Spatial Econometrics of Urban Well-being: Resolving the Growth-Equity Paradox Across the 50 Largest U.S. Metropolitan Statistical Areas

Conventional urban performance metrics predominantly rely on macroeconomic aggregates, obscuring localized socio-spatial divergence and the spatial dependencies governing municipal ecosystems. This study establishes a replicable spatial-econometric framework to evaluate urban Quality of Life (QOL) equity across the 50 largest Metropolitan Statistical Areas (MSAs) in the United States. Leveraging 2021 U.S. Census Bureau American Community Survey (ACS) 5-year estimates integrated with built-environment and ecological datasets, Principal Component Analysis (PCA) was deployed to construct an orthogonal composite index (Ultimate QOLI) without subjective weighting biases. Factor loadings revealed that the Gini Index (+0.6366) and Housing Affordability (+0.5899) act as primary structural drivers of spatial polarization, while Median Household Income loaded negatively (-0.4225), demonstrating that unbridled economic expansion detached from redistributive mechanisms systematically accelerates socio-spatial exclusion.