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The energy crisis is a major challenge to sustainable development. Governments therefore constantly seek ways to improve energy conservation. In this paper, our goal was to promote energy conservation and simultaneously increase employment. First, based on China's current regional energy conservation model, social energy costs and employment factors are comprehensively considered to construct an inter-provincial cooperative energy conservation model, the minimal core method is used to construct a cooperative interprovincial benefit-distribution model. Second, representative regions of China (Beijing, Shanghai, Shanxi, and Sichuan) were selected to demonstrate the model in an empirical analysis of cooperative provincial energy conservation. It was found that the total employment in Beijing, Shanghai, Shanxi, and Sichuan can be increased by 9.84 × 106 persons, and the total social energy cost can be decreased by US$59.22 × 106. The cooperative benefit distribution model can increase the total benefit by US$65.28 × 106. Finally, to verify the robustness and feasibility of the model, the sensitivity of the model to these changes is analyzed by changing the parameter values, and it was found that the model was both robust and feasible. The research results provide a new way to improve China's current energy conservation model. • The inter-provincial cooperation model for employment and social energy costs (i.e. bi-objective model). • Constructs a social energy cost function. • Considers energy structure factors. • Uses the minimal core method for benefit distribution. [ABSTRACT FROM AUTHOR]

Coupled human and natural system research is an urgent issue in the Anthropocene. However, this has not yet been conducted from the perspective of multiplex networks, which are a powerful tool to elucidate the interactions in human-natural systems. This paper establishes a framework of human-water multiplex networks (HWMNs) to explain the combined effects of human-water interactions in the Yangtze River basin. The spatial linkages and the status of each province in the Yangtze River basin can be characterized through the index of network flow and topology. Research demonstrated that the highest import flow of the virtual water environment capacity flow in the Yangtze River Basin is to Jiangsu Province, at 16.2 thousand t. The highest export flow in the Yangtze River Basin is from Shanghai city, at 33.2 thousand t. The control power of Shanghai city over Sichuan Province accounts for 56.59% of the water resources, which is the highest value and can be recognized as one type of telecoupling of water resources. The provinces in the delta of the Yangtze River basin, including Shanghai city, Jiangsu Province and Zhejiang Province, benefit the most from economic trade. The community structure of the virtual water environment capacity flow is highly consistent with the geographical distribution of the Yangtze River basin. Comprehensive research methods combined with network flow analysis and network topology analysis provide more general results. The microenvironmental effect of indirect pollutant discharge is uncovered through HWMNs. This research can provide a more connected view of integrated water management. Image 1 • A framework of HWMN is established to reveal the combined environmental effects. • The key provinces are revealed through the network flow analysis and topology analysis. • The provinces in the Yangtze river delta obtains most of the water environment benefits. • The environmental effect of the indirect pollutant discharge through HWMN is revealed. [ABSTRACT FROM AUTHOR]