Spatio-Temporal Areal Unit Modeling in R with Conditional Autoregressive Priors Using the CARBayesST Package

Spatial data relating to non-overlapping areal units are prevalent in fields such as economics, environmental science, epidemiology and social science, and a large suite of modeling tools have been developed for analysing these data. Many utilize conditional autoregressive (CAR) priors to capture th...

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Main Authors: Duncan Lee, Alastair Rushworth, Gary Napier
Format: Article
Language:English
Published: Foundation for Open Access Statistics 2018-04-01
Series:Journal of Statistical Software
Subjects:
Online Access:https://www.jstatsoft.org/index.php/jss/article/view/2728
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author Duncan Lee
Alastair Rushworth
Gary Napier
author_facet Duncan Lee
Alastair Rushworth
Gary Napier
author_sort Duncan Lee
collection DOAJ
description Spatial data relating to non-overlapping areal units are prevalent in fields such as economics, environmental science, epidemiology and social science, and a large suite of modeling tools have been developed for analysing these data. Many utilize conditional autoregressive (CAR) priors to capture the spatial autocorrelation inherent in these data, and software packages such as CARBayes and R-INLA have been developed to make these models easily accessible to others. Such spatial data are typically available for multiple time periods, and the development of methodology for capturing temporally changing spatial dynamics is the focus of much current research. A sizeable proportion of this literature has focused on extending CAR priors to the spatio-temporal domain, and this article presents the R package CARBayesST, which is the first dedicated software package for spatio-temporal areal unit modeling with conditional autoregressive priors. The software package allows to fit a range of models focused on different aspects of spacetime modeling, including estimation of overall space and time trends, and the identification of clusters of areal units that exhibit elevated values. This paper outlines the class of models that the software package implement, before applying them to simulated and two real examples from the fields of epidemiology and housing market analysis.
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spelling doaj.art-04c314947d93489bad0e1422b2c595992022-12-21T17:33:21ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602018-04-0184113910.18637/jss.v084.i091208Spatio-Temporal Areal Unit Modeling in R with Conditional Autoregressive Priors Using the CARBayesST PackageDuncan LeeAlastair RushworthGary NapierSpatial data relating to non-overlapping areal units are prevalent in fields such as economics, environmental science, epidemiology and social science, and a large suite of modeling tools have been developed for analysing these data. Many utilize conditional autoregressive (CAR) priors to capture the spatial autocorrelation inherent in these data, and software packages such as CARBayes and R-INLA have been developed to make these models easily accessible to others. Such spatial data are typically available for multiple time periods, and the development of methodology for capturing temporally changing spatial dynamics is the focus of much current research. A sizeable proportion of this literature has focused on extending CAR priors to the spatio-temporal domain, and this article presents the R package CARBayesST, which is the first dedicated software package for spatio-temporal areal unit modeling with conditional autoregressive priors. The software package allows to fit a range of models focused on different aspects of spacetime modeling, including estimation of overall space and time trends, and the identification of clusters of areal units that exhibit elevated values. This paper outlines the class of models that the software package implement, before applying them to simulated and two real examples from the fields of epidemiology and housing market analysis.https://www.jstatsoft.org/index.php/jss/article/view/2728Bayesian inferenceconditional autoregressive priorsR packagespatio-temporal areal unit modeling
spellingShingle Duncan Lee
Alastair Rushworth
Gary Napier
Spatio-Temporal Areal Unit Modeling in R with Conditional Autoregressive Priors Using the CARBayesST Package
Journal of Statistical Software
Bayesian inference
conditional autoregressive priors
R package
spatio-temporal areal unit modeling
title Spatio-Temporal Areal Unit Modeling in R with Conditional Autoregressive Priors Using the CARBayesST Package
title_full Spatio-Temporal Areal Unit Modeling in R with Conditional Autoregressive Priors Using the CARBayesST Package
title_fullStr Spatio-Temporal Areal Unit Modeling in R with Conditional Autoregressive Priors Using the CARBayesST Package
title_full_unstemmed Spatio-Temporal Areal Unit Modeling in R with Conditional Autoregressive Priors Using the CARBayesST Package
title_short Spatio-Temporal Areal Unit Modeling in R with Conditional Autoregressive Priors Using the CARBayesST Package
title_sort spatio temporal areal unit modeling in r with conditional autoregressive priors using the carbayesst package
topic Bayesian inference
conditional autoregressive priors
R package
spatio-temporal areal unit modeling
url https://www.jstatsoft.org/index.php/jss/article/view/2728
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AT alastairrushworth spatiotemporalarealunitmodelinginrwithconditionalautoregressivepriorsusingthecarbayesstpackage
AT garynapier spatiotemporalarealunitmodelinginrwithconditionalautoregressivepriorsusingthecarbayesstpackage