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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

Abstract

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.

Keywords

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

References

[1]. Bezak, N., Brilly, M., & Šraj, M. (2014). Comparison between the peaks-over-threshold method and the annual maximum method for flood frequency analysis. Hydrological Sciences Journal, 59(5), 959-977.

[2]. Bhat, M. S., Alam, A., Ahmad, B., Kotlia, B. S., Farooq, H., Taloor, A. K., & Ahmad, S. (2019). Flood frequency analysis of river Jhelum in Kashmir basin. Quaternary International, 507, 288-294.

[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.

[4]. Lima, C.H., Lall, U., Troy, T., & Devineni, N. (2016). A hierarchical Bayesian GEV model for improving local and regional flood quantile estimates. Journal of Hydrology, 541, 816- 823.

[5]. Murphy, P. J. (2001). Evaluation of mixed-population flood-frequency analysis. Journal of Hydrologic Engineering, 6(1), 62-70.

[6]. Mukherjee, M.K. (2013). Flood frequency analysis of River Subernarekha, India, using Gumbel's extreme value distribution. International Journal of Computational Engineering Research, 3(7), 12–19.

[7]. Pawar, U., & Hire, P. (2018). Flood frequency analysis of the Mahi Basin by using Log Pearson Type III probability distribution. Hydrospatial Analysis, 2(2), 102–112.

[8]. Rao, A.R., & Hamed, K.H. (2000). Flood Frequency Analysis. CRC Press, Boca Raton, Florida, USA.

[9]. Sabarish, R.M., Narasimhan, R., Chandhru, A. R., Suribabu, C. R., Sudharsan, J., & Nithiyanantham, S. (2015). Probability analysis for consecutive-day maximum rainfall for Tiruchirapalli City (South India, Asia). Applied Water Science, 7, 1033-1042.

[10]. Sahoo, B. B., Jha, R., Singh, A., & Kumar, D. (2020). Bivariate low flow return period analysis in the Mahanadi River basin, India using copula. International Journal of River Basin Management, 18(1), 107–116.

[11]. Sasireka, K., Suribabu, C. R., & Neelakantan, T.R. (2019). Extreme rainfall return periods using Gumbel and Gamma distributions. International Journal of Recent Technology and Engineering, 8(4), 27-29.

[12]. Subyani, A.M. (2011). Hydrologic behavior and flood probability for selected arid basins in Makkah area,Western Saudi Arabia. Arabian Journal of Geosciences, 4(5– 6), 817–824.

[13]. Tanaka, T., Tachikawa, Y., Ichikawa, Y., & Yorozu, K. (2017). Impact assessment of upstream flooding on extreme flood frequency analysis by incorporating a flood- inundation model for flood risk assessment. Journal of Hydrology, 554, 370–382.

[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.

[16]. Zhang, J. (2002). Powerful goodness-of-fit tests based on the likelihood ratio. Journal of the Royal Statistical Society Series B: Statistical Methodology, 64(2), 281-294.

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

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