Sustainable development between sports facilities and ecological environment based on the dual carbon background.

The sustainable development of sports facilities and their integration with the ecological environment are crucial in addressing global environmental challenges. This study examines the coupling coordination between sports facilities and the ecological environment in nine prefecture-level cities in Fujian Province, China, from 2013 to 2020, within the framework of China's "Dual Carbon" strategy. Using a multidisciplinary approach that integrates economics, sociology, and geography, the study employs the entropy method and coupling coordination models to analyze the temporal evolution and spatial distribution of the coupling coordination between sports facilities and the ecological environment. The findings reveal that the overall trend of coupling coordination is positive, with the degree of coordination improving over time from severe imbalance in 2013 to high-quality coordination by 2020. Economic factors, such as per capita GDP, positively influence the coupling coordination, while factors like population density and regional GDP have a negative impact. Coastal cities, such as Xiamen and Zhangzhou, demonstrate stronger regional correlations and play a critical role in improving the overall coupling level of the province. This research provides several recommendations for promoting orderly and optimal development, considering the distinct characteristics of sports facilities and the ecological environment.