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Lookup NU author(s): Professor Emilio Porcu
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© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. The paper tackles the problem of simulating isotropic vector-valued Gaussian random fields defined over the unit two-dimensional sphere embedded in the three-dimensional Euclidean space. Such random fields are used in different disciplines of the natural sciences to model observations located on the Earth or in the sky, or direction-dependent subsoil properties measured along borehole core samples. The simulation is obtained through a weighted sum of finitely many spherical harmonics with random degrees and orders, which allows accurately reproducing the desired multivariate covariance structure, a construction that can actually be generalized to the simulation of isotropic vector random fields on the d-dimensional sphere. The proposed algorithm is illustrated with the simulation of bivariate random fields whose covariances belong to the F, spectral Matérn and negative binomial classes of covariance functions on the two-dimensional sphere.
Author(s): Emery X, Porcu E
Publication type: Article
Publication status: Published
Journal: Stochastic Environmental Research and Risk Assessment
Year: 2019
Volume: 33
Pages: 1659–1667
Print publication date: 01/09/2019
Online publication date: 16/08/2019
Acceptance date: 02/04/2018
ISSN (print): 1436-3240
ISSN (electronic): 1436-3259
Publisher: Springer New York LLC
URL: https://doi.org/10.1007/s00477-019-01717-8
DOI: 10.1007/s00477-019-01717-8
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