Study on the Distribution of PM Emission Rights in Various Provinces of China Based on a New Efficiency and Equity Two-Objective DEA Model

Under the premise that the total emissions of \(PM\) (Particulate matter) of air pollution is established, the allocation of \(PM\) emission rights in various provinces of China is the feasible way to governance the ash haze. In this paper, a Data Envelopment Analysis ( \(DEA\) ) model that takes into account the objectives of efficiency and equity is constructed. On the basis of evaluating the \(PM\) emission performance of various provinces in China, the corresponding allocation steps are put forward. Then, the results of the \(DEA\) model and information entropy are compared. The research shows that: (1) Under the same constraint conditions, the emission right of \(PM\) is allocated with \(DEA\) model, which leads to lower cost, less fluctuation of distribution amount and higher overall national performance. (2) The population \(Gini\) coefficient method is used to evaluate and it is found that the \(Gini\) coefficient value is smaller according to the distribution results of \(DEA\) model, indicating that the \(PM\) emission amount is more fairly distributed among provinces. The functions of this paper are as follows: (1) A new double-objective \(DEA\) model is constructed, which is suitable for multi-agent performance evaluation with multiple objectives; (2) A scheme to allocate \(PM\) among provinces is proposed, which can provide reference for the practice of haze reduction in China.