Bivariate frequency analysis of flood variables using copula in Kelantan river basin

A copula-based methodology is presented in this study for bivariate flood frequency analysis of Kelantan river basin located in Northeast Malaysia. The joint dependence structures of three flood characteristics, namely, peak flow (Q), flood volume (V) and flood duration (D) were modelled using t-Cop...

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Main Authors: Ismail, Tarmizi, Alamgir, Md. Mahiuddin, Noor, Muhammad
Format: Article
Published: Malaysian Journal of Civil Engineering 2018
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author Ismail, Tarmizi
Alamgir, Md. Mahiuddin
Noor, Muhammad
author_facet Ismail, Tarmizi
Alamgir, Md. Mahiuddin
Noor, Muhammad
author_sort Ismail, Tarmizi
collection ePrints
description A copula-based methodology is presented in this study for bivariate flood frequency analysis of Kelantan river basin located in Northeast Malaysia. The joint dependence structures of three flood characteristics, namely, peak flow (Q), flood volume (V) and flood duration (D) were modelled using t-Copula. Various univariate distribution functions of flood variables were fitted with observed flood variables to find the best distributions. Cumulative joint distribution functions (CDF) of peak flow and volume (Q-F), peak flow and duration (Q-D) and volume and duration (V-D) revealed that return period of joint return periods are much higher compared to univariate return period. The joint probabilities of occurrence of 0.8, 0.6, 0.4, 0.2 and 0 can be expected when flood duration greater than 65 h, 54 h, 46 h, and 32 h, and the flood volume higher than 0.62 km3, 0.33 km3, 0.25 km3, and 0.22 km3 respectively.
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spelling utm.eprints-821452019-11-05T07:25:24Z http://eprints.utm.my/82145/ Bivariate frequency analysis of flood variables using copula in Kelantan river basin Ismail, Tarmizi Alamgir, Md. Mahiuddin Noor, Muhammad A copula-based methodology is presented in this study for bivariate flood frequency analysis of Kelantan river basin located in Northeast Malaysia. The joint dependence structures of three flood characteristics, namely, peak flow (Q), flood volume (V) and flood duration (D) were modelled using t-Copula. Various univariate distribution functions of flood variables were fitted with observed flood variables to find the best distributions. Cumulative joint distribution functions (CDF) of peak flow and volume (Q-F), peak flow and duration (Q-D) and volume and duration (V-D) revealed that return period of joint return periods are much higher compared to univariate return period. The joint probabilities of occurrence of 0.8, 0.6, 0.4, 0.2 and 0 can be expected when flood duration greater than 65 h, 54 h, 46 h, and 32 h, and the flood volume higher than 0.62 km3, 0.33 km3, 0.25 km3, and 0.22 km3 respectively. Malaysian Journal of Civil Engineering 2018 Article PeerReviewed Ismail, Tarmizi and Alamgir, Md. Mahiuddin and Noor, Muhammad (2018) Bivariate frequency analysis of flood variables using copula in Kelantan river basin. Malaysian Journal of Civil Engineering, 30 (3). pp. 395-404. ISSN 1823-7843 https://doi.org/10.11113/mjce.v30n3.515 DOI: 10.11113/mjce.v30n3.515
spellingShingle Ismail, Tarmizi
Alamgir, Md. Mahiuddin
Noor, Muhammad
Bivariate frequency analysis of flood variables using copula in Kelantan river basin
title Bivariate frequency analysis of flood variables using copula in Kelantan river basin
title_full Bivariate frequency analysis of flood variables using copula in Kelantan river basin
title_fullStr Bivariate frequency analysis of flood variables using copula in Kelantan river basin
title_full_unstemmed Bivariate frequency analysis of flood variables using copula in Kelantan river basin
title_short Bivariate frequency analysis of flood variables using copula in Kelantan river basin
title_sort bivariate frequency analysis of flood variables using copula in kelantan river basin
work_keys_str_mv AT ismailtarmizi bivariatefrequencyanalysisoffloodvariablesusingcopulainkelantanriverbasin
AT alamgirmdmahiuddin bivariatefrequencyanalysisoffloodvariablesusingcopulainkelantanriverbasin
AT noormuhammad bivariatefrequencyanalysisoffloodvariablesusingcopulainkelantanriverbasin