Heavy-tailed flood peak distributions: what is the effect of the spatial variability of rainfall and runoff generation?

<p>The statistical distributions of observed flood peaks often show heavy-tailed behaviour, meaning that extreme floods are more likely to occur than for distributions with an exponentially receding tail. Falsely assuming light-tailed behaviour can lead to an underestimation of extreme floods....

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Main Authors: E. Macdonald, B. Merz, V. D. Nguyen, S. Vorogushyn
Format: Article
Language:English
Published: Copernicus Publications 2025-01-01
Series:Hydrology and Earth System Sciences
Online Access:https://hess.copernicus.org/articles/29/447/2025/hess-29-447-2025.pdf
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author E. Macdonald
B. Merz
B. Merz
V. D. Nguyen
S. Vorogushyn
author_facet E. Macdonald
B. Merz
B. Merz
V. D. Nguyen
S. Vorogushyn
author_sort E. Macdonald
collection DOAJ
description <p>The statistical distributions of observed flood peaks often show heavy-tailed behaviour, meaning that extreme floods are more likely to occur than for distributions with an exponentially receding tail. Falsely assuming light-tailed behaviour can lead to an underestimation of extreme floods. Robust estimation of the tail is often hindered due to the limited length of time series. Therefore, a better understanding of the processes controlling the tail behaviour is required. Here, we analyse how the spatial variability of rainfall and runoff generation affects the flood peak tail behaviour in catchments of various sizes. This is done using a model chain consisting of a stochastic weather generator, a conceptual rainfall-runoff model, and a river routing routine. For a large synthetic catchment, long time series of daily rainfall with varying tail behaviours and varying degrees of spatial variability are generated and used as input for the rainfall-runoff model. In this model, the spatial variability and mean depth of a sub-surface storage capacity are varied, affecting how locally or widely saturation excess runoff is triggered. Tail behaviour is characterized by the shape parameter of the generalized extreme value (GEV) distribution. Our analysis shows that smaller catchments tend to have heavier tails than larger catchments. For large catchments especially, the GEV shape parameter of flood peak distributions was found to decrease with increasing spatial rainfall variability. This is most likely linked to attenuating effects in large catchments. No clear effect of the spatial variability of the runoff generation on the tail behaviour was found.</p>
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issn 1027-5606
1607-7938
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publishDate 2025-01-01
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series Hydrology and Earth System Sciences
spelling doaj-art-0bed40f8f1f14596bdf499b06afaef7a2025-01-23T05:22:10ZengCopernicus PublicationsHydrology and Earth System Sciences1027-56061607-79382025-01-012944746310.5194/hess-29-447-2025Heavy-tailed flood peak distributions: what is the effect of the spatial variability of rainfall and runoff generation?E. Macdonald0B. Merz1B. Merz2V. D. Nguyen3S. Vorogushyn4GFZ Helmholtz Centre for Geosciences, Section Hydrology, Potsdam, GermanyGFZ Helmholtz Centre for Geosciences, Section Hydrology, Potsdam, GermanyInstitute for Environmental Sciences and Geography, University of Potsdam, Potsdam, GermanyGFZ Helmholtz Centre for Geosciences, Section Hydrology, Potsdam, GermanyGFZ Helmholtz Centre for Geosciences, Section Hydrology, Potsdam, Germany<p>The statistical distributions of observed flood peaks often show heavy-tailed behaviour, meaning that extreme floods are more likely to occur than for distributions with an exponentially receding tail. Falsely assuming light-tailed behaviour can lead to an underestimation of extreme floods. Robust estimation of the tail is often hindered due to the limited length of time series. Therefore, a better understanding of the processes controlling the tail behaviour is required. Here, we analyse how the spatial variability of rainfall and runoff generation affects the flood peak tail behaviour in catchments of various sizes. This is done using a model chain consisting of a stochastic weather generator, a conceptual rainfall-runoff model, and a river routing routine. For a large synthetic catchment, long time series of daily rainfall with varying tail behaviours and varying degrees of spatial variability are generated and used as input for the rainfall-runoff model. In this model, the spatial variability and mean depth of a sub-surface storage capacity are varied, affecting how locally or widely saturation excess runoff is triggered. Tail behaviour is characterized by the shape parameter of the generalized extreme value (GEV) distribution. Our analysis shows that smaller catchments tend to have heavier tails than larger catchments. For large catchments especially, the GEV shape parameter of flood peak distributions was found to decrease with increasing spatial rainfall variability. This is most likely linked to attenuating effects in large catchments. No clear effect of the spatial variability of the runoff generation on the tail behaviour was found.</p>https://hess.copernicus.org/articles/29/447/2025/hess-29-447-2025.pdf
spellingShingle E. Macdonald
B. Merz
B. Merz
V. D. Nguyen
S. Vorogushyn
Heavy-tailed flood peak distributions: what is the effect of the spatial variability of rainfall and runoff generation?
Hydrology and Earth System Sciences
title Heavy-tailed flood peak distributions: what is the effect of the spatial variability of rainfall and runoff generation?
title_full Heavy-tailed flood peak distributions: what is the effect of the spatial variability of rainfall and runoff generation?
title_fullStr Heavy-tailed flood peak distributions: what is the effect of the spatial variability of rainfall and runoff generation?
title_full_unstemmed Heavy-tailed flood peak distributions: what is the effect of the spatial variability of rainfall and runoff generation?
title_short Heavy-tailed flood peak distributions: what is the effect of the spatial variability of rainfall and runoff generation?
title_sort heavy tailed flood peak distributions what is the effect of the spatial variability of rainfall and runoff generation
url https://hess.copernicus.org/articles/29/447/2025/hess-29-447-2025.pdf
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