[Structural Characteristics of Urban-rural Integrated Development Networks and Their Carbon Emission Effects].

Exploring the structural characteristics of the spatial correlation network of urban-rural integrated development and its impact on carbon emission intensity can provide a scientific basis for the deep integration of urban-rural integrated development and regional carbon reduction. This study selected 281 cities in China from 2011 to 2022 as samples to construct indicators for measuring and analyzing the spatiotemporal differentiation characteristics of the level of urban-rural integration development in China. The social network analysis method was used to analyze the spatial correlation network structure characteristics of urban-rural integration development， and the fixed effects model and threshold effect model were used to test the carbon emission effect of spatial correlation network centrality. The results indicate that： ① From 2011 to 2022， the overall level of integrated urban-rural development in China showed a temporal pattern of "first increasing and then decreasing" and a spatial pattern of "gradient decreasing from east to west." ② At the city scale， the level of integrated urban-rural development in China presented obvious spatial correlation network characteristics， with a relatively stable overall structure. The number of correlation relationships and the overall network density value showed an upward trend， and urban agglomerations such as the Beijing Tianjin Hebei and Yangtze River Delta were at the core of the network. ③ There was a significant relationship between the spatial correlation network for urban-rural integration development and carbon emission intensity， which varied significantly in different economic belts， geographical locations， and urban sizes. This result was found to be stable after a series of robustness tests. ④ The centrality of the spatial correlation network for urban-rural integration development had a dual threshold effect on carbon emission intensity with carbon emission performance and regional economic development level as the threshold. When the carbon emission performance and regional economic development level exceeded the threshold value， the carbon emission reduction effect of the centrality of the urban-rural integrated development spatial correlation network was enhanced.