Predicting hazards of climate extremes: a statistical perspective

Fuente: arXiv
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Autori principali: Pacifici, Carlotta, Padoan, Simone A., Mysiak, Jaroslav
Natura: Preprint
Pubblicazione: 2025
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author Pacifici, Carlotta
Padoan, Simone A.
Mysiak, Jaroslav
author_facet Pacifici, Carlotta
Padoan, Simone A.
Mysiak, Jaroslav
contents Climate extremes such as floods, storms, and heatwaves have caused severe economic and human losses across Europe in recent decades. To support the European Union's climate resilience efforts, we propose a statistical framework for short-to-medium-term prediction of tail risks related to extreme economic losses and fatalities. Our approach builds on Extreme Value Theory and employs the predictive distribution of future tail events to quantify both estimation and aleatoric uncertainty. Using data on EU-wide losses and fatalities from 1980 to 2023, we model extreme events through Peaks Over Threshold methodology and fit Generalised Pareto (GP) and discrete-GP models using an empirical Bayes procedure. Our predictive approach enables a 'What-if' analysis to evaluate hypothetical scenarios beyond observed levels, including potential worst-case outcomes for a precautionary risk assessment of future extreme episodes. To account for a time-varying behavior of extreme losses and fatalities we extend our predictive method using a proportional tail model that allows to handle heteroscedastic extremes over time. Results of our analysis under stationarity and non-stationary settings raise concerns, reinforcing the urgency of integrating predictive tail risk assessment into EU adaptation strategies.
format Preprint
id arxiv_https___arxiv_org_abs_2505_17622
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Predicting hazards of climate extremes: a statistical perspective
Pacifici, Carlotta
Padoan, Simone A.
Mysiak, Jaroslav
Applications
62G32, 62G05, 62G08
Climate extremes such as floods, storms, and heatwaves have caused severe economic and human losses across Europe in recent decades. To support the European Union's climate resilience efforts, we propose a statistical framework for short-to-medium-term prediction of tail risks related to extreme economic losses and fatalities. Our approach builds on Extreme Value Theory and employs the predictive distribution of future tail events to quantify both estimation and aleatoric uncertainty. Using data on EU-wide losses and fatalities from 1980 to 2023, we model extreme events through Peaks Over Threshold methodology and fit Generalised Pareto (GP) and discrete-GP models using an empirical Bayes procedure. Our predictive approach enables a 'What-if' analysis to evaluate hypothetical scenarios beyond observed levels, including potential worst-case outcomes for a precautionary risk assessment of future extreme episodes. To account for a time-varying behavior of extreme losses and fatalities we extend our predictive method using a proportional tail model that allows to handle heteroscedastic extremes over time. Results of our analysis under stationarity and non-stationary settings raise concerns, reinforcing the urgency of integrating predictive tail risk assessment into EU adaptation strategies.
title Predicting hazards of climate extremes: a statistical perspective
topic Applications
62G32, 62G05, 62G08
url https://arxiv.org/abs/2505.17622