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May 9, 2026ISPRS International Journal of Geo-Information1 citationsOpen Access

A Study on the Nonlinear Influence of Urban Environment on Outdoor Jogging: Based on an Interpretable GW-RF Hybrid Model

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DLDong LiMLMengmeng LiuHHHouzeng Han

Key Points

  • This research aims to understand how urban environmental factors nonlinearly influence outdoor jogging intensity.
  • Utilized an interpretable spatial machine learning framework combining GW-RF and SHAP.
  • Analyzed multi-source urban datasets along with large-scale jogging trajectory data from Beijing.
  • Employed various built and natural environmental variables to derive insights on jogging paces.
  • Built environment factors, especially street network configuration and population density, were the strongest predictors of jogging intensity.
  • Environmental variables exhibited nonlinear threshold effects; moderate NDVI and sky openness enhanced jogging, while extremes suppressed it.
  • The GW-RF model showed superior predictive performance (R2 = 0.7939, RMSE = 8.54, MAE = 5.72) compared to five benchmark models.

Abstract

Outdoor jogging is a significant component of daily physical activities that benefit public health and urban living environments. However, it is still challenging to untangle the intricate associations between environmental variables and jogging paces, due to nonlinear interactions, spatial heterogeneity, and inadequacy in model interpretability. To this end, an interpretable spatial machine learning framework based on the integration of the Geographically Weighted Random Forest (GW-RF) model and SHapley Additive exPlanations (SHAP) is proposed. Drawing on multi-source urban datasets and Beijing’s large-scale jogging trajectory data, this model allows for global and local interpretation of environmental effects on the built, natural, and visual dimensions. The findings are as follows: (1) Built environment variables demonstrate the greatest explanatory power, with street network configuration (GAC, GAI) and population density identified as the dominant predictors of jogging intensity; (2) All environmental variables exhibit nonlinear threshold effects, with SHAP analysis revealing sign-switching points and optimal ranges—moderate NDVI and sky openness promote jogging while extreme values suppress it; (3) Natural and visual variables operate within distinct comfort thresholds, where moderate annual mean temperature, green view index, and sky openness are consistently associated with higher jogging intensity; and (4) The GW-RF model achieves superior predictive performance (R2 = 0.7939, RMSE = 8.54, MAE = 5.72) over five benchmark models, confirming the necessity of spatial weighting in nonlinear ensemble learning. By revealing nonlinear response patterns and effective environmental ranges, the study presents quantitative evidence for the understanding urban physical activities and providing methodological guidance for fostering healthier and more activity-supportive urban environments.

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Cite This Study

Li et al. (2026) studied this question.

synapsesocial.com/papers/69fed056b9154b0b828775eahttps://doi.org/10.3390/ijgi15050202
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