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Lookup NU author(s): Professor Emilio Porcu
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This work addresses the question of building useful and valid models of anisotropic variograms for spatial data that go beyond classical anisotropy models, such as the geometric and zonal ones. Using the concept of principal irregular term, variograms are considered, in a quite general setting, having regularity and scale parameters that can potentially vary with the direction. It is shown that if the regularity parameter is a continuous function of the direction, it must necessarily be constant. Instead, the scale parameter can vary in a continuous or discontinuous fashion with the direction. A directional mixture representation for anisotropies is derived, in order to build a very large class of models that allow to go beyond classical anisotropies. A turning band algorithm for the simulation of Gaussian anisotropic processes, obtained from the mixture representation, is then presented and illustrated.
Author(s): Allard D, Senoussi R, Porcu E
Publication type: Article
Publication status: Published
Journal: Mathematical Geosciences
Year: 2016
Volume: 48
Issue: 3
Pages: 305-328
Print publication date: 01/04/2016
Online publication date: 08/04/2015
Acceptance date: 26/03/2015
ISSN (print): 1874-8961
ISSN (electronic): 1874-8953
Publisher: Springer
URL: https://doi.org/10.1007/s11004-015-9594-x
DOI: 10.1007/s11004-015-9594-x
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