Key points are not available for this paper at this time.
Urban parks are essential infrastructure for public health and environmental resilience, yet systematic comparative evidence on how distance constrains recreational access across metropolitan areas remains scarce. This study analyzes 60 million park visits across 20 U.S. metropolitan areas to establish mathematical relationships governing park visitation and their determinants. Park visitation universally follows exponential decay (V = αe -βd ) rather than power law scaling, with exceptional model fits (R 2 > 0.95) across diverse urban contexts. However, decay parameters vary substantially, from β = 0.090 (Minneapolis) to β = 0.211 (Detroit), creating a 2.34-fold difference in distance sensitivity. This variation produces markedly different accessibility patterns: residents in high-constraint cities experience 50% visitation decay within 3.3 km, while those in low-constraint cities maintain equivalent access to 7.7 km. Regression analysis reveals that transportation infrastructure, built environment characteristics, and sociodemographic factors collectively explain 56.3% of variation in median travel distance to parks. Transit proximity, street network design, and regional employment accessibility emerge as primary associations, while minority-predominant and car-free neighborhoods face compound disadvantages through both restricted mobility ranges and heightened distance sensitivity. These findings establish exponential decay as a consistent mathematical relationship for recreational mobility while demonstrating how local context shapes its parameters. For planning practice, uniform park service area standards may inadequately reflect actual visitation patterns, as the empirically measured half-distance at which visitation drops by 50% varies more than twofold across metropolitan areas. Calibrating park spacing to locally measured decay rates and coordinating green space provision with transportation investment could improve both the efficiency and equity of urban park systems.
Zhou et al. (Sat,) studied this question.