A Uniform Technique for Flood Frequency Analysis
Publication: Journal of Water Resources Planning and Management
Volume 111, Issue 3
Abstract
In 1967 the U.S. Water Resources Council (WRC) published Bulletin 15 recommending that a uniform technique be used by all Federal agencies in estimating floodflow frequencies for gaged watersheds. This uniform technique consisted of fitting the logarithms of annual peak discharges to a Pearson Type III distribution using the method of moments. The objective was to adopt a consistent approach for the estimation of floodflow frequencies that could be used in computing average annual flood losses for project evaluation. In addition, a consistent approach was needed for defining equitable flood‐hazard zones as part of the National Flood Insurance Program. In 1976 WRC published Bulletin 17 which extended and updated Bulletin 15 but still recommended the use of the “log‐Pearson Type III” method. Since 1976, two updates of Bulletin 17 (17A and 17B) have been published which clarify or improve on this base method, or do both. This paper gives a brief historical review of the development of these bulletins and the motivation and justification for the adoption of this uniform technique. Special emphasis is given to Bulletin 17B, the current guidelines used by Federal agencies. Specific techniques examined are the development of regional skew, weighting of regional and station skew, the basis for the low‐ and high‐outlier tests, and the basis for the adjustment of frequency curves using historical information.
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References
1.
“A Uniform Technique for Determining Flood Flow Frequencies,” Water Resources Council Bulletin 15, U.S. Water Resources Council, Washington, D.C., 1967.
2.
Beard, L. R., “Probability Estimates Based on Small Normal Distribution Samples,” Journal of Geophysical Research, Vol. 65, No. 7, 1960, pp. 2143–2148.
3.
Beard, L. R., “Statistical Methods in Hydrology,” Civil Works Investigation Project CW‐151, U.S. Army Corps of Engineers, 1962, 1975.
4.
Beard, L. R., “Flood Flow Frequency Techniques,” Technical Report CRWR‐119, Center for Research in Water Resources, The University of Texas at Austin, 1974.
5.
Benson, M. A., “Uniform Flood‐Frequency Estimating Methods for Federal Agencies,” Water Resources Research, Vol. 4, No. 5, Oct., 1968, pp. 891–908.
6.
Box, G. E. P., and Cox, D. R., “An Analysis of Transformation,” Journal of the Royal Statistical Society Service B, Vol. 26, 1964, pp. 211–252.
7.
Cohn, T., and Stedinger, J. R., “The Use of Historical Flood Records in Flood Frequency Analysis,” invited paper presented at the December, 1983, Fall American Geophysical Union meeting held at San Francisco, Calif.
8.
Condie, R., “The Log‐Pearson Type 3 Distribution: The T‐year Event and Its Asymptotic Standard Error by Maximum Likelihood Theory,” Water Resources Research, Vol. 13, No. 6, Dec., 1977, pp. 987–991.
9.
Condie, R., and Lee, K. A., “Flood Frequency Analysis with Historic Information,” Journal of Hydrology, Vol. 58, 1982, pp. 47–61.
10.
Costa, J. E., “Holocene Stratigraphy in Flood‐Frequency Analysis,” Water Resources Research, Vol. 4, No. 4, Aug., 1978, pp. 626–632.
11.
Greenwood, J. A., et al., “Probability Weighted Moments: Definition and Relation to Parameters of Several Distributions Expressable in Inverse Form,” Water Resources Research, Vol. 15, No. 5, Oct., 1979, pp. 1049–1054.
12.
Grubbs, F. E., and Beck, G., “Extension of Sample Sizes and Percentage Points for Significance Tests of Outlying Observations,” Technometrics, Vol. 14, No. 4, 1972, pp. 847–854.
13.
U.S. Water Resources Council, “Guidelines for Determining Flood Flow Frequency,” Water Resources Council Bulletin 17, Washington, D.C., 1976.
14.
U.S. Water Resources Council, “Guidelines for Determining Flood Flow Frequency,” Water Resources Council Bulletin 17A, Washington, D.C., 1977.
15.
U.S. Water Resources Council, “Guidelines for Determining Flood Flow Frequency,” Water Resources Council Bulletin 17B, Washington, D.C., 1981.
16.
Hardison, C. H., “Generalized Skew Coefficients of Annual Floods in the United States and their Application,” Water Resources Research, Vol. 10, No. 5, Oct., 1974, pp. 745–752.
17.
Hirsch, R. M., Scott, A. G., and Wyant T., “Investigation of Trends in Flooding in the Tug Fork Basin of Kentucky, Virginia, and West Virginia,” U.S. Geological Survey Water Supply Paper 2203, 1982.
18.
Houghton, J. C., “The Birth of a Parent: The Wakeby Distribution for Modeling Flood Flows,” Water Resources Research, Vol. 14, No. 4, Aug., 1978, pp. 1105–1109.
19.
Jennings, M. E., and Benson, M. A., “Frequency Curves for Annual Flood Series with Some Zero Events or Incomplete Data,” Water Resources Research, Vol. 5, No. 1, Feb., 1969, pp. 276–280.
20.
Kuczera, G., “Robust Flood Frequency Models,” Water Resources Research, Vol. 18, No. 2, Apr., 1982, pp. 315–324.
21.
Kuczera, G., “A Bayesian Surrogate for Regional Skew in Flood Frequency Analysis,” Water Resources Research, Vol. 19, No. 3, June, 1983, pp. 821–832.
22.
Landwehr, J. M., Matalas, N. C., and Wallis, J. R., “Some Comparisons of Flood Statistics in Real and Log Space,” Water Resources Research, Vol. 14, No. 5, Oct., 1978, pp. 902–920.
23.
Landwehr, J. M., Matalas, N. C., and Wallis, J. R., “Estimation of Parameters and Quantiles of Wakeby Distributions,” Water Resources Research, Vol. 15, No. 6, Dec., 1979, pp. 1361–1381.
24.
Leese, M. N., “The Use of Censored Data in Estimation of Gumbel Distribution Parameters for Annual Maximum Flood Series,” Water Resources Research, Vol. 9, No. 6, Dec., 1973.
25.
Matalas, N. C., and Wallis, J. R., “Eureka! It Fits a Pearson Type 3 Distribution,” Water Resources Research, Vol. 9, No. 2, Apr., 1973, pp. 281–289.
26.
McCuen, R. H., “Map Skew???,” Journal of Water Resources Planning and Management Division, ASCE, Vol. 105, No. WR7, 1979, pp. 269–277.
27.
“Methods of Flow Frequency Analysis,” Bulletin 13, Interagency Committee on Water Resources, Washington, D.C., 1966.
28.
Rao, D. V., “Log‐Pearson Type 3 Distribution—Method of Mixed Moments,” Journal of the Hydraulics Division, ASCE, Vol. 106, No. HY6, 1980, pp. 999–1019.
29.
Russell, S. O., “Flood Probability Estimation,” Journal of the Hydraulics Division, Vol. 108, No. HY1, 1982, pp. 63–72.
30.
Singh, K. P., “A New Methodology for Flood Frequency Analysis with Objective Detection and Modification of Outliers/Inliers,” Illinois Institute of Natural Resources SWS Contract Report 272, 1981.
31.
Slack, J. R., Wallis, J. R., and matalas, N. C., “Summary of Selected Small‐Sample Statistics,” IBM Research Report RC 8311 (#36173), 1980.
32.
Stedinger, J. R., “Design Events with Specified Flood Risk,” Water Resources Research, Vol. 19, No. 2, Apr., 1983, pp. 511–522.
33.
Stedinger, J. R., “Confidence Intervals for Design Events,” Journal of Hydraulic Division, ASCE, Vol. 109, No. 1, Jan., 1983, pp. 13–27.
34.
Tasker, G. D., “Flood Frequency Analysis with a Generalized Skew Coefficient,” Water Resources Research, Vol. 14, No. 2, Apr., 1978, pp. 373–376.
35.
Thomas, D. M., “Flood Frequency—Expected and Unexpected probabilities,” U.S. Geological Survey Open‐File Report 76–755, 1976.
36.
Tung, Y. K., and Mays, L. W., “Reducing Hydrologic Parameter Uncertainty,” Journal of the Water Resources Planning and Management Division, ASCE, Vol. 107, No. WR1, 1981, pp. 245–262.
Information & Authors
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Published In
Journal of Water Resources Planning and Management
Volume 111 • Issue 3 • July 1985
Pages: 321 - 337
Copyright
Copyright © 1985 ASCE.
History
Published online: Jul 1, 1985
Published in print: Jul 1985
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