensures that the model outputs are consistent with the scenarios outlined in the latest IPCC report (2023).(Friedlingstein et al., 2023) https:/ourworldindata.org/co2-emissionshttps:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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                                                • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #55
                                                LI,C
                                                initial Population with high-affluence lifestyle (dmnl)
                                                = 100
                                                Description: Assumed value for the population embracing a high affluence and impact lifestyle at the beginning of the simulation. Given that the simulation starts in 1950 and considering the conceptual nature of the model, we assumed that a high-affluence lifestyle was embraced by the whole population at the start.
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                                                • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #56
                                                LI,C
                                                initial Population with low-affluence lifestyle (dmnl)
                                                = 0
                                                Description: Assumed value for the population embracing a low affluence and low impact lifestyle at the beginning of the simulation. Given that the simulation starts in 1950 and considering the conceptual nature of the model, we assumed that a low-affluence lifestyle was not voluntarily embraced by anyone at the start.
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                                                • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #57
                                                C
                                                K - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                = 1
                                                Description: Parameter K in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #58
                                                C
                                                K - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                = 1
                                                Description: Parameter K in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #59
                                                C
                                                K - effect of pressure perception on adaptation priority (dmnl)
                                                = 0.95
                                                Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). We are assuming that even with very extreme perceived pressures 5% of the resources will be allocated to mitigation.
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                                                • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #60
                                                C
                                                K - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                = 1
                                                Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #61
                                                C
                                                K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                = 1
                                                Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #62
                                                C
                                                K - effect of pressures perception on effort - alternative scenario (dmnl)
                                                = 1
                                                Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
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                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #63
                                                C
                                                K - effect of pressures perception on effort - base scenario (dmnl)
                                                = 1
                                                Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
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                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #64
                                                C
                                                K - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                = 1
                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #65
                                                C
                                                lifestyle socio-technical regime effect (Attractiveness units/dmnl )
                                                = 0.01
                                                Description: This variable corresponds to the rr constant in Arthur's lock-in model (Arthur, 1989; Safarzyńska et al., 2012 – thoroughly explained in the "attractiveness of low affluence lifestyle" variable) that computes the network effect on preferences. In this context, the network effect consists of sociological forces (i.e., the more a lifestyle is adopted, the more socially acceptable and institutionalized it becomes) and technical forces (i.e., the more widespread a lifestyle is, the more the technical landscape adapts to suit its needs). Its value has been set to 0.015 based on an educated guess. It must be greater than 0, as we know that such an effect exists. We assumed it to be 0.015 so that if 100% of the population embraces a lifestyle, its attractiveness increases by 1.5, which is within a reasonable range considering that the intrinsic attractiveness of the current high-affluence lifestyle starts at a base value of 1.
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                                                • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #66
                                                C
                                                M - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
                                                = 1.2
                                                Description: Parameter M in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). Although there is uncertainty as to whether absolute limits to adaptation exist, current research suggests that such limits exists and may be closer than expected (Berkhout & Dow, 2023; Dow et al., 2013; more on this in the main manuscript). Assuming this to be the case, there is nevertheless very limited knowledge regarding the time required to reach these limits. As a baseline assumption, we propose that once diminishing returns set in, and provided that high levels of investment in adaptation continue, these limits would be reached after 50 years (around 15 years to halve capacity, followed by a more gradual decline towards marginal, near-zero gains). The lower bound of the parameter space is set at 1.17 based on the current model specification and calibration. At this value, the model yields convergence to near-zero gains within approximately 10 years.All calibrations make sure that the diminishing returns occurs after 2025 as of today we don't see evidence of such limitations.
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                                                • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #67
                                                C
                                                M - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                = 2.75
                                                Description: Parameter M in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). It remains uncertain whether absolute limits to technological mitigation exist. Consequently, even if such limits do exist, the rate of diminishing returns per unit of investment is also unknown. In this model, we assume that under sustained investment it would take approximately 75 years to reach an overall reduction of around 80%. This rate is assumed to be slightly slower than the adaptation limit, as adaptation is constrained not only by intellectual and technological factors but also by the physiological limits of the human body in coping with extreme conditions, as discussed in the main manuscript. All calibrations make sure that the diminishing returns occurs after 2025 as of today we don't see evidence of such limitations.Sensitivity analyses, reported in the supplementary materials, indicate that variations in this parameter do not alter the fundamental behavioural modes of the model.Lower value = 1.3, then = 2.75
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                                                • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #68
                                                A
                                                M - effect of pressure perception on adaptation priority (dmnl )
                                                = IF THEN ELSE(
                                                Time>=2026, M - effect of pressure perception on adaptation priority for sensitivity analysis, M - effect of pressure perception on adaptation priority for sensitivity analysis)
                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). Higher values lead to higher allocations to technological mitigation. Although empirical data on the allocation of effort between mitigation and adaptation remain limited, the M parameter of this function has been calibrated under the base scenario (current pathway) so that the variables 'adaptation effort per year' and 'technological mitigation effort per year' are consistent with the available empirical estimates. Further details on this calibration are provided in the relevant model function descriptions.Base case = 1.4; Alternbative value (more Tech Mitigation) = 1.7
                                                Present In 1 View: Used By
                                                • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #69
                                                C
                                                M - effect of pressure perception on adaptation priority for sensitivity analysis (dmnl)
                                                = 1.4
                                                Description: This value should be linked to the 'M - effect of pressure perception on adaptation priority' parameter and used to replace both values in the IF THEN ELSE function, so that sensitivity analyses can be conducted
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                                                Used By
                                                • M - effect of pressure perception on adaptation priority Parameter M in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). Higher values lead to higher allocations to technological mitigation. Although empirical data on the allocation of effort between mitigation and adaptation remain limited, the M parameter of this function has been calibrated under the base scenario (current pathway) so that the variables 'adaptation effort per year' and 'technological mitigation effort per year' are consistent with the available empirical estimates. Further details on this calibration are provided in the relevant model function descriptions.Base case = 1.4; Alternbative value (more Tech Mitigation) = 1.7
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #70
                                                C
                                                M - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                = 1.4
                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022). This value is set to 1.4 so that the lifestyle transition under conditions of sustained and mounting pressure unfolds over approximately 40-60 years, consistent with Schot and Kanger’s (2018) review, which shows that deep socio-technical transitions historically unfold over several decades in the absence of strong external shocks or exceptional policy intervention.
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                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #71
                                                C
                                                M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl )
                                                = 1.25
                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).This parameter produces a steeper response function, representing accelerated societal behaviour under high pressure. By definition, it is lower than the M parameter governing normal behavioural responses. We set this value to 1.25, reflecting a scenario in which sustained pressure triggers substantial lifestyle changes within a few decades, consistent with Sovacool (2016), who shows that socio-technical transitions can occur within one to two decades under favourable conditions.
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                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #72
                                                C
                                                M - effect of pressures perception on effort - alternative scenario (dmnl )
                                                = 1.01
                                                Description: Parameter M in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022). This value delivers a rather steep function as it aims to capture the rapid societla response.
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                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #73
                                                C
                                                M - effect of pressures perception on effort - base scenario (dmnl )
                                                = 1.5
                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                                Present In 1 View:
                                                Used By
                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #74
                                                C
                                                M - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                = 1.1
                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                Present In 1 View:
                                                Used By
                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #75
                                                A
                                                mitigation technlogical development per effort (dmnl/$)
                                                = IF THEN ELSE(
                                                SWT dimishing returns in mitigation technological development per effort=1, dimishing returns in mitigation technological development per effort multiplier* constant returns in mitigation technological development built per effort, constant returns in mitigation technological development built per effort)
                                                Description: This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                Present In 1 View: Used By Feedback Loops: 1 (0.9%) (+) 1  [4,4] (-) 0  [0,0]
                                                Environment - Societal Responses Model #76
                                                L
                                                Mitigation technology (dmnl)
                                                =
                                                mitigation technology development rate dt + 1.0
                                                Description: This stock represents the level of mitigation technology developed within the system. It starts at 1, reflecting the technological efficiency level of 1950, and accumulates over time as investments are made to improve mitigation technology. Assuming an evolutionary perspective on technological development, this stock increases only, due to variations in the inflow. Higher values indicate scenarios with greater efficiency. For example,a value of 2 in Mitigation technology equals to have a techological mitigation efficiency (broadly intended) twice of what is was in the 1950s.
                                                Present In 1 View: Used By
                                                • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                • mitigation technology implemented We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                Feedback Loops: 3 (2.8%) (+) 2  [4,10] (-) 1  [11,11]
                                                Environment - Societal Responses Model #77
                                                LI,F,A
                                                mitigation technology development rate (dmnl/Year)
                                                =
                                                technological mitigation effort per year* mitigation technlogical development per effort
                                                Description: This flow computes the development of technological mitigation over time.
                                                Present In 1 View: Used By
                                                • Mitigation technology This stock represents the level of mitigation technology developed within the system. It starts at 1, reflecting the technological efficiency level of 1950, and accumulates over time as investments are made to improve mitigation technology. Assuming an evolutionary perspective on technological development, this stock increases only, due to variations in the inflow. Higher values indicate scenarios with greater efficiency. For example,a value of 2 in Mitigation technology equals to have a techological mitigation efficiency (broadly intended) twice of what is was in the 1950s.
                                                Feedback Loops: 3 (2.8%) (+) 2  [4,10] (-) 1  [11,11]
                                                Environment - Societal Responses Model #78
                                                DE,A
                                                mitigation technology implemented (dmnl)
                                                = DELAY3I(
                                                Mitigation technology, time to implement mitigation technology, Mitigation technology)
                                                Description: We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
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                                                • technology effect Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
                                                Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
                                                Environment - Societal Responses Model #79
                                                C
                                                natural sinks degradation curve slope (dmnl/Impact units)
                                                = 0.6
                                                Description: This value is used to assess the impact and calibrate the steepness of the 'Natural Sinks Degradation due to Cumulative Impacts Multiplier' function.
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                                                • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #80
                                                A
                                                natural sinks degradation due to cumulative impacts multiplier (dmnl)
                                                = MAX(1,EXP((
                                                Cumulative impacts- natural sinks degradation due to cumulative impacts threshold)* natural sinks degradation curve slope))
                                                Description: Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
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                                                • impacts absorption time This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
                                                Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                                Environment - Societal Responses Model #81
                                                C
                                                natural sinks degradation due to cumulative impacts threshold (Impact units)
                                                = 1.4
                                                Description: The threshold for triggering natural sinks degradation is set to 1.4 for the following reasons. The 'Cumulative Impacts' stock starts at a value of 1, which, according to the calibration, represents approximately 300 ppm CO2 in 1950. By 2020, early signs of potential natural sink deterioration and tipping points have been observed (Lenton et al. 2019). Given that the current CO2 ppm is approximately 420, we used this data to estimate the threshold for sink degradation: 420 ppm/300 ppm=1.4.
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                                                Used By
                                                • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                Environment - Societal Responses Model #82
                                                A
                                                perceived pressures - Cumulative impacts gap (Impact units)
                                                =
                                                Cumulative impacts-( pressure to respond (perceived pressures)* pressures to impact units converter)
                                                Description: Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                Present In 1 View: Used By
                                                  Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                  Environment - Societal Responses Model #83
                                                  A
                                                  perceived pressures - socio-environmental consequences gap (Impact units)
                                                  =
                                                  socio-environmental consequences-( pressure to respond (perceived pressures)* pressures to impact units converter)
                                                  Description: Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                  Present In 1 View: Used By
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #84
                                                    C
                                                    perception delay (Year)
                                                    = 20
                                                    Description: It is assumed that it takes 20 years for 'Cumulative Impacts' to generate tangible consequences for the human population.
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                                                    Used By
                                                    • socio-environmental consequences After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #85
                                                    C
                                                    population 1950 (People)
                                                    = 8.98867e+08
                                                    Description: Global North population in 1950. To calculate the Global North population, considering the countries listed here https:/worldpopulationreview.com/country-rankings/global-north-countries. The national population is taken from the United Nations https:/population.un.org/wpp/ (accessed 16/02/2026) (Total Population, as of 1 January)
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                                                    • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #86
                                                    L
                                                    Population with high-affluence lifestyle (dmnl)
                                                    =
                                                    transition back to high-affluence lifestyle- transition to low-affluence lifestyle dt + initial Population with high-affluence lifestyle
                                                    Description: Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                    Present In 1 View: Used By
                                                    • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                    • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                    • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                    • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                    • total population The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
                                                    Feedback Loops: 82 (77.4%) (+) 40  [2,15] (-) 42  [2,15]
                                                    Environment - Societal Responses Model #87
                                                    L
                                                    Population with low-affluence lifestyle (dmnl)
                                                    =
                                                    transition to low-affluence lifestyle- transition back to high-affluence lifestyle dt + initial Population with low-affluence lifestyle
                                                    Description: Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                    Present In 1 View: Used By
                                                    • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
                                                    • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                    • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                    • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                    • total population The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
                                                    Feedback Loops: 82 (77.4%) (+) 39  [2,15] (-) 43  [2,15]
                                                    Environment - Societal Responses Model #88
                                                    A
                                                    pressure to respond (perceived pressures) (dmnl)
                                                    = (
                                                    socio-environmental consequences/ adaptation implemented)/ pressures tolerance threshold
                                                    Description: The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
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                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                    • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                    • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                    • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
                                                    • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                    • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                    • forced behavioural change trigger If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
                                                    Feedback Loops: 67 (63.2%) (+) 32  [9,15] (-) 35  [6,15]
                                                    Environment - Societal Responses Model #89
                                                    C
                                                    pressures to impact units converter (Impact units)
                                                    = 1
                                                    Description: 'perceived pressures' are dimensionless (dmnl). However, their relationship to impact units is scaled to be 1:1. This aids in translating the variable's meaning and anchoring it to tangible values and realities.
                                                    Present In 1 View:
                                                    Used By
                                                    • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                    • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #90
                                                    C
                                                    pressures tolerance threshold (dmnl)
                                                    = 1
                                                    Description: The ‘pressures tolerance threshold’ represents the minimum level of discomfort (in impact units) that the ‘perceived cumulative impacts’ need to cause before people start paying attention to them. If ‘perceived cumulative impacts’ are low (e.g., minor increases in average temperature, slight decreases in average rainfall per season, or small increases in the number of extreme weather events) and do not exceed the tolerance threshold, people are unlikely even to recognise (and so respond) to them. The higher the ‘pressures tolerance threshold’, the more delayed any response will be to reduce the pressure.The value is set to 1. This is because the normal geological level of CO2 is at 0.9 impact units (270 ppm CO2) in our model. Therefore, the first perception of environmental change occurs when people perceive the consequences of CO2 levels reaching 300 ppm.Additionally, we assume that the perception threshold is constant over time. While this assumption seems plausible, the recent Covid-19 pandemic showed that societal risk thresholds can change over time as fatigue with precautions increases, making people more willing to take risks (Rahmandad & Sterman, 2022). This indicates room for further exploration, as the population could raise their tolerance threshold if subjected to prolonged pressures and called to follow strict and unpopular rules.
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                                                    • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #91
                                                    C
                                                    Q - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                    = 1
                                                    Description: Parameter Q in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                    • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #92
                                                    C
                                                    Q - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                    = 1
                                                    Description: Parameter Q in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                    • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #93
                                                    C
                                                    Q - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                    = 1
                                                    Description: Parameter Q in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #94
                                                    C
                                                    Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                    = 1
                                                    Description: Parameter Q in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #95
                                                    C
                                                    Q - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                    = 1
                                                    Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #96
                                                    C
                                                    reference attractiveness low-affluence lifestyle (Attractiveness units )
                                                    = 0.25
                                                    Description: This variable represents the intrinsic attractiveness and utility of the new low-affluence lifestyle, capturing how inherently desirable it is to people, aside from any additional socio-technical benefits effect. It is set to 0.25 as the baseline starting value to capture that the low-affluence lifestyle is significantly less appealing at the moment than the current high-impact one.
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                                                    • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #97
                                                    C
                                                    reference attractivness high-affluence lifestyle (Attractiveness units )
                                                    = 1
                                                    Description: This variable represents the intrinsic attractiveness and utility of the old high-affluence lifestyle, capturing how inherently desirable it is to people, aside from any additional socio-technical benefits effect. It is set to 1 as the baseline starting value to serve as a reference point, representing the attractiveness of the current lifestyle.
                                                    Present In 1 View:
                                                    Used By
                                                    • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #98
                                                    C
                                                    reference impacts absorption time (Year)
                                                    = 20
                                                    Description: The average time that additional cumulative impacts (exceeding the 'cumulative impacts balance') stay in the 'Cumulative Impact' stock is assumed to be 20 years. This value is an educated guess based on the varying absorption times of different pollutants and greenhouse gases (e.g., Methane 11.8 years, Nitrous Oxide 109 years, fluorinated gases ranging from a few weeks to thousands of years). For example, "carbon dioxide’s lifetime cannot be represented with a single value because the gas is not destroyed over time, but instead moves among different parts of the ocean/atmosphere/land system. Some of the excess carbon dioxide is absorbed quickly (for example, by the ocean surface), but some will remain in the atmosphere for thousands of years, due in part to the very slow process by which carbon is transferred to ocean sediments." Considering this range of absorption times, we made the educated guess that 20 years is a reasonable value that captures the diversity of absorption rates and aligns well with the conceptual needs of the model.https:/www.epa.gov/climate-indicators/greenhouse-gases
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                                                    • impacts absorption time This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #99
                                                    C
                                                    reference technology (dmnl)
                                                    = 1
                                                    Description: This variable represents the mitigation technology starting point. As the stock of 'Mitigation technology' is initialised at 1, this variable assumes the value of 1.
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                                                    • technology effect Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #100
                                                    A
                                                    relative attractiveness of high-afflluence lifestyle (1)
                                                    =
                                                    attractiveness of high-affluence lifestyle/ total attractiveness of all lifestyle
                                                    Description: A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
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                                                    • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                    Feedback Loops: 57 (53.8%) (+) 28  [4,15] (-) 29  [5,15]
                                                    Environment - Societal Responses Model #101
                                                    A
                                                    relative attractiveness of low-affluence lifestyle (1)
                                                    =
                                                    attractiveness of low-affluence lifestyle/ total attractiveness of all lifestyle
                                                    Description: Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
                                                    Present In 1 View: Used By
                                                    • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                    Feedback Loops: 39 (36.8%) (+) 19  [4,15] (-) 20  [5,15]
                                                    Environment - Societal Responses Model #102
                                                    C
                                                    resources allocation threshold (dmnl )
                                                    = 1.05
                                                    Description: The ‘resources allocation threshold’ represents the minimum level perceived pressures (and so ‘socio-environmental consequences’) need to be before people start mobilising resources. This variable captures the fact that is not automatic to take action even if we perceive a problem. The higher the ‘resources allocation threshold’, the more delayed any response will be to reduce the pressure.The value is set to 1.05, indicating a 5% tolerance in the variation of ‘perceived pressures’ (and so of ‘perceived cumulative impacts’) before resources are mobilised. To translate this If 1 equals 300 ppm CO2, then this means that humanity does act until it perceives the consequences of CO2 levels up to 315 ppm.
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                                                    • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                    • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #103
                                                    C
                                                    rx - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
                                                    = 1.15921
                                                    Description: Reference point rx in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
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                                                    • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #104
                                                    C
                                                    rx - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                    = 1
                                                    Description: Reference point rx in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
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                                                    • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #105
                                                    C
                                                    rx - effect of pressure perception on adaptation priority (dmnl)
                                                    = 1
                                                    Description: Parameter rx in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #106
                                                    C
                                                    rx - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                    = 1
                                                    Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #107
                                                    C
                                                    rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                    = 1
                                                    Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #108
                                                    C
                                                    rx - effect of pressures perception on effort - alternative scenario (dmnl)
                                                    = 1
                                                    Description: Reference point rx in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #109
                                                    C
                                                    rx - effect of pressures perception on effort - base scenario (dmnl)
                                                    = 1
                                                    Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #110
                                                    C
                                                    rx - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                    = 1
                                                    Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #111
                                                    C
                                                    ry - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                    = 0.99
                                                    Description: Reference point ry in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #112
                                                    C
                                                    ry - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                    = 0.99
                                                    Description: Reference point ry in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #113
                                                    C
                                                    ry - effect of pressure perception on adaptation priority (dmnl)
                                                    = 0.05
                                                    Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).We are assuming that even with low perceived pressures 5% of the resources will be allocated to adaptation.
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #114
                                                    C
                                                    ry - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                    = 0.95
                                                    Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #115
                                                    C
                                                    ry - effect of pressures perception on effort - alternative scenario (dmnl)
                                                    = 0.01
                                                    Description: Reference point ry in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #116
                                                    C
                                                    ry - effect of pressures perception on effort - base scenario (dmnl)
                                                    = 0.01
                                                    Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #117
                                                    C
                                                    ry - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                    = 0.95
                                                    Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #118
                                                    C
                                                    ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                    = 0.99
                                                    Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                    Present In 1 View:
                                                    Used By
                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #119
                                                    C
                                                    simulation start time (Year)
                                                    = 1950
                                                    Description: Simulation starting time.
                                                    Present In 1 View:
                                                    Used By
                                                    • time effect This variable is calculated to represent the passage of time in the simulation, as affluence growth is dependent on time.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #120
                                                    SM,A
                                                    socio-environmental consequences (Impact units)
                                                    = SMOOTH(
                                                    Cumulative impacts, perception delay)
                                                    Description: After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
                                                    Present In 1 View: Used By
                                                    • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                    • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                                    Feedback Loops: 65 (61.3%) (+) 32  [9,15] (-) 33  [9,15]
                                                    Environment - Societal Responses Model #121
                                                    A
                                                    SWT behavioural mitigation loop (dmnl)
                                                    = IF THEN ELSE(
                                                    Time>=2026,1,1)*1+IF THEN ELSE( Time>=2026,1000,1)*0
                                                    Description: IF THEN ELSE(Time>=2026, 1000 , 1 ) If you want to turn off this feedback loop, you need to set the threshold parameter to a very high value.
                                                    Present In 1 View: Used By
                                                    • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #122
                                                    C
                                                    SWT diminishing returns in adaptation capacity built per effort (dmnl )
                                                    = 1
                                                    Description: This switch activates the diminishing returns to adaptation mechanism, allowing the exploration of the limits to adaptation scenarios.
                                                    Present In 2 Views:
                                                    Used By
                                                    • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #123
                                                    C
                                                    SWT dimishing returns in mitigation technological development per effort (dmnl )
                                                    = 1
                                                    Description: This switch activates the diminishing returns to technological mitigation mechanism, allowing the exploration of the limits to technological development scenarios.
                                                    Present In 2 Views:
                                                    Used By
                                                    • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #124
                                                    C
                                                    SWT forced behavioural change loop (dmnl)
                                                    = 1000
                                                    Description: Switch to activate the forced behavioural change loop. Set it to 1 to activate it. Set it to 1000 to deactivate it.
                                                    Present In 1 View:
                                                    Used By
                                                    • forced behavioural change threshold This value captures the threshold at which the perceived environmental disruption becomes so extreme that the high-affluence lifestyle becomes unsustainable. It is set to 1.6. Given that increases of approximately 0.3 impact units correspond to a 1°C variation in the model, this implies that if the population perceives the consequences of a 2°C variation compared to what they are adapted to, the high-affluence lifestyle becomes less attractive. The 2°C threshold is based on the IPCC report (2023, longer report, p. 31; Risk as burning embers figure), where at this level, human risk is considered very high.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #125
                                                    A
                                                    SWT rapid behavioural response (dmnl)
                                                    = IF THEN ELSE(
                                                    Time>=2026,0,0)
                                                    Description: Switch to trigger rapid behavioural response in 2026 if activated
                                                    Present In 1 View: Used By
                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #126
                                                    A
                                                    SWT to rapid response after perception (dmnl )
                                                    = IF THEN ELSE(
                                                    Time>=2026,0,0)
                                                    Description: Switch to activate the alternative prototypical scenario in which resource allocation is much much more rapid once perceived pressures exceed a certain threshold.
                                                    Present In 2 Views: Used By
                                                    • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #127
                                                    A
                                                    SWT to static allocation rule (dmnl )
                                                    = IF THEN ELSE(
                                                    Time>=2026,0,0)
                                                    Description: Switch to activate the alternative prototypical scenario in which resource allocation is static.
                                                    Present In 2 Views: Used By
                                                    • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #128
                                                    A
                                                    technological mitigation effort per year ($/Year)
                                                    =
                                                    effort taken against impact per year*(1- effect of pressure to respond on adaptation priority)
                                                    Description: This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
                                                    Present In 1 View: Used By Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
                                                    Environment - Societal Responses Model #129
                                                    A
                                                    technology effect (dmnl)
                                                    =
                                                    reference technology/ mitigation technology implemented
                                                    Description: Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
                                                    Present In 1 View: Used By
                                                    • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                    Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
                                                    Environment - Societal Responses Model #130
                                                    A
                                                    time effect (Year)
                                                    = (
                                                    Time- simulation start time)
                                                    Description: This variable is calculated to represent the passage of time in the simulation, as affluence growth is dependent on time.
                                                    Present In 1 View: Used By
                                                    • affluence and population growth Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #131
                                                    C
                                                    time to implement adaptation capacity (Year )
                                                    = 1
                                                    Description: The implementation of the developed adapatation capacity is not instantaneous and takes some time. However, this period is relatively short, especially when compared to the 'time to implement mitigation technology' (Zhao et al. 2018).
                                                    Present In 1 View:
                                                    Used By
                                                    • adaptation implemented We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #132
                                                    C
                                                    time to implement mitigation technology (Year)
                                                    = 15
                                                    Description: The implementation of developed technological mitigation is not instantaneous and takes time. This period is relatively long, especially when compared to the 'time to implement adaptation technology,' because it takes a long time to broadly implement developed mitigation technologies (Schot et al., 2016; Sovacool, 2016). For this model, we assumed a value of 15 years. This value was chosen based on the famous Limits to Growth model (Meadows et al., 1972), where the time to implement technology was set at 20 years. We chose a slightly shorter period, believing that implementation delays have decreased a bit over time.
                                                    Present In 1 View:
                                                    Used By
                                                    • mitigation technology implemented We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                    Environment - Societal Responses Model #133
                                                    A
                                                    total actual effort ($/Year)
                                                    =
                                                    adaptation effort per year+ technological mitigation effort per year
                                                    Description: Variable computing the total effort mobilised (adaptation + technological mitigation) in the simulation.
                                                    Present In 1 View: Used By
                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                      Environment - Societal Responses Model #134
                                                      A
                                                      total attractiveness of all lifestyle (Attractiveness units)
                                                      =
                                                      attractiveness of low-affluence lifestyle+ attractiveness of high-affluence lifestyle
                                                      Description: Variable calculating the toal attractivenss of all lifestyles in the system.
                                                      Present In 1 View: Used By
                                                      • relative attractiveness of high-afflluence lifestyle A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
                                                      • relative attractiveness of low-affluence lifestyle Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
                                                      Feedback Loops: 56 (52.8%) (+) 26  [5,15] (-) 30  [5,15]
                                                      Environment - Societal Responses Model #135
                                                      A
                                                      total population (dmnl)
                                                      =
                                                      Population with high-affluence lifestyle+ Population with low-affluence lifestyle
                                                      Description: The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
                                                      Present In 1 View: Used By
                                                      • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                      • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                      Feedback Loops: 32 (30.2%) (+) 16  [3,14] (-) 16  [3,14]
                                                      Environment - Societal Responses Model #136
                                                      C
                                                      total potential effort per year ($/Year)
                                                      = 1
                                                      Description: This variable captures the hypothetical total potential effort and resources that humanity can mobilise for adaptation and technological mitigation strategies to tackle climate change. For instance, annual GDP can be used as a proxy for the total potential effort available to the system per year.
                                                      Present In 1 View:
                                                      Used By
                                                      • effort taken against impact per year This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                      Environment - Societal Responses Model #137
                                                      C
                                                      transition back innovators fraction (dmnl/Year )
                                                      = 0.03
                                                      Description: The empirical average value of the innovators fraction (also known in the literature as p/coefficient of innovation/external influence/ advertising effect) has been found to be 0.03, with a typical range between 0.01 and 0.03 (Mahajan et al., 1995)
                                                      Present In 1 View:
                                                      Used By
                                                      • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                      Environment - Societal Responses Model #138
                                                      LI,F,A
                                                      transition back to high-affluence lifestyle (dmnl/Year)
                                                      = (
                                                      transition back innovators fraction* Population with low-affluence lifestyle+ imitation coefficient transition back* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of high-afflluence lifestyle
                                                      Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                      Present In 1 View: Used By
                                                      • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                      • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                      Feedback Loops: 85 (80.2%) (+) 41  [2,15] (-) 44  [2,15]
                                                      Environment - Societal Responses Model #139
                                                      C
                                                      transition innovators fraction (dmnl/Year )
                                                      = 0.03
                                                      Description: The empirical average value of the innovators fraction (also known in the literature as p/coefficient of innovation/external influence/ advertising effect) has been found to be 0.03, with a typical range between 0.01 and 0.03 (Mahajan et al., 1995)
                                                      Present In 1 View:
                                                      Used By
                                                      • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                      Environment - Societal Responses Model #140
                                                      LI,F,A
                                                      transition to low-affluence lifestyle (dmnl/Year)
                                                      = (
                                                      transition innovators fraction* Population with high-affluence lifestyle+ imitation coefficient transition* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of low-affluence lifestyle
                                                      Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                      Present In 1 View: Used By
                                                      • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                      • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                      Feedback Loops: 79 (74.5%) (+) 38  [2,15] (-) 41  [2,15]




                                                      (View) View 2 (7 Variables)




                                                      Top (View) View 2 (7 Variables)
                                                      Group
                                                      Type
                                                      Variable Name And Description
                                                      Environment - Societal Responses Model #16
                                                      C
                                                      alternative allocation to adaptation fraction (dmnl )
                                                      = 1
                                                      Description: This decision rule (ranging from 0 [none] to 1 [all]) determines how much of the resources are allocated to adaptation. The remainder is invested in technological mitigation. This rule is activated and used in prototypical scenarios to explore system behavior under conditions where either adaptation or technological mitigation is dominant. Change to 1 for 100% allocation to adaptation and change to 0 for 100% allocation to tech mitigation
                                                      Present In 2 Views:
                                                      Used By
                                                      • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                      Environment - Societal Responses Model #43
                                                      A
                                                      forced behavioural change threshold (dmnl)
                                                      = 1.6*
                                                      SWT forced behavioural change loop
                                                      Description: This value captures the threshold at which the perceived environmental disruption becomes so extreme that the high-affluence lifestyle becomes unsustainable. It is set to 1.6. Given that increases of approximately 0.3 impact units correspond to a 1°C variation in the model, this implies that if the population perceives the consequences of a 2°C variation compared to what they are adapted to, the high-affluence lifestyle becomes less attractive. The 2°C threshold is based on the IPCC report (2023, longer report, p. 31; Risk as burning embers figure), where at this level, human risk is considered very high.
                                                      Present In 2 Views: Used By
                                                      • forced behavioural change trigger If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                      Environment - Societal Responses Model #102
                                                      C
                                                      resources allocation threshold (dmnl )
                                                      = 1.05
                                                      Description: The ‘resources allocation threshold’ represents the minimum level perceived pressures (and so ‘socio-environmental consequences’) need to be before people start mobilising resources. This variable captures the fact that is not automatic to take action even if we perceive a problem. The higher the ‘resources allocation threshold’, the more delayed any response will be to reduce the pressure.The value is set to 1.05, indicating a 5% tolerance in the variation of ‘perceived pressures’ (and so of ‘perceived cumulative impacts’) before resources are mobilised. To translate this If 1 equals 300 ppm CO2, then this means that humanity does act until it perceives the consequences of CO2 levels up to 315 ppm.
                                                      Present In 2 Views:
                                                      Used By
                                                      • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                      • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                      Environment - Societal Responses Model #122
                                                      C
                                                      SWT diminishing returns in adaptation capacity built per effort (dmnl )
                                                      = 1
                                                      Description: This switch activates the diminishing returns to adaptation mechanism, allowing the exploration of the limits to adaptation scenarios.
                                                      Present In 2 Views:
                                                      Used By
                                                      • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                      Environment - Societal Responses Model #123
                                                      C
                                                      SWT dimishing returns in mitigation technological development per effort (dmnl )
                                                      = 1
                                                      Description: This switch activates the diminishing returns to technological mitigation mechanism, allowing the exploration of the limits to technological development scenarios.
                                                      Present In 2 Views:
                                                      Used By
                                                      • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                      Environment - Societal Responses Model #126
                                                      A
                                                      SWT to rapid response after perception (dmnl )
                                                      = IF THEN ELSE(
                                                      Time>=2026,0,0)
                                                      Description: Switch to activate the alternative prototypical scenario in which resource allocation is much much more rapid once perceived pressures exceed a certain threshold.
                                                      Present In 2 Views: Used By
                                                      • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                      Environment - Societal Responses Model #127
                                                      A
                                                      SWT to static allocation rule (dmnl )
                                                      = IF THEN ELSE(
                                                      Time>=2026,0,0)
                                                      Description: Switch to activate the alternative prototypical scenario in which resource allocation is static.
                                                      Present In 2 Views: Used By
                                                      • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]




                                                      Top (Group) .Control (4 Variables)
                                                      Group
                                                      Type
                                                      Variable Name And Description
                                                      .Control #141
                                                      C
                                                      FINAL TIME (Year)
                                                      = 2100
                                                      Description: The final time for the simulation.
                                                      Present In 0 Views:
                                                        Used By
                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                          .Control #142
                                                          C
                                                          INITIAL TIME (Year)
                                                          = 1950
                                                          Description: The initial time for the simulation.
                                                          Present In 0 Views:
                                                            Used By
                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                              .Control #144
                                                              A
                                                              SAVEPER (Year )
                                                              =
                                                              TIME STEP
                                                              Description: The frequency with which output is stored.
                                                              Present In 0 Views:
                                                                Used By
                                                                  Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                  .Control #146
                                                                  C
                                                                  TIME STEP (Year )
                                                                  = 0.25
                                                                  Description: The time step for the simulation.
                                                                  Present In 0 Views:
                                                                    Used By
                                                                    • SAVEPER The frequency with which output is stored.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]




                                                                    Top (Group) Environment - Societal Responses Model (141 Variables)
                                                                    Group
                                                                    Type
                                                                    Variable Name And Description
                                                                    Environment - Societal Responses Model #0
                                                                    C
                                                                    A - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                    = 0
                                                                    Description: Parameter A in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). This value expresses the assumption that adaptation capacity developed per unit of investment will ultimately decline to zero once the diminishing-returns threshold is crossed. Consequently, all uncertainty is concentrated in the M parameter, which governs both the rate of diminishing returns and the point in time at which marginal returns effectively reach zero (i.e., the function’s slope).
                                                                    Present In 1 View:
                                                                    Used By
                                                                    • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #1
                                                                    C
                                                                    A - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                    = 0
                                                                    Description: Parameter A in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). This value implies that, due to diminishing returns, progress per unit of investment will eventually approach zero as the system nears its limit. The time at which this occurs depends on other model parameters, particularly the slope parameter M. In this way, M captures most of the uncertainty surrounding the shape of the diminishing returns curve, determining the slope of the function and when investment returns become negligible.
                                                                    Present In 1 View:
                                                                    Used By
                                                                    • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #2
                                                                    C
                                                                    A - effect of pressure perception on adaptation priority (dmnl)
                                                                    = 0.04
                                                                    Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                    Present In 1 View:
                                                                    Used By
                                                                    • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #3
                                                                    C
                                                                    A - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                    = 0.05
                                                                    Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).It is set to 0.05 because it captures the fact that even in the context of strong behavioural response there will still be a portion of the population to prefer the high-affluence lifestyle.
                                                                    Present In 1 View:
                                                                    Used By
                                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #4
                                                                    C
                                                                    A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                    = 0.05
                                                                    Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).This value indicates when the logistic function aims. It is set to 0.05 because it captures the fact that even in the context of strong behavioural response there will still be a portion of the population to prefer the high-affluence lifestyle.
                                                                    Present In 1 View:
                                                                    Used By
                                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #5
                                                                    C
                                                                    A - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                    = 0
                                                                    Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                                                    Present In 1 View:
                                                                    Used By
                                                                    • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #6
                                                                    C
                                                                    A - effect of pressures perception on effort - base scenario (dmnl)
                                                                    = 0
                                                                    Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                                                    Present In 1 View:
                                                                    Used By
                                                                    • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #7
                                                                    C
                                                                    A - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                    = 0.05
                                                                    Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).It is set to 0.05 because it captures the fact that even in the context of involuntary transition there will still be a portion of the population able to practice the high-affluence lifestyle.
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                                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #8
                                                                    A
                                                                    action trigger for behavioural mitigation (dmnl)
                                                                    =
                                                                    pressure to respond (perceived pressures)/( behavioural mitigation threshold* SWT behavioural mitigation loop)
                                                                    Description: An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
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                                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                    Feedback Loops: 21 (19.8%) (+) 11  [10,15] (-) 10  [10,14]
                                                                    Environment - Societal Responses Model #9
                                                                    L
                                                                    Adaptation capacity (Impact units)
                                                                    =
                                                                    adaptation capacity increase rate dt + 1.0
                                                                    Description: The adaptation efforts accumulate into a stock of Adaptation Capacity, which represents infrastructure and other types of investments around the world that serve to relieve the immediate pressures of climate change. Adaptation capacity is best depicted as a stock because “adaptation can be classified as incremental or developmental. In incremental adaptation, when original facilities and inputs are insufficient to resist a natural disaster, considering the emerging climatic risks, investments are added onto existing communal facilities, and the action is specific for the new additional climatic risk.” (Engle, 2011; Zhao et al., 2018, p. 86). For example, investments to build levees and dams to reduce floods caused by extreme weather events or rising sea levels help alleviate the immediate pressures and threats of floods caused by climate change and can be further raised if needed. Other examples showing the breadth and cumulative nature of adaptation are using more and more nets to protect trees fruit crops against the worsening of extreme hail events (Manja & Aoun, 2019),protecting capital through more and more extensive insurance against climate change (Jørgensen et al., 2020; McLeman & Smit, 2006; Suarez & Linnerooth-Bayer, 2010; Thomas & Leichenko, 2011).
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                                                                    • adaptation implemented We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                                    • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                    Feedback Loops: 3 (2.8%) (+) 0  [0,0] (-) 3  [4,7]
                                                                    Environment - Societal Responses Model #10
                                                                    A
                                                                    adaptation capacity built per effort (Impact units/$)
                                                                    = IF THEN ELSE(
                                                                    SWT diminishing returns in adaptation capacity built per effort=1, diminishing returns in adaptation capacity built per effort multiplier* constant returns in adaptation capacity built per effort, constant returns in adaptation capacity built per effort)
                                                                    Description: This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                    Present In 1 View: Used By Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                                                    Environment - Societal Responses Model #11
                                                                    LI,F,A
                                                                    adaptation capacity increase rate (Impact units/Year)
                                                                    =
                                                                    adaptation capacity built per effort* adaptation effort per year
                                                                    Description: This flow computes the development of adaptation capacity over time.
                                                                    Present In 1 View: Used By
                                                                    • Adaptation capacity The adaptation efforts accumulate into a stock of Adaptation Capacity, which represents infrastructure and other types of investments around the world that serve to relieve the immediate pressures of climate change. Adaptation capacity is best depicted as a stock because “adaptation can be classified as incremental or developmental. In incremental adaptation, when original facilities and inputs are insufficient to resist a natural disaster, considering the emerging climatic risks, investments are added onto existing communal facilities, and the action is specific for the new additional climatic risk.” (Engle, 2011; Zhao et al., 2018, p. 86). For example, investments to build levees and dams to reduce floods caused by extreme weather events or rising sea levels help alleviate the immediate pressures and threats of floods caused by climate change and can be further raised if needed. Other examples showing the breadth and cumulative nature of adaptation are using more and more nets to protect trees fruit crops against the worsening of extreme hail events (Manja & Aoun, 2019),protecting capital through more and more extensive insurance against climate change (Jørgensen et al., 2020; McLeman & Smit, 2006; Suarez & Linnerooth-Bayer, 2010; Thomas & Leichenko, 2011).
                                                                    Feedback Loops: 3 (2.8%) (+) 0  [0,0] (-) 3  [4,7]
                                                                    Environment - Societal Responses Model #12
                                                                    A
                                                                    adaptation effort per year ($/Year)
                                                                    =
                                                                    effort taken against impact per year* effect of pressure to respond on adaptation priority
                                                                    Description: This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
                                                                    Present In 1 View: Used By Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [6,7]
                                                                    Environment - Societal Responses Model #13
                                                                    SM,A
                                                                    adaptation implemented (Impact units)
                                                                    = SMOOTH3I(
                                                                    Adaptation capacity, time to implement adaptation capacity, Adaptation capacity)
                                                                    Description: We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
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                                                                    • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                                                    Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [6,7]
                                                                    Environment - Societal Responses Model #14
                                                                    A
                                                                    affluence and population growth (dmnl)
                                                                    = 1+(
                                                                    time effect* affluence and population growth multiplier)
                                                                    Description: Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
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                                                                    • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #15
                                                                    C
                                                                    affluence and population growth multiplier (dmnl/Year)
                                                                    = 0.1
                                                                    Description: Data indicates that CO2 emissions in gigatons were approximately 5.5 in 1950 and 11 in 1960 (Friedlingstein et al., 2023), showing a 10% growth rate during that period. Based on this trend, we assumed a 10% annual growth rate as the reference impacts throughout the entire simulated period in the absence of corrective actions. Because impacts in the model are driven by population and affluence, we assign this 10% annual growth rate to their combined effect. In other words, since impacts in the model depend on population and affluence, we assume that their combined effect grows at this rate in the absence of corrective action.This assumption was made considering that the period from 1950 to 1960 represents an era when there were no significant concerns about affluence growth, making it an ideal untouched period where policies did not affect the growth trends in impacts - capturing what would have been if humanity did not care about the impact issue.This reflects a counterfactual baseline in which no policy or behavioral responses constrain growth.https:/ourworldindata.org/co2-emissionshttps:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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                                                                    • affluence and population growth Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #16
                                                                    C
                                                                    alternative allocation to adaptation fraction (dmnl )
                                                                    = 1
                                                                    Description: This decision rule (ranging from 0 [none] to 1 [all]) determines how much of the resources are allocated to adaptation. The remainder is invested in technological mitigation. This rule is activated and used in prototypical scenarios to explore system behavior under conditions where either adaptation or technological mitigation is dominant. Change to 1 for 100% allocation to adaptation and change to 0 for 100% allocation to tech mitigation
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                                                                    • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #17
                                                                    A
                                                                    attractiveness of high-affluence lifestyle (Attractiveness units)
                                                                    = (
                                                                    reference attractivness high-affluence lifestyle+( Population with high-affluence lifestyle* lifestyle socio-technical regime effect))* effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation* effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response* effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change
                                                                    Description: The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
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                                                                    • relative attractiveness of high-afflluence lifestyle A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
                                                                    • total attractiveness of all lifestyle Variable calculating the toal attractivenss of all lifestyles in the system.
                                                                    Feedback Loops: 75 (70.8%) (+) 37  [4,15] (-) 38  [5,15]
                                                                    Environment - Societal Responses Model #18
                                                                    A
                                                                    attractiveness of low-affluence lifestyle (Attractiveness units)
                                                                    = (
                                                                    reference attractiveness low-affluence lifestyle+( lifestyle socio-technical regime effect* Population with low-affluence lifestyle))
                                                                    Description: The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
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                                                                    • relative attractiveness of low-affluence lifestyle Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
                                                                    • total attractiveness of all lifestyle Variable calculating the toal attractivenss of all lifestyles in the system.
                                                                    Feedback Loops: 21 (19.8%) (+) 10  [4,15] (-) 11  [5,15]
                                                                    Environment - Societal Responses Model #19
                                                                    C
                                                                    behavioural mitigation threshold (dmnl )
                                                                    = 1.1
                                                                    Description: Although threat perception and appraisal (‘perceived pressures’) are crucial drivers for triggering, it does not automatically yield the desired long-term behavioural changes, as many additional barriers can hinder it (Beckage et al., 2018; García de Jalón et al., 2015; Lorenzoni et al., 2007), like knowledge, perceived efficacy, or memory, making the behavioural change from a social perspective highly inertial. For example, correct causal attributions may not be straightforward in complex socio-technical systems (Cheng et al., 2017), or people may have difficulty attributing responsibility to a specific behaviour when multiple people interact in a system (Cheng et al., 2017), and actions often do not involve direct consequences but delayed and (often indirect) harm (van de Poel & Nihlén Fahlquist, 2013). Or people may not understand that their constant pursuit of higher affluence is responsible for environmental disruption or are misled by some specific vested interests in not believing so (Grasso, 2020; Lamb et al., 2020; Painter et al., 2023). This mechanism is similar to ‘resources allocation threshold’: it is not automatic to take action once pressures are perceived.For this reason, the 'behavioural change threshold' provides an additional threshold and is set an higher value than the 'pressure tolerance threshold'.Multiple by 1000 if we want to turn this loop off for Rapid Beh Response scenario
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                                                                    • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #20
                                                                    C
                                                                    behavioural mitigation threshold rapid response (dmnl )
                                                                    = 1.05
                                                                    Description: Value at which the rapid behavioural mitigation response is activated (if the 'SWT to rapid response after perception' activated). This parameter is calibrated to match the 'resource allocation threshold' variable, thereby replicating the threshold at which perceived pressures first led to resource mobilisation in the late 1970s and early 1980s, consistent with the First World Climate Conference (1979*). In other words, the behavioural rapid-response regime is triggered when perceived pressures exceed the level required in the late 1970s to initiate the first large-scale allocation of climate-related resources.*Gupta, J. A history of international climate change policy. Wiley Interdiscip. Rev. Clim. Chang. 1, 636-653 (2010).
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                                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #21
                                                                    C
                                                                    C - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                    = 1
                                                                    Description: Parameter C in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                    Present In 1 View:
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                                                                    • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #22
                                                                    C
                                                                    C - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                    = 1
                                                                    Description: Parameter C in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                    Present In 1 View:
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                                                                    • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #23
                                                                    C
                                                                    C - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                    = 1
                                                                    Description: Parameter C in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of old lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #24
                                                                    C
                                                                    C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                    = 1
                                                                    Description: Parameter C in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of old lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #25
                                                                    C
                                                                    C - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                    = 1
                                                                    Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                    Environment - Societal Responses Model #26
                                                                    A
                                                                    CO2 absorption (CO2 Gt/Year)
                                                                    =
                                                                    impacts absorption* CO2 Gt converter
                                                                    Description: The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
                                                                    Present In 1 View: Used By
                                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                      Environment - Societal Responses Model #27
                                                                      A
                                                                      CO2 emissions (CO2 Gt/Year)
                                                                      =
                                                                      impacts generation* CO2 Gt converter
                                                                      Description: The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
                                                                      Present In 1 View: Used By
                                                                        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                        Environment - Societal Responses Model #28
                                                                        C
                                                                        CO2 Gt converter (CO2 Gt/Impact units)
                                                                        = 1100
                                                                        Description: Variable to convert the impacts into CO2 gigatonnes (Gt). Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023). This value was selected to ensure the CO2 emission at the start of the simulation matched the 1950 real data (approximately 5.5 Gt of CO2).
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                                                                        • CO2 absorption The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
                                                                        • CO2 emissions The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
                                                                        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                        Environment - Societal Responses Model #29
                                                                        A
                                                                        CO2 ppm (CO2 ppm)
                                                                        =
                                                                        Cumulative impacts* cumulative impacts to CO2ppm equivalent
                                                                        Description: The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                                        Present In 1 View: Used By
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #30
                                                                          C
                                                                          constant returns in adaptation capacity built per effort (Impact units/$ )
                                                                          = 0.025
                                                                          Description: This variable represents reference amount of adaptation capacity developed per unit of 'adaptation effort per year'.
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #31
                                                                          C
                                                                          constant returns in mitigation technological development built per effort (dmnl/$ )
                                                                          = 0.09
                                                                          Description: This variable represents reference amount of technological mitigation developed per unit of 'technological effort per year'.
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                                                                          Used By
                                                                          • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #32
                                                                          L
                                                                          Cumulative impacts (Impact units)
                                                                          =
                                                                          impacts generation- impacts absorption dt + 1.0
                                                                          Description: The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                                          Present In 1 View: Used By
                                                                          • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                          • socio-environmental consequences After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
                                                                          • CO2 ppm The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                                          • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
                                                                          • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
                                                                          Feedback Loops: 67 (63.2%) (+) 32  [9,15] (-) 35  [2,15]
                                                                          Environment - Societal Responses Model #33
                                                                          C
                                                                          cumulative impacts target level (Impact units)
                                                                          = 0.9
                                                                          Description: This value represents the level of 'Cumulative Impacts' that the system naturally tends toward. Given that the 'Cumulative Impacts' stock is initialized at 1, representing 300 ppm CO2 in the atmosphere in 1950, and considering that historically, CO2 levels on the planet have averaged between 250-280 ppm (Friedlingstein et al., 2023), we assumed that the target balance level for CO2 in the atmosphere is approximately 270 ppm. This translates to a normalized value of 0.9 (since 270/300 = 0.9).https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #34
                                                                          C
                                                                          cumulative impacts to CO2ppm equivalent (CO2 ppm/Impact units)
                                                                          = 300
                                                                          Description: This variable converts the 'Cumulative Impacts' stock into CO2 ppm. We used the CO2 ppm levels in the atmosphere to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023). The initial value was selected to match the 1950 real data, which was approximately 300 ppm (Friedlingstein et al., 2023; IPCC, 2023). Given that the 'Cumulative Impacts' stock starts at 1 in 1950, this converter is set to 300.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • CO2 ppm The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #35
                                                                          A
                                                                          diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                          = (
                                                                          A - diminishing returns in adaptation capacity built per effort multiplier+( K - diminishing returns in adaptation capacity built per effort multiplier- A - diminishing returns in adaptation capacity built per effort multiplier)/( C - diminishing returns in adaptation capacity built per effort multiplier+ Q - diminishing returns in adaptation capacity built per effort multiplier*(( A - diminishing returns in adaptation capacity built per effort multiplier*( C - diminishing returns in adaptation capacity built per effort multiplier-1)+ K - diminishing returns in adaptation capacity built per effort multiplier- ry - diminishing returns in adaptation capacity built per effort multiplier* C - diminishing returns in adaptation capacity built per effort multiplier)/( Q - diminishing returns in adaptation capacity built per effort multiplier*( ry - diminishing returns in adaptation capacity built per effort multiplier- A - diminishing returns in adaptation capacity built per effort multiplier)))^(( Adaptation capacity- M - diminishing returns in adaptation capacity built per effort multiplier)/( rx - diminishing returns in adaptation capacity built per effort multiplier- M - diminishing returns in adaptation capacity built per effort multiplier))))
                                                                          Description: This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                          Present In 1 View: Used By
                                                                          • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                          Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                                                          Environment - Societal Responses Model #36
                                                                          A
                                                                          dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                          = (
                                                                          A - dimishing returns in mitigation technological development per effort multiplier+( K - dimishing returns in mitigation technological development per effort multiplier- A - dimishing returns in mitigation technological development per effort multiplier)/( C - dimishing returns in mitigation technological development per effort multiplier+ Q - dimishing returns in mitigation technological development per effort multiplier*(( A - dimishing returns in mitigation technological development per effort multiplier*( C - dimishing returns in mitigation technological development per effort multiplier-1)+ K - dimishing returns in mitigation technological development per effort multiplier- ry - dimishing returns in mitigation technological development per effort multiplier* C - dimishing returns in mitigation technological development per effort multiplier)/( Q - dimishing returns in mitigation technological development per effort multiplier*( ry - dimishing returns in mitigation technological development per effort multiplier- A - dimishing returns in mitigation technological development per effort multiplier)))^(( Mitigation technology- M - dimishing returns in mitigation technological development per effort multiplier)/( rx - dimishing returns in mitigation technological development per effort multiplier- M - dimishing returns in mitigation technological development per effort multiplier))))
                                                                          Description: This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                          Present In 1 View: Used By
                                                                          • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                          Feedback Loops: 1 (0.9%) (+) 1  [4,4] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #37
                                                                          A
                                                                          effect of pressure to respond on adaptation priority (dmnl)
                                                                          = (
                                                                          A - effect of pressure perception on adaptation priority+( K - effect of pressure perception on adaptation priority- A - effect of pressure perception on adaptation priority)/(1+(( K - effect of pressure perception on adaptation priority- ry - effect of pressure perception on adaptation priority)/( ry - effect of pressure perception on adaptation priority- A - effect of pressure perception on adaptation priority))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressure perception on adaptation priority)/( rx - effect of pressure perception on adaptation priority- M - effect of pressure perception on adaptation priority))))*(1- SWT to static allocation rule)+ alternative allocation to adaptation fraction* SWT to static allocation rule
                                                                          Description: In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                          Present In 1 View: Used By
                                                                          • adaptation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
                                                                          • technological mitigation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
                                                                          Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [6,6]
                                                                          Environment - Societal Responses Model #38
                                                                          A
                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (dmnl)
                                                                          = (
                                                                          A - effect of pressures perception on attractivenss of high affluence lifestyle+( K - effect of pressures perception on attractivenss of high affluence lifestyle- A - effect of pressures perception on attractivenss of high affluence lifestyle)/( C - effect of pressures perception on attractivenss of high affluence lifestyle+ Q - effect of pressures perception on attractivenss of high affluence lifestyle*(( A - effect of pressures perception on attractivenss of high affluence lifestyle*( C - effect of pressures perception on attractivenss of high affluence lifestyle-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle- ry - effect of pressures perception on attractivenss of high affluence lifestyle* C - effect of pressures perception on attractivenss of high affluence lifestyle)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle*( ry - effect of pressures perception on attractivenss of high affluence lifestyle- A - effect of pressures perception on attractivenss of high affluence lifestyle)))^(( action trigger for behavioural mitigation- M - effect of pressures perception on attractivenss of high affluence lifestyle)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle- M - effect of pressures perception on attractivenss of high affluence lifestyle))))
                                                                          Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                          Present In 1 View: Used By
                                                                          • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                          Feedback Loops: 21 (19.8%) (+) 11  [10,15] (-) 10  [10,14]
                                                                          Environment - Societal Responses Model #39
                                                                          A
                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (dmnl)
                                                                          = SAMPLE IF TRUE((
                                                                          SWT rapid behavioural response* pressure to respond (perceived pressures))/ behavioural mitigation threshold rapid response>1:AND:( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+( K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+ Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*(( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response* C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))^((( pressure to respond (perceived pressures)/ behavioural mitigation threshold rapid response)- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response))))< effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response,( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+( K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+ Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*(( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response* C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))^((( pressure to respond (perceived pressures)/ behavioural mitigation threshold rapid response)- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))),1)
                                                                          Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                          Present In 1 View: Used By
                                                                          • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                          Feedback Loops: 21 (19.8%) (+) 10  [9,13] (-) 11  [9,14]
                                                                          Environment - Societal Responses Model #40
                                                                          A
                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (dmnl)
                                                                          = (
                                                                          A - forced effect of pressure perception attractiveness of high affluence lifestyle+( K - forced effect of pressure perception attractiveness of high affluence lifestyle- A - forced effect of pressure perception attractiveness of high affluence lifestyle)/( C - forced effect of pressure perception attractiveness of high affluence lifestyle+ Q - forced effect of pressure perception attractiveness of high affluence lifestyle*(( A - forced effect of pressure perception attractiveness of high affluence lifestyle*( C - forced effect of pressure perception attractiveness of high affluence lifestyle-1)+ K - forced effect of pressure perception attractiveness of high affluence lifestyle- ry - forced effect of pressure perception attractiveness of high affluence lifestyle* C - forced effect of pressure perception attractiveness of high affluence lifestyle)/( Q - forced effect of pressure perception attractiveness of high affluence lifestyle*( ry - forced effect of pressure perception attractiveness of high affluence lifestyle- A - forced effect of pressure perception attractiveness of high affluence lifestyle)))^((( forced behavioural change trigger)- M - forced effect of pressure perception attractiveness of high affluence lifestyle)/( rx - forced effect of pressure perception attractiveness of high affluence lifestyle- M - forced effect of pressure perception attractiveness of high affluence lifestyle))))
                                                                          Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                          Present In 1 View: Used By
                                                                          • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                          Feedback Loops: 21 (19.8%) (+) 10  [10,14] (-) 11  [10,15]
                                                                          Environment - Societal Responses Model #41
                                                                          A
                                                                          effect of pressure to respond on effort (dmnl)
                                                                          = (
                                                                          A - effect of pressures perception on effort - base scenario+( K - effect of pressures perception on effort - base scenario- A - effect of pressures perception on effort - base scenario)/(1+(( K - effect of pressures perception on effort - base scenario- ry - effect of pressures perception on effort - base scenario)/( ry - effect of pressures perception on effort - base scenario- A - effect of pressures perception on effort - base scenario))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressures perception on effort - base scenario)/( rx - effect of pressures perception on effort - base scenario- M - effect of pressures perception on effort - base scenario))))*(1- SWT to rapid response after perception)+( A - effect of pressures perception on effort - alternative scenario+( K - effect of pressures perception on effort - alternative scenario- A - effect of pressures perception on effort - alternative scenario)/(1+(( K - effect of pressures perception on effort - alternative scenario- ry - effect of pressures perception on effort - alternative scenario)/( ry - effect of pressures perception on effort - alternative scenario- A - effect of pressures perception on effort - alternative scenario))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressures perception on effort - alternative scenario)/( rx - effect of pressures perception on effort - alternative scenario- M - effect of pressures perception on effort - alternative scenario))))* SWT to rapid response after perception
                                                                          Description: In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                          Present In 1 View: Used By
                                                                          • effort taken against impact per year This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
                                                                          Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [7,11]
                                                                          Environment - Societal Responses Model #42
                                                                          A
                                                                          effort taken against impact per year ($/Year)
                                                                          =
                                                                          total potential effort per year* effect of pressure to respond on effort
                                                                          Description: This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
                                                                          Present In 1 View: Used By
                                                                          • adaptation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
                                                                          • technological mitigation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
                                                                          Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [7,11]
                                                                          Environment - Societal Responses Model #43
                                                                          A
                                                                          forced behavioural change threshold (dmnl)
                                                                          = 1.6*
                                                                          SWT forced behavioural change loop
                                                                          Description: This value captures the threshold at which the perceived environmental disruption becomes so extreme that the high-affluence lifestyle becomes unsustainable. It is set to 1.6. Given that increases of approximately 0.3 impact units correspond to a 1°C variation in the model, this implies that if the population perceives the consequences of a 2°C variation compared to what they are adapted to, the high-affluence lifestyle becomes less attractive. The 2°C threshold is based on the IPCC report (2023, longer report, p. 31; Risk as burning embers figure), where at this level, human risk is considered very high.
                                                                          Present In 2 Views: Used By
                                                                          • forced behavioural change trigger If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #44
                                                                          A
                                                                          forced behavioural change trigger (dmnl)
                                                                          =
                                                                          pressure to respond (perceived pressures)/ forced behavioural change threshold
                                                                          Description: If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
                                                                          Present In 1 View: Used By
                                                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                          Feedback Loops: 21 (19.8%) (+) 10  [10,14] (-) 11  [10,15]
                                                                          Environment - Societal Responses Model #45
                                                                          C
                                                                          fractional consumption from high- to low-affluence lifestyle (dmnl)
                                                                          = 0.3
                                                                          Description: We assume a 70% reduction relative to the 2020 high-affluence impact (i.e., a 0.3 multiplier). This value represents the midpoint between the 90% potential reduction suggested by Wiedmann et al. (2020) and the 50% reduction mentioned by Seto et al. (2016).
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #46
                                                                          C
                                                                          imitation coefficient transition (dmnl/Year)
                                                                          = 0.38
                                                                          Description: The empirical average value of the imitation coefficient (also known in the literature as q/coefficient of imitation/internal influence/word-of-mouth effect) has been found to be 0.38, with a typical range between 0.3 and 0.5. (Mahajan et al., 1995)
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #47
                                                                          C
                                                                          imitation coefficient transition back (dmnl/Year)
                                                                          = 0.38
                                                                          Description: The empirical average value of the imitation coefficient (also known in the literature as q/coefficient of imitation/internal influence/word-of-mouth effect) has been found to be 0.38, with a typical range between 0.3 and 0.5. (Mahajan et al., 1995)
                                                                          Present In 1 View:
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                                                                          • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #48
                                                                          C
                                                                          impact population high affluence lifestyle in 2020 (Impact units/Year)
                                                                          = 0.0004
                                                                          Description: Because Wiedmann et al. (2020) derive their estimates of low-affluence lifestyle impacts using 2020 emission levels, we anchor our calibration to the model’s impact value in 2020 (which depends on affluence). This 2020 reference level is then used to compute the impact associated with a low-affluence lifestyle.
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                                                                          • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #49
                                                                          A
                                                                          impact population high affuence lifestyle (Impact units/Year)
                                                                          =
                                                                          affluence and population growth* initial impact high affluence lifestyle per person* population 1950
                                                                          Description: These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
                                                                          Present In 1 View: Used By
                                                                          • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
                                                                          • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #50
                                                                          A
                                                                          impact population low affluence lifestyle (Impact units/Year)
                                                                          = MIN(
                                                                          impact population high affuence lifestyle,( impact population high affluence lifestyle in 2020* fractional consumption from high- to low-affluence lifestyle))
                                                                          Description: In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
                                                                          Present In 1 View: Used By
                                                                          • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #51
                                                                          LI,F,A
                                                                          impacts absorption (Impact units/Year)
                                                                          = MAX(0,(
                                                                          Cumulative impacts- cumulative impacts target level)/ impacts absorption time)
                                                                          Description: The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
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                                                                          • CO2 absorption The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
                                                                          • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                                          Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [2,4]
                                                                          Environment - Societal Responses Model #52
                                                                          A
                                                                          impacts absorption time (Year)
                                                                          =
                                                                          reference impacts absorption time* natural sinks degradation due to cumulative impacts multiplier
                                                                          Description: This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
                                                                          Present In 1 View: Used By
                                                                          • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
                                                                          Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                                                          Environment - Societal Responses Model #53
                                                                          LI,F,A
                                                                          impacts generation (Impact units/Year)
                                                                          = ((
                                                                          Population with high-affluence lifestyle* impact population high affuence lifestyle* technology effect)+( Population with low-affluence lifestyle* impact population low affluence lifestyle* technology effect))
                                                                          Description: The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                          Present In 1 View: Used By
                                                                          • CO2 emissions The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
                                                                          • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                                          Feedback Loops: 65 (61.3%) (+) 32  [9,15] (-) 33  [9,15]
                                                                          Environment - Societal Responses Model #54
                                                                          C
                                                                          initial impact high affluence lifestyle per person (Impact units/Year/People)
                                                                          = 5.56256e-14
                                                                          Description: The initial value of 'impact of high-affluence lifestyle' is estimated using the CO2 Gt emissions in 1950 as a reference point, aligning the impacts with the values observed in 1950. Data shows that CO2 Gigatons emissions in 1950 were approx. 5.5. Given this value and the corresponding population in 1950, the per-capita impact of a high-affluence lifestyle is calculated accordingly (dividing 5.5 by the population value). This calibration ensures that the model outputs are consistent with the scenarios outlined in the latest IPCC report (2023).(Friedlingstein et al., 2023) https:/ourworldindata.org/co2-emissionshttps:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                                          Present In 1 View:
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                                                                          • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #55
                                                                          LI,C
                                                                          initial Population with high-affluence lifestyle (dmnl)
                                                                          = 100
                                                                          Description: Assumed value for the population embracing a high affluence and impact lifestyle at the beginning of the simulation. Given that the simulation starts in 1950 and considering the conceptual nature of the model, we assumed that a high-affluence lifestyle was embraced by the whole population at the start.
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                                                                          • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #56
                                                                          LI,C
                                                                          initial Population with low-affluence lifestyle (dmnl)
                                                                          = 0
                                                                          Description: Assumed value for the population embracing a low affluence and low impact lifestyle at the beginning of the simulation. Given that the simulation starts in 1950 and considering the conceptual nature of the model, we assumed that a low-affluence lifestyle was not voluntarily embraced by anyone at the start.
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                                                                          • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #57
                                                                          C
                                                                          K - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                          = 1
                                                                          Description: Parameter K in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                          • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #58
                                                                          C
                                                                          K - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                          = 1
                                                                          Description: Parameter K in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                          Present In 1 View:
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                                                                          • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #59
                                                                          C
                                                                          K - effect of pressure perception on adaptation priority (dmnl)
                                                                          = 0.95
                                                                          Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). We are assuming that even with very extreme perceived pressures 5% of the resources will be allocated to mitigation.
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                                                                          • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #60
                                                                          C
                                                                          K - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                          = 1
                                                                          Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                          Present In 1 View:
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                                                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #61
                                                                          C
                                                                          K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                          = 1
                                                                          Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                          Present In 1 View:
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                                                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #62
                                                                          C
                                                                          K - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                          = 1
                                                                          Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #63
                                                                          C
                                                                          K - effect of pressures perception on effort - base scenario (dmnl)
                                                                          = 1
                                                                          Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #64
                                                                          C
                                                                          K - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                          = 1
                                                                          Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                          Present In 1 View:
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                                                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #65
                                                                          C
                                                                          lifestyle socio-technical regime effect (Attractiveness units/dmnl )
                                                                          = 0.01
                                                                          Description: This variable corresponds to the rr constant in Arthur's lock-in model (Arthur, 1989; Safarzyńska et al., 2012 – thoroughly explained in the "attractiveness of low affluence lifestyle" variable) that computes the network effect on preferences. In this context, the network effect consists of sociological forces (i.e., the more a lifestyle is adopted, the more socially acceptable and institutionalized it becomes) and technical forces (i.e., the more widespread a lifestyle is, the more the technical landscape adapts to suit its needs). Its value has been set to 0.015 based on an educated guess. It must be greater than 0, as we know that such an effect exists. We assumed it to be 0.015 so that if 100% of the population embraces a lifestyle, its attractiveness increases by 1.5, which is within a reasonable range considering that the intrinsic attractiveness of the current high-affluence lifestyle starts at a base value of 1.
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                                                                          • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                          • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #66
                                                                          C
                                                                          M - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
                                                                          = 1.2
                                                                          Description: Parameter M in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). Although there is uncertainty as to whether absolute limits to adaptation exist, current research suggests that such limits exists and may be closer than expected (Berkhout & Dow, 2023; Dow et al., 2013; more on this in the main manuscript). Assuming this to be the case, there is nevertheless very limited knowledge regarding the time required to reach these limits. As a baseline assumption, we propose that once diminishing returns set in, and provided that high levels of investment in adaptation continue, these limits would be reached after 50 years (around 15 years to halve capacity, followed by a more gradual decline towards marginal, near-zero gains). The lower bound of the parameter space is set at 1.17 based on the current model specification and calibration. At this value, the model yields convergence to near-zero gains within approximately 10 years.All calibrations make sure that the diminishing returns occurs after 2025 as of today we don't see evidence of such limitations.
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                                                                          • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #67
                                                                          C
                                                                          M - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                          = 2.75
                                                                          Description: Parameter M in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). It remains uncertain whether absolute limits to technological mitigation exist. Consequently, even if such limits do exist, the rate of diminishing returns per unit of investment is also unknown. In this model, we assume that under sustained investment it would take approximately 75 years to reach an overall reduction of around 80%. This rate is assumed to be slightly slower than the adaptation limit, as adaptation is constrained not only by intellectual and technological factors but also by the physiological limits of the human body in coping with extreme conditions, as discussed in the main manuscript. All calibrations make sure that the diminishing returns occurs after 2025 as of today we don't see evidence of such limitations.Sensitivity analyses, reported in the supplementary materials, indicate that variations in this parameter do not alter the fundamental behavioural modes of the model.Lower value = 1.3, then = 2.75
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                                                                          • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #68
                                                                          A
                                                                          M - effect of pressure perception on adaptation priority (dmnl )
                                                                          = IF THEN ELSE(
                                                                          Time>=2026, M - effect of pressure perception on adaptation priority for sensitivity analysis, M - effect of pressure perception on adaptation priority for sensitivity analysis)
                                                                          Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). Higher values lead to higher allocations to technological mitigation. Although empirical data on the allocation of effort between mitigation and adaptation remain limited, the M parameter of this function has been calibrated under the base scenario (current pathway) so that the variables 'adaptation effort per year' and 'technological mitigation effort per year' are consistent with the available empirical estimates. Further details on this calibration are provided in the relevant model function descriptions.Base case = 1.4; Alternbative value (more Tech Mitigation) = 1.7
                                                                          Present In 1 View: Used By
                                                                          • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #69
                                                                          C
                                                                          M - effect of pressure perception on adaptation priority for sensitivity analysis (dmnl)
                                                                          = 1.4
                                                                          Description: This value should be linked to the 'M - effect of pressure perception on adaptation priority' parameter and used to replace both values in the IF THEN ELSE function, so that sensitivity analyses can be conducted
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • M - effect of pressure perception on adaptation priority Parameter M in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). Higher values lead to higher allocations to technological mitigation. Although empirical data on the allocation of effort between mitigation and adaptation remain limited, the M parameter of this function has been calibrated under the base scenario (current pathway) so that the variables 'adaptation effort per year' and 'technological mitigation effort per year' are consistent with the available empirical estimates. Further details on this calibration are provided in the relevant model function descriptions.Base case = 1.4; Alternbative value (more Tech Mitigation) = 1.7
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #70
                                                                          C
                                                                          M - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                          = 1.4
                                                                          Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022). This value is set to 1.4 so that the lifestyle transition under conditions of sustained and mounting pressure unfolds over approximately 40-60 years, consistent with Schot and Kanger’s (2018) review, which shows that deep socio-technical transitions historically unfold over several decades in the absence of strong external shocks or exceptional policy intervention.
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #71
                                                                          C
                                                                          M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl )
                                                                          = 1.25
                                                                          Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).This parameter produces a steeper response function, representing accelerated societal behaviour under high pressure. By definition, it is lower than the M parameter governing normal behavioural responses. We set this value to 1.25, reflecting a scenario in which sustained pressure triggers substantial lifestyle changes within a few decades, consistent with Sovacool (2016), who shows that socio-technical transitions can occur within one to two decades under favourable conditions.
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #72
                                                                          C
                                                                          M - effect of pressures perception on effort - alternative scenario (dmnl )
                                                                          = 1.01
                                                                          Description: Parameter M in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022). This value delivers a rather steep function as it aims to capture the rapid societla response.
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #73
                                                                          C
                                                                          M - effect of pressures perception on effort - base scenario (dmnl )
                                                                          = 1.5
                                                                          Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #74
                                                                          C
                                                                          M - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                          = 1.1
                                                                          Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #75
                                                                          A
                                                                          mitigation technlogical development per effort (dmnl/$)
                                                                          = IF THEN ELSE(
                                                                          SWT dimishing returns in mitigation technological development per effort=1, dimishing returns in mitigation technological development per effort multiplier* constant returns in mitigation technological development built per effort, constant returns in mitigation technological development built per effort)
                                                                          Description: This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                          Present In 1 View: Used By Feedback Loops: 1 (0.9%) (+) 1  [4,4] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #76
                                                                          L
                                                                          Mitigation technology (dmnl)
                                                                          =
                                                                          mitigation technology development rate dt + 1.0
                                                                          Description: This stock represents the level of mitigation technology developed within the system. It starts at 1, reflecting the technological efficiency level of 1950, and accumulates over time as investments are made to improve mitigation technology. Assuming an evolutionary perspective on technological development, this stock increases only, due to variations in the inflow. Higher values indicate scenarios with greater efficiency. For example,a value of 2 in Mitigation technology equals to have a techological mitigation efficiency (broadly intended) twice of what is was in the 1950s.
                                                                          Present In 1 View: Used By
                                                                          • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                          • mitigation technology implemented We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                                          Feedback Loops: 3 (2.8%) (+) 2  [4,10] (-) 1  [11,11]
                                                                          Environment - Societal Responses Model #77
                                                                          LI,F,A
                                                                          mitigation technology development rate (dmnl/Year)
                                                                          =
                                                                          technological mitigation effort per year* mitigation technlogical development per effort
                                                                          Description: This flow computes the development of technological mitigation over time.
                                                                          Present In 1 View: Used By
                                                                          • Mitigation technology This stock represents the level of mitigation technology developed within the system. It starts at 1, reflecting the technological efficiency level of 1950, and accumulates over time as investments are made to improve mitigation technology. Assuming an evolutionary perspective on technological development, this stock increases only, due to variations in the inflow. Higher values indicate scenarios with greater efficiency. For example,a value of 2 in Mitigation technology equals to have a techological mitigation efficiency (broadly intended) twice of what is was in the 1950s.
                                                                          Feedback Loops: 3 (2.8%) (+) 2  [4,10] (-) 1  [11,11]
                                                                          Environment - Societal Responses Model #78
                                                                          DE,A
                                                                          mitigation technology implemented (dmnl)
                                                                          = DELAY3I(
                                                                          Mitigation technology, time to implement mitigation technology, Mitigation technology)
                                                                          Description: We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
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                                                                          • technology effect Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
                                                                          Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
                                                                          Environment - Societal Responses Model #79
                                                                          C
                                                                          natural sinks degradation curve slope (dmnl/Impact units)
                                                                          = 0.6
                                                                          Description: This value is used to assess the impact and calibrate the steepness of the 'Natural Sinks Degradation due to Cumulative Impacts Multiplier' function.
                                                                          Present In 1 View:
                                                                          Used By
                                                                          • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #80
                                                                          A
                                                                          natural sinks degradation due to cumulative impacts multiplier (dmnl)
                                                                          = MAX(1,EXP((
                                                                          Cumulative impacts- natural sinks degradation due to cumulative impacts threshold)* natural sinks degradation curve slope))
                                                                          Description: Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
                                                                          Present In 1 View: Used By
                                                                          • impacts absorption time This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
                                                                          Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                                                          Environment - Societal Responses Model #81
                                                                          C
                                                                          natural sinks degradation due to cumulative impacts threshold (Impact units)
                                                                          = 1.4
                                                                          Description: The threshold for triggering natural sinks degradation is set to 1.4 for the following reasons. The 'Cumulative Impacts' stock starts at a value of 1, which, according to the calibration, represents approximately 300 ppm CO2 in 1950. By 2020, early signs of potential natural sink deterioration and tipping points have been observed (Lenton et al. 2019). Given that the current CO2 ppm is approximately 420, we used this data to estimate the threshold for sink degradation: 420 ppm/300 ppm=1.4.
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                                                                          Used By
                                                                          • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                          Environment - Societal Responses Model #82
                                                                          A
                                                                          perceived pressures - Cumulative impacts gap (Impact units)
                                                                          =
                                                                          Cumulative impacts-( pressure to respond (perceived pressures)* pressures to impact units converter)
                                                                          Description: Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                          Present In 1 View: Used By
                                                                            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                            Environment - Societal Responses Model #83
                                                                            A
                                                                            perceived pressures - socio-environmental consequences gap (Impact units)
                                                                            =
                                                                            socio-environmental consequences-( pressure to respond (perceived pressures)* pressures to impact units converter)
                                                                            Description: Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                            Present In 1 View: Used By
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #84
                                                                              C
                                                                              perception delay (Year)
                                                                              = 20
                                                                              Description: It is assumed that it takes 20 years for 'Cumulative Impacts' to generate tangible consequences for the human population.
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                                                                              Used By
                                                                              • socio-environmental consequences After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #85
                                                                              C
                                                                              population 1950 (People)
                                                                              = 8.98867e+08
                                                                              Description: Global North population in 1950. To calculate the Global North population, considering the countries listed here https:/worldpopulationreview.com/country-rankings/global-north-countries. The national population is taken from the United Nations https:/population.un.org/wpp/ (accessed 16/02/2026) (Total Population, as of 1 January)
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #86
                                                                              L
                                                                              Population with high-affluence lifestyle (dmnl)
                                                                              =
                                                                              transition back to high-affluence lifestyle- transition to low-affluence lifestyle dt + initial Population with high-affluence lifestyle
                                                                              Description: Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                              Present In 1 View: Used By
                                                                              • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                              • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                              • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                              • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                              • total population The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
                                                                              Feedback Loops: 82 (77.4%) (+) 40  [2,15] (-) 42  [2,15]
                                                                              Environment - Societal Responses Model #87
                                                                              L
                                                                              Population with low-affluence lifestyle (dmnl)
                                                                              =
                                                                              transition to low-affluence lifestyle- transition back to high-affluence lifestyle dt + initial Population with low-affluence lifestyle
                                                                              Description: Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                              Present In 1 View: Used By
                                                                              • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
                                                                              • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                              • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                              • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                              • total population The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
                                                                              Feedback Loops: 82 (77.4%) (+) 39  [2,15] (-) 43  [2,15]
                                                                              Environment - Societal Responses Model #88
                                                                              A
                                                                              pressure to respond (perceived pressures) (dmnl)
                                                                              = (
                                                                              socio-environmental consequences/ adaptation implemented)/ pressures tolerance threshold
                                                                              Description: The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                                                              Present In 1 View: Used By
                                                                              • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                              • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                              • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                              • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
                                                                              • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                              • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                              • forced behavioural change trigger If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
                                                                              Feedback Loops: 67 (63.2%) (+) 32  [9,15] (-) 35  [6,15]
                                                                              Environment - Societal Responses Model #89
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                                                                              pressures to impact units converter (Impact units)
                                                                              = 1
                                                                              Description: 'perceived pressures' are dimensionless (dmnl). However, their relationship to impact units is scaled to be 1:1. This aids in translating the variable's meaning and anchoring it to tangible values and realities.
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                                                                              • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                              • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #90
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                                                                              pressures tolerance threshold (dmnl)
                                                                              = 1
                                                                              Description: The ‘pressures tolerance threshold’ represents the minimum level of discomfort (in impact units) that the ‘perceived cumulative impacts’ need to cause before people start paying attention to them. If ‘perceived cumulative impacts’ are low (e.g., minor increases in average temperature, slight decreases in average rainfall per season, or small increases in the number of extreme weather events) and do not exceed the tolerance threshold, people are unlikely even to recognise (and so respond) to them. The higher the ‘pressures tolerance threshold’, the more delayed any response will be to reduce the pressure.The value is set to 1. This is because the normal geological level of CO2 is at 0.9 impact units (270 ppm CO2) in our model. Therefore, the first perception of environmental change occurs when people perceive the consequences of CO2 levels reaching 300 ppm.Additionally, we assume that the perception threshold is constant over time. While this assumption seems plausible, the recent Covid-19 pandemic showed that societal risk thresholds can change over time as fatigue with precautions increases, making people more willing to take risks (Rahmandad & Sterman, 2022). This indicates room for further exploration, as the population could raise their tolerance threshold if subjected to prolonged pressures and called to follow strict and unpopular rules.
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                                                                              • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #91
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                                                                              Q - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                              = 1
                                                                              Description: Parameter Q in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                              • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #92
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                                                                              Q - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                              = 1
                                                                              Description: Parameter Q in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                              • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #93
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                                                                              Q - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                              = 1
                                                                              Description: Parameter Q in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                              • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #94
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                                                                              Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                              = 1
                                                                              Description: Parameter Q in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                              • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #95
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                                                                              Q - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                              = 1
                                                                              Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                              • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #96
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                                                                              reference attractiveness low-affluence lifestyle (Attractiveness units )
                                                                              = 0.25
                                                                              Description: This variable represents the intrinsic attractiveness and utility of the new low-affluence lifestyle, capturing how inherently desirable it is to people, aside from any additional socio-technical benefits effect. It is set to 0.25 as the baseline starting value to capture that the low-affluence lifestyle is significantly less appealing at the moment than the current high-impact one.
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                                                                              • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #97
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                                                                              reference attractivness high-affluence lifestyle (Attractiveness units )
                                                                              = 1
                                                                              Description: This variable represents the intrinsic attractiveness and utility of the old high-affluence lifestyle, capturing how inherently desirable it is to people, aside from any additional socio-technical benefits effect. It is set to 1 as the baseline starting value to serve as a reference point, representing the attractiveness of the current lifestyle.
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                                                                              • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #98
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                                                                              reference impacts absorption time (Year)
                                                                              = 20
                                                                              Description: The average time that additional cumulative impacts (exceeding the 'cumulative impacts balance') stay in the 'Cumulative Impact' stock is assumed to be 20 years. This value is an educated guess based on the varying absorption times of different pollutants and greenhouse gases (e.g., Methane 11.8 years, Nitrous Oxide 109 years, fluorinated gases ranging from a few weeks to thousands of years). For example, "carbon dioxide’s lifetime cannot be represented with a single value because the gas is not destroyed over time, but instead moves among different parts of the ocean/atmosphere/land system. Some of the excess carbon dioxide is absorbed quickly (for example, by the ocean surface), but some will remain in the atmosphere for thousands of years, due in part to the very slow process by which carbon is transferred to ocean sediments." Considering this range of absorption times, we made the educated guess that 20 years is a reasonable value that captures the diversity of absorption rates and aligns well with the conceptual needs of the model.https:/www.epa.gov/climate-indicators/greenhouse-gases
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                                                                              • impacts absorption time This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #99
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                                                                              reference technology (dmnl)
                                                                              = 1
                                                                              Description: This variable represents the mitigation technology starting point. As the stock of 'Mitigation technology' is initialised at 1, this variable assumes the value of 1.
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                                                                              • technology effect Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #100
                                                                              A
                                                                              relative attractiveness of high-afflluence lifestyle (1)
                                                                              =
                                                                              attractiveness of high-affluence lifestyle/ total attractiveness of all lifestyle
                                                                              Description: A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
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                                                                              • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                              Feedback Loops: 57 (53.8%) (+) 28  [4,15] (-) 29  [5,15]
                                                                              Environment - Societal Responses Model #101
                                                                              A
                                                                              relative attractiveness of low-affluence lifestyle (1)
                                                                              =
                                                                              attractiveness of low-affluence lifestyle/ total attractiveness of all lifestyle
                                                                              Description: Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
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                                                                              • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                              Feedback Loops: 39 (36.8%) (+) 19  [4,15] (-) 20  [5,15]
                                                                              Environment - Societal Responses Model #102
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                                                                              resources allocation threshold (dmnl )
                                                                              = 1.05
                                                                              Description: The ‘resources allocation threshold’ represents the minimum level perceived pressures (and so ‘socio-environmental consequences’) need to be before people start mobilising resources. This variable captures the fact that is not automatic to take action even if we perceive a problem. The higher the ‘resources allocation threshold’, the more delayed any response will be to reduce the pressure.The value is set to 1.05, indicating a 5% tolerance in the variation of ‘perceived pressures’ (and so of ‘perceived cumulative impacts’) before resources are mobilised. To translate this If 1 equals 300 ppm CO2, then this means that humanity does act until it perceives the consequences of CO2 levels up to 315 ppm.
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                                                                              • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                              • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #103
                                                                              C
                                                                              rx - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
                                                                              = 1.15921
                                                                              Description: Reference point rx in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #104
                                                                              C
                                                                              rx - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                              = 1
                                                                              Description: Reference point rx in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #105
                                                                              C
                                                                              rx - effect of pressure perception on adaptation priority (dmnl)
                                                                              = 1
                                                                              Description: Parameter rx in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #106
                                                                              C
                                                                              rx - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                              = 1
                                                                              Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #107
                                                                              C
                                                                              rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                              = 1
                                                                              Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #108
                                                                              C
                                                                              rx - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                              = 1
                                                                              Description: Reference point rx in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #109
                                                                              C
                                                                              rx - effect of pressures perception on effort - base scenario (dmnl)
                                                                              = 1
                                                                              Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #110
                                                                              C
                                                                              rx - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                              = 1
                                                                              Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #111
                                                                              C
                                                                              ry - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                              = 0.99
                                                                              Description: Reference point ry in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #112
                                                                              C
                                                                              ry - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                              = 0.99
                                                                              Description: Reference point ry in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #113
                                                                              C
                                                                              ry - effect of pressure perception on adaptation priority (dmnl)
                                                                              = 0.05
                                                                              Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).We are assuming that even with low perceived pressures 5% of the resources will be allocated to adaptation.
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #114
                                                                              C
                                                                              ry - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                              = 0.95
                                                                              Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #115
                                                                              C
                                                                              ry - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                              = 0.01
                                                                              Description: Reference point ry in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #116
                                                                              C
                                                                              ry - effect of pressures perception on effort - base scenario (dmnl)
                                                                              = 0.01
                                                                              Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #117
                                                                              C
                                                                              ry - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                              = 0.95
                                                                              Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                              Present In 1 View:
                                                                              Used By
                                                                              • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #118
                                                                              C
                                                                              ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                              = 0.99
                                                                              Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                              • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #119
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                                                                              simulation start time (Year)
                                                                              = 1950
                                                                              Description: Simulation starting time.
                                                                              Present In 1 View:
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                                                                              • time effect This variable is calculated to represent the passage of time in the simulation, as affluence growth is dependent on time.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #120
                                                                              SM,A
                                                                              socio-environmental consequences (Impact units)
                                                                              = SMOOTH(
                                                                              Cumulative impacts, perception delay)
                                                                              Description: After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
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                                                                              • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                              • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                                                              Feedback Loops: 65 (61.3%) (+) 32  [9,15] (-) 33  [9,15]
                                                                              Environment - Societal Responses Model #121
                                                                              A
                                                                              SWT behavioural mitigation loop (dmnl)
                                                                              = IF THEN ELSE(
                                                                              Time>=2026,1,1)*1+IF THEN ELSE( Time>=2026,1000,1)*0
                                                                              Description: IF THEN ELSE(Time>=2026, 1000 , 1 ) If you want to turn off this feedback loop, you need to set the threshold parameter to a very high value.
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                                                                              • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #122
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                                                                              SWT diminishing returns in adaptation capacity built per effort (dmnl )
                                                                              = 1
                                                                              Description: This switch activates the diminishing returns to adaptation mechanism, allowing the exploration of the limits to adaptation scenarios.
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                                                                              • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #123
                                                                              C
                                                                              SWT dimishing returns in mitigation technological development per effort (dmnl )
                                                                              = 1
                                                                              Description: This switch activates the diminishing returns to technological mitigation mechanism, allowing the exploration of the limits to technological development scenarios.
                                                                              Present In 2 Views:
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                                                                              • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #124
                                                                              C
                                                                              SWT forced behavioural change loop (dmnl)
                                                                              = 1000
                                                                              Description: Switch to activate the forced behavioural change loop. Set it to 1 to activate it. Set it to 1000 to deactivate it.
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                                                                              • forced behavioural change threshold This value captures the threshold at which the perceived environmental disruption becomes so extreme that the high-affluence lifestyle becomes unsustainable. It is set to 1.6. Given that increases of approximately 0.3 impact units correspond to a 1°C variation in the model, this implies that if the population perceives the consequences of a 2°C variation compared to what they are adapted to, the high-affluence lifestyle becomes less attractive. The 2°C threshold is based on the IPCC report (2023, longer report, p. 31; Risk as burning embers figure), where at this level, human risk is considered very high.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #125
                                                                              A
                                                                              SWT rapid behavioural response (dmnl)
                                                                              = IF THEN ELSE(
                                                                              Time>=2026,0,0)
                                                                              Description: Switch to trigger rapid behavioural response in 2026 if activated
                                                                              Present In 1 View: Used By
                                                                              • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #126
                                                                              A
                                                                              SWT to rapid response after perception (dmnl )
                                                                              = IF THEN ELSE(
                                                                              Time>=2026,0,0)
                                                                              Description: Switch to activate the alternative prototypical scenario in which resource allocation is much much more rapid once perceived pressures exceed a certain threshold.
                                                                              Present In 2 Views: Used By
                                                                              • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #127
                                                                              A
                                                                              SWT to static allocation rule (dmnl )
                                                                              = IF THEN ELSE(
                                                                              Time>=2026,0,0)
                                                                              Description: Switch to activate the alternative prototypical scenario in which resource allocation is static.
                                                                              Present In 2 Views: Used By
                                                                              • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #128
                                                                              A
                                                                              technological mitigation effort per year ($/Year)
                                                                              =
                                                                              effort taken against impact per year*(1- effect of pressure to respond on adaptation priority)
                                                                              Description: This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
                                                                              Present In 1 View: Used By Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
                                                                              Environment - Societal Responses Model #129
                                                                              A
                                                                              technology effect (dmnl)
                                                                              =
                                                                              reference technology/ mitigation technology implemented
                                                                              Description: Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
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                                                                              • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                              Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
                                                                              Environment - Societal Responses Model #130
                                                                              A
                                                                              time effect (Year)
                                                                              = (
                                                                              Time- simulation start time)
                                                                              Description: This variable is calculated to represent the passage of time in the simulation, as affluence growth is dependent on time.
                                                                              Present In 1 View: Used By
                                                                              • affluence and population growth Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #131
                                                                              C
                                                                              time to implement adaptation capacity (Year )
                                                                              = 1
                                                                              Description: The implementation of the developed adapatation capacity is not instantaneous and takes some time. However, this period is relatively short, especially when compared to the 'time to implement mitigation technology' (Zhao et al. 2018).
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                                                                              • adaptation implemented We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #132
                                                                              C
                                                                              time to implement mitigation technology (Year)
                                                                              = 15
                                                                              Description: The implementation of developed technological mitigation is not instantaneous and takes time. This period is relatively long, especially when compared to the 'time to implement adaptation technology,' because it takes a long time to broadly implement developed mitigation technologies (Schot et al., 2016; Sovacool, 2016). For this model, we assumed a value of 15 years. This value was chosen based on the famous Limits to Growth model (Meadows et al., 1972), where the time to implement technology was set at 20 years. We chose a slightly shorter period, believing that implementation delays have decreased a bit over time.
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                                                                              • mitigation technology implemented We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                              Environment - Societal Responses Model #133
                                                                              A
                                                                              total actual effort ($/Year)
                                                                              =
                                                                              adaptation effort per year+ technological mitigation effort per year
                                                                              Description: Variable computing the total effort mobilised (adaptation + technological mitigation) in the simulation.
                                                                              Present In 1 View: Used By
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #134
                                                                                A
                                                                                total attractiveness of all lifestyle (Attractiveness units)
                                                                                =
                                                                                attractiveness of low-affluence lifestyle+ attractiveness of high-affluence lifestyle
                                                                                Description: Variable calculating the toal attractivenss of all lifestyles in the system.
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                                                                                • relative attractiveness of high-afflluence lifestyle A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
                                                                                • relative attractiveness of low-affluence lifestyle Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
                                                                                Feedback Loops: 56 (52.8%) (+) 26  [5,15] (-) 30  [5,15]
                                                                                Environment - Societal Responses Model #135
                                                                                A
                                                                                total population (dmnl)
                                                                                =
                                                                                Population with high-affluence lifestyle+ Population with low-affluence lifestyle
                                                                                Description: The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
                                                                                Present In 1 View: Used By
                                                                                • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                Feedback Loops: 32 (30.2%) (+) 16  [3,14] (-) 16  [3,14]
                                                                                Environment - Societal Responses Model #136
                                                                                C
                                                                                total potential effort per year ($/Year)
                                                                                = 1
                                                                                Description: This variable captures the hypothetical total potential effort and resources that humanity can mobilise for adaptation and technological mitigation strategies to tackle climate change. For instance, annual GDP can be used as a proxy for the total potential effort available to the system per year.
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                                                                                Used By
                                                                                • effort taken against impact per year This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #137
                                                                                C
                                                                                transition back innovators fraction (dmnl/Year )
                                                                                = 0.03
                                                                                Description: The empirical average value of the innovators fraction (also known in the literature as p/coefficient of innovation/external influence/ advertising effect) has been found to be 0.03, with a typical range between 0.01 and 0.03 (Mahajan et al., 1995)
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #138
                                                                                LI,F,A
                                                                                transition back to high-affluence lifestyle (dmnl/Year)
                                                                                = (
                                                                                transition back innovators fraction* Population with low-affluence lifestyle+ imitation coefficient transition back* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of high-afflluence lifestyle
                                                                                Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                Present In 1 View: Used By
                                                                                • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                                • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                                Feedback Loops: 85 (80.2%) (+) 41  [2,15] (-) 44  [2,15]
                                                                                Environment - Societal Responses Model #139
                                                                                C
                                                                                transition innovators fraction (dmnl/Year )
                                                                                = 0.03
                                                                                Description: The empirical average value of the innovators fraction (also known in the literature as p/coefficient of innovation/external influence/ advertising effect) has been found to be 0.03, with a typical range between 0.01 and 0.03 (Mahajan et al., 1995)
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #140
                                                                                LI,F,A
                                                                                transition to low-affluence lifestyle (dmnl/Year)
                                                                                = (
                                                                                transition innovators fraction* Population with high-affluence lifestyle+ imitation coefficient transition* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of low-affluence lifestyle
                                                                                Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                Present In 1 View: Used By
                                                                                • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                                • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                                Feedback Loops: 79 (74.5%) (+) 38  [2,15] (-) 41  [2,15]




                                                                                Top (Type) Level (5 Variables)
                                                                                Group
                                                                                Type
                                                                                Variable Name And Description
                                                                                Environment - Societal Responses Model #9
                                                                                L
                                                                                Adaptation capacity (Impact units)
                                                                                =
                                                                                adaptation capacity increase rate dt + 1.0
                                                                                Description: The adaptation efforts accumulate into a stock of Adaptation Capacity, which represents infrastructure and other types of investments around the world that serve to relieve the immediate pressures of climate change. Adaptation capacity is best depicted as a stock because “adaptation can be classified as incremental or developmental. In incremental adaptation, when original facilities and inputs are insufficient to resist a natural disaster, considering the emerging climatic risks, investments are added onto existing communal facilities, and the action is specific for the new additional climatic risk.” (Engle, 2011; Zhao et al., 2018, p. 86). For example, investments to build levees and dams to reduce floods caused by extreme weather events or rising sea levels help alleviate the immediate pressures and threats of floods caused by climate change and can be further raised if needed. Other examples showing the breadth and cumulative nature of adaptation are using more and more nets to protect trees fruit crops against the worsening of extreme hail events (Manja & Aoun, 2019),protecting capital through more and more extensive insurance against climate change (Jørgensen et al., 2020; McLeman & Smit, 2006; Suarez & Linnerooth-Bayer, 2010; Thomas & Leichenko, 2011).
                                                                                Present In 1 View: Used By
                                                                                • adaptation implemented We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                                                • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                                Feedback Loops: 3 (2.8%) (+) 0  [0,0] (-) 3  [4,7]
                                                                                Environment - Societal Responses Model #32
                                                                                L
                                                                                Cumulative impacts (Impact units)
                                                                                =
                                                                                impacts generation- impacts absorption dt + 1.0
                                                                                Description: The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                                                Present In 1 View: Used By
                                                                                • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                                • socio-environmental consequences After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
                                                                                • CO2 ppm The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                                                • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
                                                                                • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
                                                                                Feedback Loops: 67 (63.2%) (+) 32  [9,15] (-) 35  [2,15]
                                                                                Environment - Societal Responses Model #76
                                                                                L
                                                                                Mitigation technology (dmnl)
                                                                                =
                                                                                mitigation technology development rate dt + 1.0
                                                                                Description: This stock represents the level of mitigation technology developed within the system. It starts at 1, reflecting the technological efficiency level of 1950, and accumulates over time as investments are made to improve mitigation technology. Assuming an evolutionary perspective on technological development, this stock increases only, due to variations in the inflow. Higher values indicate scenarios with greater efficiency. For example,a value of 2 in Mitigation technology equals to have a techological mitigation efficiency (broadly intended) twice of what is was in the 1950s.
                                                                                Present In 1 View: Used By
                                                                                • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                                • mitigation technology implemented We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                                                Feedback Loops: 3 (2.8%) (+) 2  [4,10] (-) 1  [11,11]
                                                                                Environment - Societal Responses Model #86
                                                                                L
                                                                                Population with high-affluence lifestyle (dmnl)
                                                                                =
                                                                                transition back to high-affluence lifestyle- transition to low-affluence lifestyle dt + initial Population with high-affluence lifestyle
                                                                                Description: Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                                Present In 1 View: Used By
                                                                                • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                                • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                                • total population The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
                                                                                Feedback Loops: 82 (77.4%) (+) 40  [2,15] (-) 42  [2,15]
                                                                                Environment - Societal Responses Model #87
                                                                                L
                                                                                Population with low-affluence lifestyle (dmnl)
                                                                                =
                                                                                transition to low-affluence lifestyle- transition back to high-affluence lifestyle dt + initial Population with low-affluence lifestyle
                                                                                Description: Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                                Present In 1 View: Used By
                                                                                • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
                                                                                • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                                • total population The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
                                                                                Feedback Loops: 82 (77.4%) (+) 39  [2,15] (-) 43  [2,15]




                                                                                Top (Type) Smooth (2 Variables) (2/10)
                                                                                Group
                                                                                Type
                                                                                Variable Name And Description
                                                                                Environment - Societal Responses Model #13
                                                                                SM,A
                                                                                adaptation implemented (Impact units)
                                                                                = SMOOTH3I(
                                                                                Adaptation capacity, time to implement adaptation capacity, Adaptation capacity)
                                                                                Description: We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
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                                                                                • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                                                                Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [6,7]
                                                                                Environment - Societal Responses Model #120
                                                                                SM,A
                                                                                socio-environmental consequences (Impact units)
                                                                                = SMOOTH(
                                                                                Cumulative impacts, perception delay)
                                                                                Description: After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
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                                                                                • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                                • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                                                                Feedback Loops: 65 (61.3%) (+) 32  [9,15] (-) 33  [9,15]




                                                                                Top (Type) Delay (1 Variables) (1/9)
                                                                                Group
                                                                                Type
                                                                                Variable Name And Description
                                                                                Environment - Societal Responses Model #78
                                                                                DE,A
                                                                                mitigation technology implemented (dmnl)
                                                                                = DELAY3I(
                                                                                Mitigation technology, time to implement mitigation technology, Mitigation technology)
                                                                                Description: We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                                                Present In 1 View: Used By
                                                                                • technology effect Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
                                                                                Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]




                                                                                Top (Type) Level Initial (8 Variables)
                                                                                Group
                                                                                Type
                                                                                Variable Name And Description
                                                                                Environment - Societal Responses Model #11
                                                                                LI,F,A
                                                                                adaptation capacity increase rate (Impact units/Year)
                                                                                =
                                                                                adaptation capacity built per effort* adaptation effort per year
                                                                                Description: This flow computes the development of adaptation capacity over time.
                                                                                Present In 1 View: Used By
                                                                                • Adaptation capacity The adaptation efforts accumulate into a stock of Adaptation Capacity, which represents infrastructure and other types of investments around the world that serve to relieve the immediate pressures of climate change. Adaptation capacity is best depicted as a stock because “adaptation can be classified as incremental or developmental. In incremental adaptation, when original facilities and inputs are insufficient to resist a natural disaster, considering the emerging climatic risks, investments are added onto existing communal facilities, and the action is specific for the new additional climatic risk.” (Engle, 2011; Zhao et al., 2018, p. 86). For example, investments to build levees and dams to reduce floods caused by extreme weather events or rising sea levels help alleviate the immediate pressures and threats of floods caused by climate change and can be further raised if needed. Other examples showing the breadth and cumulative nature of adaptation are using more and more nets to protect trees fruit crops against the worsening of extreme hail events (Manja & Aoun, 2019),protecting capital through more and more extensive insurance against climate change (Jørgensen et al., 2020; McLeman & Smit, 2006; Suarez & Linnerooth-Bayer, 2010; Thomas & Leichenko, 2011).
                                                                                Feedback Loops: 3 (2.8%) (+) 0  [0,0] (-) 3  [4,7]
                                                                                Environment - Societal Responses Model #51
                                                                                LI,F,A
                                                                                impacts absorption (Impact units/Year)
                                                                                = MAX(0,(
                                                                                Cumulative impacts- cumulative impacts target level)/ impacts absorption time)
                                                                                Description: The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
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                                                                                • CO2 absorption The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
                                                                                • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                                                Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [2,4]
                                                                                Environment - Societal Responses Model #53
                                                                                LI,F,A
                                                                                impacts generation (Impact units/Year)
                                                                                = ((
                                                                                Population with high-affluence lifestyle* impact population high affuence lifestyle* technology effect)+( Population with low-affluence lifestyle* impact population low affluence lifestyle* technology effect))
                                                                                Description: The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                                Present In 1 View: Used By
                                                                                • CO2 emissions The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
                                                                                • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                                                Feedback Loops: 65 (61.3%) (+) 32  [9,15] (-) 33  [9,15]
                                                                                Environment - Societal Responses Model #55
                                                                                LI,C
                                                                                initial Population with high-affluence lifestyle (dmnl)
                                                                                = 100
                                                                                Description: Assumed value for the population embracing a high affluence and impact lifestyle at the beginning of the simulation. Given that the simulation starts in 1950 and considering the conceptual nature of the model, we assumed that a high-affluence lifestyle was embraced by the whole population at the start.
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #56
                                                                                LI,C
                                                                                initial Population with low-affluence lifestyle (dmnl)
                                                                                = 0
                                                                                Description: Assumed value for the population embracing a low affluence and low impact lifestyle at the beginning of the simulation. Given that the simulation starts in 1950 and considering the conceptual nature of the model, we assumed that a low-affluence lifestyle was not voluntarily embraced by anyone at the start.
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #77
                                                                                LI,F,A
                                                                                mitigation technology development rate (dmnl/Year)
                                                                                =
                                                                                technological mitigation effort per year* mitigation technlogical development per effort
                                                                                Description: This flow computes the development of technological mitigation over time.
                                                                                Present In 1 View: Used By
                                                                                • Mitigation technology This stock represents the level of mitigation technology developed within the system. It starts at 1, reflecting the technological efficiency level of 1950, and accumulates over time as investments are made to improve mitigation technology. Assuming an evolutionary perspective on technological development, this stock increases only, due to variations in the inflow. Higher values indicate scenarios with greater efficiency. For example,a value of 2 in Mitigation technology equals to have a techological mitigation efficiency (broadly intended) twice of what is was in the 1950s.
                                                                                Feedback Loops: 3 (2.8%) (+) 2  [4,10] (-) 1  [11,11]
                                                                                Environment - Societal Responses Model #138
                                                                                LI,F,A
                                                                                transition back to high-affluence lifestyle (dmnl/Year)
                                                                                = (
                                                                                transition back innovators fraction* Population with low-affluence lifestyle+ imitation coefficient transition back* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of high-afflluence lifestyle
                                                                                Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                Present In 1 View: Used By
                                                                                • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                                • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                                Feedback Loops: 85 (80.2%) (+) 41  [2,15] (-) 44  [2,15]
                                                                                Environment - Societal Responses Model #140
                                                                                LI,F,A
                                                                                transition to low-affluence lifestyle (dmnl/Year)
                                                                                = (
                                                                                transition innovators fraction* Population with high-affluence lifestyle+ imitation coefficient transition* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of low-affluence lifestyle
                                                                                Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                Present In 1 View: Used By
                                                                                • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                                • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                                Feedback Loops: 79 (74.5%) (+) 38  [2,15] (-) 41  [2,15]




                                                                                Top (Type) Initial (0 Variables)
                                                                                Group
                                                                                Type
                                                                                Variable Name And Description




                                                                                Top (Type) Constant (90 Variables)
                                                                                Group
                                                                                Type
                                                                                Variable Name And Description
                                                                                Environment - Societal Responses Model #0
                                                                                C
                                                                                A - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                = 0
                                                                                Description: Parameter A in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). This value expresses the assumption that adaptation capacity developed per unit of investment will ultimately decline to zero once the diminishing-returns threshold is crossed. Consequently, all uncertainty is concentrated in the M parameter, which governs both the rate of diminishing returns and the point in time at which marginal returns effectively reach zero (i.e., the function’s slope).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #1
                                                                                C
                                                                                A - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                = 0
                                                                                Description: Parameter A in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). This value implies that, due to diminishing returns, progress per unit of investment will eventually approach zero as the system nears its limit. The time at which this occurs depends on other model parameters, particularly the slope parameter M. In this way, M captures most of the uncertainty surrounding the shape of the diminishing returns curve, determining the slope of the function and when investment returns become negligible.
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #2
                                                                                C
                                                                                A - effect of pressure perception on adaptation priority (dmnl)
                                                                                = 0.04
                                                                                Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                Used By
                                                                                • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #3
                                                                                C
                                                                                A - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                = 0.05
                                                                                Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).It is set to 0.05 because it captures the fact that even in the context of strong behavioural response there will still be a portion of the population to prefer the high-affluence lifestyle.
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #4
                                                                                C
                                                                                A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                = 0.05
                                                                                Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).This value indicates when the logistic function aims. It is set to 0.05 because it captures the fact that even in the context of strong behavioural response there will still be a portion of the population to prefer the high-affluence lifestyle.
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #5
                                                                                C
                                                                                A - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                = 0
                                                                                Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
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                                                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #6
                                                                                C
                                                                                A - effect of pressures perception on effort - base scenario (dmnl)
                                                                                = 0
                                                                                Description: Parameter A in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #7
                                                                                C
                                                                                A - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                = 0.05
                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).It is set to 0.05 because it captures the fact that even in the context of involuntary transition there will still be a portion of the population able to practice the high-affluence lifestyle.
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                                                                                Used By
                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #15
                                                                                C
                                                                                affluence and population growth multiplier (dmnl/Year)
                                                                                = 0.1
                                                                                Description: Data indicates that CO2 emissions in gigatons were approximately 5.5 in 1950 and 11 in 1960 (Friedlingstein et al., 2023), showing a 10% growth rate during that period. Based on this trend, we assumed a 10% annual growth rate as the reference impacts throughout the entire simulated period in the absence of corrective actions. Because impacts in the model are driven by population and affluence, we assign this 10% annual growth rate to their combined effect. In other words, since impacts in the model depend on population and affluence, we assume that their combined effect grows at this rate in the absence of corrective action.This assumption was made considering that the period from 1950 to 1960 represents an era when there were no significant concerns about affluence growth, making it an ideal untouched period where policies did not affect the growth trends in impacts - capturing what would have been if humanity did not care about the impact issue.This reflects a counterfactual baseline in which no policy or behavioral responses constrain growth.https:/ourworldindata.org/co2-emissionshttps:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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                                                                                • affluence and population growth Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #16
                                                                                C
                                                                                alternative allocation to adaptation fraction (dmnl )
                                                                                = 1
                                                                                Description: This decision rule (ranging from 0 [none] to 1 [all]) determines how much of the resources are allocated to adaptation. The remainder is invested in technological mitigation. This rule is activated and used in prototypical scenarios to explore system behavior under conditions where either adaptation or technological mitigation is dominant. Change to 1 for 100% allocation to adaptation and change to 0 for 100% allocation to tech mitigation
                                                                                Present In 2 Views:
                                                                                Used By
                                                                                • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #19
                                                                                C
                                                                                behavioural mitigation threshold (dmnl )
                                                                                = 1.1
                                                                                Description: Although threat perception and appraisal (‘perceived pressures’) are crucial drivers for triggering, it does not automatically yield the desired long-term behavioural changes, as many additional barriers can hinder it (Beckage et al., 2018; García de Jalón et al., 2015; Lorenzoni et al., 2007), like knowledge, perceived efficacy, or memory, making the behavioural change from a social perspective highly inertial. For example, correct causal attributions may not be straightforward in complex socio-technical systems (Cheng et al., 2017), or people may have difficulty attributing responsibility to a specific behaviour when multiple people interact in a system (Cheng et al., 2017), and actions often do not involve direct consequences but delayed and (often indirect) harm (van de Poel & Nihlén Fahlquist, 2013). Or people may not understand that their constant pursuit of higher affluence is responsible for environmental disruption or are misled by some specific vested interests in not believing so (Grasso, 2020; Lamb et al., 2020; Painter et al., 2023). This mechanism is similar to ‘resources allocation threshold’: it is not automatic to take action once pressures are perceived.For this reason, the 'behavioural change threshold' provides an additional threshold and is set an higher value than the 'pressure tolerance threshold'.Multiple by 1000 if we want to turn this loop off for Rapid Beh Response scenario
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                                                                                • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #20
                                                                                C
                                                                                behavioural mitigation threshold rapid response (dmnl )
                                                                                = 1.05
                                                                                Description: Value at which the rapid behavioural mitigation response is activated (if the 'SWT to rapid response after perception' activated). This parameter is calibrated to match the 'resource allocation threshold' variable, thereby replicating the threshold at which perceived pressures first led to resource mobilisation in the late 1970s and early 1980s, consistent with the First World Climate Conference (1979*). In other words, the behavioural rapid-response regime is triggered when perceived pressures exceed the level required in the late 1970s to initiate the first large-scale allocation of climate-related resources.*Gupta, J. A history of international climate change policy. Wiley Interdiscip. Rev. Clim. Chang. 1, 636-653 (2010).
                                                                                Present In 1 View:
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #21
                                                                                C
                                                                                C - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                = 1
                                                                                Description: Parameter C in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
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                                                                                • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #22
                                                                                C
                                                                                C - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                = 1
                                                                                Description: Parameter C in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #23
                                                                                C
                                                                                C - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                = 1
                                                                                Description: Parameter C in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of old lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #24
                                                                                C
                                                                                C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                = 1
                                                                                Description: Parameter C in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of old lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #25
                                                                                C
                                                                                C - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                = 1
                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #28
                                                                                C
                                                                                CO2 Gt converter (CO2 Gt/Impact units)
                                                                                = 1100
                                                                                Description: Variable to convert the impacts into CO2 gigatonnes (Gt). Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023). This value was selected to ensure the CO2 emission at the start of the simulation matched the 1950 real data (approximately 5.5 Gt of CO2).
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                                                                                • CO2 absorption The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
                                                                                • CO2 emissions The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #30
                                                                                C
                                                                                constant returns in adaptation capacity built per effort (Impact units/$ )
                                                                                = 0.025
                                                                                Description: This variable represents reference amount of adaptation capacity developed per unit of 'adaptation effort per year'.
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                                                                                • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #31
                                                                                C
                                                                                constant returns in mitigation technological development built per effort (dmnl/$ )
                                                                                = 0.09
                                                                                Description: This variable represents reference amount of technological mitigation developed per unit of 'technological effort per year'.
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                                                                                • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #33
                                                                                C
                                                                                cumulative impacts target level (Impact units)
                                                                                = 0.9
                                                                                Description: This value represents the level of 'Cumulative Impacts' that the system naturally tends toward. Given that the 'Cumulative Impacts' stock is initialized at 1, representing 300 ppm CO2 in the atmosphere in 1950, and considering that historically, CO2 levels on the planet have averaged between 250-280 ppm (Friedlingstein et al., 2023), we assumed that the target balance level for CO2 in the atmosphere is approximately 270 ppm. This translates to a normalized value of 0.9 (since 270/300 = 0.9).https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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                                                                                • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #34
                                                                                C
                                                                                cumulative impacts to CO2ppm equivalent (CO2 ppm/Impact units)
                                                                                = 300
                                                                                Description: This variable converts the 'Cumulative Impacts' stock into CO2 ppm. We used the CO2 ppm levels in the atmosphere to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023). The initial value was selected to match the 1950 real data, which was approximately 300 ppm (Friedlingstein et al., 2023; IPCC, 2023). Given that the 'Cumulative Impacts' stock starts at 1 in 1950, this converter is set to 300.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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                                                                                • CO2 ppm The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #45
                                                                                C
                                                                                fractional consumption from high- to low-affluence lifestyle (dmnl)
                                                                                = 0.3
                                                                                Description: We assume a 70% reduction relative to the 2020 high-affluence impact (i.e., a 0.3 multiplier). This value represents the midpoint between the 90% potential reduction suggested by Wiedmann et al. (2020) and the 50% reduction mentioned by Seto et al. (2016).
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                                                                                • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #46
                                                                                C
                                                                                imitation coefficient transition (dmnl/Year)
                                                                                = 0.38
                                                                                Description: The empirical average value of the imitation coefficient (also known in the literature as q/coefficient of imitation/internal influence/word-of-mouth effect) has been found to be 0.38, with a typical range between 0.3 and 0.5. (Mahajan et al., 1995)
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                                                                                • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #47
                                                                                C
                                                                                imitation coefficient transition back (dmnl/Year)
                                                                                = 0.38
                                                                                Description: The empirical average value of the imitation coefficient (also known in the literature as q/coefficient of imitation/internal influence/word-of-mouth effect) has been found to be 0.38, with a typical range between 0.3 and 0.5. (Mahajan et al., 1995)
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                                                                                • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #48
                                                                                C
                                                                                impact population high affluence lifestyle in 2020 (Impact units/Year)
                                                                                = 0.0004
                                                                                Description: Because Wiedmann et al. (2020) derive their estimates of low-affluence lifestyle impacts using 2020 emission levels, we anchor our calibration to the model’s impact value in 2020 (which depends on affluence). This 2020 reference level is then used to compute the impact associated with a low-affluence lifestyle.
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                                                                                • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #54
                                                                                C
                                                                                initial impact high affluence lifestyle per person (Impact units/Year/People)
                                                                                = 5.56256e-14
                                                                                Description: The initial value of 'impact of high-affluence lifestyle' is estimated using the CO2 Gt emissions in 1950 as a reference point, aligning the impacts with the values observed in 1950. Data shows that CO2 Gigatons emissions in 1950 were approx. 5.5. Given this value and the corresponding population in 1950, the per-capita impact of a high-affluence lifestyle is calculated accordingly (dividing 5.5 by the population value). This calibration ensures that the model outputs are consistent with the scenarios outlined in the latest IPCC report (2023).(Friedlingstein et al., 2023) https:/ourworldindata.org/co2-emissionshttps:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
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                                                                                • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #55
                                                                                LI,C
                                                                                initial Population with high-affluence lifestyle (dmnl)
                                                                                = 100
                                                                                Description: Assumed value for the population embracing a high affluence and impact lifestyle at the beginning of the simulation. Given that the simulation starts in 1950 and considering the conceptual nature of the model, we assumed that a high-affluence lifestyle was embraced by the whole population at the start.
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                                                                                • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #56
                                                                                LI,C
                                                                                initial Population with low-affluence lifestyle (dmnl)
                                                                                = 0
                                                                                Description: Assumed value for the population embracing a low affluence and low impact lifestyle at the beginning of the simulation. Given that the simulation starts in 1950 and considering the conceptual nature of the model, we assumed that a low-affluence lifestyle was not voluntarily embraced by anyone at the start.
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                                                                                • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #57
                                                                                C
                                                                                K - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                = 1
                                                                                Description: Parameter K in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #58
                                                                                C
                                                                                K - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                = 1
                                                                                Description: Parameter K in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #59
                                                                                C
                                                                                K - effect of pressure perception on adaptation priority (dmnl)
                                                                                = 0.95
                                                                                Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). We are assuming that even with very extreme perceived pressures 5% of the resources will be allocated to mitigation.
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                                                                                • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #60
                                                                                C
                                                                                K - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                = 1
                                                                                Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #61
                                                                                C
                                                                                K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                = 1
                                                                                Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #62
                                                                                C
                                                                                K - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                = 1
                                                                                Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                                                                Present In 1 View:
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                                                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #63
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                                                                                K - effect of pressures perception on effort - base scenario (dmnl)
                                                                                = 1
                                                                                Description: Parameter K in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #64
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                                                                                K - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                = 1
                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #65
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                                                                                lifestyle socio-technical regime effect (Attractiveness units/dmnl )
                                                                                = 0.01
                                                                                Description: This variable corresponds to the rr constant in Arthur's lock-in model (Arthur, 1989; Safarzyńska et al., 2012 – thoroughly explained in the "attractiveness of low affluence lifestyle" variable) that computes the network effect on preferences. In this context, the network effect consists of sociological forces (i.e., the more a lifestyle is adopted, the more socially acceptable and institutionalized it becomes) and technical forces (i.e., the more widespread a lifestyle is, the more the technical landscape adapts to suit its needs). Its value has been set to 0.015 based on an educated guess. It must be greater than 0, as we know that such an effect exists. We assumed it to be 0.015 so that if 100% of the population embraces a lifestyle, its attractiveness increases by 1.5, which is within a reasonable range considering that the intrinsic attractiveness of the current high-affluence lifestyle starts at a base value of 1.
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                                                                                • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                                • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #66
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                                                                                M - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
                                                                                = 1.2
                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). Although there is uncertainty as to whether absolute limits to adaptation exist, current research suggests that such limits exists and may be closer than expected (Berkhout & Dow, 2023; Dow et al., 2013; more on this in the main manuscript). Assuming this to be the case, there is nevertheless very limited knowledge regarding the time required to reach these limits. As a baseline assumption, we propose that once diminishing returns set in, and provided that high levels of investment in adaptation continue, these limits would be reached after 50 years (around 15 years to halve capacity, followed by a more gradual decline towards marginal, near-zero gains). The lower bound of the parameter space is set at 1.17 based on the current model specification and calibration. At this value, the model yields convergence to near-zero gains within approximately 10 years.All calibrations make sure that the diminishing returns occurs after 2025 as of today we don't see evidence of such limitations.
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                                                                                • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #67
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                                                                                M - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                = 2.75
                                                                                Description: Parameter M in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022). It remains uncertain whether absolute limits to technological mitigation exist. Consequently, even if such limits do exist, the rate of diminishing returns per unit of investment is also unknown. In this model, we assume that under sustained investment it would take approximately 75 years to reach an overall reduction of around 80%. This rate is assumed to be slightly slower than the adaptation limit, as adaptation is constrained not only by intellectual and technological factors but also by the physiological limits of the human body in coping with extreme conditions, as discussed in the main manuscript. All calibrations make sure that the diminishing returns occurs after 2025 as of today we don't see evidence of such limitations.Sensitivity analyses, reported in the supplementary materials, indicate that variations in this parameter do not alter the fundamental behavioural modes of the model.Lower value = 1.3, then = 2.75
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                                                                                • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #69
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                                                                                M - effect of pressure perception on adaptation priority for sensitivity analysis (dmnl)
                                                                                = 1.4
                                                                                Description: This value should be linked to the 'M - effect of pressure perception on adaptation priority' parameter and used to replace both values in the IF THEN ELSE function, so that sensitivity analyses can be conducted
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                                                                                • M - effect of pressure perception on adaptation priority Parameter M in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). Higher values lead to higher allocations to technological mitigation. Although empirical data on the allocation of effort between mitigation and adaptation remain limited, the M parameter of this function has been calibrated under the base scenario (current pathway) so that the variables 'adaptation effort per year' and 'technological mitigation effort per year' are consistent with the available empirical estimates. Further details on this calibration are provided in the relevant model function descriptions.Base case = 1.4; Alternbative value (more Tech Mitigation) = 1.7
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                                                                                Environment - Societal Responses Model #70
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                                                                                M - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                = 1.4
                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022). This value is set to 1.4 so that the lifestyle transition under conditions of sustained and mounting pressure unfolds over approximately 40-60 years, consistent with Schot and Kanger’s (2018) review, which shows that deep socio-technical transitions historically unfold over several decades in the absence of strong external shocks or exceptional policy intervention.
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #71
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                                                                                M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl )
                                                                                = 1.25
                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).This parameter produces a steeper response function, representing accelerated societal behaviour under high pressure. By definition, it is lower than the M parameter governing normal behavioural responses. We set this value to 1.25, reflecting a scenario in which sustained pressure triggers substantial lifestyle changes within a few decades, consistent with Sovacool (2016), who shows that socio-technical transitions can occur within one to two decades under favourable conditions.
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #72
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                                                                                M - effect of pressures perception on effort - alternative scenario (dmnl )
                                                                                = 1.01
                                                                                Description: Parameter M in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022). This value delivers a rather steep function as it aims to capture the rapid societla response.
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                                                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #73
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                                                                                M - effect of pressures perception on effort - base scenario (dmnl )
                                                                                = 1.5
                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022)
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #74
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                                                                                M - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                = 1.1
                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #79
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                                                                                natural sinks degradation curve slope (dmnl/Impact units)
                                                                                = 0.6
                                                                                Description: This value is used to assess the impact and calibrate the steepness of the 'Natural Sinks Degradation due to Cumulative Impacts Multiplier' function.
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                                                                                • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #81
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                                                                                natural sinks degradation due to cumulative impacts threshold (Impact units)
                                                                                = 1.4
                                                                                Description: The threshold for triggering natural sinks degradation is set to 1.4 for the following reasons. The 'Cumulative Impacts' stock starts at a value of 1, which, according to the calibration, represents approximately 300 ppm CO2 in 1950. By 2020, early signs of potential natural sink deterioration and tipping points have been observed (Lenton et al. 2019). Given that the current CO2 ppm is approximately 420, we used this data to estimate the threshold for sink degradation: 420 ppm/300 ppm=1.4.
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                                                                                • natural sinks degradation due to cumulative impacts multiplier Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #84
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                                                                                perception delay (Year)
                                                                                = 20
                                                                                Description: It is assumed that it takes 20 years for 'Cumulative Impacts' to generate tangible consequences for the human population.
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                                                                                • socio-environmental consequences After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
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                                                                                Environment - Societal Responses Model #85
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                                                                                population 1950 (People)
                                                                                = 8.98867e+08
                                                                                Description: Global North population in 1950. To calculate the Global North population, considering the countries listed here https:/worldpopulationreview.com/country-rankings/global-north-countries. The national population is taken from the United Nations https:/population.un.org/wpp/ (accessed 16/02/2026) (Total Population, as of 1 January)
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                                                                                • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
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                                                                                Environment - Societal Responses Model #89
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                                                                                pressures to impact units converter (Impact units)
                                                                                = 1
                                                                                Description: 'perceived pressures' are dimensionless (dmnl). However, their relationship to impact units is scaled to be 1:1. This aids in translating the variable's meaning and anchoring it to tangible values and realities.
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                                                                                • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                                • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
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                                                                                Environment - Societal Responses Model #90
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                                                                                pressures tolerance threshold (dmnl)
                                                                                = 1
                                                                                Description: The ‘pressures tolerance threshold’ represents the minimum level of discomfort (in impact units) that the ‘perceived cumulative impacts’ need to cause before people start paying attention to them. If ‘perceived cumulative impacts’ are low (e.g., minor increases in average temperature, slight decreases in average rainfall per season, or small increases in the number of extreme weather events) and do not exceed the tolerance threshold, people are unlikely even to recognise (and so respond) to them. The higher the ‘pressures tolerance threshold’, the more delayed any response will be to reduce the pressure.The value is set to 1. This is because the normal geological level of CO2 is at 0.9 impact units (270 ppm CO2) in our model. Therefore, the first perception of environmental change occurs when people perceive the consequences of CO2 levels reaching 300 ppm.Additionally, we assume that the perception threshold is constant over time. While this assumption seems plausible, the recent Covid-19 pandemic showed that societal risk thresholds can change over time as fatigue with precautions increases, making people more willing to take risks (Rahmandad & Sterman, 2022). This indicates room for further exploration, as the population could raise their tolerance threshold if subjected to prolonged pressures and called to follow strict and unpopular rules.
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                                                                                • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
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                                                                                Environment - Societal Responses Model #91
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                                                                                Q - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                = 1
                                                                                Description: Parameter Q in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
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                                                                                Environment - Societal Responses Model #92
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                                                                                Q - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                = 1
                                                                                Description: Parameter Q in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
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                                                                                Environment - Societal Responses Model #93
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                                                                                Q - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                = 1
                                                                                Description: Parameter Q in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
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                                                                                Environment - Societal Responses Model #94
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                                                                                Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                = 1
                                                                                Description: Parameter Q in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
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                                                                                Environment - Societal Responses Model #95
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                                                                                Q - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                = 1
                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
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                                                                                Environment - Societal Responses Model #96
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                                                                                reference attractiveness low-affluence lifestyle (Attractiveness units )
                                                                                = 0.25
                                                                                Description: This variable represents the intrinsic attractiveness and utility of the new low-affluence lifestyle, capturing how inherently desirable it is to people, aside from any additional socio-technical benefits effect. It is set to 0.25 as the baseline starting value to capture that the low-affluence lifestyle is significantly less appealing at the moment than the current high-impact one.
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                                                                                • attractiveness of low-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
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                                                                                Environment - Societal Responses Model #97
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                                                                                reference attractivness high-affluence lifestyle (Attractiveness units )
                                                                                = 1
                                                                                Description: This variable represents the intrinsic attractiveness and utility of the old high-affluence lifestyle, capturing how inherently desirable it is to people, aside from any additional socio-technical benefits effect. It is set to 1 as the baseline starting value to serve as a reference point, representing the attractiveness of the current lifestyle.
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                                                                                • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
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                                                                                Environment - Societal Responses Model #98
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                                                                                reference impacts absorption time (Year)
                                                                                = 20
                                                                                Description: The average time that additional cumulative impacts (exceeding the 'cumulative impacts balance') stay in the 'Cumulative Impact' stock is assumed to be 20 years. This value is an educated guess based on the varying absorption times of different pollutants and greenhouse gases (e.g., Methane 11.8 years, Nitrous Oxide 109 years, fluorinated gases ranging from a few weeks to thousands of years). For example, "carbon dioxide’s lifetime cannot be represented with a single value because the gas is not destroyed over time, but instead moves among different parts of the ocean/atmosphere/land system. Some of the excess carbon dioxide is absorbed quickly (for example, by the ocean surface), but some will remain in the atmosphere for thousands of years, due in part to the very slow process by which carbon is transferred to ocean sediments." Considering this range of absorption times, we made the educated guess that 20 years is a reasonable value that captures the diversity of absorption rates and aligns well with the conceptual needs of the model.https:/www.epa.gov/climate-indicators/greenhouse-gases
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                                                                                • impacts absorption time This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
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                                                                                Environment - Societal Responses Model #99
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                                                                                reference technology (dmnl)
                                                                                = 1
                                                                                Description: This variable represents the mitigation technology starting point. As the stock of 'Mitigation technology' is initialised at 1, this variable assumes the value of 1.
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                                                                                • technology effect Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
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                                                                                Environment - Societal Responses Model #102
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                                                                                resources allocation threshold (dmnl )
                                                                                = 1.05
                                                                                Description: The ‘resources allocation threshold’ represents the minimum level perceived pressures (and so ‘socio-environmental consequences’) need to be before people start mobilising resources. This variable captures the fact that is not automatic to take action even if we perceive a problem. The higher the ‘resources allocation threshold’, the more delayed any response will be to reduce the pressure.The value is set to 1.05, indicating a 5% tolerance in the variation of ‘perceived pressures’ (and so of ‘perceived cumulative impacts’) before resources are mobilised. To translate this If 1 equals 300 ppm CO2, then this means that humanity does act until it perceives the consequences of CO2 levels up to 315 ppm.
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                                                                                • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
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                                                                                Environment - Societal Responses Model #103
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                                                                                rx - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
                                                                                = 1.15921
                                                                                Description: Reference point rx in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
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                                                                                Environment - Societal Responses Model #104
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                                                                                rx - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                = 1
                                                                                Description: Reference point rx in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
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                                                                                • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
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                                                                                Environment - Societal Responses Model #105
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                                                                                rx - effect of pressure perception on adaptation priority (dmnl)
                                                                                = 1
                                                                                Description: Parameter rx in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #106
                                                                                C
                                                                                rx - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                = 1
                                                                                Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #107
                                                                                C
                                                                                rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                = 1
                                                                                Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #108
                                                                                C
                                                                                rx - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                = 1
                                                                                Description: Reference point rx in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #109
                                                                                C
                                                                                rx - effect of pressures perception on effort - base scenario (dmnl)
                                                                                = 1
                                                                                Description: Reference point rx in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #110
                                                                                C
                                                                                rx - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                = 1
                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #111
                                                                                C
                                                                                ry - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                = 0.99
                                                                                Description: Reference point ry in the logistic function computed for the base scenario in ‘diminishing returns in adaptation capacity built per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • diminishing returns in adaptation capacity built per effort multiplier This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #112
                                                                                C
                                                                                ry - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                = 0.99
                                                                                Description: Reference point ry in the logistic function computed in ‘dimishing returns in mitigation technological development per effort multiplier’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • dimishing returns in mitigation technological development per effort multiplier This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #113
                                                                                C
                                                                                ry - effect of pressure perception on adaptation priority (dmnl)
                                                                                = 0.05
                                                                                Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022).We are assuming that even with low perceived pressures 5% of the resources will be allocated to adaptation.
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #114
                                                                                C
                                                                                ry - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                = 0.95
                                                                                Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #115
                                                                                C
                                                                                ry - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                = 0.01
                                                                                Description: Reference point ry in the logistic function computed for the alternative scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #116
                                                                                C
                                                                                ry - effect of pressures perception on effort - base scenario (dmnl)
                                                                                = 0.01
                                                                                Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on effort’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #117
                                                                                C
                                                                                ry - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                = 0.95
                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #118
                                                                                C
                                                                                ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                = 0.99
                                                                                Description: Reference point ry in the logistic function computed for the base scenario in ‘effect of pressures perception on attractivenss of high affluence lifestyle’. For more details see Ríos‐Ocampo & Gary (2022).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #119
                                                                                C
                                                                                simulation start time (Year)
                                                                                = 1950
                                                                                Description: Simulation starting time.
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • time effect This variable is calculated to represent the passage of time in the simulation, as affluence growth is dependent on time.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #122
                                                                                C
                                                                                SWT diminishing returns in adaptation capacity built per effort (dmnl )
                                                                                = 1
                                                                                Description: This switch activates the diminishing returns to adaptation mechanism, allowing the exploration of the limits to adaptation scenarios.
                                                                                Present In 2 Views:
                                                                                Used By
                                                                                • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #123
                                                                                C
                                                                                SWT dimishing returns in mitigation technological development per effort (dmnl )
                                                                                = 1
                                                                                Description: This switch activates the diminishing returns to technological mitigation mechanism, allowing the exploration of the limits to technological development scenarios.
                                                                                Present In 2 Views:
                                                                                Used By
                                                                                • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #124
                                                                                C
                                                                                SWT forced behavioural change loop (dmnl)
                                                                                = 1000
                                                                                Description: Switch to activate the forced behavioural change loop. Set it to 1 to activate it. Set it to 1000 to deactivate it.
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • forced behavioural change threshold This value captures the threshold at which the perceived environmental disruption becomes so extreme that the high-affluence lifestyle becomes unsustainable. It is set to 1.6. Given that increases of approximately 0.3 impact units correspond to a 1°C variation in the model, this implies that if the population perceives the consequences of a 2°C variation compared to what they are adapted to, the high-affluence lifestyle becomes less attractive. The 2°C threshold is based on the IPCC report (2023, longer report, p. 31; Risk as burning embers figure), where at this level, human risk is considered very high.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #131
                                                                                C
                                                                                time to implement adaptation capacity (Year )
                                                                                = 1
                                                                                Description: The implementation of the developed adapatation capacity is not instantaneous and takes some time. However, this period is relatively short, especially when compared to the 'time to implement mitigation technology' (Zhao et al. 2018).
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • adaptation implemented We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #132
                                                                                C
                                                                                time to implement mitigation technology (Year)
                                                                                = 15
                                                                                Description: The implementation of developed technological mitigation is not instantaneous and takes time. This period is relatively long, especially when compared to the 'time to implement adaptation technology,' because it takes a long time to broadly implement developed mitigation technologies (Schot et al., 2016; Sovacool, 2016). For this model, we assumed a value of 15 years. This value was chosen based on the famous Limits to Growth model (Meadows et al., 1972), where the time to implement technology was set at 20 years. We chose a slightly shorter period, believing that implementation delays have decreased a bit over time.
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • mitigation technology implemented We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #136
                                                                                C
                                                                                total potential effort per year ($/Year)
                                                                                = 1
                                                                                Description: This variable captures the hypothetical total potential effort and resources that humanity can mobilise for adaptation and technological mitigation strategies to tackle climate change. For instance, annual GDP can be used as a proxy for the total potential effort available to the system per year.
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • effort taken against impact per year This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #137
                                                                                C
                                                                                transition back innovators fraction (dmnl/Year )
                                                                                = 0.03
                                                                                Description: The empirical average value of the innovators fraction (also known in the literature as p/coefficient of innovation/external influence/ advertising effect) has been found to be 0.03, with a typical range between 0.01 and 0.03 (Mahajan et al., 1995)
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                Environment - Societal Responses Model #139
                                                                                C
                                                                                transition innovators fraction (dmnl/Year )
                                                                                = 0.03
                                                                                Description: The empirical average value of the innovators fraction (also known in the literature as p/coefficient of innovation/external influence/ advertising effect) has been found to be 0.03, with a typical range between 0.01 and 0.03 (Mahajan et al., 1995)
                                                                                Present In 1 View:
                                                                                Used By
                                                                                • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                .Control #141
                                                                                C
                                                                                FINAL TIME (Year)
                                                                                = 2100
                                                                                Description: The final time for the simulation.
                                                                                Present In 0 Views:
                                                                                  Used By
                                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                    .Control #142
                                                                                    C
                                                                                    INITIAL TIME (Year)
                                                                                    = 1950
                                                                                    Description: The initial time for the simulation.
                                                                                    Present In 0 Views:
                                                                                      Used By
                                                                                        Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                        .Control #146
                                                                                        C
                                                                                        TIME STEP (Year )
                                                                                        = 0.25
                                                                                        Description: The time step for the simulation.
                                                                                        Present In 0 Views:
                                                                                          Used By
                                                                                          • SAVEPER The frequency with which output is stored.
                                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]




                                                                                          Top (Type) Flow (6 Variables)
                                                                                          Group
                                                                                          Type
                                                                                          Variable Name And Description
                                                                                          Environment - Societal Responses Model #11
                                                                                          LI,F,A
                                                                                          adaptation capacity increase rate (Impact units/Year)
                                                                                          =
                                                                                          adaptation capacity built per effort* adaptation effort per year
                                                                                          Description: This flow computes the development of adaptation capacity over time.
                                                                                          Present In 1 View: Used By
                                                                                          • Adaptation capacity The adaptation efforts accumulate into a stock of Adaptation Capacity, which represents infrastructure and other types of investments around the world that serve to relieve the immediate pressures of climate change. Adaptation capacity is best depicted as a stock because “adaptation can be classified as incremental or developmental. In incremental adaptation, when original facilities and inputs are insufficient to resist a natural disaster, considering the emerging climatic risks, investments are added onto existing communal facilities, and the action is specific for the new additional climatic risk.” (Engle, 2011; Zhao et al., 2018, p. 86). For example, investments to build levees and dams to reduce floods caused by extreme weather events or rising sea levels help alleviate the immediate pressures and threats of floods caused by climate change and can be further raised if needed. Other examples showing the breadth and cumulative nature of adaptation are using more and more nets to protect trees fruit crops against the worsening of extreme hail events (Manja & Aoun, 2019),protecting capital through more and more extensive insurance against climate change (Jørgensen et al., 2020; McLeman & Smit, 2006; Suarez & Linnerooth-Bayer, 2010; Thomas & Leichenko, 2011).
                                                                                          Feedback Loops: 3 (2.8%) (+) 0  [0,0] (-) 3  [4,7]
                                                                                          Environment - Societal Responses Model #51
                                                                                          LI,F,A
                                                                                          impacts absorption (Impact units/Year)
                                                                                          = MAX(0,(
                                                                                          Cumulative impacts- cumulative impacts target level)/ impacts absorption time)
                                                                                          Description: The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
                                                                                          Present In 1 View: Used By
                                                                                          • CO2 absorption The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
                                                                                          • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                                                          Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [2,4]
                                                                                          Environment - Societal Responses Model #53
                                                                                          LI,F,A
                                                                                          impacts generation (Impact units/Year)
                                                                                          = ((
                                                                                          Population with high-affluence lifestyle* impact population high affuence lifestyle* technology effect)+( Population with low-affluence lifestyle* impact population low affluence lifestyle* technology effect))
                                                                                          Description: The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                                          Present In 1 View: Used By
                                                                                          • CO2 emissions The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
                                                                                          • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                                                          Feedback Loops: 65 (61.3%) (+) 32  [9,15] (-) 33  [9,15]
                                                                                          Environment - Societal Responses Model #77
                                                                                          LI,F,A
                                                                                          mitigation technology development rate (dmnl/Year)
                                                                                          =
                                                                                          technological mitigation effort per year* mitigation technlogical development per effort
                                                                                          Description: This flow computes the development of technological mitigation over time.
                                                                                          Present In 1 View: Used By
                                                                                          • Mitigation technology This stock represents the level of mitigation technology developed within the system. It starts at 1, reflecting the technological efficiency level of 1950, and accumulates over time as investments are made to improve mitigation technology. Assuming an evolutionary perspective on technological development, this stock increases only, due to variations in the inflow. Higher values indicate scenarios with greater efficiency. For example,a value of 2 in Mitigation technology equals to have a techological mitigation efficiency (broadly intended) twice of what is was in the 1950s.
                                                                                          Feedback Loops: 3 (2.8%) (+) 2  [4,10] (-) 1  [11,11]
                                                                                          Environment - Societal Responses Model #138
                                                                                          LI,F,A
                                                                                          transition back to high-affluence lifestyle (dmnl/Year)
                                                                                          = (
                                                                                          transition back innovators fraction* Population with low-affluence lifestyle+ imitation coefficient transition back* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of high-afflluence lifestyle
                                                                                          Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                          Present In 1 View: Used By
                                                                                          • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                                          • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                                          Feedback Loops: 85 (80.2%) (+) 41  [2,15] (-) 44  [2,15]
                                                                                          Environment - Societal Responses Model #140
                                                                                          LI,F,A
                                                                                          transition to low-affluence lifestyle (dmnl/Year)
                                                                                          = (
                                                                                          transition innovators fraction* Population with high-affluence lifestyle+ imitation coefficient transition* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of low-affluence lifestyle
                                                                                          Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                          Present In 1 View: Used By
                                                                                          • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                                          • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                                          Feedback Loops: 79 (74.5%) (+) 38  [2,15] (-) 41  [2,15]




                                                                                          Top (Type) Auxiliary (50 Variables)
                                                                                          Group
                                                                                          Type
                                                                                          Variable Name And Description
                                                                                          Environment - Societal Responses Model #8
                                                                                          A
                                                                                          action trigger for behavioural mitigation (dmnl)
                                                                                          =
                                                                                          pressure to respond (perceived pressures)/( behavioural mitigation threshold* SWT behavioural mitigation loop)
                                                                                          Description: An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
                                                                                          Present In 1 View: Used By
                                                                                          • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                                          Feedback Loops: 21 (19.8%) (+) 11  [10,15] (-) 10  [10,14]
                                                                                          Environment - Societal Responses Model #10
                                                                                          A
                                                                                          adaptation capacity built per effort (Impact units/$)
                                                                                          = IF THEN ELSE(
                                                                                          SWT diminishing returns in adaptation capacity built per effort=1, diminishing returns in adaptation capacity built per effort multiplier* constant returns in adaptation capacity built per effort, constant returns in adaptation capacity built per effort)
                                                                                          Description: This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                                          Present In 1 View: Used By Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                                                                          Environment - Societal Responses Model #11
                                                                                          LI,F,A
                                                                                          adaptation capacity increase rate (Impact units/Year)
                                                                                          =
                                                                                          adaptation capacity built per effort* adaptation effort per year
                                                                                          Description: This flow computes the development of adaptation capacity over time.
                                                                                          Present In 1 View: Used By
                                                                                          • Adaptation capacity The adaptation efforts accumulate into a stock of Adaptation Capacity, which represents infrastructure and other types of investments around the world that serve to relieve the immediate pressures of climate change. Adaptation capacity is best depicted as a stock because “adaptation can be classified as incremental or developmental. In incremental adaptation, when original facilities and inputs are insufficient to resist a natural disaster, considering the emerging climatic risks, investments are added onto existing communal facilities, and the action is specific for the new additional climatic risk.” (Engle, 2011; Zhao et al., 2018, p. 86). For example, investments to build levees and dams to reduce floods caused by extreme weather events or rising sea levels help alleviate the immediate pressures and threats of floods caused by climate change and can be further raised if needed. Other examples showing the breadth and cumulative nature of adaptation are using more and more nets to protect trees fruit crops against the worsening of extreme hail events (Manja & Aoun, 2019),protecting capital through more and more extensive insurance against climate change (Jørgensen et al., 2020; McLeman & Smit, 2006; Suarez & Linnerooth-Bayer, 2010; Thomas & Leichenko, 2011).
                                                                                          Feedback Loops: 3 (2.8%) (+) 0  [0,0] (-) 3  [4,7]
                                                                                          Environment - Societal Responses Model #12
                                                                                          A
                                                                                          adaptation effort per year ($/Year)
                                                                                          =
                                                                                          effort taken against impact per year* effect of pressure to respond on adaptation priority
                                                                                          Description: This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
                                                                                          Present In 1 View: Used By Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [6,7]
                                                                                          Environment - Societal Responses Model #13
                                                                                          SM,A
                                                                                          adaptation implemented (Impact units)
                                                                                          = SMOOTH3I(
                                                                                          Adaptation capacity, time to implement adaptation capacity, Adaptation capacity)
                                                                                          Description: We assumed that the implementation of the developed adaptation capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                                                          Present In 1 View: Used By
                                                                                          • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                                                                          Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [6,7]
                                                                                          Environment - Societal Responses Model #14
                                                                                          A
                                                                                          affluence and population growth (dmnl)
                                                                                          = 1+(
                                                                                          time effect* affluence and population growth multiplier)
                                                                                          Description: Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
                                                                                          Present In 1 View: Used By
                                                                                          • impact population high affuence lifestyle These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
                                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                          Environment - Societal Responses Model #17
                                                                                          A
                                                                                          attractiveness of high-affluence lifestyle (Attractiveness units)
                                                                                          = (
                                                                                          reference attractivness high-affluence lifestyle+( Population with high-affluence lifestyle* lifestyle socio-technical regime effect))* effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation* effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response* effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change
                                                                                          Description: The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                                          Present In 1 View: Used By
                                                                                          • relative attractiveness of high-afflluence lifestyle A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
                                                                                          • total attractiveness of all lifestyle Variable calculating the toal attractivenss of all lifestyles in the system.
                                                                                          Feedback Loops: 75 (70.8%) (+) 37  [4,15] (-) 38  [5,15]
                                                                                          Environment - Societal Responses Model #18
                                                                                          A
                                                                                          attractiveness of low-affluence lifestyle (Attractiveness units)
                                                                                          = (
                                                                                          reference attractiveness low-affluence lifestyle+( lifestyle socio-technical regime effect* Population with low-affluence lifestyle))
                                                                                          Description: The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness low affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The switch function captures the same function, with the addition of policies or actions designed to enhance the attractiveness of the low-impact lifestyle. In fact, external factors, like social and environmental pressures, taxes, or regulations, information or education, can alter the attractiveness of a way of living (Bergquist et al., 2023; Brown & Vergragt, 2016).
                                                                                          Present In 1 View: Used By
                                                                                          • relative attractiveness of low-affluence lifestyle Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
                                                                                          • total attractiveness of all lifestyle Variable calculating the toal attractivenss of all lifestyles in the system.
                                                                                          Feedback Loops: 21 (19.8%) (+) 10  [4,15] (-) 11  [5,15]
                                                                                          Environment - Societal Responses Model #26
                                                                                          A
                                                                                          CO2 absorption (CO2 Gt/Year)
                                                                                          =
                                                                                          impacts absorption* CO2 Gt converter
                                                                                          Description: The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
                                                                                          Present In 1 View: Used By
                                                                                            Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                            Environment - Societal Responses Model #27
                                                                                            A
                                                                                            CO2 emissions (CO2 Gt/Year)
                                                                                            =
                                                                                            impacts generation* CO2 Gt converter
                                                                                            Description: The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
                                                                                            Present In 1 View: Used By
                                                                                              Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                              Environment - Societal Responses Model #29
                                                                                              A
                                                                                              CO2 ppm (CO2 ppm)
                                                                                              =
                                                                                              Cumulative impacts* cumulative impacts to CO2ppm equivalent
                                                                                              Description: The impacts (‘Cumulative impacts’) have been converted into CO2 ppm (‘cumulative impacts to CO2ppm equivalent’) to calibrate the model. The base results align with actual trends, with the model showing CO2 ppm starting at 300 in 1950 and reaching approximately 430 in 2020, compared to the real value of 420 (Friedlingstein et al., 2023; IPCC, 2023). The base scenario projects CO2 levels exceed 560 ppm by 2100, which seems plausible and aligns with intermediary IPCC scenarios and other research estimates, such as Szulejko et al. (2017), who estimated slightly above 620 ppm by 2100 based on extrapolated growth trends up to 2014 (a discrepancy that seems possible as some mitigation policies have been implemented meanwhile ).In the extreme scenario where no fundamental policies are implemented, the model projects an upper value of 970 ppm, implying that if humanity maintained the impact growth rate from the 1950s without any mitigation efforts, CO2 levels would reach such high values. This figure is plausible as it falls within the IPCC's extreme scenarios range (SSP5-8.5) and aligns with other extreme estimates in the literature, such as Hu et al. (2019), who assumed an upper-high CO2 level of 936 ppm.These results provide confidence in the robustness of the model output.https:/www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide
                                                                                              Present In 1 View: Used By
                                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                Environment - Societal Responses Model #35
                                                                                                A
                                                                                                diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                = (
                                                                                                A - diminishing returns in adaptation capacity built per effort multiplier+( K - diminishing returns in adaptation capacity built per effort multiplier- A - diminishing returns in adaptation capacity built per effort multiplier)/( C - diminishing returns in adaptation capacity built per effort multiplier+ Q - diminishing returns in adaptation capacity built per effort multiplier*(( A - diminishing returns in adaptation capacity built per effort multiplier*( C - diminishing returns in adaptation capacity built per effort multiplier-1)+ K - diminishing returns in adaptation capacity built per effort multiplier- ry - diminishing returns in adaptation capacity built per effort multiplier* C - diminishing returns in adaptation capacity built per effort multiplier)/( Q - diminishing returns in adaptation capacity built per effort multiplier*( ry - diminishing returns in adaptation capacity built per effort multiplier- A - diminishing returns in adaptation capacity built per effort multiplier)))^(( Adaptation capacity- M - diminishing returns in adaptation capacity built per effort multiplier)/( rx - diminishing returns in adaptation capacity built per effort multiplier- M - diminishing returns in adaptation capacity built per effort multiplier))))
                                                                                                Description: This function captures the diminishing return in adaptation capacity implementation. After a certain threshold, the more effort is spent on adaptation capacity the less adaptive capacity is generated as we approach a technological development ceiling – ‘limits to adaptation’ debate (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function calculated to capture such an effect is an inverse (decreasing) s-shaped curve. It was selected as it believed that it approximates well the non-linearity of the approaching of the technological ceiling (slow initial reduction in output per effort that increases more and more over time until it reaches zero). It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Adapation capacity’ as input to the function.
                                                                                                Present In 1 View: Used By
                                                                                                • adaptation capacity built per effort This variable represents amount of adaptation capacity developed per unit of 'adaptation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                                                Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                                                                                Environment - Societal Responses Model #36
                                                                                                A
                                                                                                dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                = (
                                                                                                A - dimishing returns in mitigation technological development per effort multiplier+( K - dimishing returns in mitigation technological development per effort multiplier- A - dimishing returns in mitigation technological development per effort multiplier)/( C - dimishing returns in mitigation technological development per effort multiplier+ Q - dimishing returns in mitigation technological development per effort multiplier*(( A - dimishing returns in mitigation technological development per effort multiplier*( C - dimishing returns in mitigation technological development per effort multiplier-1)+ K - dimishing returns in mitigation technological development per effort multiplier- ry - dimishing returns in mitigation technological development per effort multiplier* C - dimishing returns in mitigation technological development per effort multiplier)/( Q - dimishing returns in mitigation technological development per effort multiplier*( ry - dimishing returns in mitigation technological development per effort multiplier- A - dimishing returns in mitigation technological development per effort multiplier)))^(( Mitigation technology- M - dimishing returns in mitigation technological development per effort multiplier)/( rx - dimishing returns in mitigation technological development per effort multiplier- M - dimishing returns in mitigation technological development per effort multiplier))))
                                                                                                Description: This function captures the phenomenon of diminishing returns in mitigation technology. Beyond a certain threshold, increasing effort in mitigation technology results in diminishing outputs as we approach a technological development ceiling (Alexander & Rutherford, 2019; Dow et al., 2013; Keary, 2016). The function used to represent this effect is an inverse (decreasing) S-shaped curve. This choice was made because it is believed to closely approximate the non-linearity of technological progress towards the ceiling (initially slow reduction in output per effort, accelerating over time until it reaches zero). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For a more detailed explanation of each parameter's meaning, please refer to their work.-Version of Generalized logistic equation computed with six parameters and reference points: A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘Mitigation technology’ as input to the function.
                                                                                                Present In 1 View: Used By
                                                                                                • mitigation technlogical development per effort This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                                                Feedback Loops: 1 (0.9%) (+) 1  [4,4] (-) 0  [0,0]
                                                                                                Environment - Societal Responses Model #37
                                                                                                A
                                                                                                effect of pressure to respond on adaptation priority (dmnl)
                                                                                                = (
                                                                                                A - effect of pressure perception on adaptation priority+( K - effect of pressure perception on adaptation priority- A - effect of pressure perception on adaptation priority)/(1+(( K - effect of pressure perception on adaptation priority- ry - effect of pressure perception on adaptation priority)/( ry - effect of pressure perception on adaptation priority- A - effect of pressure perception on adaptation priority))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressure perception on adaptation priority)/( rx - effect of pressure perception on adaptation priority- M - effect of pressure perception on adaptation priority))))*(1- SWT to static allocation rule)+ alternative allocation to adaptation fraction* SWT to static allocation rule
                                                                                                Description: In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                                                Present In 1 View: Used By
                                                                                                • adaptation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
                                                                                                • technological mitigation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
                                                                                                Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [6,6]
                                                                                                Environment - Societal Responses Model #38
                                                                                                A
                                                                                                effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (dmnl)
                                                                                                = (
                                                                                                A - effect of pressures perception on attractivenss of high affluence lifestyle+( K - effect of pressures perception on attractivenss of high affluence lifestyle- A - effect of pressures perception on attractivenss of high affluence lifestyle)/( C - effect of pressures perception on attractivenss of high affluence lifestyle+ Q - effect of pressures perception on attractivenss of high affluence lifestyle*(( A - effect of pressures perception on attractivenss of high affluence lifestyle*( C - effect of pressures perception on attractivenss of high affluence lifestyle-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle- ry - effect of pressures perception on attractivenss of high affluence lifestyle* C - effect of pressures perception on attractivenss of high affluence lifestyle)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle*( ry - effect of pressures perception on attractivenss of high affluence lifestyle- A - effect of pressures perception on attractivenss of high affluence lifestyle)))^(( action trigger for behavioural mitigation- M - effect of pressures perception on attractivenss of high affluence lifestyle)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle- M - effect of pressures perception on attractivenss of high affluence lifestyle))))
                                                                                                Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘action trigger for behavioural change’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high-affluence lifestyle and high 'perceived pressures'. This curve was selected because it approximates the gradual reduction in attractiveness over time, starting with a slow initial decline and accelerating as perceived pressures intensify. Notably, the function is not very steep, reflecting research findings that individuals may not automatically change behaviour despite being aware of the environmental problems associated with their lifestyle. For example, pro-environmental voting intentions do not always correspond to radical behavioural changes and lower carbon footprints (Malik et al., 2022). The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘action trigger for behavioural change’ as input to the function.
                                                                                                Present In 1 View: Used By
                                                                                                • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                                                Feedback Loops: 21 (19.8%) (+) 11  [10,15] (-) 10  [10,14]
                                                                                                Environment - Societal Responses Model #39
                                                                                                A
                                                                                                effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (dmnl)
                                                                                                = SAMPLE IF TRUE((
                                                                                                SWT rapid behavioural response* pressure to respond (perceived pressures))/ behavioural mitigation threshold rapid response>1:AND:( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+( K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+ Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*(( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response* C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))^((( pressure to respond (perceived pressures)/ behavioural mitigation threshold rapid response)- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response))))< effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response,( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+( K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response+ Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*(( A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response-1)+ K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response* C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response*( ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))^((( pressure to respond (perceived pressures)/ behavioural mitigation threshold rapid response)- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)/( rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response- M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response)))),1)
                                                                                                Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                                                Present In 1 View: Used By
                                                                                                • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                                                Feedback Loops: 21 (19.8%) (+) 10  [9,13] (-) 11  [9,14]
                                                                                                Environment - Societal Responses Model #40
                                                                                                A
                                                                                                effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (dmnl)
                                                                                                = (
                                                                                                A - forced effect of pressure perception attractiveness of high affluence lifestyle+( K - forced effect of pressure perception attractiveness of high affluence lifestyle- A - forced effect of pressure perception attractiveness of high affluence lifestyle)/( C - forced effect of pressure perception attractiveness of high affluence lifestyle+ Q - forced effect of pressure perception attractiveness of high affluence lifestyle*(( A - forced effect of pressure perception attractiveness of high affluence lifestyle*( C - forced effect of pressure perception attractiveness of high affluence lifestyle-1)+ K - forced effect of pressure perception attractiveness of high affluence lifestyle- ry - forced effect of pressure perception attractiveness of high affluence lifestyle* C - forced effect of pressure perception attractiveness of high affluence lifestyle)/( Q - forced effect of pressure perception attractiveness of high affluence lifestyle*( ry - forced effect of pressure perception attractiveness of high affluence lifestyle- A - forced effect of pressure perception attractiveness of high affluence lifestyle)))^((( forced behavioural change trigger)- M - forced effect of pressure perception attractiveness of high affluence lifestyle)/( rx - forced effect of pressure perception attractiveness of high affluence lifestyle- M - forced effect of pressure perception attractiveness of high affluence lifestyle))))
                                                                                                Description: This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                                                Present In 1 View: Used By
                                                                                                • attractiveness of high-affluence lifestyle The attractiveness of a lifestyle depends on its intrinsic appeal (captured by the corresponding reference attractiveness) and is enhanced by the lifestyle's socio-technical regime. This mechanism reflects that a behavior becomes more socially appealing as more people adopt it and that as a lifestyle becomes more widespread, the technical infrastructure evolves to meet its needs. The attractiveness of the two lifestyles is then calculated following and adapting Arthur’s lock-in analytical formulations (Arthur, 1989; Safarzyńska et al., 2012; Sterman, 2000), so that the attractiveness of a lifestyle depends on the intrinsic utility and wellbeing a lifestyle provides (reference attractiveness high affluence lifestyle) plus the number of people in that state multiplied by a coefficient (Sociotechnical Regime Effect).According to this formulation, an agent will not choose between two goods or behaviours only based upon the intrinsic attractiveness a and b, but takes into account also the intensity of the network associated with the two goods, which depends on the number of people already adopting that good (Na and Nb) and on a network effect (r). Ultimately, even if b>a, the agent may still stick with option a because a*r*Na<b*r*Nb (Arthur, 1989; Safarzyńska et al., 2012, p. 1017).The multiplier "effect of pressures perception on the attractiveness of the old lifestyle" reflects that an increase in the perception of socio-environmental pressures caused by climate change can lead to a decrease in the attractiveness of the high-affluence lifestyle, if people recognize it as a source of the problem.The multiplier ‘effect of pressures perception on attractiveness of high affluence lifestyle - rapid response’ reflects the decrease in attractiveness of the high affluence lifestyle if behavioural mitigation responses are implemented. The multiplier ‘involuntary effect of pressure perception attractiveness of high affluence lifestyle’ reflects the decrease in the attractiveness of the high affluence lifestyle if the surrounding environment is highly disrupted.
                                                                                                Feedback Loops: 21 (19.8%) (+) 10  [10,14] (-) 11  [10,15]
                                                                                                Environment - Societal Responses Model #41
                                                                                                A
                                                                                                effect of pressure to respond on effort (dmnl)
                                                                                                = (
                                                                                                A - effect of pressures perception on effort - base scenario+( K - effect of pressures perception on effort - base scenario- A - effect of pressures perception on effort - base scenario)/(1+(( K - effect of pressures perception on effort - base scenario- ry - effect of pressures perception on effort - base scenario)/( ry - effect of pressures perception on effort - base scenario- A - effect of pressures perception on effort - base scenario))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressures perception on effort - base scenario)/( rx - effect of pressures perception on effort - base scenario- M - effect of pressures perception on effort - base scenario))))*(1- SWT to rapid response after perception)+( A - effect of pressures perception on effort - alternative scenario+( K - effect of pressures perception on effort - alternative scenario- A - effect of pressures perception on effort - alternative scenario)/(1+(( K - effect of pressures perception on effort - alternative scenario- ry - effect of pressures perception on effort - alternative scenario)/( ry - effect of pressures perception on effort - alternative scenario- A - effect of pressures perception on effort - alternative scenario))^((( pressure to respond (perceived pressures)/ resources allocation threshold)- M - effect of pressures perception on effort - alternative scenario)/( rx - effect of pressures perception on effort - alternative scenario- M - effect of pressures perception on effort - alternative scenario))))* SWT to rapid response after perception
                                                                                                Description: In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                                Present In 1 View: Used By
                                                                                                • effort taken against impact per year This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
                                                                                                Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [7,11]
                                                                                                Environment - Societal Responses Model #42
                                                                                                A
                                                                                                effort taken against impact per year ($/Year)
                                                                                                =
                                                                                                total potential effort per year* effect of pressure to respond on effort
                                                                                                Description: This variable calculates the actual effort mobilised by multiplying the 'total potential effort' by the effort humanity decides to exert ('effect of pressures perception on effort') based on the 'perceived pressures.'
                                                                                                Present In 1 View: Used By
                                                                                                • adaptation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort allocated to adaptation. Although historical data on adaptation and mitigation investment remains limited, recent research provides useful anchor points. For instance, Cortés Arbués et al. (2025) show that across European countries, private investment in adaptation increased exponentially between 2018 and 2023, reaching an average of approximately 0.20-0.25% of GDP in 2023 (see Figure 1 in their study). We use this estimate as an empirical anchor point for model calibration.https:/www.nature.com/articles/s43247-025-02454-3/figures/1Cortés Arbués, I., Chatzivasileiadis, T., Storm, S. et al. Private investments in climate change adaptation are increasing in Europe, although sectoral differences remain. Commun Earth Environ 6, 470 (2025). https:/doi.org/10.1038/s43247-025-02454-3
                                                                                                • technological mitigation effort per year This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
                                                                                                Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [7,11]
                                                                                                Environment - Societal Responses Model #43
                                                                                                A
                                                                                                forced behavioural change threshold (dmnl)
                                                                                                = 1.6*
                                                                                                SWT forced behavioural change loop
                                                                                                Description: This value captures the threshold at which the perceived environmental disruption becomes so extreme that the high-affluence lifestyle becomes unsustainable. It is set to 1.6. Given that increases of approximately 0.3 impact units correspond to a 1°C variation in the model, this implies that if the population perceives the consequences of a 2°C variation compared to what they are adapted to, the high-affluence lifestyle becomes less attractive. The 2°C threshold is based on the IPCC report (2023, longer report, p. 31; Risk as burning embers figure), where at this level, human risk is considered very high.
                                                                                                Present In 2 Views: Used By
                                                                                                • forced behavioural change trigger If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
                                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                Environment - Societal Responses Model #44
                                                                                                A
                                                                                                forced behavioural change trigger (dmnl)
                                                                                                =
                                                                                                pressure to respond (perceived pressures)/ forced behavioural change threshold
                                                                                                Description: If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
                                                                                                Present In 1 View: Used By
                                                                                                • effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ with the increasing ‘involuntary behavioural change trigger’. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing feasibility of the high-affluence lifestyle (captured by the attractiveness variable) with increasing 'perceived pressures'. Notably, the function is steep, reflecting that once natural critical thresholds are surpassed, the current lifestyle becomes rapidly impractical. For example, once an area starts experiencing more severe and frequent droughts, people will no longer be able to maintain their current activities, such as cultivating food, watering plants and animals, filling pools, and welcoming tourists. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘involuntary behavioural change trigger’ as input to the function.Note that the function is not irreversible. If the environment is severely disrupted but humanity implements fundamental solutions to improve it, this effect can be deactivated in the long run as the state of the environment improves.
                                                                                                Feedback Loops: 21 (19.8%) (+) 10  [10,14] (-) 11  [10,15]
                                                                                                Environment - Societal Responses Model #49
                                                                                                A
                                                                                                impact population high affuence lifestyle (Impact units/Year)
                                                                                                =
                                                                                                affluence and population growth* initial impact high affluence lifestyle per person* population 1950
                                                                                                Description: These are the impacts generated per person with the high-affluence lifestyle per year. They are computed by multiplying the 'initial impact high affluence lifestyle' by the estimated 'affluence growth' trends over time.
                                                                                                Present In 1 View: Used By
                                                                                                • impact population low affluence lifestyle In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
                                                                                                • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                Environment - Societal Responses Model #50
                                                                                                A
                                                                                                impact population low affluence lifestyle (Impact units/Year)
                                                                                                = MIN(
                                                                                                impact population high affuence lifestyle,( impact population high affluence lifestyle in 2020* fractional consumption from high- to low-affluence lifestyle))
                                                                                                Description: In the model, the ‘impact low affluence lifestyle’ is assumed to be 70% lower than the high affluence one, in line with recent research showing that decent living standards can also be achieved with such reduction in per-capita energy use than currently utilised in affluent countries (Lockyer, 2017; Rao et al., 2019; Trainer, 2021; Wiedmann et al., 2020; Sato et al. 2016). To estimate this value, we simulated the do-nothing scenario, where no fundamental mitigation policies are implemented, and used the 2020 value of 'impact high affluence lifestyle' (as it aligns with the period of the referenced studies), computing 30% of that value. The minimum function ensures that if the model starts with an extremely low 'impact high affluence lifestyle', the 'impact low affluence lifestyle' is not greater.
                                                                                                Present In 1 View: Used By
                                                                                                • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                Environment - Societal Responses Model #51
                                                                                                LI,F,A
                                                                                                impacts absorption (Impact units/Year)
                                                                                                = MAX(0,(
                                                                                                Cumulative impacts- cumulative impacts target level)/ impacts absorption time)
                                                                                                Description: The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
                                                                                                Present In 1 View: Used By
                                                                                                • CO2 absorption The resulting increasing trend in CO₂ absorption is consistent with descriptions in the literature, which similarly report rising absorption over time (Friedlingstein et al., 2025). The magnitude of the values is also comparable to those reported in that study. While we express absorption in gigatonnes of CO₂ (GtCO₂), Friedlingstein et al. (2025) report values in gigatonnes of carbon (GtC). Since 1 GtC corresponds to approximately 3.67 GtCO₂, converting their estimates into CO₂ units yields values of the same order of magnitude as those generated by our model.https:/essd.copernicus.org/articles/17/965/2025/
                                                                                                • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                                                                Feedback Loops: 2 (1.9%) (+) 0  [0,0] (-) 2  [2,4]
                                                                                                Environment - Societal Responses Model #52
                                                                                                A
                                                                                                impacts absorption time (Year)
                                                                                                =
                                                                                                reference impacts absorption time* natural sinks degradation due to cumulative impacts multiplier
                                                                                                Description: This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
                                                                                                Present In 1 View: Used By
                                                                                                • impacts absorption The planet also absorbs impacts over time through its natural sinks ('exceeding impacts absorption'). This absorption process is assumed to exhibit goal-seeking behavior driven by a balancing loop, consistent with similar conceptualisations of CO2 and pollution stocks (Forrester, 1971; Meadows et al., 1972). Specifically, the system aims to reach the 'cumulative impacts balance' level, representing the level of impacts that the system operates under normal conditions. For instance, the CO2 parts per million (ppm) in the air is not zero under normal conditions (excluding human activity), but has been approximately 280 ppm over the eras. This outflow represents the system's tendency to reach and maintain that level. The 'absorption time' indicates the average duration the impacts stay in the system (the stock of ‘Cumulative impacts’) before being absorbed. The 'max' function ensures that the flow never becomes negative (i.e., the stock is smaller than the target) and it increases the stock, as it would be unrealistic.
                                                                                                Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                                                                                Environment - Societal Responses Model #53
                                                                                                LI,F,A
                                                                                                impacts generation (Impact units/Year)
                                                                                                = ((
                                                                                                Population with high-affluence lifestyle* impact population high affuence lifestyle* technology effect)+( Population with low-affluence lifestyle* impact population low affluence lifestyle* technology effect))
                                                                                                Description: The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                                                Present In 1 View: Used By
                                                                                                • CO2 emissions The impacts ('impacts generation') have been converted into CO2 gigatonnes (Gt) ('CO2 Gt converter') to calibrate the model. The do-nothing scenario leads to approximately 90 CO2 Gt emissions per year, aligning with the extreme scenarios of the IPCC report (2023 - Synthesis Report, longer report, p.31), specifically scenarios SSP5-8.5 and SSP5-7.0. The base case scenario results in approximately 45 CO2 Gt per year, corresponding to the intermediate SSP2-4.5 scenario (IPCC, 2023 - Synthesis Report, longer report, p.31). In scenarios where fundamental mitigation policies are implemented, impacts generation approaches zero. This outcome is within the range of plausible scenarios highlighted by the IPCC (2023) and is close to some of the most optimistic scenarios (e.g., SSP1-2.6).Thus, we used the CO2 Gt emissions per year to calibrate the model outputs, ensuring they reproduce a range of scenarios consistent with the latest IPCC report (2023).Similar values can be found also in IPCC, 2023 - Synthesis Report, SPM, p.23.This can increase confidence in the robustness of model output.
                                                                                                • Cumulative impacts The flow of 'Impacts Generation' accumulates in the stock of 'Cumulative Impacts'. This formulation, where negative environmental externalities accumulate as stocks over time, is typical in the literature (Forrester, 1971; Meadows et al., 1972; Sterman, 2008). It captures the fact that impacts are not instantaneous occurrences that disappear immediately but rather accumulate over time.
                                                                                                Feedback Loops: 65 (61.3%) (+) 32  [9,15] (-) 33  [9,15]
                                                                                                Environment - Societal Responses Model #68
                                                                                                A
                                                                                                M - effect of pressure perception on adaptation priority (dmnl )
                                                                                                = IF THEN ELSE(
                                                                                                Time>=2026, M - effect of pressure perception on adaptation priority for sensitivity analysis, M - effect of pressure perception on adaptation priority for sensitivity analysis)
                                                                                                Description: Parameter M in the logistic function computed for the base scenario in ‘effect of pressure perception on adaptation priority’. For more details see Ríos‐Ocampo & Gary (2022). Higher values lead to higher allocations to technological mitigation. Although empirical data on the allocation of effort between mitigation and adaptation remain limited, the M parameter of this function has been calibrated under the base scenario (current pathway) so that the variables 'adaptation effort per year' and 'technological mitigation effort per year' are consistent with the available empirical estimates. Further details on this calibration are provided in the relevant model function descriptions.Base case = 1.4; Alternbative value (more Tech Mitigation) = 1.7
                                                                                                Present In 1 View: Used By
                                                                                                • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                                                Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                Environment - Societal Responses Model #75
                                                                                                A
                                                                                                mitigation technlogical development per effort (dmnl/$)
                                                                                                = IF THEN ELSE(
                                                                                                SWT dimishing returns in mitigation technological development per effort=1, dimishing returns in mitigation technological development per effort multiplier* constant returns in mitigation technological development built per effort, constant returns in mitigation technological development built per effort)
                                                                                                Description: This variable represents amount of technological mitigation developed per unit of 'technological mitigation effort per year'. The switch allows for exploration of constant return and diminishing return scenarios.
                                                                                                Present In 1 View: Used By Feedback Loops: 1 (0.9%) (+) 1  [4,4] (-) 0  [0,0]
                                                                                                Environment - Societal Responses Model #77
                                                                                                LI,F,A
                                                                                                mitigation technology development rate (dmnl/Year)
                                                                                                =
                                                                                                technological mitigation effort per year* mitigation technlogical development per effort
                                                                                                Description: This flow computes the development of technological mitigation over time.
                                                                                                Present In 1 View: Used By
                                                                                                • Mitigation technology This stock represents the level of mitigation technology developed within the system. It starts at 1, reflecting the technological efficiency level of 1950, and accumulates over time as investments are made to improve mitigation technology. Assuming an evolutionary perspective on technological development, this stock increases only, due to variations in the inflow. Higher values indicate scenarios with greater efficiency. For example,a value of 2 in Mitigation technology equals to have a techological mitigation efficiency (broadly intended) twice of what is was in the 1950s.
                                                                                                Feedback Loops: 3 (2.8%) (+) 2  [4,10] (-) 1  [11,11]
                                                                                                Environment - Societal Responses Model #78
                                                                                                DE,A
                                                                                                mitigation technology implemented (dmnl)
                                                                                                = DELAY3I(
                                                                                                Mitigation technology, time to implement mitigation technology, Mitigation technology)
                                                                                                Description: We assumed that the implementation of the developed technological capacity is not instantaneous but takes time. We modeled this delay using a third-order delay function, which is considered appropriate for capturing technological implementation delays (Sterman, 2000).
                                                                                                Present In 1 View: Used By
                                                                                                • technology effect Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
                                                                                                Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
                                                                                                Environment - Societal Responses Model #80
                                                                                                A
                                                                                                natural sinks degradation due to cumulative impacts multiplier (dmnl)
                                                                                                = MAX(1,EXP((
                                                                                                Cumulative impacts- natural sinks degradation due to cumulative impacts threshold)* natural sinks degradation curve slope))
                                                                                                Description: Natural sinks can deteriorate with the increase of the cumulative impacts in the environment, decreasing the absorption rate (creating a reinforcing loop) (Canadell et al., 2007; Forrester, 1971; Le Quéré et al., 2009; Lenton et al., 2019; Meadows et al., 1972). This effect is captured in the model as follows: if 'Cumulative Impacts' exceed the 'Natural Sink Degradation Threshold', natural sinks start to deteriorate. If this threshold is not exceeded, the function value is 1 (due to the MAX function defining the minimum value). If the threshold is exceeded, the exponential function value becomes greater than 1, as the exponent is positive. The exponential function captures the nonlinear and exponential effects that surpassing the natural sink tipping point has on the absorption time. The output of this variable is a multiplier that affects the 'Reference Absorption Time' in the 'Absorption Time' variable. Finally, the 'Natural Sinks Degradation Curve Slope' is a variable used to regulate the steepness of the exponential function and to calibrate the model.
                                                                                                Present In 1 View: Used By
                                                                                                • impacts absorption time This variable represents the average time it takes to absorb the excess 'Cumulative Impacts'. It is calculated by multiplying the 'reference impacts absorption time' by the 'natural sinks degradation due to cumulative impacts multiplier'. This multiplier exceeds one when 'Cumulative Impacts' increase to the point of deteriorating natural sinks.
                                                                                                Feedback Loops: 1 (0.9%) (+) 0  [0,0] (-) 1  [4,4]
                                                                                                Environment - Societal Responses Model #82
                                                                                                A
                                                                                                perceived pressures - Cumulative impacts gap (Impact units)
                                                                                                =
                                                                                                Cumulative impacts-( pressure to respond (perceived pressures)* pressures to impact units converter)
                                                                                                Description: Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                                                Present In 1 View: Used By
                                                                                                  Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                  Environment - Societal Responses Model #83
                                                                                                  A
                                                                                                  perceived pressures - socio-environmental consequences gap (Impact units)
                                                                                                  =
                                                                                                  socio-environmental consequences-( pressure to respond (perceived pressures)* pressures to impact units converter)
                                                                                                  Description: Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                                                  Present In 1 View: Used By
                                                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                    Environment - Societal Responses Model #88
                                                                                                    A
                                                                                                    pressure to respond (perceived pressures) (dmnl)
                                                                                                    = (
                                                                                                    socio-environmental consequences/ adaptation implemented)/ pressures tolerance threshold
                                                                                                    Description: The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                                                                                    Present In 1 View: Used By
                                                                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                                                    • perceived pressures - Cumulative impacts gap Variable measuring the gap between the state of the environment ('Cumulative impacts') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                                                    • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                                                    • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
                                                                                                    • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                                                    • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                                    • forced behavioural change trigger If the perceived pressures exceed the 'involuntary behavioral change threshold' (indicating when the perceived pressures become unbearable), the involuntary mechanisms that make the high-affluence lifestyle unfeasible are activated
                                                                                                    Feedback Loops: 67 (63.2%) (+) 32  [9,15] (-) 35  [6,15]
                                                                                                    Environment - Societal Responses Model #100
                                                                                                    A
                                                                                                    relative attractiveness of high-afflluence lifestyle (1)
                                                                                                    =
                                                                                                    attractiveness of high-affluence lifestyle/ total attractiveness of all lifestyle
                                                                                                    Description: A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
                                                                                                    Present In 1 View: Used By
                                                                                                    • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                                    Feedback Loops: 57 (53.8%) (+) 28  [4,15] (-) 29  [5,15]
                                                                                                    Environment - Societal Responses Model #101
                                                                                                    A
                                                                                                    relative attractiveness of low-affluence lifestyle (1)
                                                                                                    =
                                                                                                    attractiveness of low-affluence lifestyle/ total attractiveness of all lifestyle
                                                                                                    Description: Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
                                                                                                    Present In 1 View: Used By
                                                                                                    • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                                    Feedback Loops: 39 (36.8%) (+) 19  [4,15] (-) 20  [5,15]
                                                                                                    Environment - Societal Responses Model #120
                                                                                                    SM,A
                                                                                                    socio-environmental consequences (Impact units)
                                                                                                    = SMOOTH(
                                                                                                    Cumulative impacts, perception delay)
                                                                                                    Description: After a ‘perception delay’, the global population will perceive the effects of the ‘Cumulative impacts’ on the environment (e.g., extreme weather events and social turmoil) as ‘perceived cumulative impacts’.Note that, in reality, the global population is not constrained to wait to perceive the consequences of 'Cumulative Impacts' before taking action. Scientists have long warned about the consequences of cumulative impacts and proposed proactive measures to address them, yet these actions have not been taken on a large scale (Beck & Mahony, 2017; see also climate delay discourses in Lamb et al., 2020; Painter et al., 2023). Consequently, it is now too late to take action to maintain temperature rises below 1.5°C (Hulme, 2020; IPCC, 2023; Moser, 2020). For this reason, we assume that perception drives action, which aligns with other modeling work (Beckage et al., 2018; Eker et al., 2019). Given these dynamics, climate change has been termed the 'predictable surprise' (Bazerman, 2006). In our model, we assume that people act only when pressures are perceived, but anticipatory scenarios can also be explored by adjusting the delay structure.To translate perceived impacts into something more tangible, consider the following approach. In the most extreme scenarios, the increase in 'perceived cumulative impacts' ranges between 1 and about 2.65, representing a range of 1.65. By capturing the extreme scenarios in terms of CO2 behavior, we can relate them with the corresponding extreme consequences reported by the IPCC (2023), which suggests an upper limit of 5°C temperature variation.Therefore, we can divide the range of 1.65 by 5°C to assess how much a variation in 'perceived cumulative impacts’ corresponds to a temperature variation. This calculation yields 1.65/5 = 0.33. Hence, an increase of approximately 0.3 in 'perceived cumulative impacts' can roughly correspond to a temperature increase of 1°C.For interpreting the risks associated with each temperature increase, refer to the IPCC (2023 - Synthesis report- longer report - p.31), specifically the "Risks as Burning Embers" figure, which illustrates risks perceived associated per temperature variation.
                                                                                                    Present In 1 View: Used By
                                                                                                    • perceived pressures - socio-environmental consequences gap Variable measuring the gap between the state of the environment ('socio-environmental consequences') and its actual perception ('pressure to respond'). The units converter is necessary to ensure accurate dimensional comparisons
                                                                                                    • pressure to respond (perceived pressures) The global population begins to feel the 'perceived pressures' once the 'perceived cumulative impacts' exceed the adaptation capacity implemented ('adaptation implemented') and the non-offset by adaptation impacts also exceed the tolerance threshold ('pressures tolerance threshold').In fact, the scope and effect of adaptation is to reduce the perception or the pressures (Wheeler et al, 2021).
                                                                                                    Feedback Loops: 65 (61.3%) (+) 32  [9,15] (-) 33  [9,15]
                                                                                                    Environment - Societal Responses Model #121
                                                                                                    A
                                                                                                    SWT behavioural mitigation loop (dmnl)
                                                                                                    = IF THEN ELSE(
                                                                                                    Time>=2026,1,1)*1+IF THEN ELSE( Time>=2026,1000,1)*0
                                                                                                    Description: IF THEN ELSE(Time>=2026, 1000 , 1 ) If you want to turn off this feedback loop, you need to set the threshold parameter to a very high value.
                                                                                                    Present In 1 View: Used By
                                                                                                    • action trigger for behavioural mitigation An increase in ‘perceived pressures’ is expected to lower the attractiveness of the old lifestyle, since the old lifestyle is responsible for the undesired environmental impacts. Once the global population perceives the ‘Cumulative impacts’ consequences, we assume that high-affluence behaviour will be deemed problematic and become less attractive. In fact, if the global population identifies the affluent lifestyle and behaviour as the cause of the pressure, then the attractiveness of the lifestyle itself will decrease. Consistent with protection motivation theory, the perception of risks and threats can be a powerful driver to promote societal behavioural change (Beckage et al., 2018; Eker et al., 2019). As long as a person or community perceives that their behaviour is responsible for some risks, they are more motivated to do something. There is substantial for this response mechanism related to climate change (Bockarjova & Steg, 2014; Hunter & Röös, 2016; Lujala et al., 2015; Venghaus et al., 2022; Wells et al., 2011). However, this attribution is not straightforward, as an additional threshold (‘behavioural change threshold’) has to be overcome before behavioural change is triggered. This additional threshold comprises all the additional barriers hindering behavioural change, and captures that changing behaviour from high-affluence to low-affluence consists of an additional step than just perceiving the pressures but also to acknowledge that the high-affluence behaviour is responsible for climate change. Once this threshold is exceeded, people in the model are pushed to attribute the responsibility for the generation of pressures to their lifestyle behaviour, which leads to a decrease in the attractiveness of the affluence-based lifestyle.
                                                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                    Environment - Societal Responses Model #125
                                                                                                    A
                                                                                                    SWT rapid behavioural response (dmnl)
                                                                                                    = IF THEN ELSE(
                                                                                                    Time>=2026,0,0)
                                                                                                    Description: Switch to trigger rapid behavioural response in 2026 if activated
                                                                                                    Present In 1 View: Used By
                                                                                                    • effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response This function captures the decreasing attractiveness of ‘attractiveness of high affluence lifestyle’ when the rapid behavioural change policy is implemented. The function is designed as an inverse (decreasing) S-shaped curve to reflect the non-linear relationship between decreasing attractiveness of the high affluence lifestyle due to policy implementation as result of the increasing perceived pressures exceeding the policy activation threshold (‘behavioural mitigation threshold rapid response’). Notably, the function is steep, reflecting the rapid response nature. The function is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalised logistic equation computed with six parameters and reference points:A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M))))A minimumK maximumC parameterQ parameterM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input= (‘pressure to respond’/‘behavioural mitigation threshold rapid response’) as input to the function.Note that the function is of the type Sample if True, to make it the policy changes irreversible. This function should be read: IF input*Switch function>1 AND the current value of the function<value of the function in the previous time step, THEN assume the current value of the function, ELSE 1
                                                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                    Environment - Societal Responses Model #126
                                                                                                    A
                                                                                                    SWT to rapid response after perception (dmnl )
                                                                                                    = IF THEN ELSE(
                                                                                                    Time>=2026,0,0)
                                                                                                    Description: Switch to activate the alternative prototypical scenario in which resource allocation is much much more rapid once perceived pressures exceed a certain threshold.
                                                                                                    Present In 2 Views: Used By
                                                                                                    • effect of pressure to respond on effort In the base scenario form, this function captures the fact that, once the perceived pressures exceed the resource allocation threshold, the higher the perceived pressure the more resources will be allocated to contrast the problem, in line with theory (Beckage et al., 2018; Eker et al., 2019) and empirical findings (Demski et al., 2017), as there will be more risks associated with higher perceived pressures (IPCC, 2023 - Synthesis Report- Longer Report - p.31 - the figure "Risks as burning embers" reports risk perception and experience). In other words, Rising pressure increases the total amount of Effort Taken Against Impact and the allocation of that effort to either adaption or technological mitigation. The function used to model this relationship is an increasing S-shaped curve, reflecting slow initial allocation that accelerates and then decelerates as it approaches saturation.. It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one, still represented by a logistic S-shaped curve. In this alternative scenario, resource allocation increases much more steeply once perceived pressures exceed a certain threshold. This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by allocating all available resources.
                                                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                    Environment - Societal Responses Model #127
                                                                                                    A
                                                                                                    SWT to static allocation rule (dmnl )
                                                                                                    = IF THEN ELSE(
                                                                                                    Time>=2026,0,0)
                                                                                                    Description: Switch to activate the alternative prototypical scenario in which resource allocation is static.
                                                                                                    Present In 2 Views: Used By
                                                                                                    • effect of pressure to respond on adaptation priority In a world with limited resources, a decision must be made on how to allocate the total resources between these two policies. At a highly aggregated scale, like the global perspective adopted here, mitigation and adaptation compete for resources (De Bruin et al., 2009; Klein et al., 2007; Tol, 2005). So when pressures are high, all effort is directed to adaptation, because the priority is to decrease the current pressures as rapidly as possible – “adaptation has immediate effects, and on a regional scale, adaptation actions have higher incentive and urgency than mitigation.” (Zhao et al., 2018, p. 86). When the pressures are lower and adaptation short-term solutions are not quite as urgent, more of this effort can be allocated to mitigation. In the base scenario, this function captures the relationship between perceived pressures and resource allocation for adaptation. Once perceived pressures exceed the resource allocation threshold, higher perceived pressures lead to greater resource allocation to adaptation as it addresses immediate needs and reduces these pressures. When perceived pressures are high, it is more likely that resources will be allocated to adaptation policies that provide immediate benefits. The function used to model this relationship is an increasing S-shaped curve, reflecting a slow initial allocation to adaptation that accelerates as perceived pressures increase.It is computed based on the procedure developed by Ríos‐Ocampo & Gary (2022). For more details on the meaning of each parameter, please refer to their work. Version of Generalized logistic equation computed with four parameters and reference points:A + ((K-A)/(1+((K-ry)/(ry-A))^((input-M)/(rx-M))))A minimumK maximumM inflection point input independent variablerx reference point x-axisry reference point y-axisWith input ‘perceived pressures’/’resources allocation threshold’ as input to the function.-The switch changes the base/real scenario function to a prototypical alternative one. In this alternative scenario, resource allocation remains stable over time (e.g., a consistent 50:50 allocation throughout the simulation). This switch is used to simulate scenarios in which humanity promptly reacts to perceived pressures by consistently allocating all available resources to one of the two policies (adaptation or technological mitigation).
                                                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                    Environment - Societal Responses Model #128
                                                                                                    A
                                                                                                    technological mitigation effort per year ($/Year)
                                                                                                    =
                                                                                                    effort taken against impact per year*(1- effect of pressure to respond on adaptation priority)
                                                                                                    Description: This variable calculates the annual effort allocated to technological mitigation by multiplying the actual resources humanity mobilises ('effort taken against impact per year') by the fraction of effort not allocated to adaptation. Although there is limited historical data on mitigation investment, useful proxies are available. For instance, Eurostat (2024) reports that private investment in mitigation in the EU amounts to approximately 0.55% of EU GDP. This suggests that total mitigation investment in 2020 is likely to have been of a similar order of magnitude, and potentially higher when including public investments. We use this estimate as an indicative reference point for model calibration.https:/ec.europa.eu/eurostat/statistics-explained/index.php?title=Investments_in_climate_change_mitigation(the trends overtime has similar modes of behaviour to the simulated output)
                                                                                                    Present In 1 View: Used By Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
                                                                                                    Environment - Societal Responses Model #129
                                                                                                    A
                                                                                                    technology effect (dmnl)
                                                                                                    =
                                                                                                    reference technology/ mitigation technology implemented
                                                                                                    Description: Technological improvements in mitigation reduce the flow of generated impacts (as seen in the IPAT equation). This variable represents this effect, where higher stock values of ‘Mitigation technology’ indicate greater system efficiency and lower impacts from affluence and population. Since the model is initialized at 1950 levels ('reference technology'), increasing 'mitigation technology implemented' reduces this variable proportionally. For instance, if the implemented mitigation technology is 2 (double the efficiency compared to 1950), the 'technology effect' will be 0.5, halving the 'impacts generation' flow.Note that technological mitigation not only includes technological improvement decreasing the impact generation per unit of consumption, but also enhancements in the sinks absorbing the impact generated (e.g., carbon capture and storage). However, confidence in the feasibility and desirability of these efforts remains low (Lane et al., 2021; Mackey et al., 2013; Rosa et al., 2020). Therefore, we primarily consider mitigation as technological improvements that reduce the generation of negative impacts without explicitly addressing the sinking component. Nevertheless, the insights gained in this work also apply in cases of increased 'sinks' capacity.
                                                                                                    Present In 1 View: Used By
                                                                                                    • impacts generation The current affluence-growth lifestyle is responsible for negative social and environmental impacts (Wiedmann et al., 2020). This flow captures the environmental impacts (e.g., GHG emissions, pollution) generated by the current enactment of lifestyles. It is computed by multiplying the number of people living a specific lifestyle (the stocks of ‘Population with high affluence lifestyle’ and ‘Population with low affluence lifestyle’) by the impact each lifestyle has on the global environment (captured in the variables ‘impact high affuence lifestyle’ and ‘impact low affluence lifestyle’) and by the current technological level (technology effect) that can potentially reduce the impacts if enhanced. This formulation is based on the established IPAT equation (Chertow, 2000; Ehrlich & Holdren, 1971; York et al., 2003): I=P*A*TWhere I is the impact of society on the environment, P is the population size, A is the level of affluence or level of consumption per person, and T is the available technology or the environmental impact for each unit of affluence.
                                                                                                    Feedback Loops: 2 (1.9%) (+) 1  [10,10] (-) 1  [11,11]
                                                                                                    Environment - Societal Responses Model #130
                                                                                                    A
                                                                                                    time effect (Year)
                                                                                                    = (
                                                                                                    Time- simulation start time)
                                                                                                    Description: This variable is calculated to represent the passage of time in the simulation, as affluence growth is dependent on time.
                                                                                                    Present In 1 View: Used By
                                                                                                    • affluence and population growth Affluence and population are assumed to grow over time in the model. This reflects empirical trends: GDP-commonly used as a proxy for affluence (Dietz & Rosa, 1994)-has historically increased, as has population, including in the Global North (UN data). These trends are also consistent with the observed increase in global CO₂ emissions (i.e., impacts) over time (Friedlingstein et al., 2023). This growth is computed by multiplying the time passing in the simulation (represented by the 'time effect' ranging from 0 to 150 as the simulation progresses from 1950 to 2100) by a 10% growth rate ('affluence growth multiplier') and adding this resulting value to 1. The outcome is a multiplier always greater than 1, which is then multiplied by the 'initial impact high affluence lifestyle' in the 'impact high affluence lifestyle' variable.
                                                                                                    Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                    Environment - Societal Responses Model #133
                                                                                                    A
                                                                                                    total actual effort ($/Year)
                                                                                                    =
                                                                                                    adaptation effort per year+ technological mitigation effort per year
                                                                                                    Description: Variable computing the total effort mobilised (adaptation + technological mitigation) in the simulation.
                                                                                                    Present In 1 View: Used By
                                                                                                      Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]
                                                                                                      Environment - Societal Responses Model #134
                                                                                                      A
                                                                                                      total attractiveness of all lifestyle (Attractiveness units)
                                                                                                      =
                                                                                                      attractiveness of low-affluence lifestyle+ attractiveness of high-affluence lifestyle
                                                                                                      Description: Variable calculating the toal attractivenss of all lifestyles in the system.
                                                                                                      Present In 1 View: Used By
                                                                                                      • relative attractiveness of high-afflluence lifestyle A specular variable to the 'relative attractiveness of low affluence lifestyle' (with oppositive and complementary values) represents the fractional attractiveness of the old high-affluence lifestyle compared to the new low-impact one. This value regulates the transition backflow.
                                                                                                      • relative attractiveness of low-affluence lifestyle Here, the 'attractiveness of low affluence lifestyle' is divided by the 'total attractiveness of all lifestyles,' yielding a fractional value that compares the attractiveness of the new low-affluence lifestyle with that of the old high-affluence lifestyle. This captures that when the new alternative lifestyle becomes more attractive, people are more inclined to transition from the old lifestyle and adopt the new one. Conversely the transition does not occur (or can be reversed) as long as the old lifestyle remains more attractive. Theory shows how people move from one regime to another, adopting new technologies or behaviours for reasons such as convenience, preference, desire, perceived benefits, or fitness with the environment (Arthur, 1989; Geels, 2020; Rogers, 1962)
                                                                                                      Feedback Loops: 56 (52.8%) (+) 26  [5,15] (-) 30  [5,15]
                                                                                                      Environment - Societal Responses Model #135
                                                                                                      A
                                                                                                      total population (dmnl)
                                                                                                      =
                                                                                                      Population with high-affluence lifestyle+ Population with low-affluence lifestyle
                                                                                                      Description: The total population is normalized to 100, representing the full population in percentage terms. It is defined as the sum of the two lifestyle stocks, which together always equal 100. As no external demographic processes affect population size in the model, total population remains constant. Thus, the model captures redistribution between lifestyle groups while the overall population is fixed.
                                                                                                      Present In 1 View: Used By
                                                                                                      • transition back to high-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                                      • transition to low-affluence lifestyle The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                                      Feedback Loops: 32 (30.2%) (+) 16  [3,14] (-) 16  [3,14]
                                                                                                      Environment - Societal Responses Model #138
                                                                                                      LI,F,A
                                                                                                      transition back to high-affluence lifestyle (dmnl/Year)
                                                                                                      = (
                                                                                                      transition back innovators fraction* Population with low-affluence lifestyle+ imitation coefficient transition back* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of high-afflluence lifestyle
                                                                                                      Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the old high-affluence state is composed of innovators (transition back innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition back), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of Old Lifestyle) and on the potential population remaining to transition back.Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                                      Present In 1 View: Used By
                                                                                                      • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                                                      • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                                                      Feedback Loops: 85 (80.2%) (+) 41  [2,15] (-) 44  [2,15]
                                                                                                      Environment - Societal Responses Model #140
                                                                                                      LI,F,A
                                                                                                      transition to low-affluence lifestyle (dmnl/Year)
                                                                                                      = (
                                                                                                      transition innovators fraction* Population with high-affluence lifestyle+ imitation coefficient transition* Population with low-affluence lifestyle* Population with high-affluence lifestyle/ total population)* relative attractiveness of low-affluence lifestyle
                                                                                                      Description: The transition flow rates between the two stocks captures the adoption of the different lifestyle behaviours. Specifically, the transition rate is built on the generalised Bass diffusion model (Bass et al., 1994), a formalisation of the theory of diffusion of innovations and novelties (Rogers, 1962). The generalised Bass diffusion model (Bass et al., 1994) expands the original Bass model (Bass, 1969) by including a preference function. In this case, the number of people adopting the new low-affluence state is composed of innovators (transition innovators fraction), i.e., people exploring novelties independently of others, and imitators (imitation coefficient transition), i.e., people who embrace novelties because of others, and depends on the preference for the new state compared to the old one (Relative Attractiveness of New Lifestyle) and on the potential population remaining to transition.Diffusion theory has been at the foundation of the study of sustainability transitions (Geels & Johnson, 2018; de Haan & Rotmans, 2011; Lenton et al., 2022), and the same formal models to depict transition patterns (Keith et al., 2020; Struben & Sterman, 2008).Note that we retained the original generalised diffusion model formulation by Bass. However, the model becomes undefined when the total population is 0 due to a division by 0. As expected, testing extreme parameters where the population is assumed to be 0 results in runtime errors. This issue could be resolved by using the ZIDZ (Zero-If-Divide-by-Zero) function in Vensim, but we chose to stick with the original model formulation for clarity and ease of interpretation by a broader audience. Instead, we tested the model using extreme values where the population is set to 1, avoiding the zero population case.Additionally, the flow remains robust even when imitation and innovation factors are increased unrealistically by a factor of 100. For even much larger values, runtime errors may occur, which could be addressed by using MIN and MAX functions (for implementation details and discussions on bass model robustness, see Sterman, 2000, Instructor Manual, p. 139-141). Nevertheless, we opted to stay as close as possible to the original model and found that the extreme values tested were sufficient to confirm the model’s robustness.
                                                                                                      Present In 1 View: Used By
                                                                                                      • Population with high-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a high-affluence and impact lifestyle.
                                                                                                      • Population with low-affluence lifestyle Given the conceptual nature of the model, we divided the total population into two categories: people with high-affluence and low-affluence lifestyles. This stock represents the % of population with a low-affluence and impact lifestyle.
                                                                                                      Feedback Loops: 79 (74.5%) (+) 38  [2,15] (-) 41  [2,15]
                                                                                                      .Control #144
                                                                                                      A
                                                                                                      SAVEPER (Year )
                                                                                                      =
                                                                                                      TIME STEP
                                                                                                      Description: The frequency with which output is stored.
                                                                                                      Present In 0 Views:
                                                                                                        Used By
                                                                                                          Feedback Loops: 0 (0.0%) (+) 0  [0,0] (-) 0  [0,0]




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                                                                                                          All Variables (141 Variables + 4 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Environment - Societal Responses ModelC A - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelA action trigger for behavioural mitigation (dmnl)
                                                                                                          Environment - Societal Responses ModelL Adaptation capacity (Impact units)
                                                                                                          Environment - Societal Responses ModelA adaptation capacity built per effort (Impact units/$)
                                                                                                          Environment - Societal Responses ModelLI,F,A adaptation capacity increase rate (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelA adaptation effort per year ($/Year)
                                                                                                          Environment - Societal Responses ModelSM,A adaptation implemented (Impact units)
                                                                                                          Environment - Societal Responses ModelA affluence and population growth (dmnl)
                                                                                                          Environment - Societal Responses ModelC affluence and population growth multiplier (dmnl/Year)
                                                                                                          Environment - Societal Responses ModelC alternative allocation to adaptation fraction (dmnl )
                                                                                                          Environment - Societal Responses ModelA attractiveness of high-affluence lifestyle (Attractiveness units)
                                                                                                          Environment - Societal Responses ModelA attractiveness of low-affluence lifestyle (Attractiveness units)
                                                                                                          Environment - Societal Responses ModelC behavioural mitigation threshold (dmnl )
                                                                                                          Environment - Societal Responses ModelC behavioural mitigation threshold rapid response (dmnl )
                                                                                                          Environment - Societal Responses ModelC C - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelA CO2 absorption (CO2 Gt/Year)
                                                                                                          Environment - Societal Responses ModelA CO2 emissions (CO2 Gt/Year)
                                                                                                          Environment - Societal Responses ModelC CO2 Gt converter (CO2 Gt/Impact units)
                                                                                                          Environment - Societal Responses ModelA CO2 ppm (CO2 ppm)
                                                                                                          Environment - Societal Responses ModelC constant returns in adaptation capacity built per effort (Impact units/$ )
                                                                                                          Environment - Societal Responses ModelC constant returns in mitigation technological development built per effort (dmnl/$ )
                                                                                                          Environment - Societal Responses ModelL Cumulative impacts (Impact units)
                                                                                                          Environment - Societal Responses ModelC cumulative impacts target level (Impact units)
                                                                                                          Environment - Societal Responses ModelC cumulative impacts to CO2ppm equivalent (CO2 ppm/Impact units)
                                                                                                          Environment - Societal Responses ModelA diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelA dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on effort (dmnl)
                                                                                                          Environment - Societal Responses ModelA effort taken against impact per year ($/Year)
                                                                                                          Environment - Societal Responses ModelA forced behavioural change threshold (dmnl)
                                                                                                          Environment - Societal Responses ModelA forced behavioural change trigger (dmnl)
                                                                                                          Environment - Societal Responses ModelC fractional consumption from high- to low-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC imitation coefficient transition (dmnl/Year)
                                                                                                          Environment - Societal Responses ModelC imitation coefficient transition back (dmnl/Year)
                                                                                                          Environment - Societal Responses ModelC impact population high affluence lifestyle in 2020 (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelA impact population high affuence lifestyle (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelA impact population low affluence lifestyle (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelLI,F,A impacts absorption (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelA impacts absorption time (Year)
                                                                                                          Environment - Societal Responses ModelLI,F,A impacts generation (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelC initial impact high affluence lifestyle per person (Impact units/Year/People)
                                                                                                          Environment - Societal Responses ModelLI,C initial Population with high-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelLI,C initial Population with low-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC lifestyle socio-technical regime effect (Attractiveness units/dmnl )
                                                                                                          Environment - Societal Responses ModelC M - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
                                                                                                          Environment - Societal Responses ModelC M - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelA M - effect of pressure perception on adaptation priority (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressure perception on adaptation priority for sensitivity analysis (dmnl)
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on effort - alternative scenario (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on effort - base scenario (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelA mitigation technlogical development per effort (dmnl/$)
                                                                                                          Environment - Societal Responses ModelL Mitigation technology (dmnl)
                                                                                                          Environment - Societal Responses ModelLI,F,A mitigation technology development rate (dmnl/Year)
                                                                                                          Environment - Societal Responses ModelDE,A mitigation technology implemented (dmnl)
                                                                                                          Environment - Societal Responses ModelC natural sinks degradation curve slope (dmnl/Impact units)
                                                                                                          Environment - Societal Responses ModelA natural sinks degradation due to cumulative impacts multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC natural sinks degradation due to cumulative impacts threshold (Impact units)
                                                                                                          Environment - Societal Responses ModelA perceived pressures - Cumulative impacts gap (Impact units)
                                                                                                          Environment - Societal Responses ModelA perceived pressures - socio-environmental consequences gap (Impact units)
                                                                                                          Environment - Societal Responses ModelC perception delay (Year)
                                                                                                          Environment - Societal Responses ModelC population 1950 (People)
                                                                                                          Environment - Societal Responses ModelL Population with high-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelL Population with low-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelA pressure to respond (perceived pressures) (dmnl)
                                                                                                          Environment - Societal Responses ModelC pressures to impact units converter (Impact units)
                                                                                                          Environment - Societal Responses ModelC pressures tolerance threshold (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC reference attractiveness low-affluence lifestyle (Attractiveness units )
                                                                                                          Environment - Societal Responses ModelC reference attractivness high-affluence lifestyle (Attractiveness units )
                                                                                                          Environment - Societal Responses ModelC reference impacts absorption time (Year)
                                                                                                          Environment - Societal Responses ModelC reference technology (dmnl)
                                                                                                          Environment - Societal Responses ModelA relative attractiveness of high-afflluence lifestyle (1)
                                                                                                          Environment - Societal Responses ModelA relative attractiveness of low-affluence lifestyle (1)
                                                                                                          Environment - Societal Responses ModelC resources allocation threshold (dmnl )
                                                                                                          Environment - Societal Responses ModelC rx - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
                                                                                                          Environment - Societal Responses ModelC rx - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC simulation start time (Year)
                                                                                                          Environment - Societal Responses ModelSM,A socio-environmental consequences (Impact units)
                                                                                                          Environment - Societal Responses ModelA SWT behavioural mitigation loop (dmnl)
                                                                                                          Environment - Societal Responses ModelC SWT diminishing returns in adaptation capacity built per effort (dmnl )
                                                                                                          Environment - Societal Responses ModelC SWT dimishing returns in mitigation technological development per effort (dmnl )
                                                                                                          Environment - Societal Responses ModelC SWT forced behavioural change loop (dmnl)
                                                                                                          Environment - Societal Responses ModelA SWT rapid behavioural response (dmnl)
                                                                                                          Environment - Societal Responses ModelA SWT to rapid response after perception (dmnl )
                                                                                                          Environment - Societal Responses ModelA SWT to static allocation rule (dmnl )
                                                                                                          Environment - Societal Responses ModelA technological mitigation effort per year ($/Year)
                                                                                                          Environment - Societal Responses ModelA technology effect (dmnl)
                                                                                                          Environment - Societal Responses ModelA time effect (Year)
                                                                                                          Environment - Societal Responses ModelC time to implement adaptation capacity (Year )
                                                                                                          Environment - Societal Responses ModelC time to implement mitigation technology (Year)
                                                                                                          Environment - Societal Responses ModelA total actual effort ($/Year)
                                                                                                          Environment - Societal Responses ModelA total attractiveness of all lifestyle (Attractiveness units)
                                                                                                          Environment - Societal Responses ModelA total population (dmnl)
                                                                                                          Environment - Societal Responses ModelC total potential effort per year ($/Year)
                                                                                                          Environment - Societal Responses ModelC transition back innovators fraction (dmnl/Year )
                                                                                                          Environment - Societal Responses ModelLI,F,A transition back to high-affluence lifestyle (dmnl/Year)
                                                                                                          Environment - Societal Responses ModelC transition innovators fraction (dmnl/Year )
                                                                                                          Environment - Societal Responses ModelLI,F,A transition to low-affluence lifestyle (dmnl/Year)
                                                                                                          .ControlC FINAL TIME (Year)
                                                                                                          .ControlC INITIAL TIME (Year)
                                                                                                          .ControlA SAVEPER (Year )
                                                                                                          .ControlC TIME STEP (Year )



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                                                                                                          Variable Link Detail (141 Variables + 4 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          In/Out Counts
                                                                                                           In/Out Ratio 
                                                                                                          In Links By Polarity
                                                                                                          Out Links By Polarity
                                                                                                          Environment - Societal Responses ModelInOutLinks effect of pressure to respond on effort (dmnl) 13 |  1  13.00   13| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (dmnl) 10 |  1  10.00    0| 0|10    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks effect of pressure to respond on adaptation priority (dmnl)  9 |  2  4.50    9| 0| 0    1| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks pressure to respond (perceived pressures) (dmnl)  3 |  7  0.43    1| 2| 0    4| 2| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (dmnl)  8 |  1  8.00    5| 1| 2    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (dmnl)  8 |  1  8.00    4| 2| 2    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks dimishing returns in mitigation technological development per effort multiplier (dmnl)  8 |  1  8.00    4| 2| 2    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks diminishing returns in adaptation capacity built per effort multiplier (dmnl)  8 |  1  8.00    3| 2| 3    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks transition to low-affluence lifestyle (dmnl/Year)  6 |  2  3.00    5| 1| 0    1| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks transition back to high-affluence lifestyle (dmnl/Year)  6 |  2  3.00    5| 1| 0    1| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks Population with low-affluence lifestyle (dmnl)  3 |  5  0.60    2| 1| 0    5| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks Population with high-affluence lifestyle (dmnl)  3 |  5  0.60    2| 1| 0    5| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks attractiveness of high-affluence lifestyle (Attractiveness units)  6 |  2  3.00    6| 0| 0    2| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks Cumulative impacts (Impact units)  2 |  5  0.40    1| 1| 0    5| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks impacts generation (Impact units/Year)  5 |  2  2.50    5| 0| 0    2| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks impacts absorption (Impact units/Year)  3 |  2  1.50    2| 1| 0    1| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks impact population high affuence lifestyle (Impact units/Year)  3 |  2  1.50    3| 0| 0    2| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks attractiveness of low-affluence lifestyle (Attractiveness units)  3 |  2  1.50    3| 0| 0    2| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks total population (dmnl)  2 |  2  1.00    2| 0| 0    0| 2| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks total attractiveness of all lifestyle (Attractiveness units)  2 |  2  1.00    2| 0| 0    0| 2| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks technological mitigation effort per year ($/Year)  2 |  2  1.00    1| 1| 0    2| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks socio-environmental consequences (Impact units)  2 |  2  1.00    2| 0| 0    2| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks natural sinks degradation due to cumulative impacts multiplier (dmnl)  3 |  1  3.00    1| 2| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks mitigation technlogical development per effort (dmnl/$)  3 |  1  3.00    2| 0| 1    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks impact population low affluence lifestyle (Impact units/Year)  3 |  1  3.00    3| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks effort taken against impact per year ($/Year)  2 |  2  1.00    2| 0| 0    2| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks adaptation effort per year ($/Year)  2 |  2  1.00    2| 0| 0    2| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks adaptation capacity built per effort (Impact units/$)  3 |  1  3.00    2| 0| 1    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks action trigger for behavioural mitigation (dmnl)  3 |  1  3.00    1| 2| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks Mitigation technology (dmnl)  1 |  2  0.50    1| 0| 0    1| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks Adaptation capacity (Impact units)  1 |  2  0.50    1| 0| 0    1| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks time effect (Year)  2 |  1  2.00    1| 1| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks technology effect (dmnl)  2 |  1  2.00    1| 1| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks relative attractiveness of low-affluence lifestyle (1)  2 |  1  2.00    1| 1| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks relative attractiveness of high-afflluence lifestyle (1)  2 |  1  2.00    1| 1| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks perceived pressures - socio-environmental consequences gap (Impact units)  3 |  0  Infinite    1| 2| 0    0| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks perceived pressures - Cumulative impacts gap (Impact units)  3 |  0  Infinite    1| 2| 0    0| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks mitigation technology implemented (dmnl)  2 |  1  2.00    0| 0| 2    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks mitigation technology development rate (dmnl/Year)  2 |  1  2.00    2| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks M - effect of pressure perception on adaptation priority (dmnl )  2 |  1  2.00    1| 0| 1    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks impacts absorption time (Year)  2 |  1  2.00    2| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks forced behavioural change trigger (dmnl)  2 |  1  2.00    1| 1| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks affluence and population growth (dmnl)  2 |  1  2.00    2| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks adaptation implemented (Impact units)  2 |  1  2.00    2| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks adaptation capacity increase rate (Impact units/Year)  2 |  1  2.00    2| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks total actual effort ($/Year)  2 |  0  Infinite    2| 0| 0    0| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks SWT to static allocation rule (dmnl )  1 |  1  1.00    0| 0| 1    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks SWT to rapid response after perception (dmnl )  1 |  1  1.00    0| 0| 1    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks SWT rapid behavioural response (dmnl)  1 |  1  1.00    0| 0| 1    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks SWT behavioural mitigation loop (dmnl)  1 |  1  1.00    0| 0| 1    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks resources allocation threshold (dmnl )  0 |  2  0.00    0| 0| 0    2| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks pressures to impact units converter (Impact units)  0 |  2  0.00    0| 0| 0    0| 2| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks lifestyle socio-technical regime effect (Attractiveness units/dmnl )  0 |  2  0.00    0| 0| 0    2| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks forced behavioural change threshold (dmnl)  1 |  1  1.00    1| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks CO2 ppm (CO2 ppm)  2 |  0  Infinite    2| 0| 0    0| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks CO2 Gt converter (CO2 Gt/Impact units)  0 |  2  0.00    0| 0| 0    2| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks CO2 emissions (CO2 Gt/Year)  2 |  0  Infinite    2| 0| 0    0| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks CO2 absorption (CO2 Gt/Year)  2 |  0  Infinite    2| 0| 0    0| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks transition innovators fraction (dmnl/Year )  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks transition back innovators fraction (dmnl/Year )  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks total potential effort per year ($/Year)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks time to implement mitigation technology (Year)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks time to implement adaptation capacity (Year )  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks SWT forced behavioural change loop (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks SWT dimishing returns in mitigation technological development per effort (dmnl )  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks SWT diminishing returns in adaptation capacity built per effort (dmnl )  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks simulation start time (Year)  0 |  1  0.00    0| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks ry - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks ry - effect of pressures perception on effort - base scenario (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks ry - effect of pressures perception on effort - alternative scenario (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks ry - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )  0 |  1  0.00    0| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks ry - effect of pressure perception on adaptation priority (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks ry - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks ry - diminishing returns in adaptation capacity built per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks rx - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks rx - effect of pressures perception on effort - base scenario (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks rx - effect of pressures perception on effort - alternative scenario (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks rx - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks rx - effect of pressure perception on adaptation priority (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks rx - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks rx - diminishing returns in adaptation capacity built per effort multiplier (Impact units )  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks reference technology (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks reference impacts absorption time (Year)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks reference attractivness high-affluence lifestyle (Attractiveness units )  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks reference attractiveness low-affluence lifestyle (Attractiveness units )  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks Q - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks Q - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks Q - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks Q - diminishing returns in adaptation capacity built per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks pressures tolerance threshold (dmnl)  0 |  1  0.00    0| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks population 1950 (People)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks perception delay (Year)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks natural sinks degradation due to cumulative impacts threshold (Impact units)  0 |  1  0.00    0| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks natural sinks degradation curve slope (dmnl/Impact units)  0 |  1  0.00    0| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks M - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks M - effect of pressures perception on effort - base scenario (dmnl )  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks M - effect of pressures perception on effort - alternative scenario (dmnl )  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks M - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl )  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks M - effect of pressure perception on adaptation priority for sensitivity analysis (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks M - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks M - diminishing returns in adaptation capacity built per effort multiplier (Impact units )  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks K - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks K - effect of pressures perception on effort - base scenario (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks K - effect of pressures perception on effort - alternative scenario (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks K - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks K - effect of pressure perception on adaptation priority (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks K - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks K - diminishing returns in adaptation capacity built per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks initial Population with low-affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks initial Population with high-affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks initial impact high affluence lifestyle per person (Impact units/Year/People)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks impact population high affluence lifestyle in 2020 (Impact units/Year)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks imitation coefficient transition (dmnl/Year)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks imitation coefficient transition back (dmnl/Year)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks fractional consumption from high- to low-affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks cumulative impacts to CO2ppm equivalent (CO2 ppm/Impact units)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks cumulative impacts target level (Impact units)  0 |  1  0.00    0| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks constant returns in mitigation technological development built per effort (dmnl/$ )  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks constant returns in adaptation capacity built per effort (Impact units/$ )  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks C - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks C - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks C - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks C - diminishing returns in adaptation capacity built per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks behavioural mitigation threshold (dmnl )  0 |  1  0.00    0| 0| 0    0| 1| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks behavioural mitigation threshold rapid response (dmnl )  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks alternative allocation to adaptation fraction (dmnl )  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks affluence and population growth multiplier (dmnl/Year)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks A - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks A - effect of pressures perception on effort - base scenario (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks A - effect of pressures perception on effort - alternative scenario (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks A - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks A - effect of pressure perception on adaptation priority (dmnl)  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          Environment - Societal Responses ModelInOutLinks A - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          Environment - Societal Responses ModelInOutLinks A - diminishing returns in adaptation capacity built per effort multiplier (dmnl)  0 |  1  0.00    0| 0| 0    0| 0| 1
                                                                                                          .ControlInOutLinks TIME STEP (Year )  0 |  1  0.00    0| 0| 0    1| 0| 0
                                                                                                          .ControlInOutLinks SAVEPER (Year )  1 |  0  Infinite    1| 0| 0    0| 0| 0
                                                                                                          .ControlInOutLinks INITIAL TIME (Year) ( 0| 0)  Infinite    0| 0| 0    0| 0| 0
                                                                                                          .ControlInOutLinks FINAL TIME (Year) ( 0| 0)  Infinite    0| 0| 0    0| 0| 0


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                                                                                                          Undocumented Variables (0 Variables + 0 Control Variables)

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                                                                                                          Supplementary Variables (0 Variables + 0 Control Variables)

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                                                                                                          Supplementary Variables Being Used (0 Variables + 0 Control Variables)

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                                                                                                          Unused Variables (6 Variables + 0 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Environment - Societal Responses ModelA CO2 absorption (CO2 Gt/Year)
                                                                                                          Environment - Societal Responses ModelA CO2 emissions (CO2 Gt/Year)
                                                                                                          Environment - Societal Responses ModelA CO2 ppm (CO2 ppm)
                                                                                                          Environment - Societal Responses ModelA perceived pressures - Cumulative impacts gap (Impact units)
                                                                                                          Environment - Societal Responses ModelA perceived pressures - socio-environmental consequences gap (Impact units)
                                                                                                          Environment - Societal Responses ModelA total actual effort ($/Year)



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                                                                                                          Equations With Embedded Data (6 Variables + 0 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Environment - Societal Responses ModelA forced behavioural change threshold (dmnl)
                                                                                                          Environment - Societal Responses ModelA M - effect of pressure perception on adaptation priority (dmnl )
                                                                                                          Environment - Societal Responses ModelA SWT behavioural mitigation loop (dmnl)
                                                                                                          Environment - Societal Responses ModelA SWT rapid behavioural response (dmnl)
                                                                                                          Environment - Societal Responses ModelA SWT to rapid response after perception (dmnl )
                                                                                                          Environment - Societal Responses ModelA SWT to static allocation rule (dmnl )



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                                                                                                          Nonmonotonic Lookup Functions (0 Variables + 0 Control Variables)

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                                                                                                          Type
                                                                                                          Variable



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                                                                                                          Non-Zero End Sloped Lookup Functions (0 Variables + 0 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Non-Zero


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                                                                                                          Cascading Lookup Functions (0 Variables + 0 Control Variables)

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                                                                                                          Variable



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                                                                                                          Equations With Step Pulse Or Related Functions (0 Variables + 0 Control Variables)

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                                                                                                          Equations With If Then Else Functions (7 Variables + 0 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Environment - Societal Responses ModelA adaptation capacity built per effort (Impact units/$)
                                                                                                          Environment - Societal Responses ModelA M - effect of pressure perception on adaptation priority (dmnl )
                                                                                                          Environment - Societal Responses ModelA mitigation technlogical development per effort (dmnl/$)
                                                                                                          Environment - Societal Responses ModelA SWT behavioural mitigation loop (dmnl)
                                                                                                          Environment - Societal Responses ModelA SWT rapid behavioural response (dmnl)
                                                                                                          Environment - Societal Responses ModelA SWT to rapid response after perception (dmnl )
                                                                                                          Environment - Societal Responses ModelA SWT to static allocation rule (dmnl )



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                                                                                                          Equations With Min Or Max Functions (3 Variables + 0 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Environment - Societal Responses ModelA impact population low affluence lifestyle (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelLI,F,A impacts absorption (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelA natural sinks degradation due to cumulative impacts multiplier (dmnl)



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                                                                                                          Complex Variable (Richardson's Rule Threshold = 3) (11 Variables + 0 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Complexity
                                                                                                          Environment - Societal Responses ModelComplexity impacts generation (Impact units/Year)5
                                                                                                          Environment - Societal Responses ModelComplexity attractiveness of high-affluence lifestyle (Attractiveness units)6
                                                                                                          Environment - Societal Responses ModelComplexity transition back to high-affluence lifestyle (dmnl/Year)6
                                                                                                          Environment - Societal Responses ModelComplexity transition to low-affluence lifestyle (dmnl/Year)6
                                                                                                          Environment - Societal Responses ModelComplexity diminishing returns in adaptation capacity built per effort multiplier (dmnl)8
                                                                                                          Environment - Societal Responses ModelComplexity dimishing returns in mitigation technological development per effort multiplier (dmnl)8
                                                                                                          Environment - Societal Responses ModelComplexity effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (dmnl)8
                                                                                                          Environment - Societal Responses ModelComplexity effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (dmnl)8
                                                                                                          Environment - Societal Responses ModelComplexity effect of pressure to respond on adaptation priority (dmnl)9
                                                                                                          Environment - Societal Responses ModelComplexity effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (dmnl)11
                                                                                                          Environment - Societal Responses ModelComplexity effect of pressure to respond on effort (dmnl)13


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                                                                                                          Complex Stock (0 Variables + 0 Control Variables)

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                                                                                                          Variable



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                                                                                                          Variables With Source Information (0 Variables + 0 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Sources


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                                                                                                          Variables With Dimensionless Units (86 Variables + 0 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Environment - Societal Responses ModelC A - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelA action trigger for behavioural mitigation (dmnl)
                                                                                                          Environment - Societal Responses ModelA affluence and population growth (dmnl)
                                                                                                          Environment - Societal Responses ModelC alternative allocation to adaptation fraction (dmnl )
                                                                                                          Environment - Societal Responses ModelC behavioural mitigation threshold (dmnl )
                                                                                                          Environment - Societal Responses ModelC behavioural mitigation threshold rapid response (dmnl )
                                                                                                          Environment - Societal Responses ModelC C - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelA diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelA dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on effort (dmnl)
                                                                                                          Environment - Societal Responses ModelA forced behavioural change threshold (dmnl)
                                                                                                          Environment - Societal Responses ModelA forced behavioural change trigger (dmnl)
                                                                                                          Environment - Societal Responses ModelC fractional consumption from high- to low-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelLI,C initial Population with high-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelLI,C initial Population with low-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC M - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelA M - effect of pressure perception on adaptation priority (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressure perception on adaptation priority for sensitivity analysis (dmnl)
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on effort - alternative scenario (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on effort - base scenario (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelL Mitigation technology (dmnl)
                                                                                                          Environment - Societal Responses ModelDE,A mitigation technology implemented (dmnl)
                                                                                                          Environment - Societal Responses ModelA natural sinks degradation due to cumulative impacts multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelL Population with high-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelL Population with low-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelA pressure to respond (perceived pressures) (dmnl)
                                                                                                          Environment - Societal Responses ModelC pressures tolerance threshold (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC reference technology (dmnl)
                                                                                                          Environment - Societal Responses ModelA relative attractiveness of high-afflluence lifestyle (1)
                                                                                                          Environment - Societal Responses ModelA relative attractiveness of low-affluence lifestyle (1)
                                                                                                          Environment - Societal Responses ModelC resources allocation threshold (dmnl )
                                                                                                          Environment - Societal Responses ModelC rx - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelA SWT behavioural mitigation loop (dmnl)
                                                                                                          Environment - Societal Responses ModelC SWT diminishing returns in adaptation capacity built per effort (dmnl )
                                                                                                          Environment - Societal Responses ModelC SWT dimishing returns in mitigation technological development per effort (dmnl )
                                                                                                          Environment - Societal Responses ModelC SWT forced behavioural change loop (dmnl)
                                                                                                          Environment - Societal Responses ModelA SWT rapid behavioural response (dmnl)
                                                                                                          Environment - Societal Responses ModelA SWT to rapid response after perception (dmnl )
                                                                                                          Environment - Societal Responses ModelA SWT to static allocation rule (dmnl )
                                                                                                          Environment - Societal Responses ModelA technology effect (dmnl)
                                                                                                          Environment - Societal Responses ModelA total population (dmnl)



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                                                                                                          Variables without Predefined Min or Max Values (141 Variables + 4 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Environment - Societal Responses ModelC A - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC A - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelA action trigger for behavioural mitigation (dmnl)
                                                                                                          Environment - Societal Responses ModelL Adaptation capacity (Impact units)
                                                                                                          Environment - Societal Responses ModelA adaptation capacity built per effort (Impact units/$)
                                                                                                          Environment - Societal Responses ModelLI,F,A adaptation capacity increase rate (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelA adaptation effort per year ($/Year)
                                                                                                          Environment - Societal Responses ModelSM,A adaptation implemented (Impact units)
                                                                                                          Environment - Societal Responses ModelA affluence and population growth (dmnl)
                                                                                                          Environment - Societal Responses ModelC affluence and population growth multiplier (dmnl/Year)
                                                                                                          Environment - Societal Responses ModelC alternative allocation to adaptation fraction (dmnl )
                                                                                                          Environment - Societal Responses ModelA attractiveness of high-affluence lifestyle (Attractiveness units)
                                                                                                          Environment - Societal Responses ModelA attractiveness of low-affluence lifestyle (Attractiveness units)
                                                                                                          Environment - Societal Responses ModelC behavioural mitigation threshold (dmnl )
                                                                                                          Environment - Societal Responses ModelC behavioural mitigation threshold rapid response (dmnl )
                                                                                                          Environment - Societal Responses ModelC C - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC C - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelA CO2 absorption (CO2 Gt/Year)
                                                                                                          Environment - Societal Responses ModelA CO2 emissions (CO2 Gt/Year)
                                                                                                          Environment - Societal Responses ModelC CO2 Gt converter (CO2 Gt/Impact units)
                                                                                                          Environment - Societal Responses ModelA CO2 ppm (CO2 ppm)
                                                                                                          Environment - Societal Responses ModelC constant returns in adaptation capacity built per effort (Impact units/$ )
                                                                                                          Environment - Societal Responses ModelC constant returns in mitigation technological development built per effort (dmnl/$ )
                                                                                                          Environment - Societal Responses ModelL Cumulative impacts (Impact units)
                                                                                                          Environment - Societal Responses ModelC cumulative impacts target level (Impact units)
                                                                                                          Environment - Societal Responses ModelC cumulative impacts to CO2ppm equivalent (CO2 ppm/Impact units)
                                                                                                          Environment - Societal Responses ModelA diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelA dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (dmnl)
                                                                                                          Environment - Societal Responses ModelA effect of pressure to respond on effort (dmnl)
                                                                                                          Environment - Societal Responses ModelA effort taken against impact per year ($/Year)
                                                                                                          Environment - Societal Responses ModelA forced behavioural change threshold (dmnl)
                                                                                                          Environment - Societal Responses ModelA forced behavioural change trigger (dmnl)
                                                                                                          Environment - Societal Responses ModelC fractional consumption from high- to low-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC imitation coefficient transition (dmnl/Year)
                                                                                                          Environment - Societal Responses ModelC imitation coefficient transition back (dmnl/Year)
                                                                                                          Environment - Societal Responses ModelC impact population high affluence lifestyle in 2020 (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelA impact population high affuence lifestyle (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelA impact population low affluence lifestyle (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelLI,F,A impacts absorption (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelA impacts absorption time (Year)
                                                                                                          Environment - Societal Responses ModelLI,F,A impacts generation (Impact units/Year)
                                                                                                          Environment - Societal Responses ModelC initial impact high affluence lifestyle per person (Impact units/Year/People)
                                                                                                          Environment - Societal Responses ModelLI,C initial Population with high-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelLI,C initial Population with low-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC K - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC lifestyle socio-technical regime effect (Attractiveness units/dmnl )
                                                                                                          Environment - Societal Responses ModelC M - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
                                                                                                          Environment - Societal Responses ModelC M - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelA M - effect of pressure perception on adaptation priority (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressure perception on adaptation priority for sensitivity analysis (dmnl)
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on effort - alternative scenario (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - effect of pressures perception on effort - base scenario (dmnl )
                                                                                                          Environment - Societal Responses ModelC M - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelA mitigation technlogical development per effort (dmnl/$)
                                                                                                          Environment - Societal Responses ModelL Mitigation technology (dmnl)
                                                                                                          Environment - Societal Responses ModelLI,F,A mitigation technology development rate (dmnl/Year)
                                                                                                          Environment - Societal Responses ModelDE,A mitigation technology implemented (dmnl)
                                                                                                          Environment - Societal Responses ModelC natural sinks degradation curve slope (dmnl/Impact units)
                                                                                                          Environment - Societal Responses ModelA natural sinks degradation due to cumulative impacts multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC natural sinks degradation due to cumulative impacts threshold (Impact units)
                                                                                                          Environment - Societal Responses ModelA perceived pressures - Cumulative impacts gap (Impact units)
                                                                                                          Environment - Societal Responses ModelA perceived pressures - socio-environmental consequences gap (Impact units)
                                                                                                          Environment - Societal Responses ModelC perception delay (Year)
                                                                                                          Environment - Societal Responses ModelC population 1950 (People)
                                                                                                          Environment - Societal Responses ModelL Population with high-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelL Population with low-affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelA pressure to respond (perceived pressures) (dmnl)
                                                                                                          Environment - Societal Responses ModelC pressures to impact units converter (Impact units)
                                                                                                          Environment - Societal Responses ModelC pressures tolerance threshold (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC Q - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC reference attractiveness low-affluence lifestyle (Attractiveness units )
                                                                                                          Environment - Societal Responses ModelC reference attractivness high-affluence lifestyle (Attractiveness units )
                                                                                                          Environment - Societal Responses ModelC reference impacts absorption time (Year)
                                                                                                          Environment - Societal Responses ModelC reference technology (dmnl)
                                                                                                          Environment - Societal Responses ModelA relative attractiveness of high-afflluence lifestyle (1)
                                                                                                          Environment - Societal Responses ModelA relative attractiveness of low-affluence lifestyle (1)
                                                                                                          Environment - Societal Responses ModelC resources allocation threshold (dmnl )
                                                                                                          Environment - Societal Responses ModelC rx - diminishing returns in adaptation capacity built per effort multiplier (Impact units )
                                                                                                          Environment - Societal Responses ModelC rx - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC rx - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - diminishing returns in adaptation capacity built per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - dimishing returns in mitigation technological development per effort multiplier (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressure perception on adaptation priority (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressures perception on effort - alternative scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - effect of pressures perception on effort - base scenario (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)
                                                                                                          Environment - Societal Responses ModelC ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)
                                                                                                          Environment - Societal Responses ModelC simulation start time (Year)
                                                                                                          Environment - Societal Responses ModelSM,A socio-environmental consequences (Impact units)
                                                                                                          Environment - Societal Responses ModelA SWT behavioural mitigation loop (dmnl)
                                                                                                          Environment - Societal Responses ModelC SWT diminishing returns in adaptation capacity built per effort (dmnl )
                                                                                                          Environment - Societal Responses ModelC SWT dimishing returns in mitigation technological development per effort (dmnl )
                                                                                                          Environment - Societal Responses ModelC SWT forced behavioural change loop (dmnl)
                                                                                                          Environment - Societal Responses ModelA SWT rapid behavioural response (dmnl)
                                                                                                          Environment - Societal Responses ModelA SWT to rapid response after perception (dmnl )
                                                                                                          Environment - Societal Responses ModelA SWT to static allocation rule (dmnl )
                                                                                                          Environment - Societal Responses ModelA technological mitigation effort per year ($/Year)
                                                                                                          Environment - Societal Responses ModelA technology effect (dmnl)
                                                                                                          Environment - Societal Responses ModelA time effect (Year)
                                                                                                          Environment - Societal Responses ModelC time to implement adaptation capacity (Year )
                                                                                                          Environment - Societal Responses ModelC time to implement mitigation technology (Year)
                                                                                                          Environment - Societal Responses ModelA total actual effort ($/Year)
                                                                                                          Environment - Societal Responses ModelA total attractiveness of all lifestyle (Attractiveness units)
                                                                                                          Environment - Societal Responses ModelA total population (dmnl)
                                                                                                          Environment - Societal Responses ModelC total potential effort per year ($/Year)
                                                                                                          Environment - Societal Responses ModelC transition back innovators fraction (dmnl/Year )
                                                                                                          Environment - Societal Responses ModelLI,F,A transition back to high-affluence lifestyle (dmnl/Year)
                                                                                                          Environment - Societal Responses ModelC transition innovators fraction (dmnl/Year )
                                                                                                          Environment - Societal Responses ModelLI,F,A transition to low-affluence lifestyle (dmnl/Year)
                                                                                                          .ControlC FINAL TIME (Year)
                                                                                                          .ControlC INITIAL TIME (Year)
                                                                                                          .ControlA SAVEPER (Year )
                                                                                                          .ControlC TIME STEP (Year )



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                                                                                                          Function Sensitivity Parameters (0 Variables + 0 Control Variables)

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                                                                                                          Variable



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                                                                                                          Data Lookup Tables (0 Variables + 0 Control Variables)

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                                                                                                          Variables Using Macros (0 Variables + 0 Control Variables)

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                                                                                                          Variables Not In Any View (0 Variables + 4 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          .ControlC FINAL TIME (Year)
                                                                                                          .ControlC INITIAL TIME (Year)
                                                                                                          .ControlA SAVEPER (Year )
                                                                                                          .ControlC TIME STEP (Year )



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                                                                                                          Equations With Unit Errors Or Warnings (0 Variables + 0 Control Variables)

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                                                                                                          Type
                                                                                                          Variable
                                                                                                          Units


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                                                                                                          Equations Using Time As A Variable (6 Variables + 0 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Equation
                                                                                                          Environment - Societal Responses ModelEquation M - effect of pressure perception on adaptation priority (dmnl )"M - effect of pressure perception on adaptation priority"=IF THEN ELSE(Time>=2026, "M - effect of pressure perception on adaptation priority for sensitivity analysis" , "M - effect of pressure perception on adaptation priority for sensitivity analysis" )
                                                                                                          Environment - Societal Responses ModelEquation SWT behavioural mitigation loop (dmnl)SWT behavioural mitigation loop=IF THEN ELSE(Time>=2026, 1 , 1 )*1+IF THEN ELSE(Time>=2026, 1000 , 1 )*0
                                                                                                          Environment - Societal Responses ModelEquation SWT rapid behavioural response (dmnl)SWT rapid behavioural response=IF THEN ELSE(Time>=2026, 0 , 0 )
                                                                                                          Environment - Societal Responses ModelEquation SWT to rapid response after perception (dmnl )SWT to rapid response after perception=IF THEN ELSE(Time>=2026, 0 , 0 )
                                                                                                          Environment - Societal Responses ModelEquation SWT to static allocation rule (dmnl )SWT to static allocation rule=IF THEN ELSE(Time>=2026, 0 , 0 )
                                                                                                          Environment - Societal Responses ModelEquation time effect (Year)time effect=(Time-simulation start time)


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                                                                                                          Units (9 Basic/7 Combined)

                                                                                                          Units
                                                                                                          Type
                                                                                                          Alternates
                                                                                                          1/$ Basic [dmnl/$]
                                                                                                          1/Impact units Basic [dmnl/Impact units]
                                                                                                          1/Years Basic [dmnl/Year]
                                                                                                          Attractiveness units Basic [Attractiveness units/dmnl]
                                                                                                          CO2 ppm Basic
                                                                                                          Dmnl Basic [1, dmnl]
                                                                                                          Impact units Basic
                                                                                                          People Basic
                                                                                                          Years Basic [Year]
                                                                                                          $/Years Combined [$/Year]
                                                                                                          CO2 Gt/Impact units Combined
                                                                                                          CO2 Gt/Years Combined [CO2 Gt/Year]
                                                                                                          CO2 ppm/Impact units Combined
                                                                                                          Impact units/$ Combined
                                                                                                          Impact units/Years Combined [Impact units/Year]
                                                                                                          Impact units/Years*People Combined [Impact units/Year/People]



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                                                                                                          Units Variables (16 Units)

                                                                                                          Units
                                                                                                          Variables
                                                                                                          $/Years
                                                                                                          adaptation effort per yeareffort taken against impact per yeartechnological mitigation effort per yeartotal actual efforttotal potential effort per year 
                                                                                                          1/$
                                                                                                          constant returns in mitigation technological development built per effortmitigation technlogical development per effort 
                                                                                                          1/Impact units
                                                                                                          natural sinks degradation curve slope 
                                                                                                          1/Years
                                                                                                          affluence and population growth multiplierimitation coefficient transitionimitation coefficient transition backmitigation technology development ratetransition back innovators fractiontransition back to high-affluence lifestyle
                                                                                                          transition innovators fractiontransition to low-affluence lifestyle 
                                                                                                          Attractiveness units
                                                                                                          attractiveness of high-affluence lifestyleattractiveness of low-affluence lifestylelifestyle socio-technical regime effectreference attractiveness low-affluence lifestylereference attractivness high-affluence lifestyletotal attractiveness of all lifestyle 
                                                                                                          CO2 Gt/Impact units
                                                                                                          CO2 Gt converter 
                                                                                                          CO2 Gt/Years
                                                                                                          CO2 absorptionCO2 emissions 
                                                                                                          CO2 ppm
                                                                                                          CO2 ppm 
                                                                                                          CO2 ppm/Impact units
                                                                                                          cumulative impacts to CO2ppm equivalent 
                                                                                                          Dmnl
                                                                                                          A - diminishing returns in adaptation capacity built per effort multiplierA - dimishing returns in mitigation technological development per effort multiplierA - effect of pressure perception on adaptation priorityA - effect of pressures perception on attractivenss of high affluence lifestyleA - effect of pressures perception on attractivenss of high affluence lifestyle - rapid responseA - effect of pressures perception on effort - alternative scenario
                                                                                                          A - effect of pressures perception on effort - base scenarioA - forced effect of pressure perception attractiveness of high affluence lifestyleaction trigger for behavioural mitigationaffluence and population growthalternative allocation to adaptation fractionbehavioural mitigation threshold
                                                                                                          behavioural mitigation threshold rapid responseC - diminishing returns in adaptation capacity built per effort multiplierC - dimishing returns in mitigation technological development per effort multiplierC - effect of pressures perception on attractivenss of high affluence lifestyleC - effect of pressures perception on attractivenss of high affluence lifestyle - rapid responseC - forced effect of pressure perception attractiveness of high affluence lifestyle
                                                                                                          diminishing returns in adaptation capacity built per effort multiplierdimishing returns in mitigation technological development per effort multipliereffect of pressure to respond on adaptation priorityeffect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigationeffect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseeffect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change
                                                                                                          effect of pressure to respond on effortforced behavioural change thresholdforced behavioural change triggerfractional consumption from high- to low-affluence lifestyleinitial Population with high-affluence lifestyleinitial Population with low-affluence lifestyle
                                                                                                          K - diminishing returns in adaptation capacity built per effort multiplierK - dimishing returns in mitigation technological development per effort multiplierK - effect of pressure perception on adaptation priorityK - effect of pressures perception on attractivenss of high affluence lifestyleK - effect of pressures perception on attractivenss of high affluence lifestyle - rapid responseK - effect of pressures perception on effort - alternative scenario
                                                                                                          K - effect of pressures perception on effort - base scenarioK - forced effect of pressure perception attractiveness of high affluence lifestyleM - dimishing returns in mitigation technological development per effort multiplierM - effect of pressure perception on adaptation priorityM - effect of pressure perception on adaptation priority for sensitivity analysisM - effect of pressures perception on attractivenss of high affluence lifestyle
                                                                                                          M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid responseM - effect of pressures perception on effort - alternative scenarioM - effect of pressures perception on effort - base scenarioM - forced effect of pressure perception attractiveness of high affluence lifestyleMitigation technologymitigation technology implemented
                                                                                                          natural sinks degradation due to cumulative impacts multiplierPopulation with high-affluence lifestylePopulation with low-affluence lifestylepressure to respond (perceived pressures)pressures tolerance thresholdQ - diminishing returns in adaptation capacity built per effort multiplier
                                                                                                          Q - dimishing returns in mitigation technological development per effort multiplierQ - effect of pressures perception on attractivenss of high affluence lifestyleQ - effect of pressures perception on attractivenss of high affluence lifestyle - rapid responseQ - forced effect of pressure perception attractiveness of high affluence lifestylereference technologyrelative attractiveness of high-afflluence lifestyle
                                                                                                          relative attractiveness of low-affluence lifestyleresources allocation thresholdrx - dimishing returns in mitigation technological development per effort multiplierrx - effect of pressure perception on adaptation priorityrx - effect of pressures perception on attractivenss of high affluence lifestylerx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response
                                                                                                          rx - effect of pressures perception on effort - alternative scenariorx - effect of pressures perception on effort - base scenariorx - forced effect of pressure perception attractiveness of high affluence lifestylery - diminishing returns in adaptation capacity built per effort multiplierry - dimishing returns in mitigation technological development per effort multiplierry - effect of pressure perception on adaptation priority
                                                                                                          ry - effect of pressures perception on attractivenss of high affluence lifestylery - effect of pressures perception on effort - alternative scenariory - effect of pressures perception on effort - base scenariory - forced effect of pressure perception attractiveness of high affluence lifestylery -effect of pressures perception on attractivenss of high affluence lifestyle - rapid responseSWT behavioural mitigation loop
                                                                                                          SWT diminishing returns in adaptation capacity built per effortSWT dimishing returns in mitigation technological development per effortSWT forced behavioural change loopSWT rapid behavioural responseSWT to rapid response after perceptionSWT to static allocation rule
                                                                                                          technology effecttotal population 
                                                                                                          Impact units
                                                                                                          Adaptation capacityadaptation implementedCumulative impactscumulative impacts target levelM - diminishing returns in adaptation capacity built per effort multipliernatural sinks degradation due to cumulative impacts threshold
                                                                                                          perceived pressures - Cumulative impacts gapperceived pressures - socio-environmental consequences gappressures to impact units converterrx - diminishing returns in adaptation capacity built per effort multipliersocio-environmental consequences 
                                                                                                          Impact units/$
                                                                                                          adaptation capacity built per effortconstant returns in adaptation capacity built per effort 
                                                                                                          Impact units/Years
                                                                                                          adaptation capacity increase rateimpact population high affluence lifestyle in 2020impact population high affuence lifestyleimpact population low affluence lifestyleimpacts absorptionimpacts generation 
                                                                                                          Impact units/Years*People
                                                                                                          initial impact high affluence lifestyle per person 
                                                                                                          People
                                                                                                          population 1950 
                                                                                                          Years
                                                                                                          FINAL TIMEimpacts absorption timeINITIAL TIMEperception delayreference impacts absorption timeSAVEPER
                                                                                                          simulation start timeTimetime effectTIME STEPtime to implement adaptation capacitytime to implement mitigation technology 



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                                                                                                          Feedback Loops (106|0 Loops ) Maximum Loop Length: 45 [2,15] | [0,0]

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Loops
                                                                                                           + 
                                                                                                           - 
                                                                                                           +/- Ratio 
                                                                                                           ? 
                                                                                                          Loops (IVV)
                                                                                                           + 
                                                                                                           - 
                                                                                                           +/- Ratio 
                                                                                                           ? 
                                                                                                          Environment - Societal Responses ModelFeedback... transition back to high-affluence lifestyle (dmnl/Year) 85 (80.2%) 41 [  2, 15] 44 [  2, 15]0.93  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... Population with high-affluence lifestyle (dmnl) 82 (77.4%) 40 [  2, 15] 42 [  2, 15]0.95  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... Population with low-affluence lifestyle (dmnl) 82 (77.4%) 39 [  2, 15] 43 [  2, 15]0.91  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... transition to low-affluence lifestyle (dmnl/Year) 79 (74.5%) 38 [  2, 15] 41 [  2, 15]0.93  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... attractiveness of high-affluence lifestyle (Attractiveness units) 75 (70.8%) 37 [  4, 15] 38 [  5, 15]0.97  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... pressure to respond (perceived pressures) (dmnl) 67 (63.2%) 32 [  9, 15] 35 [  6, 15]0.91  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... Cumulative impacts (Impact units) 67 (63.2%) 32 [  9, 15] 35 [  2, 15]0.91  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... impacts generation (Impact units/Year) 65 (61.3%) 32 [  9, 15] 33 [  9, 15]0.97  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... socio-environmental consequences (Impact units) 65 (61.3%) 32 [  9, 15] 33 [  9, 15]0.97  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... relative attractiveness of high-afflluence lifestyle (1) 57 (53.8%) 28 [  4, 15] 29 [  5, 15]0.97  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... total attractiveness of all lifestyle (Attractiveness units) 56 (52.8%) 26 [  5, 15] 30 [  5, 15]0.87  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... relative attractiveness of low-affluence lifestyle (1) 39 (36.8%) 19 [  4, 15] 20 [  5, 15]0.95  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... total population (dmnl) 32 (30.2%) 16 [  3, 14] 16 [  3, 14]1.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... action trigger for behavioural mitigation (dmnl) 21 (19.8%) 11 [ 10, 15] 10 [ 10, 14]1.10  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... attractiveness of low-affluence lifestyle (Attractiveness units) 21 (19.8%) 10 [  4, 15] 11 [  5, 15]0.91  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (dmnl) 21 (19.8%) 10 [  9, 13] 11 [  9, 14]0.91  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (dmnl) 21 (19.8%) 11 [ 10, 15] 10 [ 10, 14]1.10  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (dmnl) 21 (19.8%) 10 [ 10, 14] 11 [ 10, 15]0.91  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... forced behavioural change trigger (dmnl) 21 (19.8%) 10 [ 10, 14] 11 [ 10, 15]0.91  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... adaptation capacity increase rate (Impact units/Year)  3 (2.8%)  0 [  0,  0]  3 [  4,  7]0.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... mitigation technology development rate (dmnl/Year)  3 (2.8%)  2 [  4, 10]  1 [ 11, 11]2.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... Adaptation capacity (Impact units)  3 (2.8%)  0 [  0,  0]  3 [  4,  7]0.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... Mitigation technology (dmnl)  3 (2.8%)  2 [  4, 10]  1 [ 11, 11]2.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... adaptation effort per year ($/Year)  2 (1.9%)  0 [  0,  0]  2 [  6,  7]0.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... adaptation implemented (Impact units)  2 (1.9%)  0 [  0,  0]  2 [  6,  7]0.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... effect of pressure to respond on adaptation priority (dmnl)  2 (1.9%)  1 [ 10, 10]  1 [  6,  6]1.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... effect of pressure to respond on effort (dmnl)  2 (1.9%)  0 [  0,  0]  2 [  7, 11]0.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... effort taken against impact per year ($/Year)  2 (1.9%)  0 [  0,  0]  2 [  7, 11]0.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... impacts absorption (Impact units/Year)  2 (1.9%)  0 [  0,  0]  2 [  2,  4]0.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... mitigation technology implemented (dmnl)  2 (1.9%)  1 [ 10, 10]  1 [ 11, 11]1.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... technological mitigation effort per year ($/Year)  2 (1.9%)  1 [ 10, 10]  1 [ 11, 11]1.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... technology effect (dmnl)  2 (1.9%)  1 [ 10, 10]  1 [ 11, 11]1.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... adaptation capacity built per effort (Impact units/$)  1 (0.9%)  0 [  0,  0]  1 [  4,  4]0.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... diminishing returns in adaptation capacity built per effort multiplier (dmnl)  1 (0.9%)  0 [  0,  0]  1 [  4,  4]0.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... dimishing returns in mitigation technological development per effort multiplier (dmnl)  1 (0.9%)  1 [  4,  4]  0 [  0,  0]Infinite  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... impacts absorption time (Year)  1 (0.9%)  0 [  0,  0]  1 [  4,  4]0.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... mitigation technlogical development per effort (dmnl/$)  1 (0.9%)  1 [  4,  4]  0 [  0,  0]Infinite  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... natural sinks degradation due to cumulative impacts multiplier (dmnl)  1 (0.9%)  0 [  0,  0]  1 [  4,  4]0.00  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... A - diminishing returns in adaptation capacity built per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... A - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... A - effect of pressure perception on adaptation priority (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... A - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... A - effect of pressures perception on effort - alternative scenario (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... A - effect of pressures perception on effort - base scenario (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... A - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... affluence and population growth multiplier (dmnl/Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... affluence and population growth (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... alternative allocation to adaptation fraction (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... behavioural mitigation threshold rapid response (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... behavioural mitigation threshold (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... C - diminishing returns in adaptation capacity built per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... C - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... C - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... C - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... CO2 absorption (CO2 Gt/Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... CO2 emissions (CO2 Gt/Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... CO2 Gt converter (CO2 Gt/Impact units)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... CO2 ppm (CO2 ppm)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... constant returns in adaptation capacity built per effort (Impact units/$ )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... constant returns in mitigation technological development built per effort (dmnl/$ )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... cumulative impacts target level (Impact units)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... cumulative impacts to CO2ppm equivalent (CO2 ppm/Impact units)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... forced behavioural change threshold (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... fractional consumption from high- to low-affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... imitation coefficient transition back (dmnl/Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... imitation coefficient transition (dmnl/Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... impact population high affluence lifestyle in 2020 (Impact units/Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... impact population high affuence lifestyle (Impact units/Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... impact population low affluence lifestyle (Impact units/Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... initial impact high affluence lifestyle per person (Impact units/Year/People)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... initial Population with high-affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... initial Population with low-affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... K - diminishing returns in adaptation capacity built per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... K - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... K - effect of pressure perception on adaptation priority (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... K - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... K - effect of pressures perception on effort - alternative scenario (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... K - effect of pressures perception on effort - base scenario (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... K - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... lifestyle socio-technical regime effect (Attractiveness units/dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... M - diminishing returns in adaptation capacity built per effort multiplier (Impact units )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... M - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... M - effect of pressure perception on adaptation priority for sensitivity analysis (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... M - effect of pressure perception on adaptation priority (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... M - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... M - effect of pressures perception on effort - alternative scenario (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... M - effect of pressures perception on effort - base scenario (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... M - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... natural sinks degradation curve slope (dmnl/Impact units)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... natural sinks degradation due to cumulative impacts threshold (Impact units)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... perceived pressures - Cumulative impacts gap (Impact units)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... perceived pressures - socio-environmental consequences gap (Impact units)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... perception delay (Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... population 1950 (People)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... pressures to impact units converter (Impact units)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... pressures tolerance threshold (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... Q - diminishing returns in adaptation capacity built per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... Q - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... Q - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... Q - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... reference attractiveness low-affluence lifestyle (Attractiveness units )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... reference attractivness high-affluence lifestyle (Attractiveness units )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... reference impacts absorption time (Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... reference technology (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... resources allocation threshold (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... rx - diminishing returns in adaptation capacity built per effort multiplier (Impact units )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... rx - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... rx - effect of pressure perception on adaptation priority (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... rx - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... rx - effect of pressures perception on effort - alternative scenario (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... rx - effect of pressures perception on effort - base scenario (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... rx - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... ry - diminishing returns in adaptation capacity built per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... ry - dimishing returns in mitigation technological development per effort multiplier (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... ry - effect of pressure perception on adaptation priority (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... ry - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... ry - effect of pressures perception on effort - alternative scenario (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... ry - effect of pressures perception on effort - base scenario (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... ry - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... simulation start time (Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... SWT behavioural mitigation loop (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... SWT diminishing returns in adaptation capacity built per effort (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... SWT dimishing returns in mitigation technological development per effort (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... SWT forced behavioural change loop (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... SWT rapid behavioural response (dmnl)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... SWT to rapid response after perception (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... SWT to static allocation rule (dmnl )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... time effect (Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... time to implement adaptation capacity (Year )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... time to implement mitigation technology (Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... total actual effort ($/Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... total potential effort per year ($/Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... transition back innovators fraction (dmnl/Year )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          Environment - Societal Responses ModelFeedback... transition innovators fraction (dmnl/Year )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          .ControlFeedback... FINAL TIME (Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          .ControlFeedback... INITIAL TIME (Year)  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          .ControlFeedback... SAVEPER (Year )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]
                                                                                                          .ControlFeedback... TIME STEP (Year )  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]  0 (0.0%)  0 [  0,  0]  0 [  0,  0]NA  0 [  0,  0]


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                                                                                                          Exogenous Variables Analysis (87 Variables + 4 Control Variables)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Variable Number
                                                                                                          Data Source
                                                                                                          Environment - Societal Responses ModelExogenous A - diminishing returns in adaptation capacity built per effort multiplier (dmnl)1Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous A - dimishing returns in mitigation technological development per effort multiplier (dmnl)2Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous A - effect of pressure perception on adaptation priority (dmnl)3Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)4Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous A - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)5Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous A - effect of pressures perception on effort - alternative scenario (dmnl)6Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous A - effect of pressures perception on effort - base scenario (dmnl)7Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous A - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)8Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous affluence and population growth multiplier (dmnl/Year)9Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous alternative allocation to adaptation fraction (dmnl )10Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous behavioural mitigation threshold rapid response (dmnl )11Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous behavioural mitigation threshold (dmnl )12Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous C - diminishing returns in adaptation capacity built per effort multiplier (dmnl)13Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous C - dimishing returns in mitigation technological development per effort multiplier (dmnl)14Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)15Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous C - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)16Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous C - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)17Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous CO2 Gt converter (CO2 Gt/Impact units)18Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous constant returns in adaptation capacity built per effort (Impact units/$ )19Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous constant returns in mitigation technological development built per effort (dmnl/$ )20Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous cumulative impacts target level (Impact units)21Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous cumulative impacts to CO2ppm equivalent (CO2 ppm/Impact units)22Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous fractional consumption from high- to low-affluence lifestyle (dmnl)23Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous imitation coefficient transition back (dmnl/Year)24Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous imitation coefficient transition (dmnl/Year)25Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous impact population high affluence lifestyle in 2020 (Impact units/Year)26Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous initial impact high affluence lifestyle per person (Impact units/Year/People)27Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous initial Population with high-affluence lifestyle (dmnl)28Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous initial Population with low-affluence lifestyle (dmnl)29Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous K - diminishing returns in adaptation capacity built per effort multiplier (dmnl)30Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous K - dimishing returns in mitigation technological development per effort multiplier (dmnl)31Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous K - effect of pressure perception on adaptation priority (dmnl)32Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)33Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous K - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)34Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous K - effect of pressures perception on effort - alternative scenario (dmnl)35Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous K - effect of pressures perception on effort - base scenario (dmnl)36Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous K - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)37Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous lifestyle socio-technical regime effect (Attractiveness units/dmnl )38Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous M - diminishing returns in adaptation capacity built per effort multiplier (Impact units )39Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous M - dimishing returns in mitigation technological development per effort multiplier (dmnl)40Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous M - effect of pressure perception on adaptation priority for sensitivity analysis (dmnl)41Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl )42Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous M - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )43Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous M - effect of pressures perception on effort - alternative scenario (dmnl )44Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous M - effect of pressures perception on effort - base scenario (dmnl )45Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous M - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)46Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous natural sinks degradation curve slope (dmnl/Impact units)47Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous natural sinks degradation due to cumulative impacts threshold (Impact units)48Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous perception delay (Year)49Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous population 1950 (People)50Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous pressures to impact units converter (Impact units)51Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous pressures tolerance threshold (dmnl)52Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous Q - diminishing returns in adaptation capacity built per effort multiplier (dmnl)53Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous Q - dimishing returns in mitigation technological development per effort multiplier (dmnl)54Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)55Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous Q - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl)56Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous Q - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)57Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous reference attractiveness low-affluence lifestyle (Attractiveness units )58Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous reference attractivness high-affluence lifestyle (Attractiveness units )59Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous reference impacts absorption time (Year)60Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous reference technology (dmnl)61Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous resources allocation threshold (dmnl )62Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous rx - diminishing returns in adaptation capacity built per effort multiplier (Impact units )63Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous rx - dimishing returns in mitigation technological development per effort multiplier (dmnl)64Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous rx - effect of pressure perception on adaptation priority (dmnl)65Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)66Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous rx - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )67Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous rx - effect of pressures perception on effort - alternative scenario (dmnl)68Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous rx - effect of pressures perception on effort - base scenario (dmnl)69Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous rx - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)70Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous ry - diminishing returns in adaptation capacity built per effort multiplier (dmnl)71Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous ry - dimishing returns in mitigation technological development per effort multiplier (dmnl)72Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous ry - effect of pressure perception on adaptation priority (dmnl)73Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous ry - effect of pressures perception on attractivenss of high affluence lifestyle (dmnl )74Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous ry - effect of pressures perception on effort - alternative scenario (dmnl)75Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous ry - effect of pressures perception on effort - base scenario (dmnl)76Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous ry - forced effect of pressure perception attractiveness of high affluence lifestyle (dmnl)77Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (dmnl)78Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous simulation start time (Year)79Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous SWT diminishing returns in adaptation capacity built per effort (dmnl )80Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous SWT dimishing returns in mitigation technological development per effort (dmnl )81Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous SWT forced behavioural change loop (dmnl)82Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous time to implement adaptation capacity (Year )83Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous time to implement mitigation technology (Year)84Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous total potential effort per year ($/Year)85Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous transition back innovators fraction (dmnl/Year )86Hardcoded
                                                                                                          Environment - Societal Responses ModelExogenous transition innovators fraction (dmnl/Year )87Hardcoded
                                                                                                          .ControlExogenous FINAL TIME (Year)88Hardcoded
                                                                                                          .ControlExogenous INITIAL TIME (Year)89Hardcoded
                                                                                                          .ControlExogenous TIME STEP (Year )90Hardcoded
                                                                                                          DefaultExogenous Time (Year)91Hardcoded


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                                                                                                          Endogenous Variables Analysis (54 Variables + 1 Control Variables) (Maximum Endogenous Path Length: 45)

                                                                                                          Group
                                                                                                          Type
                                                                                                          Variable
                                                                                                          Variable Number
                                                                                                          Input Links
                                                                                                          Direct Exogenous
                                                                                                          Percent Exogenous
                                                                                                          Indirect Exogenous
                                                                                                          Indirect Minimum
                                                                                                          Indirect Mean
                                                                                                          Indirect Median
                                                                                                          Indirect Maximum
                                                                                                          Exogenous Unconnected
                                                                                                          Exogenous Connected
                                                                                                          Environment - Societal Responses ModelEndogenous forced behavioural change threshold (dmnl)111100.00NANANANA901
                                                                                                          Environment - Societal Responses ModelEndogenous M - effect of pressure perception on adaptation priority (dmnl )222100.00NANANANA892
                                                                                                          Environment - Societal Responses ModelEndogenous SWT behavioural mitigation loop (dmnl)311100.00NANANANA901
                                                                                                          Environment - Societal Responses ModelEndogenous SWT rapid behavioural response (dmnl)411100.00NANANANA901
                                                                                                          Environment - Societal Responses ModelEndogenous SWT to rapid response after perception (dmnl )511100.00NANANANA901
                                                                                                          Environment - Societal Responses ModelEndogenous SWT to static allocation rule (dmnl )611100.00NANANANA901
                                                                                                          Environment - Societal Responses ModelEndogenous time effect (Year)722100.00NANANANA892
                                                                                                          Environment - Societal Responses ModelEndogenous diminishing returns in adaptation capacity built per effort multiplier (dmnl)88787.578410.7111.0016685
                                                                                                          Environment - Societal Responses ModelEndogenous dimishing returns in mitigation technological development per effort multiplier (dmnl)98787.578410.2411.0016685
                                                                                                          Environment - Societal Responses ModelEndogenous effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (dmnl)108787.57828.859.0013685
                                                                                                          Environment - Societal Responses ModelEndogenous effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (dmnl)118787.57838.929.0012685
                                                                                                          Environment - Societal Responses ModelEndogenous effect of pressure to respond on effort (dmnl)12131184.67428.188.0012685
                                                                                                          Environment - Societal Responses ModelEndogenous effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (dmnl)1310880.07727.958.0012685
                                                                                                          Environment - Societal Responses ModelEndogenous adaptation capacity built per effort (Impact units/$)143266.783211.0512.0017685
                                                                                                          Environment - Societal Responses ModelEndogenous attractiveness of low-affluence lifestyle (Attractiveness units)153266.78329.7811.0016685
                                                                                                          Environment - Societal Responses ModelEndogenous effect of pressure to respond on adaptation priority (dmnl)169666.77928.158.0012685
                                                                                                          Environment - Societal Responses ModelEndogenous impact population high affuence lifestyle (Impact units/Year)173266.7322.673.003865
                                                                                                          Environment - Societal Responses ModelEndogenous impact population low affluence lifestyle (Impact units/Year)183266.7523.003.004847
                                                                                                          Environment - Societal Responses ModelEndogenous mitigation technlogical development per effort (dmnl/$)193266.783210.6112.0017685
                                                                                                          Environment - Societal Responses ModelEndogenous natural sinks degradation due to cumulative impacts multiplier (dmnl)203266.78338.418.0014685
                                                                                                          Environment - Societal Responses ModelEndogenous adaptation implemented (Impact units)212150.084410.2711.0016685
                                                                                                          Environment - Societal Responses ModelEndogenous affluence and population growth (dmnl)222150.0222.002.002883
                                                                                                          Environment - Societal Responses ModelEndogenous CO2 absorption (CO2 Gt/Year)232150.08529.249.0015586
                                                                                                          Environment - Societal Responses ModelEndogenous CO2 emissions (CO2 Gt/Year)242150.08537.758.0013586
                                                                                                          Environment - Societal Responses ModelEndogenous CO2 ppm (CO2 ppm)252150.08538.338.0014586
                                                                                                          Environment - Societal Responses ModelEndogenous effort taken against impact per year ($/Year)262150.08428.258.0013685
                                                                                                          Environment - Societal Responses ModelEndogenous impacts absorption time (Year)272150.08429.299.0015685
                                                                                                          Environment - Societal Responses ModelEndogenous mitigation technology implemented (dmnl)282150.08449.8010.5016685
                                                                                                          Environment - Societal Responses ModelEndogenous socio-environmental consequences (Impact units)292150.08438.318.0014685
                                                                                                          Environment - Societal Responses ModelEndogenous technology effect (dmnl)302150.084210.6911.5017685
                                                                                                          Environment - Societal Responses ModelEndogenous action trigger for behavioural mitigation (dmnl)313133.38428.118.0012685
                                                                                                          Environment - Societal Responses ModelEndogenous attractiveness of high-affluence lifestyle (Attractiveness units)326233.38326.127.0012685
                                                                                                          Environment - Societal Responses ModelEndogenous impacts absorption (Impact units/Year)333133.38428.328.0014685
                                                                                                          Environment - Societal Responses ModelEndogenous perceived pressures - Cumulative impacts gap (Impact units)343133.38526.928.0010586
                                                                                                          Environment - Societal Responses ModelEndogenous perceived pressures - socio-environmental consequences gap (Impact units)353133.38527.558.0011586
                                                                                                          Environment - Societal Responses ModelEndogenous Population with high-affluence lifestyle (dmnl)363133.38428.7610.0015685
                                                                                                          Environment - Societal Responses ModelEndogenous Population with low-affluence lifestyle (dmnl)373133.38428.7610.0015685
                                                                                                          Environment - Societal Responses ModelEndogenous pressure to respond (perceived pressures) (dmnl)383133.38427.297.0011685
                                                                                                          Environment - Societal Responses ModelEndogenous transition back to high-affluence lifestyle (dmnl/Year)396233.38327.929.0014685
                                                                                                          Environment - Societal Responses ModelEndogenous transition to low-affluence lifestyle (dmnl/Year)406233.38328.8310.0015685
                                                                                                          Environment - Societal Responses ModelEndogenous adaptation capacity increase rate (Impact units/Year)41200.08528.249.0014685
                                                                                                          Environment - Societal Responses ModelEndogenous adaptation effort per year ($/Year)42200.08527.878.0013685
                                                                                                          Environment - Societal Responses ModelEndogenous forced behavioural change trigger (dmnl)43200.08528.098.0011685
                                                                                                          Environment - Societal Responses ModelEndogenous impacts generation (Impact units/Year)44500.08526.757.0012685
                                                                                                          Environment - Societal Responses ModelEndogenous mitigation technology development rate (dmnl/Year)45200.08527.819.0014685
                                                                                                          Environment - Societal Responses ModelEndogenous relative attractiveness of high-afflluence lifestyle (1)46200.08526.958.0013685
                                                                                                          Environment - Societal Responses ModelEndogenous relative attractiveness of low-affluence lifestyle (1)47200.08527.859.0014685
                                                                                                          Environment - Societal Responses ModelEndogenous technological mitigation effort per year ($/Year)48200.08527.878.0013685
                                                                                                          Environment - Societal Responses ModelEndogenous total actual effort ($/Year)49200.08538.879.0014685
                                                                                                          Environment - Societal Responses ModelEndogenous total attractiveness of all lifestyle (Attractiveness units)50200.08526.938.0013685
                                                                                                          Environment - Societal Responses ModelEndogenous total population (dmnl)51200.08529.6511.0016685
                                                                                                          Environment - Societal Responses ModelEndogenous Adaptation capacity (Impact units)52100.08539.2410.0015685
                                                                                                          Environment - Societal Responses ModelEndogenous Cumulative impacts (Impact units)53200.08527.337.0013685
                                                                                                          Environment - Societal Responses ModelEndogenous Mitigation technology (dmnl)54100.08538.8110.0015685
                                                                                                          .ControlEndogenous SAVEPER (Year )5511100.00NANANANA901


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                                                                                                          Macros (2 Variables)

                                                                                                          Name
                                                                                                          Macro Definition
                                                                                                          Expanded Macro Definition
                                                                                                          GenLogisticEquation A + ((K-A)/(C+Q*EXP(beta*(input-M)))) _$arg1$_+((_$arg2$_-_$arg1$_)/(_$arg3$_+_$arg4$_*EXP(_$arg5$_*(_$arg0$_-_$arg6$_))))
                                                                                                          GenLogisticEquationRP A + ((K-A)/(C+Q*((A*(C-1)+K-ry*C)/(Q*(ry-A)))^((input-M)/(rx-M)))) _$arg3$_+((_$arg4$_-_$arg3$_)/(_$arg5$_+_$arg6$_*((_$arg3$_*(_$arg5$_-1)+_$arg4$_-_$arg2$_*_$arg5$_)/(_$arg6$_*(_$arg2$_-_$arg3$_)))^((_$arg0$_-_$arg7$_)/(_$arg1$_-_$arg7$_))))



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                                                                                                          Positive Polarity Causal Links (123 Variables)

                                                                                                          Cause
                                                                                                          Effect
                                                                                                          Polarity
                                                                                                          A - effect of pressure perception on adaptation priority effect of pressure to respond on adaptation priority+
                                                                                                          A - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation+
                                                                                                          A - effect of pressures perception on effort - alternative scenario effect of pressure to respond on effort+
                                                                                                          A - effect of pressures perception on effort - base scenario effect of pressure to respond on effort+
                                                                                                          A - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change+
                                                                                                          Adaptation capacity adaptation implemented+
                                                                                                          adaptation capacity built per effort adaptation capacity increase rate+
                                                                                                          adaptation capacity increase rate Adaptation capacity+
                                                                                                          adaptation effort per year adaptation capacity increase rate+
                                                                                                          adaptation effort per year total actual effort+
                                                                                                          affluence and population growth impact population high affuence lifestyle+
                                                                                                          affluence and population growth multiplier affluence and population growth+
                                                                                                          alternative allocation to adaptation fraction effect of pressure to respond on adaptation priority+
                                                                                                          attractiveness of high-affluence lifestyle relative attractiveness of high-afflluence lifestyle+
                                                                                                          attractiveness of high-affluence lifestyle total attractiveness of all lifestyle+
                                                                                                          attractiveness of low-affluence lifestyle relative attractiveness of low-affluence lifestyle+
                                                                                                          attractiveness of low-affluence lifestyle total attractiveness of all lifestyle+
                                                                                                          C - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplier+
                                                                                                          C - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation+
                                                                                                          C - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change+
                                                                                                          CO2 Gt converter CO2 absorption+
                                                                                                          CO2 Gt converter CO2 emissions+
                                                                                                          constant returns in adaptation capacity built per effort adaptation capacity built per effort+
                                                                                                          constant returns in mitigation technological development built per effort mitigation technlogical development per effort+
                                                                                                          Cumulative impacts CO2 ppm+
                                                                                                          Cumulative impacts impacts absorption+
                                                                                                          Cumulative impacts natural sinks degradation due to cumulative impacts multiplier+
                                                                                                          Cumulative impacts perceived pressures - Cumulative impacts gap+
                                                                                                          Cumulative impacts socio-environmental consequences+
                                                                                                          cumulative impacts to CO2ppm equivalent CO2 ppm+
                                                                                                          diminishing returns in adaptation capacity built per effort multiplier adaptation capacity built per effort+
                                                                                                          dimishing returns in mitigation technological development per effort multiplier mitigation technlogical development per effort+
                                                                                                          effect of pressure to respond on adaptation priority adaptation effort per year+
                                                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation attractiveness of high-affluence lifestyle+
                                                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response attractiveness of high-affluence lifestyle+
                                                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change attractiveness of high-affluence lifestyle+
                                                                                                          effect of pressure to respond on effort effort taken against impact per year+
                                                                                                          effort taken against impact per year adaptation effort per year+
                                                                                                          effort taken against impact per year technological mitigation effort per year+
                                                                                                          forced behavioural change trigger effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change+
                                                                                                          fractional consumption from high- to low-affluence lifestyle impact population low affluence lifestyle+
                                                                                                          imitation coefficient transition transition to low-affluence lifestyle+
                                                                                                          imitation coefficient transition back transition back to high-affluence lifestyle+
                                                                                                          impact population high affluence lifestyle in 2020 impact population low affluence lifestyle+
                                                                                                          impact population high affuence lifestyle impact population low affluence lifestyle+
                                                                                                          impact population high affuence lifestyle impacts generation+
                                                                                                          impact population low affluence lifestyle impacts generation+
                                                                                                          impacts absorption CO2 absorption+
                                                                                                          impacts absorption time impacts absorption+
                                                                                                          impacts generation CO2 emissions+
                                                                                                          impacts generation Cumulative impacts+
                                                                                                          initial impact high affluence lifestyle per person impact population high affuence lifestyle+
                                                                                                          initial Population with high-affluence lifestyle Population with high-affluence lifestyle+
                                                                                                          initial Population with low-affluence lifestyle Population with low-affluence lifestyle+
                                                                                                          K - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplier+
                                                                                                          K - effect of pressure perception on adaptation priority effect of pressure to respond on adaptation priority+
                                                                                                          K - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation+
                                                                                                          K - effect of pressures perception on effort - alternative scenario effect of pressure to respond on effort+
                                                                                                          K - effect of pressures perception on effort - base scenario effect of pressure to respond on effort+
                                                                                                          K - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change+
                                                                                                          lifestyle socio-technical regime effect attractiveness of high-affluence lifestyle+
                                                                                                          lifestyle socio-technical regime effect attractiveness of low-affluence lifestyle+
                                                                                                          M - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplier+
                                                                                                          M - effect of pressure perception on adaptation priority effect of pressure to respond on adaptation priority+
                                                                                                          M - effect of pressure perception on adaptation priority for sensitivity analysis M - effect of pressure perception on adaptation priority+
                                                                                                          M - effect of pressures perception on effort - alternative scenario effect of pressure to respond on effort+
                                                                                                          M - effect of pressures perception on effort - base scenario effect of pressure to respond on effort+
                                                                                                          mitigation technlogical development per effort mitigation technology development rate+
                                                                                                          Mitigation technology dimishing returns in mitigation technological development per effort multiplier+
                                                                                                          mitigation technology development rate Mitigation technology+
                                                                                                          natural sinks degradation due to cumulative impacts multiplier impacts absorption time+
                                                                                                          perception delay socio-environmental consequences+
                                                                                                          population 1950 impact population high affuence lifestyle+
                                                                                                          Population with high-affluence lifestyle attractiveness of high-affluence lifestyle+
                                                                                                          Population with high-affluence lifestyle impacts generation+
                                                                                                          Population with high-affluence lifestyle total population+
                                                                                                          Population with high-affluence lifestyle transition back to high-affluence lifestyle+
                                                                                                          Population with high-affluence lifestyle transition to low-affluence lifestyle+
                                                                                                          Population with low-affluence lifestyle attractiveness of low-affluence lifestyle+
                                                                                                          Population with low-affluence lifestyle impacts generation+
                                                                                                          Population with low-affluence lifestyle total population+
                                                                                                          Population with low-affluence lifestyle transition back to high-affluence lifestyle+
                                                                                                          Population with low-affluence lifestyle transition to low-affluence lifestyle+
                                                                                                          pressure to respond (perceived pressures) action trigger for behavioural mitigation+
                                                                                                          pressure to respond (perceived pressures) effect of pressure to respond on adaptation priority+
                                                                                                          pressure to respond (perceived pressures) effect of pressure to respond on effort+
                                                                                                          pressure to respond (perceived pressures) forced behavioural change trigger+
                                                                                                          Q - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplier+
                                                                                                          Q - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation+
                                                                                                          Q - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change+
                                                                                                          reference attractiveness low-affluence lifestyle attractiveness of low-affluence lifestyle+
                                                                                                          reference attractivness high-affluence lifestyle attractiveness of high-affluence lifestyle+
                                                                                                          reference impacts absorption time impacts absorption time+
                                                                                                          reference technology technology effect+
                                                                                                          relative attractiveness of high-afflluence lifestyle transition back to high-affluence lifestyle+
                                                                                                          relative attractiveness of low-affluence lifestyle transition to low-affluence lifestyle+
                                                                                                          resources allocation threshold effect of pressure to respond on adaptation priority+
                                                                                                          resources allocation threshold effect of pressure to respond on effort+
                                                                                                          rx - effect of pressure perception on adaptation priority effect of pressure to respond on adaptation priority+
                                                                                                          rx - effect of pressures perception on effort - alternative scenario effect of pressure to respond on effort+
                                                                                                          rx - effect of pressures perception on effort - base scenario effect of pressure to respond on effort+
                                                                                                          ry - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplier+
                                                                                                          ry - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplier+
                                                                                                          ry - effect of pressure perception on adaptation priority effect of pressure to respond on adaptation priority+
                                                                                                          ry - effect of pressures perception on effort - alternative scenario effect of pressure to respond on effort+
                                                                                                          ry - effect of pressures perception on effort - base scenario effect of pressure to respond on effort+
                                                                                                          socio-environmental consequences perceived pressures - socio-environmental consequences gap+
                                                                                                          socio-environmental consequences pressure to respond (perceived pressures)+
                                                                                                          SWT forced behavioural change loop forced behavioural change threshold+
                                                                                                          SWT to rapid response after perception effect of pressure to respond on effort+
                                                                                                          SWT to static allocation rule effect of pressure to respond on adaptation priority+
                                                                                                          technological mitigation effort per year mitigation technology development rate+
                                                                                                          technological mitigation effort per year total actual effort+
                                                                                                          technology effect impacts generation+
                                                                                                          Time time effect+
                                                                                                          time effect affluence and population growth+
                                                                                                          TIME STEP SAVEPER+
                                                                                                          time to implement adaptation capacity adaptation implemented+
                                                                                                          total potential effort per year effort taken against impact per year+
                                                                                                          transition back innovators fraction transition back to high-affluence lifestyle+
                                                                                                          transition back to high-affluence lifestyle Population with high-affluence lifestyle+
                                                                                                          transition innovators fraction transition to low-affluence lifestyle+
                                                                                                          transition to low-affluence lifestyle Population with low-affluence lifestyle+



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                                                                                                          Negative Polarity Causal Links (29 Variables)

                                                                                                          Cause
                                                                                                          Effect
                                                                                                          Polarity
                                                                                                          action trigger for behavioural mitigation effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation-
                                                                                                          Adaptation capacity diminishing returns in adaptation capacity built per effort multiplier-
                                                                                                          adaptation implemented pressure to respond (perceived pressures)-
                                                                                                          behavioural mitigation threshold action trigger for behavioural mitigation-
                                                                                                          C - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplier-
                                                                                                          cumulative impacts target level impacts absorption-
                                                                                                          effect of pressure to respond on adaptation priority technological mitigation effort per year-
                                                                                                          forced behavioural change threshold forced behavioural change trigger-
                                                                                                          impacts absorption Cumulative impacts-
                                                                                                          K - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplier-
                                                                                                          M - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change-
                                                                                                          mitigation technology implemented technology effect-
                                                                                                          natural sinks degradation curve slope natural sinks degradation due to cumulative impacts multiplier-
                                                                                                          natural sinks degradation due to cumulative impacts threshold natural sinks degradation due to cumulative impacts multiplier-
                                                                                                          pressure to respond (perceived pressures) perceived pressures - Cumulative impacts gap-
                                                                                                          pressure to respond (perceived pressures) perceived pressures - socio-environmental consequences gap-
                                                                                                          pressures to impact units converter perceived pressures - Cumulative impacts gap-
                                                                                                          pressures to impact units converter perceived pressures - socio-environmental consequences gap-
                                                                                                          pressures tolerance threshold pressure to respond (perceived pressures)-
                                                                                                          Q - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplier-
                                                                                                          ry - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation-
                                                                                                          simulation start time time effect-
                                                                                                          SWT behavioural mitigation loop action trigger for behavioural mitigation-
                                                                                                          total attractiveness of all lifestyle relative attractiveness of high-afflluence lifestyle-
                                                                                                          total attractiveness of all lifestyle relative attractiveness of low-affluence lifestyle-
                                                                                                          total population transition back to high-affluence lifestyle-
                                                                                                          total population transition to low-affluence lifestyle-
                                                                                                          transition back to high-affluence lifestyle Population with low-affluence lifestyle-
                                                                                                          transition to low-affluence lifestyle Population with high-affluence lifestyle-



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                                                                                                          Function-based Polarity Causal Links (28 Variables)

                                                                                                          Cause
                                                                                                          Effect
                                                                                                          Polarity
                                                                                                          A - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplierInconsistent
                                                                                                          A - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplierInconsistent
                                                                                                          A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          behavioural mitigation threshold rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          M - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplierInconsistent
                                                                                                          M - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigationInconsistent
                                                                                                          M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          Mitigation technology mitigation technology implementedFunction[DELAY3I]
                                                                                                          pressure to respond (perceived pressures) effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          rx - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplierInconsistent
                                                                                                          rx - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplierInconsistent
                                                                                                          rx - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigationInconsistent
                                                                                                          rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          rx - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural changeInconsistent
                                                                                                          ry - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural changeInconsistent
                                                                                                          ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          SWT diminishing returns in adaptation capacity built per effort adaptation capacity built per effortIf Then Else Switch
                                                                                                          SWT dimishing returns in mitigation technological development per effort mitigation technlogical development per effortIf Then Else Switch
                                                                                                          SWT rapid behavioural response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          Time M - effect of pressure perception on adaptation priorityIf Then Else Switch
                                                                                                          Time SWT behavioural mitigation loopIf Then Else Switch
                                                                                                          Time SWT rapid behavioural responseIf Then Else Switch
                                                                                                          Time SWT to rapid response after perceptionIf Then Else Switch
                                                                                                          Time SWT to static allocation ruleIf Then Else Switch
                                                                                                          time to implement mitigation technology mitigation technology implementedFunction[DELAY3I]



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                                                                                                          User Specified/Calculated Polarity Differences (180 Variables)

                                                                                                          Cause
                                                                                                          Effect
                                                                                                          Calculated Polarity
                                                                                                          User Specified Polarity
                                                                                                          A - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplierInconsistent
                                                                                                          A - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplierInconsistent
                                                                                                          A - effect of pressure perception on adaptation priority effect of pressure to respond on adaptation priority+
                                                                                                          A - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation+
                                                                                                          A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          A - effect of pressures perception on effort - alternative scenario effect of pressure to respond on effort+
                                                                                                          A - effect of pressures perception on effort - base scenario effect of pressure to respond on effort+
                                                                                                          A - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change+
                                                                                                          action trigger for behavioural mitigation effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation-
                                                                                                          Adaptation capacity adaptation implemented+
                                                                                                          Adaptation capacity diminishing returns in adaptation capacity built per effort multiplier-
                                                                                                          adaptation capacity built per effort adaptation capacity increase rate+
                                                                                                          adaptation capacity increase rate Adaptation capacity+
                                                                                                          adaptation effort per year adaptation capacity increase rate+
                                                                                                          adaptation effort per year total actual effort+
                                                                                                          adaptation implemented pressure to respond (perceived pressures)-
                                                                                                          affluence and population growth impact population high affuence lifestyle+
                                                                                                          affluence and population growth multiplier affluence and population growth+
                                                                                                          alternative allocation to adaptation fraction effect of pressure to respond on adaptation priority+
                                                                                                          attractiveness of high-affluence lifestyle relative attractiveness of high-afflluence lifestyle+
                                                                                                          attractiveness of high-affluence lifestyle total attractiveness of all lifestyle+
                                                                                                          attractiveness of low-affluence lifestyle relative attractiveness of low-affluence lifestyle+
                                                                                                          attractiveness of low-affluence lifestyle total attractiveness of all lifestyle+
                                                                                                          behavioural mitigation threshold action trigger for behavioural mitigation-
                                                                                                          behavioural mitigation threshold rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          C - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplier+
                                                                                                          C - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplier-
                                                                                                          C - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation+
                                                                                                          C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          C - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change+
                                                                                                          CO2 Gt converter CO2 absorption+
                                                                                                          CO2 Gt converter CO2 emissions+
                                                                                                          constant returns in adaptation capacity built per effort adaptation capacity built per effort+
                                                                                                          constant returns in mitigation technological development built per effort mitigation technlogical development per effort+
                                                                                                          Cumulative impacts CO2 ppm+
                                                                                                          Cumulative impacts impacts absorption+
                                                                                                          Cumulative impacts natural sinks degradation due to cumulative impacts multiplier+
                                                                                                          Cumulative impacts perceived pressures - Cumulative impacts gap+
                                                                                                          Cumulative impacts socio-environmental consequences+
                                                                                                          cumulative impacts target level impacts absorption-
                                                                                                          cumulative impacts to CO2ppm equivalent CO2 ppm+
                                                                                                          diminishing returns in adaptation capacity built per effort multiplier adaptation capacity built per effort+
                                                                                                          dimishing returns in mitigation technological development per effort multiplier mitigation technlogical development per effort+
                                                                                                          effect of pressure to respond on adaptation priority adaptation effort per year+
                                                                                                          effect of pressure to respond on adaptation priority technological mitigation effort per year-
                                                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation attractiveness of high-affluence lifestyle+
                                                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response attractiveness of high-affluence lifestyle+
                                                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change attractiveness of high-affluence lifestyle+
                                                                                                          effect of pressure to respond on effort effort taken against impact per year+
                                                                                                          effort taken against impact per year adaptation effort per year+
                                                                                                          effort taken against impact per year technological mitigation effort per year+
                                                                                                          forced behavioural change threshold forced behavioural change trigger-
                                                                                                          forced behavioural change trigger effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change+
                                                                                                          fractional consumption from high- to low-affluence lifestyle impact population low affluence lifestyle+
                                                                                                          imitation coefficient transition transition to low-affluence lifestyle+
                                                                                                          imitation coefficient transition back transition back to high-affluence lifestyle+
                                                                                                          impact population high affluence lifestyle in 2020 impact population low affluence lifestyle+
                                                                                                          impact population high affuence lifestyle impact population low affluence lifestyle+
                                                                                                          impact population high affuence lifestyle impacts generation+
                                                                                                          impact population low affluence lifestyle impacts generation+
                                                                                                          impacts absorption CO2 absorption+Polarity Is Null
                                                                                                          impacts absorption Cumulative impacts-
                                                                                                          impacts absorption time impacts absorption+
                                                                                                          impacts generation CO2 emissions+
                                                                                                          impacts generation Cumulative impacts+
                                                                                                          initial impact high affluence lifestyle per person impact population high affuence lifestyle+
                                                                                                          initial Population with high-affluence lifestyle Population with high-affluence lifestyle+
                                                                                                          initial Population with low-affluence lifestyle Population with low-affluence lifestyle+
                                                                                                          K - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplier-
                                                                                                          K - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplier+
                                                                                                          K - effect of pressure perception on adaptation priority effect of pressure to respond on adaptation priority+
                                                                                                          K - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation+
                                                                                                          K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          K - effect of pressures perception on effort - alternative scenario effect of pressure to respond on effort+
                                                                                                          K - effect of pressures perception on effort - base scenario effect of pressure to respond on effort+
                                                                                                          K - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change+
                                                                                                          lifestyle socio-technical regime effect attractiveness of high-affluence lifestyle+
                                                                                                          lifestyle socio-technical regime effect attractiveness of low-affluence lifestyle+
                                                                                                          M - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplierInconsistent
                                                                                                          M - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplier+
                                                                                                          M - effect of pressure perception on adaptation priority effect of pressure to respond on adaptation priority+
                                                                                                          M - effect of pressure perception on adaptation priority for sensitivity analysis M - effect of pressure perception on adaptation priority+
                                                                                                          M - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigationInconsistent
                                                                                                          M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          M - effect of pressures perception on effort - alternative scenario effect of pressure to respond on effort+
                                                                                                          M - effect of pressures perception on effort - base scenario effect of pressure to respond on effort+
                                                                                                          M - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change-
                                                                                                          mitigation technlogical development per effort mitigation technology development rate+
                                                                                                          Mitigation technology dimishing returns in mitigation technological development per effort multiplier+
                                                                                                          Mitigation technology mitigation technology implementedFunction[DELAY3I]
                                                                                                          mitigation technology development rate Mitigation technology+
                                                                                                          mitigation technology implemented technology effect-
                                                                                                          natural sinks degradation curve slope natural sinks degradation due to cumulative impacts multiplier-
                                                                                                          natural sinks degradation due to cumulative impacts multiplier impacts absorption time+
                                                                                                          natural sinks degradation due to cumulative impacts threshold natural sinks degradation due to cumulative impacts multiplier-
                                                                                                          perception delay socio-environmental consequences+
                                                                                                          population 1950 impact population high affuence lifestyle+
                                                                                                          Population with high-affluence lifestyle attractiveness of high-affluence lifestyle+
                                                                                                          Population with high-affluence lifestyle impacts generation+
                                                                                                          Population with high-affluence lifestyle total population+
                                                                                                          Population with high-affluence lifestyle transition back to high-affluence lifestyle+
                                                                                                          Population with high-affluence lifestyle transition to low-affluence lifestyle+
                                                                                                          Population with low-affluence lifestyle attractiveness of low-affluence lifestyle+
                                                                                                          Population with low-affluence lifestyle impacts generation+
                                                                                                          Population with low-affluence lifestyle total population+
                                                                                                          Population with low-affluence lifestyle transition back to high-affluence lifestyle+
                                                                                                          Population with low-affluence lifestyle transition to low-affluence lifestyle+
                                                                                                          pressure to respond (perceived pressures) action trigger for behavioural mitigation+
                                                                                                          pressure to respond (perceived pressures) effect of pressure to respond on adaptation priority+
                                                                                                          pressure to respond (perceived pressures) effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          pressure to respond (perceived pressures) effect of pressure to respond on effort+
                                                                                                          pressure to respond (perceived pressures) forced behavioural change trigger+
                                                                                                          pressure to respond (perceived pressures) perceived pressures - Cumulative impacts gap-
                                                                                                          pressure to respond (perceived pressures) perceived pressures - socio-environmental consequences gap-
                                                                                                          pressures to impact units converter perceived pressures - Cumulative impacts gap-
                                                                                                          pressures to impact units converter perceived pressures - socio-environmental consequences gap-
                                                                                                          pressures tolerance threshold pressure to respond (perceived pressures)-
                                                                                                          Q - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplier+
                                                                                                          Q - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplier-
                                                                                                          Q - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation+
                                                                                                          Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          Q - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change+
                                                                                                          reference attractiveness low-affluence lifestyle attractiveness of low-affluence lifestyle+
                                                                                                          reference attractivness high-affluence lifestyle attractiveness of high-affluence lifestyle+
                                                                                                          reference impacts absorption time impacts absorption time+
                                                                                                          reference technology technology effect+
                                                                                                          relative attractiveness of high-afflluence lifestyle transition back to high-affluence lifestyle+
                                                                                                          relative attractiveness of low-affluence lifestyle transition to low-affluence lifestyle+
                                                                                                          resources allocation threshold effect of pressure to respond on adaptation priority+
                                                                                                          resources allocation threshold effect of pressure to respond on effort+
                                                                                                          rx - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplierInconsistent
                                                                                                          rx - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplierInconsistent
                                                                                                          rx - effect of pressure perception on adaptation priority effect of pressure to respond on adaptation priority+
                                                                                                          rx - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigationInconsistent
                                                                                                          rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          rx - effect of pressures perception on effort - alternative scenario effect of pressure to respond on effort+
                                                                                                          rx - effect of pressures perception on effort - base scenario effect of pressure to respond on effort+
                                                                                                          rx - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural changeInconsistent
                                                                                                          ry - diminishing returns in adaptation capacity built per effort multiplier diminishing returns in adaptation capacity built per effort multiplier+
                                                                                                          ry - dimishing returns in mitigation technological development per effort multiplier dimishing returns in mitigation technological development per effort multiplier+
                                                                                                          ry - effect of pressure perception on adaptation priority effect of pressure to respond on adaptation priority+
                                                                                                          ry - effect of pressures perception on attractivenss of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation-
                                                                                                          ry - effect of pressures perception on effort - alternative scenario effect of pressure to respond on effort+
                                                                                                          ry - effect of pressures perception on effort - base scenario effect of pressure to respond on effort+
                                                                                                          ry - forced effect of pressure perception attractiveness of high affluence lifestyle effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural changeInconsistent
                                                                                                          ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          simulation start time time effect-
                                                                                                          socio-environmental consequences perceived pressures - socio-environmental consequences gap+
                                                                                                          socio-environmental consequences pressure to respond (perceived pressures)+
                                                                                                          SWT behavioural mitigation loop action trigger for behavioural mitigation-
                                                                                                          SWT diminishing returns in adaptation capacity built per effort adaptation capacity built per effortIf Then Else Switch
                                                                                                          SWT dimishing returns in mitigation technological development per effort mitigation technlogical development per effortIf Then Else Switch
                                                                                                          SWT forced behavioural change loop forced behavioural change threshold+
                                                                                                          SWT rapid behavioural response effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid responseFunction[SAMPLEIFTRUE]
                                                                                                          SWT to rapid response after perception effect of pressure to respond on effort+
                                                                                                          SWT to static allocation rule effect of pressure to respond on adaptation priority+
                                                                                                          technological mitigation effort per year mitigation technology development rate+
                                                                                                          technological mitigation effort per year total actual effort+
                                                                                                          technology effect impacts generation+
                                                                                                          Time M - effect of pressure perception on adaptation priorityIf Then Else Switch
                                                                                                          Time SWT behavioural mitigation loopIf Then Else Switch
                                                                                                          Time SWT rapid behavioural responseIf Then Else Switch
                                                                                                          Time SWT to rapid response after perceptionIf Then Else Switch
                                                                                                          Time SWT to static allocation ruleIf Then Else Switch
                                                                                                          Time time effect+
                                                                                                          time effect affluence and population growth+
                                                                                                          TIME STEP SAVEPER+Polarity Is Null
                                                                                                          time to implement adaptation capacity adaptation implemented+
                                                                                                          time to implement mitigation technology mitigation technology implementedFunction[DELAY3I]
                                                                                                          total attractiveness of all lifestyle relative attractiveness of high-afflluence lifestyle-
                                                                                                          total attractiveness of all lifestyle relative attractiveness of low-affluence lifestyle-
                                                                                                          total population transition back to high-affluence lifestyle-
                                                                                                          total population transition to low-affluence lifestyle-
                                                                                                          total potential effort per year effort taken against impact per year+
                                                                                                          transition back innovators fraction transition back to high-affluence lifestyle+
                                                                                                          transition back to high-affluence lifestyle Population with high-affluence lifestyle+
                                                                                                          transition back to high-affluence lifestyle Population with low-affluence lifestyle-
                                                                                                          transition innovators fraction transition to low-affluence lifestyle+
                                                                                                          transition to low-affluence lifestyle Population with high-affluence lifestyle-
                                                                                                          transition to low-affluence lifestyle Population with low-affluence lifestyle+



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                                                                                                          Rate-to-rate Links (0 Variables)

                                                                                                          Cause
                                                                                                          Effect



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                                                                                                          View-Variable Profile

                                                                                                          View
                                                                                                          View-Variable Profile
                                                                                                          Not in View       4Variables (2.7%)
                                                                                                          View 1                                                                                                                                                                                                 141Variables (95.9%)
                                                                                                          View 2           7Variables (4.8%)

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                                                                                                          List Of 3 views and their 145 Variables

                                                                                                           
                                                                                                          Not in View
                                                                                                          View 1
                                                                                                          View 2
                                                                                                           
                                                                                                          Total: 4 141 7 Total:
                                                                                                          CO2 absorption (In 1 View)         CO2 absorption (In 1 View)
                                                                                                          impacts absorption (In 1 View)         impacts absorption (In 1 View)
                                                                                                          CO2 Gt converter (In 1 View)         CO2 Gt converter (In 1 View)
                                                                                                          population 1950 (In 1 View)         population 1950 (In 1 View)
                                                                                                          impact population high affuence lifestyle (In 1 View)         impact population high affuence lifestyle (In 1 View)
                                                                                                          affluence and population growth (In 1 View)         affluence and population growth (In 1 View)
                                                                                                          initial impact high affluence lifestyle per person (In 1 View)         initial impact high affluence lifestyle per person (In 1 View)
                                                                                                          M - effect of pressure perception on adaptation priority (In 1 View)         M - effect of pressure perception on adaptation priority (In 1 View)
                                                                                                          M - effect of pressure perception on adaptation priority for sensitivity analysis (In 1 View)         M - effect of pressure perception on adaptation priority for sensitivity analysis (In 1 View)
                                                                                                          impact population low affluence lifestyle (In 1 View)         impact population low affluence lifestyle (In 1 View)
                                                                                                          impact population high affluence lifestyle in 2020 (In 1 View)         impact population high affluence lifestyle in 2020 (In 1 View)
                                                                                                          fractional consumption from high- to low-affluence lifestyle (In 1 View)         fractional consumption from high- to low-affluence lifestyle (In 1 View)
                                                                                                          SWT forced behavioural change loop (In 1 View)         SWT forced behavioural change loop (In 1 View)
                                                                                                          behavioural mitigation threshold (In 1 View)         behavioural mitigation threshold (In 1 View)
                                                                                                          action trigger for behavioural mitigation (In 1 View)         action trigger for behavioural mitigation (In 1 View)
                                                                                                          pressure to respond (perceived pressures) (In 1 View)         pressure to respond (perceived pressures) (In 1 View)
                                                                                                          SWT behavioural mitigation loop (In 1 View)         SWT behavioural mitigation loop (In 1 View)
                                                                                                          forced behavioural change threshold (In 2 Views)           forced behavioural change threshold (In 2 Views)
                                                                                                          SWT rapid behavioural response (In 1 View)         SWT rapid behavioural response (In 1 View)
                                                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (In 1 View)         effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation - rapid response (In 1 View)
                                                                                                          behavioural mitigation threshold rapid response (In 1 View)         behavioural mitigation threshold rapid response (In 1 View)
                                                                                                          A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)         A - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)
                                                                                                          K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)         K - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)
                                                                                                          C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)         C - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)
                                                                                                          Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)         Q - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)
                                                                                                          ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)         ry -effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)
                                                                                                          M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)         M - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)
                                                                                                          rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)         rx - effect of pressures perception on attractivenss of high affluence lifestyle - rapid response (In 1 View)
                                                                                                          pressures to impact units converter (In 1 View)         pressures to impact units converter (In 1 View)
                                                                                                          perceived pressures - Cumulative impacts gap (In 1 View)         perceived pressures - Cumulative impacts gap (In 1 View)
                                                                                                          Cumulative impacts (In 1 View)         Cumulative impacts (In 1 View)
                                                                                                          perceived pressures - socio-environmental consequences gap (In 1 View)         perceived pressures - socio-environmental consequences gap (In 1 View)
                                                                                                          socio-environmental consequences (In 1 View)         socio-environmental consequences (In 1 View)
                                                                                                          Q - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)         Q - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)
                                                                                                          A - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)         A - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)
                                                                                                          M - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)         M - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)
                                                                                                          forced behavioural change trigger (In 1 View)         forced behavioural change trigger (In 1 View)
                                                                                                          C - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)         C - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)
                                                                                                          ry - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)         ry - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)
                                                                                                          K - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)         K - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)
                                                                                                          rx - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)         rx - forced effect of pressure perception attractiveness of high affluence lifestyle (In 1 View)
                                                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (In 1 View)         effect of pressure to respond on attractiveness of high-affluence lifestyle due to forced behavioural change (In 1 View)
                                                                                                          A - effect of pressures perception on effort - alternative scenario (In 1 View)         A - effect of pressures perception on effort - alternative scenario (In 1 View)
                                                                                                          M - effect of pressures perception on effort - alternative scenario (In 1 View)         M - effect of pressures perception on effort - alternative scenario (In 1 View)
                                                                                                          rx - effect of pressures perception on effort - alternative scenario (In 1 View)         rx - effect of pressures perception on effort - alternative scenario (In 1 View)
                                                                                                          ry - effect of pressures perception on effort - alternative scenario (In 1 View)         ry - effect of pressures perception on effort - alternative scenario (In 1 View)
                                                                                                          K - effect of pressures perception on effort - alternative scenario (In 1 View)         K - effect of pressures perception on effort - alternative scenario (In 1 View)
                                                                                                          SWT to rapid response after perception (In 2 Views)           SWT to rapid response after perception (In 2 Views)
                                                                                                          adaptation implemented (In 1 View)         adaptation implemented (In 1 View)
                                                                                                          pressures tolerance threshold (In 1 View)         pressures tolerance threshold (In 1 View)
                                                                                                          attractiveness of high-affluence lifestyle (In 1 View)         attractiveness of high-affluence lifestyle (In 1 View)
                                                                                                          reference attractivness high-affluence lifestyle (In 1 View)         reference attractivness high-affluence lifestyle (In 1 View)
                                                                                                          Population with high-affluence lifestyle (In 1 View)         Population with high-affluence lifestyle (In 1 View)
                                                                                                          lifestyle socio-technical regime effect (In 1 View)         lifestyle socio-technical regime effect (In 1 View)
                                                                                                          effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (In 1 View)         effect of pressure to respond on attractiveness of high-affluence lifestyle due to behavioural mitigation (In 1 View)
                                                                                                          attractiveness of low-affluence lifestyle (In 1 View)         attractiveness of low-affluence lifestyle (In 1 View)
                                                                                                          reference attractiveness low-affluence lifestyle (In 1 View)         reference attractiveness low-affluence lifestyle (In 1 View)
                                                                                                          Population with low-affluence lifestyle (In 1 View)         Population with low-affluence lifestyle (In 1 View)
                                                                                                          mitigation technlogical development per effort (In 1 View)         mitigation technlogical development per effort (In 1 View)
                                                                                                          SWT dimishing returns in mitigation technological development per effort (In 2 Views)           SWT dimishing returns in mitigation technological development per effort (In 2 Views)
                                                                                                          dimishing returns in mitigation technological development per effort multiplier (In 1 View)         dimishing returns in mitigation technological development per effort multiplier (In 1 View)
                                                                                                          constant returns in mitigation technological development built per effort (In 1 View)         constant returns in mitigation technological development built per effort (In 1 View)
                                                                                                          A - dimishing returns in mitigation technological development per effort multiplier (In 1 View)         A - dimishing returns in mitigation technological development per effort multiplier (In 1 View)
                                                                                                          K - dimishing returns in mitigation technological development per effort multiplier (In 1 View)         K - dimishing returns in mitigation technological development per effort multiplier (In 1 View)
                                                                                                          C - dimishing returns in mitigation technological development per effort multiplier (In 1 View)         C - dimishing returns in mitigation technological development per effort multiplier (In 1 View)
                                                                                                          Q - dimishing returns in mitigation technological development per effort multiplier (In 1 View)         Q - dimishing returns in mitigation technological development per effort multiplier (In 1 View)
                                                                                                          ry - dimishing returns in mitigation technological development per effort multiplier (In 1 View)         ry - dimishing returns in mitigation technological development per effort multiplier (In 1 View)
                                                                                                          Mitigation technology (In 1 View)         Mitigation technology (In 1 View)
                                                                                                          M - dimishing returns in mitigation technological development per effort multiplier (In 1 View)         M - dimishing returns in mitigation technological development per effort multiplier (In 1 View)
                                                                                                          rx - dimishing returns in mitigation technological development per effort multiplier (In 1 View)         rx - dimishing returns in mitigation technological development per effort multiplier (In 1 View)
                                                                                                          diminishing returns in adaptation capacity built per effort multiplier (In 1 View)         diminishing returns in adaptation capacity built per effort multiplier (In 1 View)
                                                                                                          A - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)         A - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)
                                                                                                          K - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)         K - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)
                                                                                                          C - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)         C - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)
                                                                                                          Q - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)         Q - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)
                                                                                                          ry - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)         ry - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)
                                                                                                          Adaptation capacity (In 1 View)         Adaptation capacity (In 1 View)
                                                                                                          M - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)         M - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)
                                                                                                          rx - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)         rx - diminishing returns in adaptation capacity built per effort multiplier (In 1 View)
                                                                                                          A - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)         A - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)
                                                                                                          K - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)         K - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)
                                                                                                          C - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)         C - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)
                                                                                                          Q - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)         Q - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)
                                                                                                          ry - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)         ry - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)
                                                                                                          M - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)         M - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)
                                                                                                          rx - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)         rx - effect of pressures perception on attractivenss of high affluence lifestyle (In 1 View)
                                                                                                          effect of pressure to respond on effort (In 1 View)         effect of pressure to respond on effort (In 1 View)
                                                                                                          A - effect of pressures perception on effort - base scenario (In 1 View)         A - effect of pressures perception on effort - base scenario (In 1 View)
                                                                                                          K - effect of pressures perception on effort - base scenario (In 1 View)         K - effect of pressures perception on effort - base scenario (In 1 View)
                                                                                                          ry - effect of pressures perception on effort - base scenario (In 1 View)         ry - effect of pressures perception on effort - base scenario (In 1 View)
                                                                                                          resources allocation threshold (In 2 Views)           resources allocation threshold (In 2 Views)
                                                                                                          M - effect of pressures perception on effort - base scenario (In 1 View)         M - effect of pressures perception on effort - base scenario (In 1 View)
                                                                                                          rx - effect of pressures perception on effort - base scenario (In 1 View)         rx - effect of pressures perception on effort - base scenario (In 1 View)
                                                                                                          affluence and population growth multiplier (In 1 View)         affluence and population growth multiplier (In 1 View)
                                                                                                          cumulative impacts target level (In 1 View)         cumulative impacts target level (In 1 View)
                                                                                                          cumulative impacts to CO2ppm equivalent (In 1 View)         cumulative impacts to CO2ppm equivalent (In 1 View)
                                                                                                          CO2 ppm (In 1 View)         CO2 ppm (In 1 View)
                                                                                                          time effect (In 1 View)         time effect (In 1 View)
                                                                                                          effect of pressure to respond on adaptation priority (In 1 View)         effect of pressure to respond on adaptation priority (In 1 View)
                                                                                                          A - effect of pressure perception on adaptation priority (In 1 View)         A - effect of pressure perception on adaptation priority (In 1 View)
                                                                                                          K - effect of pressure perception on adaptation priority (In 1 View)         K - effect of pressure perception on adaptation priority (In 1 View)
                                                                                                          ry - effect of pressure perception on adaptation priority (In 1 View)         ry - effect of pressure perception on adaptation priority (In 1 View)
                                                                                                          rx - effect of pressure perception on adaptation priority (In 1 View)         rx - effect of pressure perception on adaptation priority (In 1 View)
                                                                                                          SWT to static allocation rule (In 2 Views)           SWT to static allocation rule (In 2 Views)
                                                                                                          alternative allocation to adaptation fraction (In 2 Views)           alternative allocation to adaptation fraction (In 2 Views)
                                                                                                          simulation start time (In 1 View)         simulation start time (In 1 View)
                                                                                                          CO2 emissions (In 1 View)         CO2 emissions (In 1 View)
                                                                                                          impacts generation (In 1 View)         impacts generation (In 1 View)
                                                                                                          technological mitigation effort per year (In 1 View)         technological mitigation effort per year (In 1 View)
                                                                                                          effort taken against impact per year (In 1 View)         effort taken against impact per year (In 1 View)
                                                                                                          total potential effort per year (In 1 View)         total potential effort per year (In 1 View)
                                                                                                          adaptation capacity built per effort (In 1 View)         adaptation capacity built per effort (In 1 View)
                                                                                                          SWT diminishing returns in adaptation capacity built per effort (In 2 Views)           SWT diminishing returns in adaptation capacity built per effort (In 2 Views)
                                                                                                          constant returns in adaptation capacity built per effort (In 1 View)         constant returns in adaptation capacity built per effort (In 1 View)
                                                                                                          adaptation effort per year (In 1 View)         adaptation effort per year (In 1 View)
                                                                                                          total actual effort (In 1 View)         total actual effort (In 1 View)
                                                                                                          natural sinks degradation curve slope (In 1 View)         natural sinks degradation curve slope (In 1 View)
                                                                                                          imitation coefficient transition (In 1 View)         imitation coefficient transition (In 1 View)
                                                                                                          imitation coefficient transition back (In 1 View)         imitation coefficient transition back (In 1 View)
                                                                                                          initial Population with high-affluence lifestyle (In 1 View)         initial Population with high-affluence lifestyle (In 1 View)
                                                                                                          perception delay (In 1 View)         perception delay (In 1 View)
                                                                                                          initial Population with low-affluence lifestyle (In 1 View)         initial Population with low-affluence lifestyle (In 1 View)
                                                                                                          total attractiveness of all lifestyle (In 1 View)         total attractiveness of all lifestyle (In 1 View)
                                                                                                          relative attractiveness of low-affluence lifestyle (In 1 View)         relative attractiveness of low-affluence lifestyle (In 1 View)
                                                                                                          relative attractiveness of high-afflluence lifestyle (In 1 View)         relative attractiveness of high-afflluence lifestyle (In 1 View)
                                                                                                          transition back innovators fraction (In 1 View)         transition back innovators fraction (In 1 View)
                                                                                                          mitigation technology implemented (In 1 View)         mitigation technology implemented (In 1 View)
                                                                                                          reference technology (In 1 View)         reference technology (In 1 View)
                                                                                                          mitigation technology development rate (In 1 View)         mitigation technology development rate (In 1 View)
                                                                                                          time to implement mitigation technology (In 1 View)         time to implement mitigation technology (In 1 View)
                                                                                                          adaptation capacity increase rate (In 1 View)         adaptation capacity increase rate (In 1 View)
                                                                                                          time to implement adaptation capacity (In 1 View)         time to implement adaptation capacity (In 1 View)
                                                                                                          impacts absorption time (In 1 View)         impacts absorption time (In 1 View)
                                                                                                          technology effect (In 1 View)         technology effect (In 1 View)
                                                                                                          natural sinks degradation due to cumulative impacts threshold (In 1 View)         natural sinks degradation due to cumulative impacts threshold (In 1 View)
                                                                                                          natural sinks degradation due to cumulative impacts multiplier (In 1 View)         natural sinks degradation due to cumulative impacts multiplier (In 1 View)
                                                                                                          transition back to high-affluence lifestyle (In 1 View)         transition back to high-affluence lifestyle (In 1 View)
                                                                                                          total population (In 1 View)         total population (In 1 View)
                                                                                                          transition to low-affluence lifestyle (In 1 View)         transition to low-affluence lifestyle (In 1 View)
                                                                                                          transition innovators fraction (In 1 View)         transition innovators fraction (In 1 View)
                                                                                                          reference impacts absorption time (In 1 View)         reference impacts absorption time (In 1 View)
                                                                                                          FINAL TIME (In 1 View)         FINAL TIME (In 1 View)
                                                                                                          INITIAL TIME (In 1 View)         INITIAL TIME (In 1 View)
                                                                                                          SAVEPER (In 1 View)         SAVEPER (In 1 View)
                                                                                                          TIME STEP (In 1 View)         TIME STEP (In 1 View)
                                                                                                          Total: 4 141 7 Total:
                                                                                                           
                                                                                                          Not in View
                                                                                                          View 1
                                                                                                          View 2
                                                                                                           

                                                                                                          Source File: C:\Users\G C\OneDrive - UNSW\Societal Progress and Human Well-being\ECOSummit 2023 Conference\Idea1 - Adaptation trap\Submission\Second Submission\Model\Finalised Version\Environment - Societal Responses Model.mdl (Tue Feb 24 21:38:59 CET 2026)
                                                                                                          Report Created On Tue Feb 24 21:40:55 CET 2026
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                                                                                                          Decision and Infrastructure Sciences Division
                                                                                                          Argonne National Laboratory