An update on multivariate return periods in hydrology

Many hydrological studies are devoted to the identification of events that are expected to occur on average within a certain time span. While this topic is well established in the univariate case, recent advances focus on a multivariate characterization of events based on copulas. Following a pr...

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Main Authors: B. Gräler, A. Petroselli, S. Grimaldi, B. De Baets, N. Verhoest
Format: Article
Language:English
Published: Copernicus Publications 2016-05-01
Series:Proceedings of the International Association of Hydrological Sciences
Online Access:https://www.proc-iahs.net/373/175/2016/piahs-373-175-2016.pdf
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author B. Gräler
A. Petroselli
S. Grimaldi
B. De Baets
N. Verhoest
author_facet B. Gräler
A. Petroselli
S. Grimaldi
B. De Baets
N. Verhoest
author_sort B. Gräler
collection DOAJ
description Many hydrological studies are devoted to the identification of events that are expected to occur on average within a certain time span. While this topic is well established in the univariate case, recent advances focus on a multivariate characterization of events based on copulas. Following a previous study, we show how the definition of the survival Kendall return period fits into the set of multivariate return periods.<br><br>Moreover, we preliminary investigate the ability of the multivariate return period definitions to select maximal events from a time series. Starting from a rich simulated data set, we show how similar the selection of events from a data set is. It can be deduced from the study and theoretically underpinned that the strength of correlation in the sample influences the differences between the selection of maximal events.
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spelling doaj.art-c4219fbaa6354cb28041a9e6a6d579362022-12-22T01:41:09ZengCopernicus PublicationsProceedings of the International Association of Hydrological Sciences2199-89812199-899X2016-05-0137317517810.5194/piahs-373-175-2016An update on multivariate return periods in hydrologyB. Gräler0A. Petroselli1S. Grimaldi2B. De Baets3N. Verhoest4Institute of Hydrology, Ruhr University Bochum, Bochum, GermanyDipartimento di scienze agrarie e forestali (DAFNE Department), University of Tuscia, Tuscia, ItalyDipartimento per la innovazione nei sistemi biologici agroalimentari e forestali (DIBAF Department), University of Tuscia, Tuscia, ItalyDepartment of Mathematical Modelling, Statistics and Bioinformatics, Ghent University, Ghent, BelgiumLaboratory of Hydrology and Water Management, Ghent University, Ghent, BelgiumMany hydrological studies are devoted to the identification of events that are expected to occur on average within a certain time span. While this topic is well established in the univariate case, recent advances focus on a multivariate characterization of events based on copulas. Following a previous study, we show how the definition of the survival Kendall return period fits into the set of multivariate return periods.<br><br>Moreover, we preliminary investigate the ability of the multivariate return period definitions to select maximal events from a time series. Starting from a rich simulated data set, we show how similar the selection of events from a data set is. It can be deduced from the study and theoretically underpinned that the strength of correlation in the sample influences the differences between the selection of maximal events.https://www.proc-iahs.net/373/175/2016/piahs-373-175-2016.pdf
spellingShingle B. Gräler
A. Petroselli
S. Grimaldi
B. De Baets
N. Verhoest
An update on multivariate return periods in hydrology
Proceedings of the International Association of Hydrological Sciences
title An update on multivariate return periods in hydrology
title_full An update on multivariate return periods in hydrology
title_fullStr An update on multivariate return periods in hydrology
title_full_unstemmed An update on multivariate return periods in hydrology
title_short An update on multivariate return periods in hydrology
title_sort update on multivariate return periods in hydrology
url https://www.proc-iahs.net/373/175/2016/piahs-373-175-2016.pdf
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