Regional Flood Estimations in Red River Using -Moment-Based Index-Flood and Bulletin 17B Procedures
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Volume 14, Issue 9
Abstract
-moment-based index-flood method (LMIF) is used in a regional flood frequency analysis of the Red River of the North basin. The results are appraised with respect to the traditional methods based on the 1982 Interagency Advisory Committee on Water Data (Bulletin 17B) procedure. The -moments approach detects the necessity of subdividing the basin into three main homogeneous hydrologic regions through hierarchical clustering techniques, regionalization, distribution fittings, and simulations. Each region has a unique index-flood growth curve. The dominant distributions include the Pearson Type III, the generalized Pareto, and the generalized extreme value. For a certain number of gauged sites, the quantiles obtained by the LMIF differ significantly from those obtained by pursuing the Bulletin 17B-regression procedures. Generally, the latter gives lower quantiles for most sites. Overall, the LMIF is effective in identifying homogeneous regions, coherent in statistical distribution fitting, and free from state boundary issues. The investigation also illustrates the flexibility of the method in allowing flood estimations for a special regulated region and a main stem region. Further studies on the use of the LMIF on a national or global scale are recommended.
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Acknowledgments
The research was partially funded by the Waffle Project, Environmental Energy, and Environmental Research Center, University of North Dakota, Grand Forks, N.D.
References
Adamowski, K. (2000). “Regional analysis of annual maximum and partial duration flood data by nonparametric and -moment methods.” J. Hydrol., 229(3–4), 219–231.
Ashkar, F., and Quarda, T. B. M. J. (1996). “On some methods of fitting the generalized Pareto distribution.” J. Hydrol., 177, 117–141.
Bedient, P. B., Huber, W. C., and Vieux, B. E. (2008). Hydrology and floodplain analysis, 4th Ed., Prentice-Hall, Upper Saddle River, N.J.
Bolles, B. A., et al. (2003). “An innovative, basinwide approach to flood mitigation: The waffle project.” Proc., 1st Int. Water Conf., Moorhead, Minn., International Water Institute, Fargo, N.D.
Brath, A., Castellarin, A., Franchini, M., and Galeati, G. (2001). “Estimating the index flood using indirect methods.” Hydrol. Sci. J., 46(3), 399–418.
Burn, D. H., and Goel, N. K. (2000). “The formation of groups for regional flood frequency analysis.” Hydrol. Sci. J., 45(1), 97–112.
Cunderlik, J. M., and Burn, D. H. (2002). “The use of flood regime information in regional flood frequency analysis.” Hydrol. Sci. J., 47(1), 77–92.
Dalrymple, T. (1960). “Flood frequency analysis.” Manual of Hydrology: Part 3. Flood-Flow Techniques, Geological Survey Water Supply Paper 1543-A, U.S. Government Printing Office, Washington, D.C.
Daviau, J. -L., Adamowski, K., and Patry, G. G. (2000). “Regional flood frequency analysis using GIS, -moment and geostatistical methods.” Hydrolog. Process., 14(15), 2731–2753.
Dawson, C. W., Abrahart, R. J., Shamseldin, A. Y., and Wilby, R. L. (2006). “Flood estimation at ungaged sites using artifical neural networks.” J. Hydrol., 319(1–4), 391–409.
Feaster, T. D., and Tasker, G. D. (2002). “Techniques for estimating the magnitude and frequency of floods in rural basins of South Carolina, 1999.” Water Resources Investigations Rep. No. 02-4140, USGS, Columbia, S.C.
Fill, H. D., and Stedinger, J. R. (1998). “Using regional regression within index flood procedure and an empirical Bayesian estimator.” J. Hydrol., 210, 128–145.
Flynn, K. M., Kirby, W. H., and Hummel, P. R. (2006). “Users’ manual for PeakFQ, annual flood frequency analysis using Bulletin 17B Guidelines.” Techniques and methods report book 4, Chap. B4, U.S. Geological Survey, Reston, Va., 1–42.
Gingras, D., Adamowski, K., and Pilon, P. J. (1994). “Regional flood equations for the provinces of Ontario and Quebec.” Water Resour. Bull., 30, 55–67.
Glaves, R., and Waylen, P. R. (1997). “Regional flood frequency analysis in southern Ontario using -moments.” Can. Geographer, 41, 178–193.
Griffis, V. W., and Stedinger, J. R. (2007a). “Evolution of flood frequency analysis with Bulletin 17.” J. Hydrol. Eng., 12(3), 283–297.
Griffis, V. W., and Stedinger, J. R. (2007b). “Log-Pearson Type 3 distribution and its application in flood frequency analysis. I: Distribution characteristics.” J. Hydrol. Eng., 12(5), 482–491.
Griffis, V. W., and Stedinger, J. R. (2007c). “The use of GLS regression in regional hydrologic analyses.” J. Hydrol., 344, 82–95.
Hosking, J. R. M. (1990). “ -moments—Analysis and estimation of distributions using linear combinations of order statistics.” J. R. Stat. Soc. Ser. B (Methodol.), 52(1), 105–124.
Hosking, J. R. M. (1994). “The four-parameter kappa distribution.” IBM J. Res. Dev., 38(3), 251–258.
Hosking, J. R. M. (2000). “Fortan routines for use with the method of -moments, Version 3.03.” IBM Research Rep. No. RC20525 (90933), IBM Research Division, Yorktown Heights, N.Y.
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 -moment, Cambridge University Press, Cambridge, U.K.
Interagency Advisory Committee on Water Data. (1982). “Guidelines for determining flood flow frequency.” Bulletin #17B of the Hydrology Subcommittee, Office of Water Data Coordination, U.S. Geological Survey, Reston, Va.
Jacques, J. E., and Lorenz, D. L. (1988). “Techniques for estimating the magnitude and frequency of floods in Minnesota.” Rep. No. 87-4170, Water-Resources Investigations, U.S. Geological Survey, Mounds View, Minn.
Jennings, M. E., Thomas, W. O., Jr., and Riggs, H. C. (1994). “Nationwide summary of U.S. Geological Survey regression equations for estimating magnitude and frequency of floods for ungauged sites.” Rep. No. 94-4002, Water-Resources Investigations, U.S. Geological Survey, Reston, Va.
Jingyi, Z., and Hall, M. J. (2004). “Regional flood frequency analysis for the Gan-Ming River basin in China.” J. Hydrol., 296(1–4), 98–117.
Kachroo, R. K., Mkhandi, S. H., and Parida, B. P. (2000). “Flood frequency analysis of southern Africa. I: Delineation of homogeneous regions.” Hydrol. Sci. J., 45, 437–447.
Kalkstein, L. S., Tan, G., and Skindlov, J. A. (1987). “An evaluation of three clustering procedures for use in synoptical climatological classification.” J. Clim. Appl. Meteorol., 26, 717–730.
Kjeldsen, T. R., Smithers, J. C., and Schulze, R. E. (2002). “Regional flood frequency analysis in the KwaZulu-Natal province, South Africa, using the index-flood method.” J. Hydrol., 255, 194–211.
Kumar, R., and Chatterjee, C. (2005). “Regional flood frequency analysis using L-Moments for north Brahmaputra region of India.” J. Hydrol. Eng., 10(1), 1–7.
Kumar, R., Singh, R. D., and Seth, S. M. (1999). “Regional flood formulas for seven subzones of Zone 3 of India.” J. Hydrol. Eng., 4(3), 240–244.
Lamb, R. (1999). “Calibration of a conceptual rainfall-runoff model for flood frequency estimation by continuous simulation.” Water Resour. Res., 35(10), 3103–3114.
Lim, Y. H., and Lye, L. M. (2003). “Regional flood estimation for ungauged basins in Sarawak, Malaysia.” Hydrol. Sci. J., 48(1), 79–94.
Lorenz, D. L. (1997). “Generalized skew coefficients for flood-frequency analysis in Minnesota.” Rep. No. 97-4089, Water-Resources Investigations, U.S. Geological Survey, Mounds View, Minn.
Lorenz, D. L., Carlson, G. H., and Sanocki, C. A. (1997). “Techniques for Estimating Peak Flow on Small Streams in Minnesota.” Rep. No. 97-4249, U.S. Geological Survey Water-Resources Investigations, U.S. Geological Survey, Mounds View, Minn.
Pandey, G. R., and Nguyen, V. -T.-V. (1999). “A comparative study of regression based methods in regional flood frequency analysis.” J. Hydrol., 225, 92–101.
Pearson, C. P. (1991). “New Zealand regional flood frequency analysis using moments.” J. Hydrol. N.Z., 30, 53–64.
Peel, M. C., Wang, Q. J., Vogel, R. M., and McMahon, T. A. (2001). “The utility of -moment ratio diagrams for selecting a regional probability distribution.” Hydrol. Sci. J., 46(1), 147–155.
Pfister, L., Iffly, J. -F., and Hoffmann, L. (2002). “Use of regionalized stormflow coefficients with a view to hydroclimatological hazard mapping.” Hydrol. Sci. J., 47(3), 479–491.
Rao, A. R., and Hamed, K. H. (1994). “Frequency analysis of Upper Cauvery flood data by -moments.” Water Resour. Manage., 8, 183–201.
Robson, A. J., and Reed, D. W. (1999). “Statistical procedures for flood frequency estimation.” Flood estimation handbook, Vol. 3, Institute of Hydrology, Wallingford, U.K.
Singh, V. P., and Deng, Z. Q. (2003). “Entropy-based parameter estimation for kappa distribution.” J. Hydrol. Eng., 8(2), 81–92.
Stedinger, J. R., and Griffis, V. W. (2008). “Flood frequency analysis in the United States: Time to update.” J. Hydrol. Eng., 13(4), 199–204.
Stedinger, J. R., and Lu, L. -H. (1995). “Appraisal of regional and index flood quantile estimators.” Stochastic Hydrol. Hydraul., 9, 49–75.
Stedinger, J. R., Vogel, R. M., and Foufoula-Georgiou, E. (1992). “Frequency analysis of extreme events.” Handbook of hydrology, Chap. 18, D. R. Maidment, ed., McGraw-Hill, New York, 18.1–18.66.
Tasker, G. D., and Stedinger, J. R. (1989). “An operational GLS model for hydrologic regression.” J. Hydrol., 111(1–4), 361–375.
U.S. Army Corps of Engineers. (2007). “Grand Forks, N.D./East Grand Forks, Minn. flood control, Red River of the north.” ⟨http://www.mvp.usace.army.mil/fl_damage_reduct/default.asp?pageid=18⟩ (Feb. 8, 2009).
Vogel, R. M., McMahon, T. A., and Chiew, F. H. S. (1993). “Floodflow frequency model selection in Australia.” J. Hydrol., 146(1–4), 421–449.
Williams-Sether, T. (1992). “Techniques for estimating peak-flow frequency relations for North Dakota.” Rep. No. 92-4020, U.S. Geological Survey Water-Resources Investigations, Bismarck, N.D.
Yue, S., and Wang, C. Y. (2004). “Possible regional probability distribution type of Canadian annual streamflow by -moments.” Water Resour. Manage., 18(5), 425–438.
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Received: May 6, 2008
Accepted: Feb 18, 2009
Published online: Feb 20, 2009
Published in print: Sep 2009
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