Spatial Statistics · Bayesian Inference · INLA

Flexible GMRF Models

A collection of extended Gaussian Markov Random Field models for Bayesian spatial and spatio-temporal inference, implemented within the INLA framework.

Models

Each model extends a classical GMRF to capture richer spatial structure, implemented via the INLA cgeneric interface for efficient Bayesian inference.

fbesag Published

Non-stationary extension of the Besag (ICAR) model. Allows the precision parameter to vary across spatial sub-regions, capturing local heterogeneity in areal data. Includes a joint PC prior for contraction to the stationary model.

Non-stationary Disease mapping PC prior
fbym2 In Development

Flexible extension of the BYM2 model, combining structured (ICAR) and unstructured (iid) spatial effects with sub-region-varying precision parameters. Inherits the interpretability and scaling properties of BYM2 while relaxing the stationarity assumption.

BYM2 Non-stationary Structured + iid
fBlock Proposal

Block random-effect selection model with a horseshoe prior on per-block precision. Supports any GMRF precision structure per block (AR1, RW, ICAR, kernel). The block-diagonal precision enables simultaneous selection and inference over multiple candidate random effects.

Block-diagonal Horseshoe prior Variable selection

Publications

Statistical Methods in Medical Research · 2024

Non-stationary Bayesian spatial model for disease mapping based on sub-regions

Esmail Abdul-Fattah, Elias Krainski, Janet Van Niekerk, Haavard Rue

fbesag INLA Disease mapping

Collaborate

These models open new directions in non-stationary spatial modeling and flexible Bayesian inference. If you are interested in collaborating on methodology, applications, or software development, I would love to hear from you.

Applications
Epidemiology, environmental science, ecology, and social science problems where spatial stationarity is in question.
Methodology
Extensions to spatio-temporal models, non-stationary priors, and scalable inference for large areal datasets.
Software
R package development, integration with R-INLA, and implementation of novel GMRF structures.

Contact

Esmail Abdul Fattah

Statistics Program, CEMSE Division
King Abdullah University of Science and Technology (KAUST)

esmail.abdulfattah@kaust.edu.sa