Spatio-temporal modeling of urban extreme rainfall events at high resolution

Fuente: arXiv
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Auteurs principaux: Serre-Combe, Chloé, Meyer, Nicolas, Opitz, Thomas, Toulemonde, Gwladys
Format: Preprint
Publié: 2026
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author Serre-Combe, Chloé
Meyer, Nicolas
Opitz, Thomas
Toulemonde, Gwladys
author_facet Serre-Combe, Chloé
Meyer, Nicolas
Opitz, Thomas
Toulemonde, Gwladys
contents Modeling precipitation and its accumulation over time and space is essential for flood risk assessment. In this paper, we analyze rainfall data collected over several years through a micro-scale precipitation sensor network in Montpellier, France. A novel spatio-temporal stochastic model is proposed for high-resolution urban extreme rainfall and combines realistic marginal behaviour and flexible dependence structure. Marginally, rainfall intensities are described by the Extended Generalized Pareto Distribution (EGPD), capturing both moderate and extreme events without threshold selection. Based on peaks-over-threshold theory for spatial processes, dependence during extreme episodes is modeled by an r-Pareto process with a non-separable variogram allowing for episode-specific advection, such that the displacement of rainfall cells is represented explicitly. Based on a catalog of extreme space-time episodes extracted from observations, parameters are estimated by a new composite likelihood based on joint exceedance indicators. Empirical advection velocities are derived beforehand from a radar reanalysis dataset. We show that the model accurately reproduces the spatio-temporal structure of extreme rainfall observed in the Montpellier OMSEV network and enables realistic stochastic scenario generation for flood risk assessment.
format Preprint
id arxiv_https___arxiv_org_abs_2602_19774
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Spatio-temporal modeling of urban extreme rainfall events at high resolution
Serre-Combe, Chloé
Meyer, Nicolas
Opitz, Thomas
Toulemonde, Gwladys
Applications
Modeling precipitation and its accumulation over time and space is essential for flood risk assessment. In this paper, we analyze rainfall data collected over several years through a micro-scale precipitation sensor network in Montpellier, France. A novel spatio-temporal stochastic model is proposed for high-resolution urban extreme rainfall and combines realistic marginal behaviour and flexible dependence structure. Marginally, rainfall intensities are described by the Extended Generalized Pareto Distribution (EGPD), capturing both moderate and extreme events without threshold selection. Based on peaks-over-threshold theory for spatial processes, dependence during extreme episodes is modeled by an r-Pareto process with a non-separable variogram allowing for episode-specific advection, such that the displacement of rainfall cells is represented explicitly. Based on a catalog of extreme space-time episodes extracted from observations, parameters are estimated by a new composite likelihood based on joint exceedance indicators. Empirical advection velocities are derived beforehand from a radar reanalysis dataset. We show that the model accurately reproduces the spatio-temporal structure of extreme rainfall observed in the Montpellier OMSEV network and enables realistic stochastic scenario generation for flood risk assessment.
title Spatio-temporal modeling of urban extreme rainfall events at high resolution
topic Applications
url https://arxiv.org/abs/2602.19774