LAUSR

Abstract The fundamental requirement of carbon abatement is to complete the carbon abatement task set, at the lowest cost. In this paper, the non-radial distance function method is used to calculate the marginal carbon abatement costs of each unit, and the statistical method is used to estimate the carbon abatement efficiency of each unit. Based on the sum of dynamic carbon abatement costs in each province, the carbon abatement task allocation is optimized, and the data before and after optimization is compared and analyzed. The main conclusions are as follows: (1) The function of carbon abatement efficiency can be estimated using the marginal cost of carbon abatement, by which, the carbon abatement cost of each province can be calculated. (2) The correlation between carbon emissions and carbon abatement efficiency of each province is weak, so the overall carbon abatement efficiency of China is low. (3) Optimizing the allocation of provincial carbon abatement tasks can significantly reduce the total carbon abatement cost and improve the carbon abatement efficiency. This study has significant theoretical and practical value for improving China's overall carbon abatement efficiency, and establishing the provincial initial carbon emission quota.