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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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. |
first_indexed | 2024-03-05T20:28:05Z |
format | Article |
id | utm.eprints-82145 |
institution | Universiti Teknologi Malaysia - ePrints |
last_indexed | 2024-03-05T20:28:05Z |
publishDate | 2018 |
publisher | Malaysian Journal of Civil Engineering |
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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 |