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Big problems in spatio-temporal disease mapping: Methods and software.

Erick Orozco-Acosta1, Aritz Adin1, María Dolores Ugarte1

  • 1Department of Statistics, Computer Science and Mathematics, Public University of Navarre, Campus de Arrosadia, 31006 Pamplona, Spain; Institute for Advanced Materials and Mathematics (InaMat2), Public University of Navarre, Campus de Arrosadia, 31006 Pamplona, Spain.

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Summary
This summary is machine-generated.

This study introduces a scalable method for analyzing large, high-dimensional spatio-temporal areal data, improving relative risk estimation in fields like cancer epidemiology. The approach enables efficient Bayesian model fitting for complex datasets.

Keywords:
Cancer epidemiologyLaplace approximationsMassive dataNon-stationary modelsScalable modelling

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Area of Science:

  • Epidemiology
  • Statistical Modeling
  • Geospatial Analysis

Background:

  • Spatio-temporal models for areal data are vital in epidemiology.
  • Large datasets present computational challenges for traditional modeling approaches.
  • Accurate relative risk estimation is critical for public health interventions.

Purpose of the Study:

  • To propose a general procedure for analyzing high-dimensional spatio-temporal areal data.
  • To address computational limitations in fitting complex hierarchical models.
  • To enhance mortality/incidence relative risk estimation.

Main Methods:

  • Developed a pragmatic procedure for fitting hierarchical spatio-temporal models to large areal datasets.
  • Utilized integrated nested Laplace approximations over spatial partitions.
  • Employed parallel and distributed computing strategies to accelerate Bayesian model fitting.

Main Results:

  • Demonstrated superior performance of the proposed method over classical global models using simulated and real data.
  • Implemented the methodology in the open-source R package bigDM.
  • Included user-friendly vignettes to facilitate adoption by non-expert users.

Conclusions:

  • The proposed scalable methodology enables reliable risk estimates.
  • Facilitates the fitting of Bayesian hierarchical spatio-temporal models for high-dimensional data.
  • Offers a computationally efficient solution for complex epidemiological analyses.