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Jan 1, 2002

Approach to Confidence Interval Estimation for Curve Numbers

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Publication: Journal of Hydrologic Engineering
Volume 7, Issue 1

Abstract

The runoff curve number (CN) is a widely used input to hydrologic designs. It is treated as a constant even though it is a random variable. The antecedent moisture condition CN adjustment is the only interval estimate available, but it is of questionable origin and not recommended for use. A general method is provided herein for developing confidence intervals for CNs. The procedure is illustrated for curve numbers to be used for designs reflecting annual maximum design storms. The quantity 100-CN was found to fit the gamma distribution, which was used to develop confidence intervals for CNs from 65 to 95. The confidence intervals can be used to assess the variation in CN. A hypothetical case is used to demonstrate the variation in the design of a detention basin due to variation in table CNs. Confidence intervals are also provided for the retention parameter, S.

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References

Bondelid, T. R., McCuen, R. H., and Jackson, T. J.(1982). “Sensitivity of SCS models to curve number variation.” Water Resour. Bull., 18(1), 111–116.
Hawkins, R. H.(1973). “Improved prediction of storm runoff in mountain watersheds.” J. Irrig. Drain Eng., 99(4), 519–523.
Hawkins, R. H.(1978). “Runoff curve numbers with varying site moisture.” J. Irrig. Drain Eng., 104(4), 389–398.
Hawkins, R. H., Hjelmfelt, A. T., and Zevenbergen, A. W.(1985). “Runoff probability Storm Depth, and Curve Numbers.” J. Irrig. Drain Eng., 111(4), 330–340.
Hjelmfelt, A. T., Jr., Kramer, L. A., and Burwell, R. E. (1982). “Curve numbers as random variables.” Proc. Int. Symposium on Rainfall-Runoff Modeling, Water Resources Publishers, Littleton, Colo., 365–373.
Interagency Advisory Committee on Water Data (IACWD) (1982). “Guidelines for determining flood flow frequency.” Bulletin 17B, USDI-GS,” Reston, Va.
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McCuen, R. H., and Snyder, W. M. (1986). Hydrologic modeling, Prentice-Hall, Englewood Cliffs, N.J.
Natural Resources Conservation Service (NRCS). (1984) “Computer program for project formulation-hydrology.” Tech. Release No. 20,” Washington, D.C.
Natural Resources Conservation Service (NRCS). (1986). “Urban hydrology for small watersheds.” Technical Release 55, Washington, D.C.
Rallison, R. E., and Cronshey, R. C.(1979). “Discussion of ‘runoff curve number with varying site moisture,’ by Richard H. Hawkins.” J. Irrig. Drain. Eng., 105(IR4), 439–441.
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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 7Issue 1January 2002
Pages: 43 - 48

History

Received: Apr 22, 1999
Accepted: Jun 5, 2001
Published online: Jan 1, 2002
Published in print: Jan 2002

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Authors

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Richard H. McCuen
Professor, Dept. of Civil and Environmental Engineering, Univ. of Maryland, College Park, MD 20742-3021.

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