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Title: A toolbox for fitting complex spatial point process models using integrated nested Laplace approximation (INLA)
Authors: Illian, Janine Baerbel
Sorbye, S H
Rue, H
Keywords: Cox processes
Marked point patterns
Model assessment
Model comparison
QA Mathematics
Issue Date: Dec-2012
Citation: Illian , J B , Sorbye , S H & Rue , H 2012 , ' A toolbox for fitting complex spatial point process models using integrated nested Laplace approximation (INLA) ' Annals of Applied Statistics , vol 6 , no. 4 , pp. 1499-1530 .
Abstract: This paper develops methodology that provides a toolbox for routinely fitting complex models to realistic spatial point pattern data. We consider models that are based on log-Gaussian Cox processes and include local interaction in these by considering constructed covariates. This enables us to use integrated nested Laplace approximation and to considerably speed up the inferential task. In addition, methods for model comparison and model assessment facilitate the modelling process. The performance of the approach is assessed in a simulation study. To demonstrate the versatility of the approach, models are tted to two rather dierent examples, a large rainforest data set with covariates and a point pattern with multiple marks.
Version: Postprint
Description: "The authors also gratefully acknowledge the financial support of Research Councils UK for Illian"
Status: Peer reviewed
URI: http://hdl.handle.net/10023/2120
DOI: http://dx.doi.org/10.1214/11-AOAS530
ISSN: 1932-6157
Type: Journal article
Rights: © Institute of Mathematical Statistics, 2012
Appears in Collections:University of St Andrews Research
Mathematics & Statistics Research
Centre for Research into Ecological & Environmental Modelling (CREEM) Research
Scottish Oceans Institute Research



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