Essential Considerations in Applying the Curve-Number Method
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VIEW CORRECTIONPublication: Journal of Irrigation and Drainage Engineering
Volume 148, Issue 2
Abstract
The curve-number method is reviewed and assessed using rainfall and runoff measurements at 80 well-instrumented experimental watersheds in the United States. Key results of the study show that the applicable curve number (CN) in design applications is not always independent of the rainfall amount, the uncertainty factors associated with CN can vary between watersheds, CN dependence on both rainfall duration and rainfall amount is detected for some catchments, and the characteristic infiltration rate of a catchment can be expressed as a function of CN. When the curve-number equation is used in estimating the runoff hydrograph, it is shown that implicit infiltration rates can sometimes exceed the realistic infiltration capacity of the catchment, and that not representing CN as a function of the rainfall amount can lead to substantial underestimation of the peak-runoff rate.
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Data Availability Statement
Some or all data, models, or code used during the study were provided by a third party. Direct requests for these materials may be made to the provider as indicated in the Acknowledgments.
Acknowledgments
Rainfall and runoff data provided by US Department of Agriculture Agricultural Research Service (ARS) Water Database (https://data.nal.usda.gov/dataset/ars-water-database).
References
Boughton, W. 2021. “Partitioning daily streamflows for curve numbers calibrations.” J. Irrig. Drain. Eng. 147 (10): 06021009. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001604.
Chin, D. 2021. Water-resources engineering. 4th ed. Upper Saddle River, NJ: Pearson.
Dripchak, M. 1992. “Associative relationships between moments of rainstorms and the corresponding hydrographs.” Master’s thesis, School of Renewable and Natural Resources, Univ. of Arizona Tucson.
Dripchak, M., and R. Hawkins. 1992. GetPQ manual. Tucson, AZ: Watershed Resources Program, School of Renewable Natural Resources, Univ. of Arizona.
Folmar, N., and A. Miller. 2008. “Development of an empirical lag time equation.” J. Irrig. Drain. Eng. 134 (4): 501–506. https://doi.org/10.1061/(ASCE)0733-9437(2008)134:4(501).
Folmar, N., A. Miller, and D. Woodward. 2007. “History and development of the NRCS lag time equation.” J. Am. Water Resour. Assoc. 43 (3): 829–838. https://doi.org/10.1111/j.1752-1688.2007.00066.x.
Hawkins, R. 1990. “Asymptotic determination of curve numbers from rainfall-runoff data.” In Proc., Symp. Watershed Planning and Analysis in Action, 67–76. New York: ASCE.
Hawkins, R., A. Hjelmfelt, and A. Zevenbergen. 1985. “Runoff probability, storm depth, and curve numbers.” J. Irrig. Drain. Div. 111 (4): 330–340. https://doi.org/10.1061/(ASCE)0733-9437(1985)111:4(330).
Hawkins, R., G. Moglen, T. Ward, and D. Woodward. 2020. “Updating the curve number: Task group report.” In Proc., Watershed Management 2020, edited by R. La Plante and J. Ramirez-Avila, 131–140. Reston, VA: ASCE.
Hawkins, R., and T. Ward. 2012. “Expected value of event runoff with curve number theory.” In Proc., World Environmental and Water Resources Congress. Reston, VA: ASCE.
Hawkins, R., T. Ward, D. Woodward, and J. V. Mullem. 2010. “Continuing evolution of rainfall-runoff and the curve number precedent.” In Proc., 2nd Joint Federal Interagency Conf. Edmond, OK: MedCrave Group.
Hewlett, J., and A. Hibbert. 1967. “Factors affecting the response of small watersheds to precipitation in humid areas.” In Forest hydrology, edited by W. Sopper and H. Lull, 275–290. New York: Pergamon.
Hjelmfelt, A. 1980. “An empirical investigation of the curve number technique.” J. Hydraul. Div. 106 (9): 1471–1476. https://doi.org/10.1061/JYCEAJ.0005506.
Hjelmfelt, A., Jr. 1991. “Investigation of curve number procedure.” J. Hydraul. Eng. 117 (6): 725–737. https://doi.org/10.1061/(ASCE)0733-9429(1991)117:6(725).
Hjelmfelt, A., Jr., L. Kramer, and R. Burwell. 1982. “Curve numbers as random variables.” In Proc., Int. Symp. on Rainfall-Runoff Modeling, 365–373. Littleton, CO: Water Resources Publications.
Hoeft, C. 2016. NRCS runoff curve number hydrology: Development, status, and updates. Washington DC: National Hydraulic Engineer, USDA-Natural Resources Conservation Service.
Jiang, R. 2001. “Investigation of runoff curve number initial abstraction ratio.” Master’s thesis, School of Renewable and Natural Resources, Univ. of Arizona.
Lilliefors, H. 1967. “On the Kolmogorov-Smirnov test for normality with mean and variance unknown.” J. Am. Stat. Assoc. 62 (318): 399–402. https://doi.org/10.1080/01621459.1967.10482916.
McCuen, R. 2002. “Approach to confidence interval estimation for curve numbers.” J. Hydrol. Eng. 7 (1): 43–48. https://doi.org/10.1061/(ASCE)1084-0699(2002)7:1(43).
McCuen, R., S. Wong, and W. Rawls. 1984. “Estimating urban time of concentration.” J. Hydraul. Eng. 110 (7): 887–904. https://doi.org/10.1061/(ASCE)0733-9429(1984)110:7(887).
Meadows, M. 2016. “Adjusting NRCS curve number for rainfall durations less than 24 hours.” J. South C. Water Resour. 3 (1): 43–47. https://doi.org/10.34068/JSCWR.03.05.
NRCS (Natural Resources Conservation Service). 2004 “Estimation of direct runoff from storm rainfall.” Chap. 10 in NRCS national engineering handbook, Part 630: Hydrology. Washington, DC: USDA, NRCS.
NRCS (Natural Resources Conservation Service). 2007. “Hydrographs.” Chap. 16 in NRCS national engineering handbook, Part 630: Hydrology. Washington, DC: USDA, NRCS.
NRCS (Natural Resources Conservation Service). 2010. “Time of concentration.” Chap. 15 in NRCS national engineering handbook, Part 630: Hydrology. Washington, DC: USDA, NRCS.
NRCS (Natural Resources Conservation Service). 2017. “Storm rainfall depth and distribution.” Chap. 4 in NRCS national engineering handbook, Part 630: Hydrology. Washington, DC: USDA, NRCS.
Rutkowska, A., S. Kohnová, K. Banasik, J. Szolgay, and B. Karabová. 2015. “Probabilistic properties of a curve number: A case study for small Polish and Slovak Carpathian Basins.” J. Mountain Sci. 12 (3): 533–548. https://doi.org/10.1007/s11629-014-3123-0.
SFWMD (South Florida Water Management District). 2014. Environmental resource permit information manual. West Palm Beach, FL: SFWMD.
Simas, M. 1996. “Lag-time characteristics in small watersheds in the United States.” Ph.D. thesis, School of Renewable Natural Resources, Univ. of Arizona.
USDA. 1963. National engineering handbook, section 4, hydrology. Washington, DC: US Government Printing Office, USDA.
USDA ARS (USDA Agricultural Research Service). 2020. ARS water database. Washington, DC: USDA ARS.
Weisberg, S. 2005. Applied linear regression. Hoboken, NJ: Wiley.
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Journal of Irrigation and Drainage Engineering
Volume 148 • Issue 2 • February 2022
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Jan 20, 2021
Accepted: Oct 10, 2021
Published online: Dec 8, 2021
Published in print: Feb 1, 2022
Discussion open until: May 8, 2022
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