ePrints

Anisotropy Models for Spatial Data

Lookup NU author(s): Professor Emilio Porcu

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.

Abstract

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.

Publication metadata

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

Altmetrics

Share