Comparison of L-moments of Probability Distributions for Extreme Value Analysis of Rainfall for Estimation of Peak Flood Discharge for Ungauged Catchments

Authors(1) :-N. Vivekanandan

Estimation of Peak Flood Discharge (PFD) at a desired location on a river is important for planning, design and management of hydraulic structures. For ungauged catchment, rainfall depth becomes an important input in derivation of PFD. So, rainfall depth can be estimated through frequency analysis by fitting of probability distributions to the rainfall data. In this paper, the series of annual 1-day maximum rainfall derived from daily rainfall data recorded at Una district is used to estimate the 1-day maximum rainfall adopting six probability distributions. Method of L-moments is used for determination of parameters of distributions. Goodness-of-Fit tests viz., Chi-square and Kolmogorov-Smirnov are applied for checking the adequacy of fitting of probability distributions to the recorded data. Root Mean Square Error (RMSE) is used for the selection of most suitable probability distribution for estimation of rainfall. Based on GoF test results and RMSE values, the study identifies the Extreme Value Type-1 (EV1) is better suited distribution for rainfall estimation. By applying the procedures, as described in CWC guidelines, the 1-hour value of distributed rainfall is computed from the estimated 1-day maximum rainfall using EV1 distribution and adopted for computation of PFD for ungauged catchment. The study suggests the computed PFD from rational formula could be considered for design of flood protection measures for river Swan and its tributaries joining the Beas river basin, Himachal Pradesh.

Authors and Affiliations

N. Vivekanandan
Central Water and Power Research Station, Pune, Maharashtra, India

Chi-square, Extreme Value, Kolmogorov-Smirnov, Mean Square Error, Rainfall, Peak Flood

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Publication Details

Published in : Volume 1 | Issue 5 | November-December 2015
Date of Publication : 2015-12-25
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 35-41
Manuscript Number : IJSRST151515
Publisher : Technoscience Academy

Print ISSN : 2395-6011, Online ISSN : 2395-602X

Cite This Article :

N. Vivekanandan, " Comparison of L-moments of Probability Distributions for Extreme Value Analysis of Rainfall for Estimation of Peak Flood Discharge for Ungauged Catchments", International Journal of Scientific Research in Science and Technology(IJSRST), Print ISSN : 2395-6011, Online ISSN : 2395-602X, Volume 1, Issue 5, pp.35-41, November-December-2015.
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