Nonlinear Correlation Between Urban Common Prosperity and Healthy Development: A Multi-Source Big Data-Based System Analysis

China pushes forward two key national strategies, namely common prosperity and Healthy China. Many papers have discussed how urban common prosperity and urban healthy development evolve across space, yet most of these works cannot match the practical needs of local high-quality urban construction in Guangdong. This study takes various cities in Guangdong Province as the research area and utilizes multi-source big data from 2010 to 2025 so that it constructs a multidimensional evaluation system for the two major systems. Subsequently, this research employs methods including a deep weighted neural network to conduct empirical analysis. The results show that the urban common prosperity index in Guangdong Province exhibits an overall continuous upward trend. However, common prosperity gradually deviates from the development pattern that matches the economic driving forces. Meanwhile, the prominent advantages of urban healthy development gradually shift from eastern Guangdong to the core area of the Pearl River Delta, which establishes an overwhelming leading position for the Pearl River Delta. Furthermore, the regional development level plays a certain promoting role in healthy development. Spatially, common prosperity and urban healthy development exhibit phased non-linear characteristics, which encompass synchronous growth, growth rate divergence, and trend deviation. This study provides empirical evidence and practical support for Guangdong Province so that policymakers can comprehensively advance common prosperity and healthy city construction. Ultimately, these efforts optimize the regional development layout, which promotes high-quality and sustainable urban development.