Journal article
Bayesian Spatiotemporal Wombling
Journal of the American Statistical Association, pp 1-28
14 Jul 2026
Abstract
Stochastic process models for spatiotemporal data underlying random fields find substantial utility in a range of scientific disciplines. Subsequent to predictive inference on the values of the random field (or spatial surface indexed continuously over time) at arbitrary space-time coordinates, scientific interest often turns to gleaning information regarding zones of rapid spatial-temporal change. We develop Bayesian modeling and inference for directional rates of change along a given surface. These surfaces, which demarcate regions of rapid change, are referred to as “wombling” surface boundaries. Existing methods for studying such changes have often been associated with curves and are not easily extendable to surfaces resulting from curves evolving over time. Our current contribution devises a fully model-based inferential framework for analyzing differential behavior in spatiotemporal responses by formalizing the notion of a “wombling” surface boundary using conventional multi-linear vector analytic frameworks and geometry followed by posterior predictive computations using triangulated surface approximations. We illustrate our methodology with comprehensive simulation experiments followed by multiple applications in neuroimaging; environmental and climate science and pollutant analysis in environmental health.
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Details
- Title
- Bayesian Spatiotemporal Wombling
- Creators
- Aritra Halder - Drexel UniversityDidong Li - University of North Carolina at Chapel HillSudipto Banerjee (Corresponding Author) - University of California, Los Angeles
- Publication Details
- Journal of the American Statistical Association, pp 1-28
- Publisher
- Taylor & Francis
- Number of pages
- 28
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Urban Health Collaborative; Epidemiology and Biostatistics
- Other Identifier
- 991022197151604721