Estimation of peak flood discharge (PFD) for a
given return period is of utmost importance for planning and design of
hydraulic structures in the project site. The peak value of a flood discharge
having a pre-defined average return period is determined by frequency analysis,
known as flood frequency analysis (FFA). The paper compares the eight probability
distributions used for estimation of PFD for Malakkara and Neeleswaram. Maximum
likelihood method is used for determination of parameters of the probability
distributions. Goodness-of-Fit tests such as Anderson-Darling and
Kolmogorov-Smirnov are applied for checking the adequacy of fitting of the
distributions to the recorded annual maximum discharge. A diagnostic test of
D-index is used for the selection of a most suitable distribution for FFA.
Based on GoF and diagnostic test results, the study shows the EV1 distribution
is better suited for estimation of PFD for Malakkara whereas LP3 for
Neeleswaram.
Cite this paper
Vivekanandan, N. (2014). Comparison of Probability Distributions for Estimation of Peak Flood Discharge. Open Access Library Journal, 1, e498. doi: http://dx.doi.org/10.4236/oalib.1100498.
Neslihan, S., Recep, Y., Tefaruk, H. and Ahmet, D. (2010) Comparison of Probability Weighted Moments and Maximum Likelihood Methods Used in Flood Frequency Analysis for Ceyhan River Basin. Arabian Journal of Science and Engineering, 35, 49-69.
Baratti, E., Montanari, A., Castellarin, A., Salinas, J.L., Viglione, A. and Bezzi, A. (2012) Estimating the Flood Frequency Distribution at Seasonal and Annual Time Scales. Hydrological Earth System Science, 16, 4651-4660. http://dx.doi.org/10.5194/hess-16-4651-2012
May, W. (2004) Variability and Extremes of Daily Rainfall during the Indian Summer Monsoon in the Period 1901- 1989. Journal of Global & Planetary Change, 44, 83-105. http://dx.doi.org/10.1016/j.gloplacha.2004.06.007
Sharda, V.N. and Das, P.K. (2005) Modelling Weekly Rainfall Data for Crop Planning in a Sub-Humid Climate of India. Journal of Agricultural and Water Management, 76, 120-138. http://dx.doi.org/10.1016/j.agwat.2005.01.010
Salami, A.W. (2004) Prediction of the Annual Flow Regime along ASA River Using Probability Distribution Models. AMSE Periodicals. Modelling, Measurement and Control, 65, 41-56.
Lee, C. (2005) Application of Rainfall Frequency Analysis on Studying Rainfall Distribution Characteristics of Chia- Nan Plain area in Southern Taiwan. Journal of Crop, Environment & Bioinformatics, 2, 31-38.
Bhakar, S.R., Bansal, A.K., Chhajed, N. and Purohit R.C. (2006) Frequency Analysis of Consecutive Days Maximum Rainfall at Banswara, Rajasthan, India. ARPN Journal of Engineering and Applied Sciences, 1, 64-67.
Fang, B., Guo, S., Wang, S., Liu, P. and Xiao, Y. (2007) Non-Identical Models for Seasonal Flood Frequency Analysis. Journal of Hydrological Sciences, 52, 974-991. http://dx.doi.org/10.1623/hysj.52.5.974
Chen, L., Guo, S., Yan, B., Liu, P. and Fang, B. (2010) A New Seasonal Design Flood Method Based on Bivariate Joint Distribution of Flood Magnitude and Date of Occurrence. Journal of Hydrological Sciences, 55, 1264-1280. http://dx.doi.org/10.1080/02626667.2010.520564
Allamano, P., Laio, F. and Claps, P. (2011) Effects of Disregarding Seasonality on the Distribution of Hydrological Extremes. Journal of Hydrology and Earth System Sciences, 15, 3207-3215. http://dx.doi.org/10.5194/hess-15-3207-2011
Bowers, M.C., Tung, W.W. and Gao, J.B. (2012) On the Distributions of Seasonal River Flows: Lognormal or Power Law? Journal of Water Resources Research, 48, Paper No. W05536.
Vijayagopal, P., Vivekanandan, N. and Kannan, S. (2013) Assessing Adequacy of Probability Distribution for Development of IDF Relationships for Mandla and Jabalpur. Journal of Scientific Research and Reviews, 2, 99-114.
Zhang, J. (2002) Powerful Goodness-of-Fit Tests Based on the Likelihood Ratio. Journal of Royal Statistical Society Series B, 64, 281-294. http://dx.doi.org/10.1111/1467-9868.00337