Statistical distribution of rainfall in Uttarakhand, India

Abstract Understanding of rainfall is an important issue for Uttarakhand, India which having varied topography and due to that extreme rainfall causes quick runoff which warns structural and functional safety of large structures and other natural resources. In this study, an attempt has been made to...

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Main Authors: Vikram Kumar, Shanu, Jahangeer
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Applied Water Science
Subjects:
Online Access:http://link.springer.com/article/10.1007/s13201-017-0586-5
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author Vikram Kumar
Shanu
Jahangeer
author_facet Vikram Kumar
Shanu
Jahangeer
author_sort Vikram Kumar
collection DOAJ
description Abstract Understanding of rainfall is an important issue for Uttarakhand, India which having varied topography and due to that extreme rainfall causes quick runoff which warns structural and functional safety of large structures and other natural resources. In this study, an attempt has been made to determine the best-fit distribution of the annual series of rainfall data for the period of 1991–2002 of 13 districts of Uttarakhand. A best-fit distribution such as Chi-squared, Chi-squared (2P), exponential, exponential (2P), gamma, gamma (3P), gen. extreme value (GEV), log-Pearson 3, Weibull, Weibull (3P) distributions was applied. Comparisons of best distributions were based on the use of goodness-of-fit tests such as Kolmogorov–Smirnov, Anderson–Darling, and Chi squared. Results showed that the Weibull distribution performed the best with 46% of the total district, while the second best distribution was Chi squared (2P) and log-Pearson. The results of this study would be useful to the water resource engineers, policy makers and planners for the agricultural development and conservation of natural resources of Uttarakhand.
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spelling doaj.art-1c68e8f65e3f4518a984e4daaec946c82022-12-21T19:03:35ZengSpringerOpenApplied Water Science2190-54872190-54952017-07-01784765477610.1007/s13201-017-0586-5Statistical distribution of rainfall in Uttarakhand, IndiaVikram Kumar0Shanu1Jahangeer2Department of Hydrology, IIT RoorkeeDepartment of Electrical Engineering, MNIT JaipurDepartment of Hydrology, IIT RoorkeeAbstract Understanding of rainfall is an important issue for Uttarakhand, India which having varied topography and due to that extreme rainfall causes quick runoff which warns structural and functional safety of large structures and other natural resources. In this study, an attempt has been made to determine the best-fit distribution of the annual series of rainfall data for the period of 1991–2002 of 13 districts of Uttarakhand. A best-fit distribution such as Chi-squared, Chi-squared (2P), exponential, exponential (2P), gamma, gamma (3P), gen. extreme value (GEV), log-Pearson 3, Weibull, Weibull (3P) distributions was applied. Comparisons of best distributions were based on the use of goodness-of-fit tests such as Kolmogorov–Smirnov, Anderson–Darling, and Chi squared. Results showed that the Weibull distribution performed the best with 46% of the total district, while the second best distribution was Chi squared (2P) and log-Pearson. The results of this study would be useful to the water resource engineers, policy makers and planners for the agricultural development and conservation of natural resources of Uttarakhand.http://link.springer.com/article/10.1007/s13201-017-0586-5Best-fit distributionAnderson–DarlingChi squareKolmogorov–Smirnov
spellingShingle Vikram Kumar
Shanu
Jahangeer
Statistical distribution of rainfall in Uttarakhand, India
Applied Water Science
Best-fit distribution
Anderson–Darling
Chi square
Kolmogorov–Smirnov
title Statistical distribution of rainfall in Uttarakhand, India
title_full Statistical distribution of rainfall in Uttarakhand, India
title_fullStr Statistical distribution of rainfall in Uttarakhand, India
title_full_unstemmed Statistical distribution of rainfall in Uttarakhand, India
title_short Statistical distribution of rainfall in Uttarakhand, India
title_sort statistical distribution of rainfall in uttarakhand india
topic Best-fit distribution
Anderson–Darling
Chi square
Kolmogorov–Smirnov
url http://link.springer.com/article/10.1007/s13201-017-0586-5
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