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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,…

Applications · Statistics 2026-04-23 Chloé Serre-Combe , Nicolas Meyer , Thomas Opitz , Gwladys Toulemonde

Extreme precipitation events with large spatial extents may have more severe impacts than localized events as they can lead to widespread flooding. It is debated how climate change may affect the spatial extent of precipitation extremes,…

Methodology · Statistics 2022-12-07 Peng Zhong , Manuela Brunner , Thomas Opitz , Raphaël Huser

Flexible spatial models that allow transitions between tail dependence classes have recently appeared in the literature. However, inference for these models is computationally prohibitive, even in moderate dimensions, due to the necessity…

Statistics Theory · Mathematics 2020-12-03 Likun Zhang , Benjamin A. Shaby , Jennifer L. Wadsworth

One measurement modality for rainfall is a fixed location rain gauge. However, extreme rainfall, flooding, and other climate extremes often occur at larger spatial scales and affect more than one location in a community. For example, in…

Methodology · Statistics 2024-05-02 Carlynn Fagnant , Julia C. Schedler , Katherine B. Ensor

In this study, we examine a Bayesian approach to analyze extreme daily rainfall amounts and forecast return-levels. Estimating the probability of occurrence and quantiles of future extreme events is important in many applications, including…

Applications · Statistics 2022-08-29 Douglas E. Johnston

Obtaining high-resolution maps of precipitation data can provide key insights to stakeholders to assess a sustainable access to water resources at urban scale. Mapping a nonstationary, sparse process such as precipitation at very high…

Applications · Statistics 2023-02-08 Jiachen Zhang , Matthew Bonas , Diogo Bolster , Geir-Arne Fuglstad , Stefano Castruccio

Understanding the spatial distribution of animals, during all their life phases, as well as how the distributions are influenced by environmental covariates, is a fundamental requirement for the effective management of animal populations.…

Applications · Statistics 2020-10-26 Soraia Pereira , Raquel Menezes , Maria Manuel Angélico , Tiago Marques

In this study, we present a Bayesian hierarchical framework to model fluid-induced seismicity. The framework is based on a non-homogeneous Poisson process (NHPP) with a fluid-induced seismicity rate proportional to the rate of injected…

Applications · Statistics 2017-11-28 Marco Broccardo , Arnaud Mignan , Stefan Wiemer , Bozidar Stojadinovic , Domenico Giardini

Despite the importance of quantifying how the spatial patterns of extreme precipitation will change with warming, we lack tools to objectively analyze the storm-scale outputs of modern climate models. To address this gap, we develop an…

Atmospheric and Oceanic Physics · Physics 2023-12-04 Griffin Mooers , Tom Beucler , Mike Pritchard , Stephan Mandt

Decision-makers often observe the occurrence of events through a reporting process. City governments, for example, rely on resident reports to find and then resolve urban infrastructural problems such as fallen street trees, flooded…

Computers and Society · Computer Science 2025-03-28 Gabriel Agostini , Emma Pierson , Nikhil Garg

We present a multivariate hierarchical space-time model to describe the joint series of monthly extreme temperatures and amounts of rainfall. Data are available for 360 monitoring stations over 60 years, with missing data affecting almost…

Motivated by the EVA 2025 Data Challenge, we address the problem of predicting extreme rainfall in the eastern United States using data from a large ensemble of climate model runs. The challenge focuses on three quantities of interest…

Methodology · Statistics 2026-03-20 Ryan Campbell , Kristina Grolmusova , Lydia Kakampakou , Jeongjin Lee

We propose a new statistical protocol for the estimation of precipitation using lightning data. We first identify rainy events using a scan statistics, then we estimate Rainfall Lighting Ratio (RLR) to convert lightning number into rain…

Spatio-temporal models are widely used in many research areas including ecology. The recent proliferation of the use of in-situ sensors in streams and rivers supports space-time water quality modelling and monitoring in near real-time. A…

In many practical applications, evaluating the joint impact of combinations of environmental variables is important for risk management and structural design analysis. When such variables are considered simultaneously, non-stationarity can…

Applications · Statistics 2024-04-23 C. J. R. Murphy-Barltrop , J. L. Wadsworth

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

Methodology · Statistics 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

Multivariate spatially-oriented data sets are prevalent in the environmental and physical sciences. Scientists seek to jointly model multiple variables, each indexed by a spatial location, to capture any underlying spatial association for…

Methodology · Statistics 2021-08-19 Lu Zhang , Sudipto Banerjee

Currently available models for spatial extremes suffer either from inflexibility in the dependence structures that they can capture, lack of scalability to high dimensions, or in most cases, both of these. We present an approach to spatial…

Methodology · Statistics 2022-06-17 Jennifer L. Wadsworth , Jonathan Tawn

A new approach for evaluating time-trends in extreme values accounting also for spatial dependence is proposed. Based on exceedances over a space-time threshold, estimators for a trend function and for extreme value parameters are given,…

Methodology · Statistics 2017-07-17 Ana Ferreira , Petra Friederichs , Laurens de Haan , Cláudia Neves , Martin Schlather

Describing the complex dependence structure of extreme phenomena is particularly challenging. To tackle this issue we develop a novel statistical algorithm that describes extremal dependence taking advantage of the inherent hierarchical…

Methodology · Statistics 2018-07-24 Sabrina Vettori , Raphaël Huser , Johan Segers , Marc G. Genton