Lu, Binbin and Charlton, Martin and Brunsdon, Chris and Harris, Paul
(2015)
The Minkowski approach for choosing the
distance metric in geographically weighted
regression.
International Journal of Geographical Information Science, 30 (2).
pp. 1-18.
ISSN 1365-8824
Abstract
In this study, the geographically weighted regression (GWR) model
is adapted to benefit from a broad range of distance metrics,
where it is demonstrated that a well-chosen distance metric can
improve model performance. How to choose or define such a
distance metric is key, and in this respect, a ‘Minkowski approach’
is proposed that enables the selection of an optimum distance
metric for a given GWR model. This approach is evaluated within a
simulation experiment consisting of three scenarios. The results
are twofold: (1) a well-chosen distance metric can significantly
improve the predictive accuracy of a GWR model; and (2) the
approach allows a good approximation of the underlying ‘optimal
distance metric’, which is considered useful when the ‘true’ distance
metric is unknown.
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