Fitting Procedures for the Log‐Boughton Distribution
Publication: Journal of Hydraulic Engineering
Volume 109, Issue 4
Abstract
The paper describes a procedure for direct, optimal fitting of the log‐Boughton frequency distribution to either complete sets or subsets of annual flood data. The analytical basis and derivation of the procedure are given. Annual floods from 65 yr of record on the Santa Cruz River at Tucson, Arizona, are used to show the fitting of the distribution to a complete data set, and annual floods from 24 yr of record on the Walnut Gulch watershed, in southeastern Arizona, are used to show the fitting of the distribution to a subset of data. Substantial differences between the log‐Boughton and log‐Pearson type 3 distributions occur in fitting to the Walnut Gulch data, due mainly to the large negative skew coefficient of this data set. The computer program which fits the log‐Boughton distribution plots the data points on a probability paper which is automatically scaled to linearize the fitted distribution.
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References
1.
Anderson, T. W., and White, N. D., “Statistical Summaries of Arizona Streamflow Data,” U.S. Geological Survey, Tucson, Ariz., Jan., 1979, 420 pp.
2.
Boughton, W. C., “A Study of Queensland Floods,” Symposium on the Frequency of Floods in Queensland, Institution of Engineers, Australia, Queensland Division, Brisbane, Australia, 1975.
3.
Boughton, W. C., “A Frequency Distribution for Annual Floods,” Water Resources Research, Vol. 16, No. 2, Apr., 1980, pp. 347–354.
4.
Cunnane, C., “Unbiased Plotting Positions—A Review,” Journal of Hydrology, Vol. 37, No. 3, 1978, pp. 205–222.
5.
“Guidelines for Determining Flood Flow Frequency,” Water Resources Council, Bulletin 17, Hydrology Committee, Washington, D.C.
6.
Reich, B. M., and Renard, K. G., “Application of Advances in Flood Frequency Analysis,” Water Resources Bulletin, Vol. 17, No. 1, Feb., 1981, pp. 67–74.
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Published In
Journal of Hydraulic Engineering
Volume 109 • Issue 4 • April 1983
Pages: 579 - 589
Copyright
Copyright © 1983 ASCE.
History
Published online: Apr 1, 1983
Published in print: Apr 1983
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