Harris, Paul, Brunsdon, Chris and Charlton, Martin (2011) Geographically weighted principal components analysis. International Journal of Geographical Information Science, 25 (10). pp. 1717-1736. ISSN 1365-8816
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Abstract
Principal components analysis (PCA) is a widely used technique in the social and
physical sciences. However in spatial applications, standard PCA is frequently applied
without any adaptation that accounts for important spatial effects. Such a naive applica-
tion can be problematic as such effects often provide a more complete understanding of
a given process. In this respect, standard PCA can be (a) replaced with a geographically
weighted PCA (GWPCA), when we want to account for a certain spatial heterogeneity;
(b) adapted to account for spatial autocorrelation in the spatial process; or (c) adapted
with a specification that represents a mixture of both (a) and (b). In this article, we focus
on implementation issues concerning the calibration, testing, interpretation and visual-
isation of the location-specific principal components from GWPCA. Here we initially
consider the basics of (global) principal components, then consider the development
of a locally weighted PCA (for the exploration of local subsets in attribute-space) and
finally GWPCA. As an illustration of the use of GWPCA (with respect to the imple-
mentation issues we investigate), we apply this technique to a study of social structure
in Greater Dublin, Ireland.
| Item Type: | Article |
|---|---|
| Keywords: | PCA; GWPCA; bandwidth selection; visualisation; nonstationarity; GWR; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > National Centre for Geocomputation, NCG |
| Item ID: | 5759 |
| Identification Number: | 10.1080/13658816.2011.554838 |
| Depositing User: | Martin Charlton |
| Date Deposited: | 03 Feb 2015 10:39 |
| Journal or Publication Title: | International Journal of Geographical Information Science |
| Publisher: | Taylor & Francis |
| Refereed: | Yes |
| Related URLs: | |
| 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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