MURAL - Maynooth University Research Archive Library



    Geographically weighted principal components analysis


    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

    [thumbnail of MC_Geog weighted.pdf]
    Preview
    Text
    MC_Geog weighted.pdf

    Download (3MB) | Preview

    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:
    URI: https://mu.eprints-hosting.org/id/eprint/5759
    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

    Repository Staff Only (login required)

    Item control page
    Item control page

    Downloads

    Downloads per month over past year

    Origin of downloads