Regional flood frequency analysis for gauged and ungauged cathments of seyhan river basin in Turkey

  • Neslihan Seçkin Cukurova University
  • Recep Yurtal Cukurova University
  • Tefaruk Haktanır Erciyes University
Keywords: Cv-based method, Flood frequency analysis, L-moments


Regionalflood frequency analysis for the SeyhanBasin in Turkey is done by two different approaches,and generalized growth curves to be used at un-gauged sites are developed byeither method. First, the homogeneity of the annual flood peaks series recordedat 11 un-regulated gauging stations in the Seyhan Basin is analyzed by theconventional Cv (coefficient of variation) test; and second, discordance,homogeneity, and goodness-of-fit by the Z tests by the method of L-moments areperformed. The Seyhan Basin is subdivided intothree homogeneous sub-basins from the aspect of annual flood peaks based on theCv test, which detects regions having recorded series with variationcoefficients close in magnitudes. The probability distributions of Log-Logistic,Pearson-3, log-Pearson-3, Gumbel, and Wakeby, whose parameters are computed bythe method of probability-weighted moments, are taken as candidatedistributions. The goodness-of-fit tests of Kolmogorov-Smirnov and Crammer VonMisses are applied, and the Wakeby distribution is found to be superior to theothers.  According to the analyses by theL-moments method, the Seyhan Basin as a whole turned outto be a homogeneous region. By inspection of the L-moment ratio diagrams of L-variationversus L-skewness and L-skewness versus L-kurtosis of those 11 series, and bythe Z-statistic analysis of the L-moments method, the Log-Logistic distributionis found to represent the recorded series of annual flood peaks more closely.By regression, an expression relating average peak discharge (Qav)to the catchment area is obtained, and growth curves for the frequency of floodpeaks (Qmax.) by both the Cv-based and the L-moments methodsare developed using the data of those 11 gauged sites.

Author Biographies

Neslihan Seçkin, Cukurova University
Civil Engineering
Recep Yurtal, Cukurova University
Civil Engineering
Tefaruk Haktanır, Erciyes University
Civil Engineering


Bobee, B. and Rassmussen, P.F. (1995) Recent advances in flood frequency analysis. Reviews of Geophysics, Supplement, US national Report to International Union of Geodesy and Gephysics, 1991-1994, 1111-1116.

Cunnane, C. (1988) Methods and merits of regional flood frequency analysis. Journal of Hydrology, 100, 269-290.

Cunnane, C. (1989) Statistical Distributions for Flood Frequency Analysis. World Meteorological Organization Operational Hydrology, Report No. 33, WMO, No.718, Geneva, Switzerland.

Dalrymple, T., (1960). ‘Flood Frequency Methods’ Water Supply Paper 1543, US Geological Survey, pp11-51.

Greenwood, J.A., Landwehr, J.M., et. al., (1979). Probability weighted moments: definition and relation to parameters of several distribution exprensible in Inverse form, Water Resources Research, 15, 5, 1049-1054 .

Haktanir, T. (1990) A few distribution compiled together for flood frequency analysis. DOGA, Turkish Journal of Engineering and Environmental Sciences. 14(1), 146-165.

Haktanir, T. (1992) Comparison of various flood frequency distributions using annual flood peaks data of rivers in Anatolia. Journal of Hydrology. 136 (1-4), 1-31.

Hosking, J.R.M., (1990). L-Moments:Analysis and Estimation of Distributions Using Lineer Combinations of Order Statistics. J. Royal Statistical Society, 52(2): 105-124.

Hosking, J.R.M., (1991). FORTRAN Routines for Use with the Method of L-Moments. Research Report RC-17097, IBM Research Division, T. J. Watson Research Center, Yorktown Heights, New York.

Hosking, J.R.M., Wallis J.R., and Wood, E.F., (1984). Estimation of the Generalized Extrem-Value Distribution by the Method of Probability Weighted Moments. Institute of Hydrology. Report No 89. 25 pp.

Hosking, J.R.M., Wallıs, J.R., and Wood, E.F., (1985b).

Estimation of The Generalized Extreme Value Distribution By The Method of Probability Weighted Moments. Technometrics, 27(3): 251-261.

Hosking, J.R.M., (1986). The Theory of Probability Weighted Moments. Research Rep. RC 12210, 160 pp., IBM Research Division, Yorktown Heights, NY

Hosking, J.R.M., (1991). Approximations for use in Constructing L-moments Ratio Diagrams. Res Report, RC-16635, vol 3, IBM Res Division, New York.

Hosking, J.R.M., and Wallis J.R., (1997). Regional Frequency Analysis-an Approach based on L-moments. Cambridge University Pres, New York.

Hosking, J.R.M., and Wallis J.R, (1993). Some Statistics useful in Regional Frequency Analysis. Water Resources Research, vol 29, no 2, pp 271-281.

Houghton, J.C. (1978) Birth of a parent: the Wakeby distribution for modeling flood flows. Water Resources research, 14(6), 1105-1110.

Jaiswal, R.K., Goel, N.K., Singh, P. and Thomas, T., (2003). L-moment based Flood Frequency Modelling, The Institution of Engineers (India), vol 84, pp 6-10.

Kumar, R. ,Chatterjee, C., Panigrihy N., Patwary, B.C., Singh., R.D., (2003). Development of Regional Flood Formulae using L-moments for Gauged and Ungauged Catchments of North Brahmaputra River System. The Institution of Engineers (India), vol 84, pp 57-63.

Mosley, M.P. (1981) Delimination of New Zeland Hydrological Regions. J. Hydrology, 49, 173-192.

National Research Council (1988) Estimating Probabilities of Extreme Floods, Methods and Recommended Research. Committe on Techniques for Estimating Probabilities of Extreme Floods, National Academy Press, Washington, D.C.

NERC (1975) Flood studies report. National Environment Research Council, London, 1(5).

Parida, B.P., Kachroo, R.K., and Shrestha, D.B., (1998).Regional Flood Frequency Analysis of Mahi-Sabarmati Basin (Subzone 3-a) using Index Flood Procedure with L-moments. Water Resources Management. 12:1-12.

Parr, W.C., 1983. A Note on The Jackknife, The Bootstrap and The Delta Method Estimators of Bias and Variance. Biometrica, 70(3): 719-722.

Rao R., and Hamed, K.H., (1997). Regional Frequency Analysis of Wabash River Flood Data By L-moments. Journal of Hydrologic Engineering, pp 169-179.

Sankarasubramanian, A and Srinivasan, K (1999) Investigation and comparison of sampling properties of L-moments and conventional moments. Journal of Hydrology, 218, 13-34.

Smithers, J.C. and Schulze, R.E. (2001) A methodology for the estimation of short duration design storms in Africa using a regional approach based on L-moments. Journal of Hydrology, 241, 42-52.

Stedinger, J.R.; Vogel, R.M.; Foufoula-Georgiou, M. (1993) Frequency Analysis of Extreme Events. in Handbook of Hydrology ed. D.R. Maidment, Ch.18, McGraw-Hill.

Wiltshire, S.W. (1986) Identification of homogeneous regions for flood frequency analysis. Journal of Hydrology. 84, 287-302.

Civil Engineering