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Geographically weighted regression with the integration of machine learning for spatial prediction

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Abstract

Conventional methods of machine learning have been widely used to generate spatial prediction models because such methods can adaptively learn the mapping relationships among spatial data with limited prior knowledge. However, the direct application of these methods to build a global model without considering spatial heterogeneity cannot accurately describe the local relationships among spatial variables, which might lead to inaccurate predictions. To avoid these shortcomings, we have presented a unified framework for handling spatial heterogeneity by incorporating the geographically weighted scheme into machine learning methods. The proposed framework has the potential to extend the existing models of machine learning for analysing heterogeneous spatial data. Furthermore, geographically weighted support vector regression (GWSVR) has been introduced as an implementation of the proposed framework. Experimental studies on environmental datasets were used to test the ability of model predictions. The results show that the mean absolute percentage error, normalized mean square error, and relative error percentage of the GWSVR model are 0.436, 0.903, and 0.558, respectively, when analysing soil metal chromium (Cr) concentrations and 0.221, 0.287, and 0.206, respectively, when predicting PM2.5 concentrations; these values are lower than those obtained using support vector regression, geographically weighted regression (GWR), and GWR-kriging models. These case studies have proved the validity and feasibility of the proposed framework.

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Acknowledgements

This study was jointly supported by the National Science Foundation of China (No. 41801311 and No. 41901406), the Natural Science Foundation of Hunan, China (No. 2021JJ30245), the Philosophy and Social Science Foundation of Hunan Province, China (No. 18YBQ050), and the Scientific Research Fund of Hunan Provincial Education Department (No. 19C0777).

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Authors and Affiliations

  1. National-Local Joint Engineering Laboratory of Geospatial Information Technology, Hunan University of Science and Technology, Xiangtan, Hunan, People’s Republic of China

    Wentao Yang

  2. Department of Geo-Informatics, Central South University, Changsha, Hunan, People’s Republic of China

    Min Deng, Jianbo Tang & Liang Luo

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  1. Wentao Yang
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  2. Min Deng
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Correspondence to Wentao Yang.

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Yang, W., Deng, M., Tang, J. et al. Geographically weighted regression with the integration of machine learning for spatial prediction. J Geogr Syst 25, 213–236 (2023). https://doi.org/10.1007/s10109-022-00387-5

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