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Trivariate copula for flood frequency analysis in Johor river basin

flood variables are generally random in nature and mutually correlated, consist of peak flow, flood duration and flood volume. flood frequency analysis defines the severity of a flood event by finding out their mutual dependence structure of flood variables. copula is presented for flood frequency a...

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Main Author: Salleh, Norizzati
Format: Thesis
Language:English
Published: 2017
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/81515/1/NorizzatiSallehMFS2017.pdf
http://eprints.utm.my/id/eprint/81515/
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spelling my.utm.815152019-08-23T05:21:14Z http://eprints.utm.my/id/eprint/81515/ Trivariate copula for flood frequency analysis in Johor river basin Salleh, Norizzati QA Mathematics flood variables are generally random in nature and mutually correlated, consist of peak flow, flood duration and flood volume. flood frequency analysis defines the severity of a flood event by finding out their mutual dependence structure of flood variables. copula is presented for flood frequency analysis through this study. copula is a bivariate statistical method for constructing dependency structure and joint probabilistic distribution. copula relaxes the restriction of traditional flood frequency analysis by selecting marginal from different families of probability distribution functions for flood variables. thus, the trivariate copula function is developed in order to assess flood frequency. the analysis used 34 years hourly discharge data from year 1965 until year 2010 from johor river basin from which the annual maximum were derived. on evaluation of various probability distributions for representation of flood variables, it is found that the peak flow can be fitted as generalized pareto (gp) distribution while flood duration and flood volume are well represented as generalized extreme value (gev). the joint distribution is modeled using five trivariate copulas namely clayton, gumbel, frank, gaussian and student-t copulas. based on the performance measure and simulation, it is found that clayton copula is the best copula to represent the trivariate dependency structure of flood properties as compared to copulas. the obtained copula based joint distributions are used to calculate the return period of flood risks. the study concludes that the trivariate copula based methodology is a suitable choice for effective risk assessment of flood frequency analysis as it is able to consider the entire characteristics of flood variables. 2017 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/81515/1/NorizzatiSallehMFS2017.pdf Salleh, Norizzati (2017) Trivariate copula for flood frequency analysis in Johor river basin. Masters thesis, Universiti Teknologi Malaysia. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:124962
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Salleh, Norizzati
Trivariate copula for flood frequency analysis in Johor river basin
description flood variables are generally random in nature and mutually correlated, consist of peak flow, flood duration and flood volume. flood frequency analysis defines the severity of a flood event by finding out their mutual dependence structure of flood variables. copula is presented for flood frequency analysis through this study. copula is a bivariate statistical method for constructing dependency structure and joint probabilistic distribution. copula relaxes the restriction of traditional flood frequency analysis by selecting marginal from different families of probability distribution functions for flood variables. thus, the trivariate copula function is developed in order to assess flood frequency. the analysis used 34 years hourly discharge data from year 1965 until year 2010 from johor river basin from which the annual maximum were derived. on evaluation of various probability distributions for representation of flood variables, it is found that the peak flow can be fitted as generalized pareto (gp) distribution while flood duration and flood volume are well represented as generalized extreme value (gev). the joint distribution is modeled using five trivariate copulas namely clayton, gumbel, frank, gaussian and student-t copulas. based on the performance measure and simulation, it is found that clayton copula is the best copula to represent the trivariate dependency structure of flood properties as compared to copulas. the obtained copula based joint distributions are used to calculate the return period of flood risks. the study concludes that the trivariate copula based methodology is a suitable choice for effective risk assessment of flood frequency analysis as it is able to consider the entire characteristics of flood variables.
format Thesis
author Salleh, Norizzati
author_facet Salleh, Norizzati
author_sort Salleh, Norizzati
title Trivariate copula for flood frequency analysis in Johor river basin
title_short Trivariate copula for flood frequency analysis in Johor river basin
title_full Trivariate copula for flood frequency analysis in Johor river basin
title_fullStr Trivariate copula for flood frequency analysis in Johor river basin
title_full_unstemmed Trivariate copula for flood frequency analysis in Johor river basin
title_sort trivariate copula for flood frequency analysis in johor river basin
publishDate 2017
url http://eprints.utm.my/id/eprint/81515/1/NorizzatiSallehMFS2017.pdf
http://eprints.utm.my/id/eprint/81515/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:124962
_version_ 1643658733468778496
score 13.211869

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