Research on urban health check methods based on the complexity of urban spatial relationships

This paper delves into the interrelationships between urban spatial characteristics and mechanisms. It further proposes a framework for establishing a comprehensive assessment index system for urban spaces with multiscale, spatial form, and spatial diversity as the main attributes. This framework provides a methodology and toolset for the precise identification of problems in the area of living environment. In addition to considering the three basic spatial attributes, the setting of specific indicators needs to address the following requirements: firstly, clarifying the three major subsystem groups corresponding to the indicators—material environment, ecosystem services, and socio-economic aspects—to establish relationships with the basic attributes of urban spaces in subsequent diagnostic stages; secondly, considering the long-term influencing factors and short-term disturbances from human activities in determining the proportional relationships of these indicators scientifically; thirdly, taking into account the regional factors' impact on the threshold values of the index system standards. Building on the comprehensive assessment index framework, this paper proposes a toolset for problem diagnosis for urban spatial issues, encompassing a multi-scale interactive indicator analysis method, a multi-index correlation analysis method involving spatial form, and a multidimensional clustering approach tailored to spatial variations. This research identifies key thresholds influencing urban sustainable development through extensive statistical assessments of indicator values about large samples of micro-units.