Lu, Binbin and Brunsdon, Chris and Charlton, Martin and Harris, Paul (2017) Geographically weighted regression with parameter-specific distance metrics. International Journal of Geographical Information Science, 31 (5). pp. 982-998. ISSN 1365-8816

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Abstract

Geographically weighted regression (GWR) is an important local technique to model spatially varying relationships. A single distance metric (Euclidean or non-Euclidean) is generally used to calibrate a standard GWR model. However, variations in spatial relationships within a GWR model might also vary in intensity with respect to location and direction. This assertion has led to extensions of the standard GWR model to mixed (or semiparametric)GWR and to flexible bandwidth GWR models. In this article, we present a strongly related extension in fitting a GWR model with parameter-specific distance metrics (PSDM GWR). As with mixed and flexible bandwidth GWR models, a back-fitting algorithm is used for the calibration of the PSDM GWR model. The value of this new GWR model is demonstrated using a London house price data set as a case study. The results indicate that the PSDM GWR model can clearly improve the model calibration in terms of both goodness of fit and prediction accuracy, in contrast to the model fits when only one metric is singly used. Moreover, the PSDM GWR model provides added value in understanding how a regression model’s relationships may vary at different spatial scales, according to the bandwidths and distance metrics selected. PSDM GWR deals with spatial heterogeneities in data relationships in a general way, although questions remain on its model diagnostics, distance metric specification, and computational efficiency, providing options for further research.

Item Type:	Article
Keywords:	GWR; GWmodel; local regression; spatial heterogeneity; model anisotropy
Academic Unit:	Faculty of Social Sciences > Geography
Item ID:	10976
Identification Number:	https://doi.org/10.1080/13658816.2016.1263731
Depositing User:	Martin Charlton
Date Deposited:	07 Aug 2019 14:45
Journal or Publication Title:	International Journal of Geographical Information Science
Publisher:	Taylor & Francis
Refereed:	Yes
URI:	https://www.tandfonline.com/toc/tgis20/c...
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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