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.

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

• convergence models
• smooth pathway models
• emission probability model.

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