Spatial structure analysis of regionalized compositions |
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| Authors: | V Pawlowsky and H Burger |
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| Institution: | (1) Department de Matemàtica Aplicada III, E.T.S. d'Enginyers de Camins, Canals i Ports, Universitat Politècnica de Catalunya, Gran Capitán, s/n, 08034 Barcelona, Spain;(2) Institut für Geologie, Fachrichtung Geoinformatik, Freie Universität Berlin, Malteserstr. 74-100 (Haus D), 1000 Berlin 46, Federal Republic of Germany |
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| Abstract: | Like compositions in general, regionalized compositions present the problem of spurious spatial correlation. To avoid this problem, this paper uses the additive-logratio transformation of regionalized compositions, following techniques introduced over the last few years for the statistical analysis of compositional data. It leads to an appropriate definition of a spatial covariance structure to describe spatial dependence between regionalized variables subject to constant-sum constraints in the case of weak stationarity. To illustrate stated problems, simulated data are used. |
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| Keywords: | compositional data co-regionalization regionalized composition additive-logratio transformation cross-covariance |
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