Evaluating Urban–Rural Disparity of Public Facilities Provision in Chengdu–Chongqing: An Equity Index Approach with Multi-Source Data

Urban–rural public facility disparity is a systemic challenge that reflects dysfunctional feedback loops within and across social and technical subsystems. Traditional administrative-unit-based analyses cannot capture such systemic alignments. This study applies the marker-controlled watershed segmentation (MWS) algorithm, the Two-Step Floating Catchment Area (2SFCA) method, and spatial clustering methods sequentially to dynamically separate urban from rural areas and assess the urban–rural disparity in public facility provisions within the Chengdu–Chongqing economic circle (CCEC). The results indicate: (1) The distribution of public facilities in the CCEC is characterized by significant spatial inequity, predominantly manifested as a substantial disparity between urban and rural areas. (2) A significant misalignment exists between the supply of public facilities and the demands of vulnerable groups. Rural residents, low-income groups, and elderly people are at a disadvantage in accessing public facilities. (3) Rural residents are concentrated in low-income areas and have the most limited ability to obtain public facility services and resources, especially in terms of healthcare facilities. By replacing predefined administrative boundaries with image-derived functional urban–rural patches, the proposed framework enables a more spatially realistic assessment of urban–rural public facility disparities. This approach provides a transferable tool for system-level decision-making in regional planning, particularly for targeting resource allocation in underserved areas.