Joint modeling of flood peak discharges, volume and duration: a case study of the Danube River in Bratislava

The study is focused on the analysis and statistical evaluation of the joint probability of the occurrence of hydrological variables such as peak discharge (Q), volume (V) and duration (t). In our case study, we focus on the bivariate statistical analysis of these hydrological variables of the Danub...

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Main Authors: Bačová Mitková Veronika, Halmová Dana
Format: Article
Language:English
Published: Sciendo 2014-09-01
Series:Journal of Hydrology and Hydromechanics
Subjects:
Online Access:https://doi.org/10.2478/johh-2014-0026
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author Bačová Mitková Veronika
Halmová Dana
author_facet Bačová Mitková Veronika
Halmová Dana
author_sort Bačová Mitková Veronika
collection DOAJ
description The study is focused on the analysis and statistical evaluation of the joint probability of the occurrence of hydrological variables such as peak discharge (Q), volume (V) and duration (t). In our case study, we focus on the bivariate statistical analysis of these hydrological variables of the Danube River in Bratislava gauging station, during the period of 1876-2013. The study presents the methodology of the bivariate statistical analysis, choice of appropriate marginal distributions and appropriate copula functions in representing the joint distribution. Finally, the joint return periods and conditional return periods for some hydrological pairs (Q-V, V-t, Q-t) were calculated. The approach using copulas can reproduce a wide range of correlation (nonlinear) frequently observed in hydrology. Results of this study provide comprehensive information about flood where a devastating effect may be increased in the case where its three basic components (or at least two of them) Q, V and t have the same significance.
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spelling doaj.art-4622de66154e4687ad44b7bd71e491802022-12-21T19:07:14ZengSciendoJournal of Hydrology and Hydromechanics0042-790X2014-09-0162318619610.2478/johh-2014-0026johh-2014-0026Joint modeling of flood peak discharges, volume and duration: a case study of the Danube River in BratislavaBačová Mitková Veronika0Halmová Dana1Institute of Hydrology SAS, Račianska 75, 831 02 Bratislava, SlovakiaInstitute of Hydrology SAS, Račianska 75, 831 02 Bratislava, SlovakiaThe study is focused on the analysis and statistical evaluation of the joint probability of the occurrence of hydrological variables such as peak discharge (Q), volume (V) and duration (t). In our case study, we focus on the bivariate statistical analysis of these hydrological variables of the Danube River in Bratislava gauging station, during the period of 1876-2013. The study presents the methodology of the bivariate statistical analysis, choice of appropriate marginal distributions and appropriate copula functions in representing the joint distribution. Finally, the joint return periods and conditional return periods for some hydrological pairs (Q-V, V-t, Q-t) were calculated. The approach using copulas can reproduce a wide range of correlation (nonlinear) frequently observed in hydrology. Results of this study provide comprehensive information about flood where a devastating effect may be increased in the case where its three basic components (or at least two of them) Q, V and t have the same significance.https://doi.org/10.2478/johh-2014-0026the danube riverjoint distributioncopula functionspeak flowvolume and duration of the wavemultivariate frequency analysis
spellingShingle Bačová Mitková Veronika
Halmová Dana
Joint modeling of flood peak discharges, volume and duration: a case study of the Danube River in Bratislava
Journal of Hydrology and Hydromechanics
the danube river
joint distribution
copula functions
peak flow
volume and duration of the wave
multivariate frequency analysis
title Joint modeling of flood peak discharges, volume and duration: a case study of the Danube River in Bratislava
title_full Joint modeling of flood peak discharges, volume and duration: a case study of the Danube River in Bratislava
title_fullStr Joint modeling of flood peak discharges, volume and duration: a case study of the Danube River in Bratislava
title_full_unstemmed Joint modeling of flood peak discharges, volume and duration: a case study of the Danube River in Bratislava
title_short Joint modeling of flood peak discharges, volume and duration: a case study of the Danube River in Bratislava
title_sort joint modeling of flood peak discharges volume and duration a case study of the danube river in bratislava
topic the danube river
joint distribution
copula functions
peak flow
volume and duration of the wave
multivariate frequency analysis
url https://doi.org/10.2478/johh-2014-0026
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