Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments

Extremes precipitation may cause a series of social, environmental, and ecological problems. Estimation of frequency of extreme precipitations and its magnitude is vital for making decisions about hydraulic structures such as dams, spillways, and dikes. In this study, we focus on regional frequency...

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Main Authors: Said Arab Khan, Ijaz Hussain, Tajammal Hussain, Muhammad Faisal, Yousaf Shad Muhammad, Alaa Mohamd Shoukry
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Advances in Meteorology
Online Access:http://dx.doi.org/10.1155/2017/6954902
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spelling doaj-ad8d092d5eb74be59be22534983c73812020-11-24T22:14:41ZengHindawi LimitedAdvances in Meteorology1687-93091687-93172017-01-01201710.1155/2017/69549026954902Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-MomentsSaid Arab Khan0Ijaz Hussain1Tajammal Hussain2Muhammad Faisal3Yousaf Shad Muhammad4Alaa Mohamd Shoukry5Department of Statistics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Statistics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Statistics, COMSATS Institute of Information Technology, Lahore, PakistanFaculty of Health Studies, University of Bradford, Bradford, UKDepartment of Statistics, Quaid-i-Azam University, Islamabad, PakistanArriyadh Community College, King Saud University, Riyadh, Saudi ArabiaExtremes precipitation may cause a series of social, environmental, and ecological problems. Estimation of frequency of extreme precipitations and its magnitude is vital for making decisions about hydraulic structures such as dams, spillways, and dikes. In this study, we focus on regional frequency analysis of extreme precipitation based on monthly precipitation records (1999–2012) at 17 stations of Northern areas and Khyber Pakhtunkhwa, Pakistan. We develop regional frequency methods based on L-moment and partial L-moments (L- and PL-moments). The L- and PL-moments are derived for generalized extreme value (GEV), generalized logistic (GLO), generalized normal (GNO), and generalized Pareto (GPA) distributions. The Z-statistics and L- and PL-moments ratio diagrams of GNO, GEV, and GPA distributions were identified to represent the statistical properties of extreme precipitation in Northern areas and Khyber Pakhtunkhwa, Pakistan. We also perform a Monte Carlo simulation study to examine the sampling properties of L- and PL-moments. The results show that PL-moments perform better than L-moments for estimating large return period events.http://dx.doi.org/10.1155/2017/6954902
collection DOAJ
language English
format Article
sources DOAJ
author Said Arab Khan
Ijaz Hussain
Tajammal Hussain
Muhammad Faisal
Yousaf Shad Muhammad
Alaa Mohamd Shoukry
spellingShingle Said Arab Khan
Ijaz Hussain
Tajammal Hussain
Muhammad Faisal
Yousaf Shad Muhammad
Alaa Mohamd Shoukry
Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments
Advances in Meteorology
author_facet Said Arab Khan
Ijaz Hussain
Tajammal Hussain
Muhammad Faisal
Yousaf Shad Muhammad
Alaa Mohamd Shoukry
author_sort Said Arab Khan
title Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments
title_short Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments
title_full Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments
title_fullStr Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments
title_full_unstemmed Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments
title_sort regional frequency analysis of extremes precipitation using l-moments and partial l-moments
publisher Hindawi Limited
series Advances in Meteorology
issn 1687-9309
1687-9317
publishDate 2017-01-01
description Extremes precipitation may cause a series of social, environmental, and ecological problems. Estimation of frequency of extreme precipitations and its magnitude is vital for making decisions about hydraulic structures such as dams, spillways, and dikes. In this study, we focus on regional frequency analysis of extreme precipitation based on monthly precipitation records (1999–2012) at 17 stations of Northern areas and Khyber Pakhtunkhwa, Pakistan. We develop regional frequency methods based on L-moment and partial L-moments (L- and PL-moments). The L- and PL-moments are derived for generalized extreme value (GEV), generalized logistic (GLO), generalized normal (GNO), and generalized Pareto (GPA) distributions. The Z-statistics and L- and PL-moments ratio diagrams of GNO, GEV, and GPA distributions were identified to represent the statistical properties of extreme precipitation in Northern areas and Khyber Pakhtunkhwa, Pakistan. We also perform a Monte Carlo simulation study to examine the sampling properties of L- and PL-moments. The results show that PL-moments perform better than L-moments for estimating large return period events.
url http://dx.doi.org/10.1155/2017/6954902
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