TECHNICAL PAPERS
Jan 1, 1997

Determination of Watershed Curve Number Using Derived Distributions

Publication: Journal of Irrigation and Drainage Engineering
Volume 123, Issue 1

Abstract

Curve numbers (CNs) are developed from measured rainfall (P) and runoff (Q) data, yet there is no standard method for determining CN. The original method of CN determination used maximum annual events. Subsequent development treated measured P and Q data as frequency distributions. In this paper, derived frequency distributions are evaluated as another method for determining watershed CNs from measured data, treating P and Q data as separate frequency distributions. A Monte Carlo simulation showed the derived-distribution method gave fewer variable estimates of CN for a wide range of sample sizes than two other methods for CN estimation. CN estimates using measured data with the derived-distribution method agreed well with CN estimated by the asymptotic method for the watershed types tested. The derived-distribution and asymptotic methods were in agreement, and the other methods gave lower CN estimates for the “violent” watershed type. CN was indeterminate for the derived-distribution and asymptotic methods for “complacent” watersheds. The derived-distribution method has a potential for determining CNs when there are limited P and Q data.

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References

1.
Benjamin, J. R., and Cornell, C. A. (1970). Probability, statistics, and decision for civil engineers. McGraw-Hill Book Co., Inc., New York, N.Y.
2.
Fishman, G. S., and Moore, L. R.(1982). “A statistical evaluation of multiplicative congruential random number generators with modulus 231-1.”J. Am. Statistical Assn., 77(377), 129–136.
3.
Hawkins, R. H.(1981). “Discussion of `Empirical Investigation of Curve Number Technique,' by A. T. Hjelmfelt.”J. Hydr. Div., ASCE, 107(5), 953–954.
4.
Hawkins, R. H., Hjelmfelt, A. T. Jr., and Zevenbergen, A. W.(1985). “Runoff probability, relative storm depth, and runoff curve numbers.”J. Irrig. and Drain. Engrg., ASCE, 111(4), 330–340.
5.
Hawkins, R. H. (1990). “Asymptotic determination of curve numbers from rainfall-runoff data.”Proc., IR Conf., Watershed Plng. and Anal. in Action, ASCE, New York, N.Y.
6.
Hawkins, R. H.(1993). “Asymptotic determination of runoff curve numbers from data.”J. Irrig. and Drain. Engrg., ASCE, 119(2), 334–345.
7.
Hershfield, D. M. (1961). “Rainfall frequency atlas of the United States.”Tech. Paper No. 40, U.S. Weather Bureau, Washington, D.C.
8.
Hjelmfelt, A. T. Jr.(1980). “Empirical investigation of curve number technique.”J. Hydr. Div., ASCE, 106(9), 1471–1476.
9.
Lindgren, B. W. (1962). Statistical theory. The MacMillan Co., New York, N.Y.
10.
Rallison, R. E., and Cronshey, R. C.(1979). “Discussion of `Runoff curve number with varying site moisture,”' J. Irrig. and Drain. Div., ASCE, 105, 439–441.
11.
Rallison, R. E., and Miller, N. (1981). “Past, present, and future SCS runoff procedure.”Proc., Int. Symp. on Rainfall-Runoff Modeling, Mississippi State Univ., Mississippi State, Miss.
12.
Soil Conservation Service (SCS). (1972). “Section 4, hydrology.”National engineering handbook, U.S. Department of Agriculture, Washington, D.C.
13.
Zevenbergen, A. W. (1985). “Runoff curve numbers from Rangeland from Landsat data.”Tech. Rep. HL85-1, U.S. Department of Agriculture-Agricultural Research Service, Hydrology Laboratory, Beltsville, MD.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 123Issue 1January 1997
Pages: 28 - 36

History

Published online: Jan 1, 1997
Published in print: Jan 1997

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Authors

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James V. Bonta, P.E., Member, ASCE
Res. Hydr. Engr., USDA-Agric. Res. Service, North Appalachian Experimental Watershed, P.O. Box 488, Coshocton, OH 43812.

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