Apparent heavy tails of sub-daily precipitation explained by the coexistence of lighter-tailed processes

Extreme value theory is routinely applied to estimate rainfall frequency for several accumulation periods. Typically, it is found that sub-daily precipitation has power-type tails, meaning that the probability of observing increasingly large magnitudes decreases as a power law. Physical arguments, however, suggest it should have lighter, stretched exponential, tails. Here, we reconcile these perspectives showing that part of the contradiction is caused by precipitation process heterogeneity. We examine hundreds of sub-daily precipitation records in the Greater Alpine Area, for which a classification of storms into homogeneous types is available. We find that an apparent heavy-tail behavior is reported at scales of 1–6 hr, and is explained by the coexistence of stratiform and convective processes, both characterized by stretched exponential tails. Our results challenge the assumptions which justify the use of extreme value theory for sub-daily precipitation, with important implications for how design values are determined.

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Publication Details

Journal
TUHH Open Research
Published
2026-01-28
DOI
https://doi.org/10.15480/882.16652
Primary Topic
Hydrology and Drought Analysis
Type
article
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article

Apparent heavy tails of sub-daily precipitation explained by the coexistence of lighter-tailed processes

Antonio Canale, Francesco Marra, Georgia Papacharalampous, Eleonora Dallan et al.
TUHH Open Research
Hydrology and Drought Analysis
article

Apparent heavy tails of sub-daily precipitation explained by the coexistence of lighter-tailed processes

Antonio Canale, Francesco Marra, Georgia Papacharalampous, Eleonora Dallan, Simon Michael Papalexiou, Ilaria Prosdocimi, Marco Borga
article en

Abstract

Extreme value theory is routinely applied to estimate rainfall frequency for several accumulation periods. Typically, it is found that sub-daily precipitation has power-type tails, meaning that the probability of observing increasingly large magnitudes decreases as a power law. Physical arguments, however, suggest it should have lighter, stretched exponential, tails. Here, we reconcile these perspectives showing that part of the contradiction is caused by precipitation process heterogeneity. We examine hundreds of sub-daily precipitation records in the Greater Alpine Area, for which a classification of storms into homogeneous types is available. We find that an apparent heavy-tail behavior is reported at scales of 1–6 hr, and is explained by the coexistence of stratiform and convective processes, both characterized by stretched exponential tails. Our results challenge the assumptions which justify the use of extreme value theory for sub-daily precipitation, with important implications for how design values are determined.

TUHH Open Research
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Hydrology and Drought Analysis
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