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A Comparative Study on Peak Flood Discharge Estimates by Extreme Value Family of Probability Distributions

Vivekanandan N.*

Scientist-B, Central Water and Power Research Station, Pune, Maharashtra, India.

Periodicity:August - October'2020
DOI : https://doi.org/10.26634/jfet.16.1.17521

Abstract

Estimation of Peak Flood Discharge (PFD) for a given return period is of utmost importance for planning and in design of hydraulic structures. This can be achieved through Flood Frequency Analysis (FFA) of stream flow data by fitting Extreme Value family of Distributions (EVD) that consists of Generalized Extreme Value, Extreme Value Type-1, Extreme Value Type-2 and Generalized Pareto to the series of observed Annual Maximum Discharge (AMD) data. Based on the intended applications and the variate under consideration, Method of Moments (MoM), Maximum Likelihood Method (MLM) and LMoments (LMO) are used for determination of parameters of the distributions. In this paper, a comparative study on PFD estimates adopting EVD for Bhuntar, Manali and Parvati sites is carried out. The adequacy of fitting EVD applied in FFA has been evaluated by quantitative assessment using Goodness-of-Fit (Chi-square and Kolmogorov-Smirnov) and diagnostic (D-index) tests, and qualitative assessment by the fitted curves of the estimated values. This paper presents that the GPA (LMO) distribution is a best fit for estimation of PFD at Bhuntar while GEV (LMO) for Manali and EV1 (LMO) for Parvati.

Keywords

Chi-Square, D-Index, Kolmogorov-Smirnov, L-Moments, Method of Moments, Maximum Likelihood Method, Peak Flood Discharge, Probability Distribution

How to Cite this Article?

Vivekanandan, N. (2020). A Comparative Study on Peak Flood Discharge Estimates by Extreme Value Family of Probability Distributions. i-manager's Journal on Future Engineering and Technology, 16(1), 1-10. https://doi.org/10.26634/jfet.16.1.17521

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