A hierarchical bayesian model for spatial prediction of multivariate non-gaussian random fields

As most georeferenced data sets are multivariate and concern variables of different types, spatial mapping methods must be able to deal with such data. The main difficulties are the prediction of non-Gaussian variables and the modeling of the dependence between processes. The aim of this article is to present a new hierarchical Bayesian approach that permits simultaneous modeling of dependent Gaussian, count, and ordinal spatial fields. This approach is based on spatial generalized linear mixed models. We use a moving average approach to model the spatial dependence between the processes. The method is first validated through a simulation study. We show that the multivariate model has better predictive abilities than the univariate one. Then the multivariate spatial hierarchical model is applied to a real data set collected in French Guiana to predict topsoil patterns.

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Main Authors: Chagneau, Pierrette, Mortier, Frédéric, Picard, Nicolas, Braco, Jean-noël
Format: article biblioteca
Language:eng
Subjects:U10 - Informatique, mathématiques et statistiques, P31 - Levés et cartographie des sols, P11 - Drainage, modèle mathématique, cartographie, terre arable, sciences du sol, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_1344, http://aims.fao.org/aos/agrovoc/c_18948, http://aims.fao.org/aos/agrovoc/c_7188, http://aims.fao.org/aos/agrovoc/c_3093, http://aims.fao.org/aos/agrovoc/c_3081,
Online Access:http://agritrop.cirad.fr/559948/
http://agritrop.cirad.fr/559948/1/document_559948.pdf
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spelling dig-cirad-fr-5599482024-01-28T19:11:42Z http://agritrop.cirad.fr/559948/ http://agritrop.cirad.fr/559948/ A hierarchical bayesian model for spatial prediction of multivariate non-gaussian random fields. Chagneau Pierrette, Mortier Frédéric, Picard Nicolas, Braco Jean-noël. 2011. Biometrics, 67 (1) : 97-105.https://doi.org/10.1111/j.1541-0420.2010.01415.x <https://doi.org/10.1111/j.1541-0420.2010.01415.x> A hierarchical bayesian model for spatial prediction of multivariate non-gaussian random fields Chagneau, Pierrette Mortier, Frédéric Picard, Nicolas Braco, Jean-noël eng 2011 Biometrics U10 - Informatique, mathématiques et statistiques P31 - Levés et cartographie des sols P11 - Drainage modèle mathématique cartographie terre arable sciences du sol http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_1344 http://aims.fao.org/aos/agrovoc/c_18948 http://aims.fao.org/aos/agrovoc/c_7188 Guyane française France http://aims.fao.org/aos/agrovoc/c_3093 http://aims.fao.org/aos/agrovoc/c_3081 As most georeferenced data sets are multivariate and concern variables of different types, spatial mapping methods must be able to deal with such data. The main difficulties are the prediction of non-Gaussian variables and the modeling of the dependence between processes. The aim of this article is to present a new hierarchical Bayesian approach that permits simultaneous modeling of dependent Gaussian, count, and ordinal spatial fields. This approach is based on spatial generalized linear mixed models. We use a moving average approach to model the spatial dependence between the processes. The method is first validated through a simulation study. We show that the multivariate model has better predictive abilities than the univariate one. Then the multivariate spatial hierarchical model is applied to a real data set collected in French Guiana to predict topsoil patterns. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/559948/1/document_559948.pdf application/pdf Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1111/j.1541-0420.2010.01415.x 10.1111/j.1541-0420.2010.01415.x http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=211421 info:eu-repo/semantics/altIdentifier/doi/10.1111/j.1541-0420.2010.01415.x info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1111/j.1541-0420.2010.01415.x
institution CIRAD FR
collection DSpace
country Francia
countrycode FR
component Bibliográfico
access En linea
databasecode dig-cirad-fr
tag biblioteca
region Europa del Oeste
libraryname Biblioteca del CIRAD Francia
language eng
topic U10 - Informatique, mathématiques et statistiques
P31 - Levés et cartographie des sols
P11 - Drainage
modèle mathématique
cartographie
terre arable
sciences du sol
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_1344
http://aims.fao.org/aos/agrovoc/c_18948
http://aims.fao.org/aos/agrovoc/c_7188
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
U10 - Informatique, mathématiques et statistiques
P31 - Levés et cartographie des sols
P11 - Drainage
modèle mathématique
cartographie
terre arable
sciences du sol
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_1344
http://aims.fao.org/aos/agrovoc/c_18948
http://aims.fao.org/aos/agrovoc/c_7188
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
spellingShingle U10 - Informatique, mathématiques et statistiques
P31 - Levés et cartographie des sols
P11 - Drainage
modèle mathématique
cartographie
terre arable
sciences du sol
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_1344
http://aims.fao.org/aos/agrovoc/c_18948
http://aims.fao.org/aos/agrovoc/c_7188
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
U10 - Informatique, mathématiques et statistiques
P31 - Levés et cartographie des sols
P11 - Drainage
modèle mathématique
cartographie
terre arable
sciences du sol
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_1344
http://aims.fao.org/aos/agrovoc/c_18948
http://aims.fao.org/aos/agrovoc/c_7188
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
Chagneau, Pierrette
Mortier, Frédéric
Picard, Nicolas
Braco, Jean-noël
A hierarchical bayesian model for spatial prediction of multivariate non-gaussian random fields
description As most georeferenced data sets are multivariate and concern variables of different types, spatial mapping methods must be able to deal with such data. The main difficulties are the prediction of non-Gaussian variables and the modeling of the dependence between processes. The aim of this article is to present a new hierarchical Bayesian approach that permits simultaneous modeling of dependent Gaussian, count, and ordinal spatial fields. This approach is based on spatial generalized linear mixed models. We use a moving average approach to model the spatial dependence between the processes. The method is first validated through a simulation study. We show that the multivariate model has better predictive abilities than the univariate one. Then the multivariate spatial hierarchical model is applied to a real data set collected in French Guiana to predict topsoil patterns.
format article
topic_facet U10 - Informatique, mathématiques et statistiques
P31 - Levés et cartographie des sols
P11 - Drainage
modèle mathématique
cartographie
terre arable
sciences du sol
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_1344
http://aims.fao.org/aos/agrovoc/c_18948
http://aims.fao.org/aos/agrovoc/c_7188
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
author Chagneau, Pierrette
Mortier, Frédéric
Picard, Nicolas
Braco, Jean-noël
author_facet Chagneau, Pierrette
Mortier, Frédéric
Picard, Nicolas
Braco, Jean-noël
author_sort Chagneau, Pierrette
title A hierarchical bayesian model for spatial prediction of multivariate non-gaussian random fields
title_short A hierarchical bayesian model for spatial prediction of multivariate non-gaussian random fields
title_full A hierarchical bayesian model for spatial prediction of multivariate non-gaussian random fields
title_fullStr A hierarchical bayesian model for spatial prediction of multivariate non-gaussian random fields
title_full_unstemmed A hierarchical bayesian model for spatial prediction of multivariate non-gaussian random fields
title_sort hierarchical bayesian model for spatial prediction of multivariate non-gaussian random fields
url http://agritrop.cirad.fr/559948/
http://agritrop.cirad.fr/559948/1/document_559948.pdf
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AT bracojeannoel ahierarchicalbayesianmodelforspatialpredictionofmultivariatenongaussianrandomfields
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AT mortierfrederic hierarchicalbayesianmodelforspatialpredictionofmultivariatenongaussianrandomfields
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