1st Edition

Modeling Spatio-Temporal Data Markov Random Fields, Objective Bayes, and Multiscale Models

Edited By Marco A. R. Ferreira Copyright 2025
    288 Pages 60 B/W Illustrations
    by Chapman & Hall

    Several important topics in spatial and spatio-temporal statistics developed in the last 15 years have not received enough attention in textbooks. This book aims to fill some of this gap by providing an overview of a variety of recently proposed approaches for the analysis of spatial and spatio-temporal datasets, including proper Gaussian Markov random fields, dynamic multiscale spatio-temporal models, and objective priors for spatial and spatio-temporal models. The goal is to make these approaches more accessible to practitioners, and to stimulate additional research in these important areas of spatial and spatio-temporal statistics.

    Key topics discussed in this book include:

    - Proper Gaussian Markov random fields and their use as building blocks for spatio-temporal models and multiscale models.

    - Hierarchical models with intrinsic conditional autoregressive priors for spatial random effects, including reference prior, results on fast computations, and objective Bayes model selection.

    - Objective priors for state-space models and a new approximate reference prior for a spatio-temporal model with dynamic spatio-temporal random effects.

    - Spatio-temporal models based on proper Gaussian Markov random fields for Poisson observations.

    - Dynamic multiscale spatio-temporal thresholding for spatial clustering and data compression.

    - Multiscale spatio-temporal assimilation of computer model output and monitoring stations data.

    - Dynamic multiscale heteroscedastic multivariate spatio-temporal models.

    - The M-open multiple optima paradox and some of its practical implications for multiscale modeling.

    - Ensembles of dynamic multiscale spatio-temporal models for smooth spatio-temporal processes.

    The audience for this book is practitioners, researchers, and graduate students in statistics, data science, machine learning, and related fields. Prerequisites for this book are master's level courses on statistical inference, linear models, and Bayesian statistics.  This book can be used as a textbook for a special topics course on spatial and spatio-temporal statistics, as well as supplementary material for graduate courses on spatial and spatio-temporal modeling.

    1. Proper Gaussian Markov Random Fields
    Marco A. R. Ferreira

    2. Gaussian Spatial Hierarchical Models with ICAR Priors
    Erica M. Porter, Christopher T. Franck, and Marco A. R. Ferreira

    3. Objective Priors for Spatio-Temporal Models
    Marco A. R. Ferreira

    4. Spatio-Temporal Models for Poisson Areal Data
    Marco A. R. Ferreira and Juan C. Vivar

    5. Dynamic Multiscale Spatio-Temporal Thresholding
    Marco A. R. Ferreira

    6. Multiscale Spatio-Temporal Data Assimilation
    Ana G. Rappold and Marco A. R. Ferreira

    7. Multiscale Heteroscedastic Multivariate Spatio-Temporal Models
    Mohamed Elkhouly and Marco A. R. Ferreira

    8. A Model Selection Paradox with Implications to Multiscale Modeling
    Marco A. R. Ferreira, M. Alejandra Jaramillo, and Elizabeth B. Hypólito

    9. Ensembles of Dynamic Multiscale Spatio-Temporal Models
    Thais C. O. Fonseca and Marco A. R. Ferreira


    Marco A. R. Ferreira is a Professor in the Department of Statistics at Virginia Tech. Marco has served the statistics profession in editorial boards of multiple scientific journals including the journal Bayesian Analysis, in several committees of the International Society for Bayesian Analysis and the American Statistical Association, as well as in scientific committees of numerous domestic and international conferences. Marco's current research areas include dynamic models for time series and spatiotemporal data, multiscale models, objective Bayesian methods, stochastic search algorithms, and statistical computation. Major areas of application include bioinformatics, economics, epidemiology, and environmental science. Marco's research has been funded by grants from industry, the National Science Foundation, and the National Institute of Health. Marco has published important scientific papers in top journals such as the Journal of the American Statistical Association, the Journal of the Royal Statistical Society, Biometrika, and Bayesian Analysis. At the time of this writing, Marco has advised over 15 Ph.D. students and postdocs who work in academic, industrial, and governmental positions.