Clarifying the spatial correlation network structure of green development efficiency (GDE) is of great significance for realizing coordinated and sustainable development in China. By constructing the evaluation index system of GDE, this study used the super epsilon-based measure (EBM) model that considers undesirable output to measure the GDE of China from 2000 to 2018, based on which the characteristics of the spatial correlation network characteristics and influencing factors were analyzed using social network analysis (SNA) and a geographical detector. The results indicated that: (1) The GDE of China as a whole remained relatively stable, and there was a significant spatial spillover effect of GDE between provinces; the spatial correlation network demonstrated complex and dense characteristics, and the closeness and stability of the network gradually increased. However, the strict hierarchical structure of the network still existed. (2) The eastern coastal provinces exhibited significant spillover effects and connectivity functions, while the northeastern and central-western provinces are located at the edges of the spatial correlation network. (3) The GDE spatial correlation network is divided into a leader subgroup, bridge subgroup and net benefit subgroup, with no isolated subgroup. (4) The economic development level, urbanization and financial development have a decisive impact on the formation of the GDE spatial correlation network.
Advancing the coordinated and mutually beneficial development of green development and common prosperity is an objective requirement for constructing modernization with Chinese characteristics. Based on clarifying the mechanisms of the coordinated evolution, this study employs the Haken model to quantitatively measure the relationship between green development and common prosperity and characterize the spatial and temporal patterns of the synergistic relationship between the two. Finally, the random forest model is used to analyze the driving factors affecting their coordinated evolution. The results indicate that: (1) From 2011 to 2022, China's green development efficiency and common prosperity index showed a fluctuating growth. The national green development has progressed to form a distinct northwest to southeast gradient differentiation pattern, with the Beijing and the Yangtze River Delta leading in advancing common prosperity. (2) During the study period, the level of synergy between green development and common prosperity rose significantly, presenting a spatial pattern of "stronger in the east and weaker in the west", a continuous narrowing of regional differences, and the type of synergistic evolution in each region showing phased positive development. (3) The economic foundation, industrial structure, environmental regulation, financial development and digital economy can more stably promote the benign synergy and interaction between green development and common prosperity, while the driving role of government regulation first rises and then falls. The results of the study can provide a reference for China's collaborative promotion of comprehensive economic and social green transformation and common prosperity.