Hierarchical Bayesian model for Gaussian, poisson and ordinal random fields

As most georeferenced data sets are multivariate and concern variables of different kinds, spatial mapping methods must be able to deal with such data. The main difficulties are the prediction of non Gaussian variables and the modelling of the dependence between processes. The aim of this paper is to propose a new approach that permits simultaneous modelling of Gaussian, count and ordinal spatial processes. We consider a hierarchical model implemented within a Bayesian framework. The method used for Gaussian and count variables is based on the generalized linear mixed models. Ordinal variable is taken into account through a generalization of the ordinal probit model. We use a moving average approach to model the spatial dependence between the processes. The proposed model is applied to pedological data collected in French Guiana.

Saved in:
Bibliographic Details
Main Authors: Chagneau, Pierrette, Mortier, Frédéric, Picard, Nicolas, Bacro, Jean-Noël
Format: conference_item biblioteca
Language:eng
Published: Springer [Pays-Bas]
Subjects:U10 - Informatique, mathématiques et statistiques, P11 - Drainage, P31 - Levés et cartographie des sols, sciences du sol, modèle mathématique, http://aims.fao.org/aos/agrovoc/c_7188, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_3093, http://aims.fao.org/aos/agrovoc/c_3081,
Online Access:http://agritrop.cirad.fr/554580/
http://agritrop.cirad.fr/554580/1/document_554580.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
id dig-cirad-fr-554580
record_format koha
spelling dig-cirad-fr-5545802024-01-28T18:19:56Z http://agritrop.cirad.fr/554580/ http://agritrop.cirad.fr/554580/ Hierarchical Bayesian model for Gaussian, poisson and ordinal random fields. Chagneau Pierrette, Mortier Frédéric, Picard Nicolas, Bacro Jean-Noël. 2010. In : GeoENV VII - geostatistics for environmental applications : proceedings of the seventh European conference on geostatistics for environmental applications. Atkinson Peter M. (ed.), Lloyd Christopher D. (ed.). Dordrecht : Springer [Pays-Bas], 333-344. (Quantitative geology and geostatistics, 16) ISBN 978-90-481-2321-6 European conference on geostatistics for environmental applications. 7, Southampton, Royaume-Uni, Septembre 2008.https://doi.org/10.1007/978-90-481-2322-3_29 <https://doi.org/10.1007/978-90-481-2322-3_29> Hierarchical Bayesian model for Gaussian, poisson and ordinal random fields Chagneau, Pierrette Mortier, Frédéric Picard, Nicolas Bacro, Jean-Noël eng 2010 Springer [Pays-Bas] GeoENV VII - geostatistics for environmental applications : proceedings of the seventh European conference on geostatistics for environmental applications U10 - Informatique, mathématiques et statistiques P11 - Drainage P31 - Levés et cartographie des sols sciences du sol modèle mathématique http://aims.fao.org/aos/agrovoc/c_7188 http://aims.fao.org/aos/agrovoc/c_24199 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 kinds, spatial mapping methods must be able to deal with such data. The main difficulties are the prediction of non Gaussian variables and the modelling of the dependence between processes. The aim of this paper is to propose a new approach that permits simultaneous modelling of Gaussian, count and ordinal spatial processes. We consider a hierarchical model implemented within a Bayesian framework. The method used for Gaussian and count variables is based on the generalized linear mixed models. Ordinal variable is taken into account through a generalization of the ordinal probit model. We use a moving average approach to model the spatial dependence between the processes. The proposed model is applied to pedological data collected in French Guiana. conference_item info:eu-repo/semantics/conferenceObject Conference info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/554580/1/document_554580.pdf application/pdf Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1007/978-90-481-2322-3_29 10.1007/978-90-481-2322-3_29 http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=207094 info:eu-repo/semantics/altIdentifier/doi/10.1007/978-90-481-2322-3_29 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1007/978-90-481-2322-3_29
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
P11 - Drainage
P31 - Levés et cartographie des sols
sciences du sol
modèle mathématique
http://aims.fao.org/aos/agrovoc/c_7188
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
U10 - Informatique, mathématiques et statistiques
P11 - Drainage
P31 - Levés et cartographie des sols
sciences du sol
modèle mathématique
http://aims.fao.org/aos/agrovoc/c_7188
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
spellingShingle U10 - Informatique, mathématiques et statistiques
P11 - Drainage
P31 - Levés et cartographie des sols
sciences du sol
modèle mathématique
http://aims.fao.org/aos/agrovoc/c_7188
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
U10 - Informatique, mathématiques et statistiques
P11 - Drainage
P31 - Levés et cartographie des sols
sciences du sol
modèle mathématique
http://aims.fao.org/aos/agrovoc/c_7188
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
Chagneau, Pierrette
Mortier, Frédéric
Picard, Nicolas
Bacro, Jean-Noël
Hierarchical Bayesian model for Gaussian, poisson and ordinal random fields
description As most georeferenced data sets are multivariate and concern variables of different kinds, spatial mapping methods must be able to deal with such data. The main difficulties are the prediction of non Gaussian variables and the modelling of the dependence between processes. The aim of this paper is to propose a new approach that permits simultaneous modelling of Gaussian, count and ordinal spatial processes. We consider a hierarchical model implemented within a Bayesian framework. The method used for Gaussian and count variables is based on the generalized linear mixed models. Ordinal variable is taken into account through a generalization of the ordinal probit model. We use a moving average approach to model the spatial dependence between the processes. The proposed model is applied to pedological data collected in French Guiana.
format conference_item
topic_facet U10 - Informatique, mathématiques et statistiques
P11 - Drainage
P31 - Levés et cartographie des sols
sciences du sol
modèle mathématique
http://aims.fao.org/aos/agrovoc/c_7188
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
author Chagneau, Pierrette
Mortier, Frédéric
Picard, Nicolas
Bacro, Jean-Noël
author_facet Chagneau, Pierrette
Mortier, Frédéric
Picard, Nicolas
Bacro, Jean-Noël
author_sort Chagneau, Pierrette
title Hierarchical Bayesian model for Gaussian, poisson and ordinal random fields
title_short Hierarchical Bayesian model for Gaussian, poisson and ordinal random fields
title_full Hierarchical Bayesian model for Gaussian, poisson and ordinal random fields
title_fullStr Hierarchical Bayesian model for Gaussian, poisson and ordinal random fields
title_full_unstemmed Hierarchical Bayesian model for Gaussian, poisson and ordinal random fields
title_sort hierarchical bayesian model for gaussian, poisson and ordinal random fields
publisher Springer [Pays-Bas]
url http://agritrop.cirad.fr/554580/
http://agritrop.cirad.fr/554580/1/document_554580.pdf
work_keys_str_mv AT chagneaupierrette hierarchicalbayesianmodelforgaussianpoissonandordinalrandomfields
AT mortierfrederic hierarchicalbayesianmodelforgaussianpoissonandordinalrandomfields
AT picardnicolas hierarchicalbayesianmodelforgaussianpoissonandordinalrandomfields
AT bacrojeannoel hierarchicalbayesianmodelforgaussianpoissonandordinalrandomfields
_version_ 1792497562648838144