Deriving Design Flood Hydrographs Based on Copula Function: A Case Study in Pakistan

Flood events are characterized by flood peaks and volumes that can be mutually constructed using a copula function. The Indus basin system of Pakistan is periodically threatened by floods during monsoon seasons and thus causes huge losses to infrastructure as well as the community and economy. The d...
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Autor*in:	Muhammad Rizwan [verfasserIn] Shenglian Guo [verfasserIn] Jiabo Yin [verfasserIn] Feng Xiong [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	multivariate analysis copula function most likely combination equal frequency combination design flood hydrograph

Übergeordnetes Werk:	In: Water - MDPI AG, 2010, 11(2019), 8, p 1531
Übergeordnetes Werk:	volume:11 ; year:2019 ; number:8, p 1531

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/w11081531

Katalog-ID:	DOAJ052764893

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520			\|a Flood events are characterized by flood peaks and volumes that can be mutually constructed using a copula function. The Indus basin system of Pakistan is periodically threatened by floods during monsoon seasons and thus causes huge losses to infrastructure as well as the community and economy. The design flood hydrograph (DFH) of suitable magnitude and degree is imperative for sheltering dams against the flood risk. The hydrological pair of flood peak and volume is required to be defined using a multivariate analysis method. In this paper, the joint probability function of the hydrological pair is employed to derive the DFH in the Indus basin system of Pakistan. Firstly, we compared the fitting performance of different probability distributions (PDs) as a marginal distribution. Next, we compared the Archimedean family of copulas to construct the bivariate joint distribution of flood peak and volume. Later, the equal frequency combination (EFC) method and most likely combination (MLC) method using “OR” joint return period (JRP<sub<or</sub<), was involved to derive the design flood quantiles. Finally, we derived the DFH using the two combination methods based on Gumbel−Hougaard copula for different return periods. We presented the combination methods for updating the shape of the DFH in Pakistan. Our study will contribute towards the improvement of design standards of dams and environmental recovery in Pakistan.
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language	English
source	In Water 11(2019), 8, p 1531 volume:11 year:2019 number:8, p 1531
sourceStr	In Water 11(2019), 8, p 1531 volume:11 year:2019 number:8, p 1531
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	multivariate analysis copula function most likely combination equal frequency combination design flood hydrograph Hydraulic engineering Water supply for domestic and industrial purposes
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container_title	Water
authorswithroles_txt_mv	Muhammad Rizwan @@aut@@ Shenglian Guo @@aut@@ Jiabo Yin @@aut@@ Feng Xiong @@aut@@
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The Indus basin system of Pakistan is periodically threatened by floods during monsoon seasons and thus causes huge losses to infrastructure as well as the community and economy. The design flood hydrograph (DFH) of suitable magnitude and degree is imperative for sheltering dams against the flood risk. The hydrological pair of flood peak and volume is required to be defined using a multivariate analysis method. In this paper, the joint probability function of the hydrological pair is employed to derive the DFH in the Indus basin system of Pakistan. Firstly, we compared the fitting performance of different probability distributions (PDs) as a marginal distribution. Next, we compared the Archimedean family of copulas to construct the bivariate joint distribution of flood peak and volume. Later, the equal frequency combination (EFC) method and most likely combination (MLC) method using “OR” joint return period (JRP<sub<or</sub<), was involved to derive the design flood quantiles. Finally, we derived the DFH using the two combination methods based on Gumbel−Hougaard copula for different return periods. We presented the combination methods for updating the shape of the DFH in Pakistan. 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callnumber-first	T - Technology
author	Muhammad Rizwan
spellingShingle	Muhammad Rizwan misc TC1-978 misc TD201-500 misc multivariate analysis misc copula function misc most likely combination misc equal frequency combination misc design flood hydrograph misc Hydraulic engineering misc Water supply for domestic and industrial purposes Deriving Design Flood Hydrographs Based on Copula Function: A Case Study in Pakistan
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topic_title	TC1-978 TD201-500 Deriving Design Flood Hydrographs Based on Copula Function: A Case Study in Pakistan multivariate analysis copula function most likely combination equal frequency combination design flood hydrograph
topic	misc TC1-978 misc TD201-500 misc multivariate analysis misc copula function misc most likely combination misc equal frequency combination misc design flood hydrograph misc Hydraulic engineering misc Water supply for domestic and industrial purposes
topic_unstemmed	misc TC1-978 misc TD201-500 misc multivariate analysis misc copula function misc most likely combination misc equal frequency combination misc design flood hydrograph misc Hydraulic engineering misc Water supply for domestic and industrial purposes
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title	Deriving Design Flood Hydrographs Based on Copula Function: A Case Study in Pakistan
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title_sort	deriving design flood hydrographs based on copula function: a case study in pakistan
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title_auth	Deriving Design Flood Hydrographs Based on Copula Function: A Case Study in Pakistan
abstract	Flood events are characterized by flood peaks and volumes that can be mutually constructed using a copula function. The Indus basin system of Pakistan is periodically threatened by floods during monsoon seasons and thus causes huge losses to infrastructure as well as the community and economy. The design flood hydrograph (DFH) of suitable magnitude and degree is imperative for sheltering dams against the flood risk. The hydrological pair of flood peak and volume is required to be defined using a multivariate analysis method. In this paper, the joint probability function of the hydrological pair is employed to derive the DFH in the Indus basin system of Pakistan. Firstly, we compared the fitting performance of different probability distributions (PDs) as a marginal distribution. Next, we compared the Archimedean family of copulas to construct the bivariate joint distribution of flood peak and volume. Later, the equal frequency combination (EFC) method and most likely combination (MLC) method using “OR” joint return period (JRP<sub<or</sub<), was involved to derive the design flood quantiles. Finally, we derived the DFH using the two combination methods based on Gumbel−Hougaard copula for different return periods. We presented the combination methods for updating the shape of the DFH in Pakistan. Our study will contribute towards the improvement of design standards of dams and environmental recovery in Pakistan.
abstractGer	Flood events are characterized by flood peaks and volumes that can be mutually constructed using a copula function. The Indus basin system of Pakistan is periodically threatened by floods during monsoon seasons and thus causes huge losses to infrastructure as well as the community and economy. The design flood hydrograph (DFH) of suitable magnitude and degree is imperative for sheltering dams against the flood risk. The hydrological pair of flood peak and volume is required to be defined using a multivariate analysis method. In this paper, the joint probability function of the hydrological pair is employed to derive the DFH in the Indus basin system of Pakistan. Firstly, we compared the fitting performance of different probability distributions (PDs) as a marginal distribution. Next, we compared the Archimedean family of copulas to construct the bivariate joint distribution of flood peak and volume. Later, the equal frequency combination (EFC) method and most likely combination (MLC) method using “OR” joint return period (JRP<sub<or</sub<), was involved to derive the design flood quantiles. Finally, we derived the DFH using the two combination methods based on Gumbel−Hougaard copula for different return periods. We presented the combination methods for updating the shape of the DFH in Pakistan. Our study will contribute towards the improvement of design standards of dams and environmental recovery in Pakistan.
abstract_unstemmed	Flood events are characterized by flood peaks and volumes that can be mutually constructed using a copula function. The Indus basin system of Pakistan is periodically threatened by floods during monsoon seasons and thus causes huge losses to infrastructure as well as the community and economy. The design flood hydrograph (DFH) of suitable magnitude and degree is imperative for sheltering dams against the flood risk. The hydrological pair of flood peak and volume is required to be defined using a multivariate analysis method. In this paper, the joint probability function of the hydrological pair is employed to derive the DFH in the Indus basin system of Pakistan. Firstly, we compared the fitting performance of different probability distributions (PDs) as a marginal distribution. Next, we compared the Archimedean family of copulas to construct the bivariate joint distribution of flood peak and volume. Later, the equal frequency combination (EFC) method and most likely combination (MLC) method using “OR” joint return period (JRP<sub<or</sub<), was involved to derive the design flood quantiles. Finally, we derived the DFH using the two combination methods based on Gumbel−Hougaard copula for different return periods. We presented the combination methods for updating the shape of the DFH in Pakistan. Our study will contribute towards the improvement of design standards of dams and environmental recovery in Pakistan.
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title_short	Deriving Design Flood Hydrographs Based on Copula Function: A Case Study in Pakistan
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