Evaluation of Probability Distributions for Estimation of Peak Flood Discharge using FFA Approach

N. Vivekanandan*
Central Water and Power Research Station, Pune, Maharashtra, India.
Periodicity:April - June'2023
DOI : https://doi.org/10.26634/jce.13.2.19947


The estimation of Peak Flood Discharge (PFD) for a specific return period is of paramount importance in hydrological studies for the planning, design, and management of civil and hydraulic structures. This research investigates the evaluation of probability distributions through statistical tests, viz., the Chi-Square, Kolmogorov-Smirnov, and D-index. These tests aid in estimating the PFD using the Flood Frequency Analysis (FFA) approach for the Tapi River at Prakasha Barrage. In this analysis, various distributions from the extreme value family such as Extreme Value Type-1, Extreme Value Type-2, Generalized Extreme Value (GEV), and Pareto, were employed in the FFA. The distribution parameters are determined by standard techniques, such as the method of moments, Maximum Likelihood Method (MLM), and the Method of L-Moments (LMO). A qualitative assessment, along with the D-index value, was employed to select the most suitable distribution for the analyzed data. This study demonstrates that among the four distributions adopted in FFA, the GEV (LMO) distribution exhibits the best fit. Furthermore, this research suggests the use of PFDs derived from the GEV (LMO) distribution for design purposes.


Chi-Square, D-index, Generalized Extreme Value, Kolmogorov-Smirnov, L- Moments, Peak Flood Discharge.

How to Cite this Article?

Vivekanandan, N. (2023). Evaluation of Probability Distributions for Estimation of Peak Flood Discharge using FFA Approach. i-manager's Journal on Civil Engineering, 13(2), 14-20. https://doi.org/10.26634/jce.13.2.19947


[3]. Koyejo, S. O., Akomolafe, A. A., Awogbemi, C. A., & Oladimeji, A. O. (2020). Extension of comparative analysis of estimation methods for Frechet distribution parameters. International Journal of Research and Innovation in Applied Science, 5(4), 58-75.
[8]. Rao, A.R., & Hamed, K.H. (2000). Flood Frequency Analysis. CRC Press, Boca Raton, Florida, USA.
[14]. USWRC. (1975). Guidelines for Determining Flood Flow Frequency (No. 17). US Water Resources Council, Hydrology Committee.
[15]. Vivekanandan, N., & Srishailam, C. (2020). Selection of best fit probability distribution for extreme value analysis of rainfall. CBIP Water and Energy International, 63(10), 13-19.
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