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

Authors

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

Keywords:

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

Abstract

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.

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International Journal of Scientific Research in Science and Technology

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Published

2015-12-25

Issue

Volume 1, Issue 5, November-December-2015

Section

Research Articles

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How to Cite

[1]
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), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 1, Issue 5, pp.35-41, November-December-2015.