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First published January 2000

Estimation of Time of Concentration for Maryland Streams

Abstract

The time of concentration (TC) is an important input to most hydrologic models and is usually estimated by travel-time computations or by using rainfall-runoff data. Average TCs were determined for 78 rural and urban watersheds in Maryland and related to watershed characteristics using regression analysis. The regression equation is based on the channel length and slope; the percentage of the watershed covered with forests, lakes, and ponds; and the percentage of the watershed with impervious areas. The equation is applicable for estimating TCs for rural and urban watersheds in Maryland with watershed characteristics similar to the gauging station data. TC values computed at Maryland gauging stations were compared with estimates from an equation developed by Kirpich and the Soil Conservation Service (SCS) lag equation, and with basin lag times determined by the U.S. Geological Survey (USGS). The average TC values computed in this analysis were about 5 percent higher than the basin lag-time estimates, which is consistent with the USGS’s definition of lag time. TC estimates from the Kirpich or SCS equations were consistently lower than the values computed from gauging station data. The tendency to underestimate TCs is a major reason why hydrologic models often provide conservative estimates of design discharges compared with regional regression equations and gauging station data.

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References

1. TR-20 Project Formulation—Hydrology. Technical Release 20. Soil Conservation Service, U.S. Department of Agriculture, 1983.
2. Urban Hydrology for Small Watershed. Technical Release 55. Soil Conservation Service, U.S. Department of Agriculture, 1986.
3. Dillow J. J. A. Techniques for Simulating Peak-Flow Hydrographs in Maryland. Water Resources Investigation Report 97-4279. U.S. Geological Survey, Reston, Va., 1997.
4. McCallum B. E., and Hotchkiss R. H. Hydrologic and Hydraulic Design of Culverts: Part II. Nebraska Department of Roads, Research Project RES1(0099) P456, Lincoln, Nebr., 1992.
5. Kirpich Z. P. Time of Concentration of Small Agricultural Watersheds. Civil Engineering, Vol. 10, No. 6, 1940.
6. National Engineering Handbook, Section 4, Hydrology. USDA Soil Conservation Service, Washington, D.C., 1972.
7. Estimating Peak Flow Frequencies for Natural Ungauged Watershed—A Proposed Nationwide Test. Hydrology Committee, U.S. Water Resources Council, Washington, D.C., 1981.

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Article first published: January 2000
Issue published: January 2000

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© 2000 National Academy of Sciences.
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Authors

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Wilbert O. Thomas, Jr.
Michael Baker, Jr., Inc., 3601 Eisenhower Avenue, Suite 600, Alexandria, VA 22304
Michele C. Monde
Michael Baker, Jr., Inc., 180 Admiral Cochrane Drive, Suite 210, Annapolis, MD 21401
Stanley R. Davis
Maryland State Highway Administration, 707 North Calvert Street, Baltimore, MD 21202

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This article was published in Transportation Research Record: Journal of the Transportation Research Board.

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