Statistical Analysis of Rainfall Data and Estimation of Peak Flood Discharge for Ungauged Catchments
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 catchments, rainfall depth becomes an important input in derivation of PFD. So, rainfall depth can be estimated through statistical analysis by fitting probability distribution to the rainfall data. In this paper, the series of annual 1-day maximum rainfall derived from the daily rainfall data recorded at Manjuhi Khad is used for estimation of 1-day extreme rainfall adopting Extreme Value Type-1 (EV1) distribution. Maximum Likelihood Method (MLM) is used for determination of parameters of the distribution. AndersonDarling test is applied for checking the adequacy of fitting of the distribution to the recorded rainfall data. The estimated 1-day extreme rainfall obtained from EV1 distribution is used to compute the 1-hour maximum value of distributed rainfall that is considered as an input to estimate the PFD by rational formula. The study suggests the estimated PFD could be used for design of flood protection measures for ungauged catchments of Bhul and Manjuhi Khad, Himachal Pradesh
Anderson-Darling test, Extreme Value Type-1, Rainfall, Peak flood discharge, Maximum likelihood method
 Singh, R.D., Mishra, S.K. and Chowdhary, H., “Regional flow duration models for 1200 ungauged Himalayan watersheds for planning micro-hydro projects”, ASCE Journal of Hydrologic Engineering, 2001, Vol. 6, No. 4, pp. 310-316.
 Casas, M.C., Rodriguez, R., Prohom, M., Gazquez, A. and Redano, A., “Estimation of the probable maximum precipitation in Barcelona (Spain)”, Journal of Climatology, 2011, Vol. 31, No. 9, pp. 1322–1327.
 Lee, B.H., Ahn, D.J., Kim, H.G. and Ha, Y.C., “An estimation of the extreme wind speed using the Korea wind map”, Renewable Energy, 2012, Vol. 42, No. 1, pp. 4–10.
 Daneshfaraz, R., Nemati, S., Asadi, H. and Menazadeh, M., “Comparison of four distributions for frequency analysis of wind speed: A case study”, Journal of Civil Engineering and Urbanism, 2013, Vol.3, No.1, pp. 6-11.
 Olumide, B.A., Saidu, M. and Oluwasesan, A., “Evaluation of best fit probability distribution models for the prediction of rainfall and runoff volume (Case study: Tagwai Dam, Minna-Nigeria)”, Journal of Engineering and Technology, 2013, Vo1. 3, No. 2, pp.94-98.
 Rasel, M.M. and Hossain, S.M., “Development of rainfall intensity duration frequency equations and curves for seven divisions in Bangladesh”, International Journal of Scientific and Engineering Research, 2015, Vol. 6, No. 5, pp. 96-101.
 Gumbel, E.J., “Statistic of Extremes”, 2nd edition, Columbia Univ. Press, New York, 1960.
 Charles Annis, P.E., “Goodness-of-Fit tests for statistical distributions”, [http://www.statistical engineering. com/ goodness. html], 2009.
 CWC, “Flood estimation report for Western Himalayas-Zone 7”, Central Water Commission Design Office Report No.: WH/22/1994, New Delhi, 1994.
[N. Vivekanandan (2016), Statistical Analysis of Rainfall Data and Estimation of Peak Flood Discharge for Ungauged Catchments, International Journal of Innovative Research in Computer Science & Technology (IJIRCST), Vol-4, Issue-2, Page No-34-37], (ISSN 2347 - 5552). www.ijircst.org
Central Water and Power Research Station, Pune 411024, Maharashtra, India, Phone: 020-24103367