The Evaluation of Spatial Allocation and Sustainable Optimization Strategies for Sports Venues in Urban Planning Based on Multi-Source Data: A Case Study of Xi’an

With the development of the economy and improvements in living standards, public demand for sports activities has continued to increase. However, the supply–demand relationship of urban sports venues remains unbalanced in many cities. Existing theoretical research on the spatial allocation of sports venues predominantly focuses on macro-level functional configuration and the equitable distribution of sports resources, lacking more rigorous and quantitative evaluation frameworks for evaluating spatial allocation. This study innovatively integrates multi-source data into the assessment and sustainable optimization of sports venue allocation in urban planning, using Xi’an as a case study. By analyzing geographic information, road network topology, OpenStreetMap (OSM), population distribution, and social media Points of Interest (POI), and using analytical tools such as ArcGIS 10.8 and Stata 17, the appropriateness of resource distribution of public sports venues in Xi’an’s main urban area is evaluated from three dimensions: accessibility, equity, and spatial activity. The results reveal the appropriateness of venue distribution in urban spatial allocation, the equitable distribution of resources, and imbalances in spatial activity and resource distribution. Finally, the study proposes a series of sustainable optimization strategies, including increasing venue coverage in low-supply areas, adaptive reuse of idle industrial buildings into sports venues guided by green sustainability principles, constructing a “15-min fitness circle” spatial system, optimizing low-carbon mobility networks around venues, enhancing the compatibility of sports venues, and improving commercial operation and management capabilities. These strategies aim to optimize the distribution of public sports venues in Xi’an to improve fairness and operational efficiency in service delivery while promoting sustainable urban development.