Geostatistical Fisher discriminant analysis

R. Tolosana-Delgado, J. McKinley, K. G. van den Boogaart

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)
102 Downloads (Pure)

Abstract

A geostatistical version of the classical Fisher rule (linear discriminant analysis) is presented.This method is applicable when a large dataset of multivariate observations is available within a domain split in several known subdomains, and it assumes that the variograms (or covariance functions) are comparable between subdomains, which only differ in the mean values of the available variables. The method consists on finding the eigen-decomposition of the matrix W-1B, where W is the matrix of sills of all direct- and cross-variograms, and B is the covariance matrix of the vectors of weighted means within each subdomain, obtained by generalized least squares. The method is used to map peat blanket occurrence in Northern Ireland, with data from the Tellus
survey, which requires a minimal change to the general recipe: to use compositionally-compliant variogram tools and models, and work with log-ratio transformed data.
Original languageEnglish
Title of host publicationThe Proceedings of the 17th annual conference of the International Association for Mathematical Geosciences
PublisherIAMG
Pages281-289
Number of pages9
ISBN (Print)9783000503375 (DVD)
Publication statusPublished - Sep 2015
EventThe 17th Annual Conference of the International Association of Mathematical Geosciences (IAMG) - Freiberg, Germany
Duration: 05 Sep 201513 Sep 2015

Conference

ConferenceThe 17th Annual Conference of the International Association of Mathematical Geosciences (IAMG)
CountryGermany
CityFreiberg
Period05/09/201513/09/2015

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  • Projects

    R6774GGY: TELLUS Border

    McKinley, J. & Ruffell, A.

    01/08/2010 → …

    Project: Research

    Cite this

    Tolosana-Delgado, R., McKinley, J., & van den Boogaart, K. G. (2015). Geostatistical Fisher discriminant analysis. In The Proceedings of the 17th annual conference of the International Association for Mathematical Geosciences (pp. 281-289). IAMG. http://www.iamg2015.de/