Regional Flood Frequency Analysis Using L Moments for the Buyuk and Kucuk Menderes River Basins of Turkey
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Volume 14, Issue 8
Abstract
The main goal of this study was to determine regional probability distributions for the annual maximum flood data observed at 45 streamflow gauging sites in the Kucuk and Buyuk River Basins in Turkey using index flood L moments. Mann–Kendall trend analysis was previously applied to the streamflow gauging sites’s observed data, and dam effects were sought at all stations. Seven sites were omitted from the analysis because they were not unregulated or trends were present in the data. A regional analysis was performed on the remaining 36 sites, which satisfied the screening criteria of having a minimum record length of , representing unregulated natural flows, and passing the Mann–Kendall test at the 5% significance level. Data from the 36 streamflow gauging sites in the basins were screened using the discordancy measure . Homogeneity of the region was then tested using the L-moments heterogeneity measure by carrying out 500 simulations using the four parameter kappa distribution. Based on these tests, the streamflow gauging sites were found to constitute two homogeneous subregions, namely the upper- and lower-Menderes subregions. Seven comparative regional flood frequency analysis studies were carried out for each subregion using various L-moment-based frequency distributions: the generalized logistic, general extreme value, generalized normal, Pearson Type III, generalized Pareto, kappa, and the five-parameter Wakeby. Based on the L-moment goodness of fit statistic criterion, the generalized normal extreme value distribution has been identified as the best-fit distribution for the upper- and lower-Menderes subregions. A Monte Carlo simulation was used to evaluate the results on the basis of the relative root mean square error relative bias. For estimation of floods of various return periods for ungauged catchments, a regional relationship between mean annual peak flood and catchment area was developed and coupled with the regional flood frequency relationship derived for gauged catchments.
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Acknowledgments
The writer would like to thank the anonymous reviewers for their constructive comments and suggestions.
References
Atiem, A., and Harmancioglu, N. B. (2006). “Assessment of regional floods using L-moments approach: The case of the River Nile.” Water Resour. Manage., 20, 723–747.
Bobee, B., and Rasmussen, P. F. (1995). “Recent advances in flood frequency analysis.” U.S. National Rep. to International Union of Geodesy and Geophysics 1991–1994, Reviews of Geophysics, 1111–116.
Dalrymple, T. (1960). “Flood frequency methods.” U.S. Geol. Surv. Prof. Pap., 1543A.
Greenwood, J. A., Landwehr, J. M., Matalas, N. C., and Wallis, J. R. (1979). “Probability weighted moments: Definition and relation to parameters of several distributions expressible in inverse form.” Water Resour. Res., 15(5), 1049–1054.
Hall, M. J., and Minns, A. W. (1998). “Regional flood frequency analysis using artificial neural network.” Proc., 3rd Int. Conf. on Hydroinformatics, V. Babovic and L. C. Larsen, eds., Vol. 2, Balkema, Rotterdam, The Netherlands, 759–763.
Hosking, J. R., Wallis, J. R., and Wood, E. F. (1985). “Estimation of the generalized extreme value distribution by the method of probability weighted moments.” Technometrics, 27(3), 251–261.
Hosking, J. R. M. (1990). “L-moments: Analysis and estimation of distributions using linear combinations of order statistics.” J. R. Stat. Soc. Ser. B (Methodol.), 52, 105–124.
Hosking, J. R. M., and Wallis, J. R. (1993). “Some statistics useful in regional frequency analysis.” Water Resour. Res., 29(2), 271–281.
Hosking, J. R. M., and Wallis, J. R. (1997). Regional frequency analysis: An approach based on L-moments, Cambridge University Press, Cambridge, U.K.
Kirby, W. (1974). “Algebraic boundedness of sample statistics.” Water Resour. Res., 10(2), 220–222.
Kite, G. W. (1988). Frequency and risk analyses in hydrology, Water Resources, Littleton, Colo.
Kjeldsen, T. R., Smithers, J. C., and Schulze, R. E. (2001). “Flood frequency analysis at ungauged in the KwaZulu-Natal Province, South Africa.” Water SA, 27(3), 315–323.
Koutsoyiannis, D., and Baloutsos, G. (2000). “Analysis of a long record of annual maximum rainfall in Athens, Greece, and design rainfall inferences.” Natural Hazards, 22(1), 31–51.
Kumar, R., Chatterjee, C., Kumar, S., Lohani, A. K., and Singh, R. D. (2003). “Development of regional flood frequency relationships using L-moments for Middle Ganga Plains Subzone 1(f) of India.” Water Resour. Manage., 17(4), 243–257.
Kyselý, J., Picek, J., and Huth, R. (2007). “Formation of homogeneous regions for regional frequency analysis of extreme precipitation events in the Czech Republic.” Stud. Geophys. Geod., 51(2), 327–344.
Lettenmaier, D. P., and Potter, K. W. (1985). “Testing flood frequency estimation methods using a regional flood generation model.” Water Resour. Res., 21(12), 1903–1914.
Lim, Y. H., and Lye, L. M. (2003). “Regional flood estimation for ungauged basins in Sarawak, Malaysia.” J. Hydrol. Sci., 48(1), 79–94.
Madsen, M., Pearson, C. P., and Rosbjerg, D. (1997). “Comparison of annual maximum series and partial duration methods for modelling extreme hydrologic events. 2. Regional modelling.” Water Resour. Res., 33(4), 759–769.
Mkhandi, S. (1995). “Choosing a distribution for flood frequency analysis.” 7th South African National Hydrology Symp.
Mkhandi, S., and ve Kachroo, S. (1997). “Regional flood frequency analysis for Southern Africa. Southern African FRIEND.” Technical Documents in Hydrology No. 15, UNESCO, Paris. France.
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 Resour. Manage., 12, 1–12.
Pearson, C. P. (1991). “New Zealand regional flood frequency analysis using L-moments.” J. Hydrol., 30(2), 53–64.
Pearson, C. P. (1995). “Regional frequency analysis of low flows in New Zealand rivers.” J. Hydrol., 33(2), 94–122.
Pearson, C. P., McKerchar, A. I., and Woods, R. A. (1991). “Regional flood frequency analysis of Western Australian data using L-moments.” Int. Hydrology and Water Resources Symp., 631–632.
Peel, M. C., Wang, Q. J., Vogel, R., and McMahon, T. A. (2001). “The utility of L-moment ratio diagrams for selecting a regional probability distribution.” Hydrol. Sci. J., 46(1), 147–155.
Rossi, F., and Villani, P. (1994). “Regional flood estimation methods.” Coping with floods, G. Rossi, N. B. Harmancioglu, and V. Yevjevic, eds., Kluwer Academic, Dordrecht, The Netherlands, 135–169.
Saf, B. (2009). “Regional flood frequency analysis using L-moments for the West Mediterranean Region of Turkey.” Water Resources Manage. 23(3), 531–551.
Saf, B., Dikbaş, F., and Yasar, M. (2007). “Determination of regional frequency distributions of floods in West Mediterranean River Basins in Turkey.” Fresenius Environ. Bull., 16, 101300–101308.
Schaefer, M. G. (1990). “Regional analysis of precipitation annual maxima in Washington State.” Water Resour. Res., 26(1), 191–131.
Singh, C. V. (1998). “Long term estimation of monsoon rainfall using stochastic models.” Int. J. Climatol., 18, 1611–1624.
Stedinger, J. R. (1983). “Estimation of a regional flood frequency distribution.” Water Resour. Res., 19(2), 503–510.
Stedinger, J. R., Vogel, R. M., and Georgiou, E. F. (1993). “Frequency analysis of extreme events.” Handbook of hydrology, D. R. Maidment, ed., Chap. 18, McGraw-Hill, New York.
Sveinsson, O., Salas, J., and Boes, D. (2002). “Regional frequency analysis of extreme precipitation in Northeastern Colorado and Fort Collins Flood of 1997.” J. Hydrol. Eng., 7, 49–63.
Vogel, R. M., and Fennessey, N. M. (1993). “L-moments should replace product moment diagrams.” Water Resour. Res., 29(6), 1745–1752.
Vogel, R. M., and Wilson, I. (1996). “Probability distribution of annual maximum, mean, and minimum streamflows in the United States.” J. Hydrol. Eng., 1(2), 69–76.
Zafirakou-Koulouris, A., Vogel, R. M., Craig, S. M., and Habermeier, J. (1998). “L-moment diagrams for censored observations.” Water Resour. Res., 34(5), 1241–1249.
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© 2009 ASCE.
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Received: Jun 9, 2008
Accepted: Nov 19, 2008
Published online: Jul 15, 2009
Published in print: Aug 2009
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