Research on eco-efficiency measurement, spatiotemporal analysis and prosperity warning based on the three-stage chain network SBM and MS-DDFM

This paper studies the changes of ecological efficiency (eco-efficiency) boom in China. Firstly, based on the improvement of the three-stage slack-based model (SBM), a hybrid chain network model is used to clarify the internal development structure of eco-efficiency. Then, Taking eco-efficiency as the benchmark indicator, the boom warning indicators are screened by comprehensively considering the correlation analysis of time difference, Kullback-Leibler (K-L) information and peak valley correspondence method. The Markov regime switching dynamic dual factor model (MS-DDFM) is used to fit the leading indicators and consistent indicators in the field of eco-efficiency prosperity. The empirical results show that the sub-efficiencies of the three-stage are not consistent, and most of the years with high efficiency in the second stage. In addition, there are differences and fluctuations of the eco-efficiency in different regions. The value of the eco-efficiency in eastern region is larger than average value of China, while the result is just the opposite for the central and western regions. In general, the eco-efficiency of China is in a prosperous state of operation.