This module computes reginal emission caps both in absolute terms and as share of global emissions. In a setting with emissions trading these caps represent allocated permits and permit shares, respectively. The allocation of caps and permits is based on different burden sharing rules.
| Description | Unit | A | B | C | D | E | F | G | |
|---|---|---|---|---|---|---|---|---|---|
| cm_emiscen | policy scenario choice | x | x | x | |||||
| cm_permittradescen | scenario on permit trade | x | x | ||||||
| pm_budgetCO2eq (all_regi) |
budget for regional energy-emissions in period 1 | x | |||||||
| pm_emicapglob (tall) |
global emission cap | x | x | x | x | x | x | ||
| pm_gdp (tall, all_regi) |
GDP data | \(trn US\$ 2005\) | x | ||||||
| pm_gdp_gdx (tall, all_regi) |
GDP path from gdx, updated iteratively. | x | |||||||
| pm_pop (tall, all_regi) |
population data | \(bn people\) | x | x | x | x | |||
| pm_shPerm (tall, all_regi) |
emission permit shares | x | x | x | x | x | x | x | |
| pm_shPPPMER (all_regi) |
PPP ratio for calculating GDP|PPP from GDP|MER | x | |||||||
| sm_budgetCO2eqGlob | budget for global energy-emissions in period 1 | x | |||||||
| vm_co2eqGlob (ttot) |
global emissions to be balanced by allowances. | \(GtCeq\) | x | x | x | ||||
| vm_dummyBudget (ttot, all_regi) |
auxiliary variable that helps to meet permit allocation equation in nash case | x | |||||||
| vm_Mport (tall, all_regi, all_enty) |
Import of traded commodity. | x | x | x | |||||
| vm_perm (ttot, all_regi) |
emission allowances | x | x | x | x | x | x | x | |
| vm_Xport (tall, all_regi, all_enty) |
Export of traded commodity. | x | x | x |
Emission caps/permits are allocated according to the ability to pay principle
Emission caps/permits are allocated according to the ability to pay principle
Emission caps/permits are allocated according to the ability to pay principle
Limitations There are no known limitations.
Emission caps/permits are allocated according to the contraction and convergence rule (transition towards equal per capita allocation; with reference years 2005 and 2050)
Emission caps/permits are allocated according to the contraction and convergence rule (transition towards equal per capita allocation; with reference years 2005 and 2050)
\[\begin{multline*} vm\_perm(t,regi) = pm\_shPerm(t,regi) \cdot \left(vm\_co2eqGlob(t) \$\left(cm\_emiscen ne 4\right) + pm\_emicapglob(t) \$\left(cm\_emiscen eq 4\right)\right) \end{multline*}\]
Emission caps/permits are allocated according to the contraction and convergence rule (transition towards equal per capita allocation; with reference years 2005 and 2050)
Limitations There are no known limitations.
Emission caps/permits are allocated from an exogenous emission path that have to be provided “manually”
Emission caps/permits are allocated from an exogenous emission path that have to be provided “manually”
Emission caps/permits are allocated from an exogenous emission path that have to be provided “manually”
Limitations There are no known limitations.
Emission caps/permits are allocated according to GDP intensity
Emission caps/permits are allocated according to GDP intensity
\[\begin{multline*} vm\_perm(t,regi) = pm\_shPerm(t,regi) \cdot \left(vm\_co2eqGlob(t) \$\left(cm\_emiscen ne 4\right) + pm\_emicapglob(t) \$\left(cm\_emiscen eq 4\right)\right) \end{multline*}\]
Emission caps/permits are allocated according to GDP intensity
Limitations There are no known limitations.
No allocation of regional emission caps/permits - applies to tax scenarios and no-tax scenarios without permit trading
No allocation of regional emission caps/permits - applies to tax scenarios and no-tax scenarios without permit trading
No allocation of regional emission caps/permits - applies to tax scenarios and no-tax scenarios without permit trading
Limitations There are no known limitations.
Emission caps/permits are allocated according to the contraction and convergence rule (transition towards equal per capita allocation; with reference years 2020 and 2050)
Emission caps/permits are allocated according to the contraction and convergence rule (transition towards equal per capita allocation; with reference years 2020 and 2050)
Emission caps/permits are allocated according to the contraction and convergence rule (transition towards equal per capita allocation; with reference years 2020 and 2050)
Limitations There are no known limitations.
Emission caps/permits are allocated according to each region’s share on cumulated population
Emission caps/permits are allocated according to each region’s share on cumulated population
\[\begin{multline*} vm\_perm(t,regi) = pm\_shPerm(t,regi) \cdot \left(vm\_dummyBudget(t,regi) \$\left(cm\_emiscen eq 6\right) + vm\_co2eqGlob(t) \$\left(cm\_emiscen ne 4\right) + pm\_emicapglob(t) \$\left(cm\_emiscen eq 4\right)\right) \end{multline*}\]
Emission caps/permits are allocated according to each region’s share on cumulated population
Limitations There are no known limitations.
Limitations Permit allocation and emissions trading yield less robust results under Nash (decentralized optimization) compared to Negishi (Social planner optimization).
| Description | Unit | A | B | C | D | E | F | G | |
|---|---|---|---|---|---|---|---|---|---|
| p41_co2eq (ttot, all_regi) |
emissions from cost-optimal reference run | x | x | x | |||||
| p41_co2eq_bau (ttot, all_regi) |
emissions from no-policy baseline run | x | |||||||
| p41_convergenceyear | year of convergence of per-capita-emissions | x | |||||||
| p41_correct_factor (tall) |
correction factor so that global pathway matches | x | |||||||
| p41_emicapregi (tall, all_regi) |
exogenous regional emission cap | x | |||||||
| p41_lambda (tall) |
share parameter | x | x | x | |||||
| p41_precorrection_reduction (tall, all_regi) |
reduction as calculated from 3rd root calculation, uncorrected | x | |||||||
| p41_shEmi2005 (all_regi) |
emission shares in 2005 | x | |||||||
| p41_shEmi2020 (all_regi) |
emission shares in 2020 | x | |||||||
| q41_perm_alloc_cap (ttot, all_regi) |
emission permit allocation | x | x | x |
| description | |
|---|---|
| all_enty | all types of quantities |
| all_regi | all regions |
| in(all_in) | All inputs and outputs of the CES function |
| modules | all the available modules |
| regi(all_regi) | all regions used in the solution process |
| run | iterator for performance test iterations |
| t(ttot) | modeling time, usually starting in 2005, but later for fixed delay runs |
| tall | time index |
| ttot(tall) | time index with spin up |
Marian Leimbach, Christoph Bertram