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Advanced spatial modeling with stochastic partial differential equations using R and INLA. (English) Zbl 1418.62011
Boca Raton, FL: CRC Press (ISBN 978-1-138-36985-6/hbk; 978-0-429-03189-2/ebook). xiii, 283 p. (2019).
Publisher’s description: Modeling spatial and spatio-temporal continuous processes is an important and challenging problem in spatial statistics. Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA describes in detail the stochastic partial differential equations (SPDE) approach for modeling continuous spatial processes with a Matérn covariance, which has been implemented using the integrated nested Laplace approximation (INLA) in the R-INLA package. Key concepts about modeling spatial processes and the SPDE approach are explained with examples using simulated data and real applications.
This book has been authored by leading experts in spatial statistics, including the main developers of the INLA and SPDE methodologies and the R-INLA package. It also includes a wide range of applications:
Spatial and spatio-temporal models for continuous outcomes
Analysis of spatial and spatio-temporal point patterns
Coregionalization spatial and spatio-temporal models
Measurement error spatial models
Modeling preferential sampling
Spatial and spatio-temporal models with physical barriers
Survival analysis with spatial effects
Dynamic space-time regression
Spatial and spatio-temporal models for extremes
Hurdle models with spatial effects
Penalized Complexity priors for spatial models
All the examples in the book are fully reproducible. Further information about this book, as well as the R code and datasets used, is available from the book website at http://www.r-inla.org/spde-book.
The tools described in this book will be useful to researchers in many fields such as biostatistics, spatial statistics, environmental sciences, epidemiology, ecology and others. Graduate and Ph.D. students will also find this book and associated files a valuable resource to learn INLA and the SPDE approach for spatial modeling.

MSC:
62-02 Research exposition (monographs, survey articles) pertaining to statistics
60-02 Research exposition (monographs, survey articles) pertaining to probability theory
62H11 Directional data; spatial statistics
62M30 Inference from spatial processes
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
Software:
R-INLA; INLA; R
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