Distribution of a Global CO2 Budget - A Mathematical Description of Resource Sharing Models

Resource sharing models directly address the allocation of a remaining global budget among countries.

This paper shines the spotlight on the mathematical formulae of resource sharing models.

Models for determining national emission pathways are described in detail. These models are based on

• the allocation of a global emission pathway (e. g. convergence models) and
• the direct allocation of a global budget (models within the Extended Smooth Pathway Model).

Thus, this paper contributes to greater transparency and comparability through a uniform mathematical representation, by showing generalisations as well as relations, similarities, and differences between the models. It also contains mathematical proofs for specified properties of the models.