Joint-likelihood Bayesian model for urban heat island mapping with two crowdsourced datasets

Eva Marquès et al.

Journal of the Royal Statistical Society. Series C: Applied Statistics2026https://doi.org/10.1093/jrsssc/qlag008article
AJG 3
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Abstract

Heat stress is a growing public health concern in cities as urban dwellers are exposed to combined effect of global warming and urban heat islands. We develop a cutting-edge Bayesian Hierarchical Model that incorporates data from connected vehicles and citizen weather stations to draw hourly urban air temperature maps at hectometric resolution. To overpass the uncertainty of opportunistic observations, we set priors on the measurement error into two separate likelihoods, one per each data source. The model with joint-likelihoods is compared to two single models, one for the on-board thermometers and the other for citizen weather stations. All models, inferred with the INLA-SPDE approach, are evaluated against an independent professional network in the French city of Dijon. The maps are consistent with the reference network. The performance of the joint-likelihood model with both data sources exceeds the other two. Its Root Mean Square Error is less than 1∘C for more than 75% of the 714 hourly maps. These results open up new perspectives in urban climatology and for the post-processing of numerical weather forecasts on cities. They will also support research on urban heat exposure and all actors involved in sustainable urban planning.

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https://doi.org/https://doi.org/10.1093/jrsssc/qlag008

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@article{eva2026,
  title        = {{Joint-likelihood Bayesian model for urban heat island mapping with two crowdsourced datasets}},
  author       = {Eva Marquès et al.},
  journal      = {Journal of the Royal Statistical Society. Series C: Applied Statistics},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1093/jrsssc/qlag008},
}

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