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Nov 1, 2005

Short Duration Rainfall Frequency Analysis in Michigan Using Scale-Invariance Assumptions

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Publication: Journal of Hydrologic Engineering
Volume 10, Issue 6

Abstract

Intensity-duration-frequency (IDF) estimates are important statistical summaries of precipitation records used for hydrologic engineering design. To make use of recent data and modern statistical methods, the IDF estimates for the state of Michigan have been updated using a regional frequency analysis procedure. Since short duration data (less than one hour) are only available in the Detroit metropolitan area, scale-invariance assumptions are used to estimate short-duration IDF values throughout the state. Both simple scaling and multiscaling models are considered, and the simple scaling model is selected for practical purposes. Verification results indicate that the short-duration estimates are consistent with historical observations.

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Acknowledgments

This work was funded in part by MDOT. The authors appreciate the assistance and advice of F. Nurnberger, D. Johnson, G. Link, C. Trefry, D. Nykanen, A. Maclean, M. Mahmoud, and D. Messenger. Computer software provided by J. Hosking and J. Wallis was also very helpful in this analysis.

References

Ayyub, B. M., and McCuen, R. H. (1997). Probability, statistics, & reliability for engineers, CRC Press, Boca Raton, Fla.
Bonnin, G. M., Todd, D., Lin, B., Parzybok, T., Yekta, M., and Riley, D. (2004). Precipitation-frequency atlas of the United States, NOAA Atlas 14, Vol. 2, Version 2, NOAA National Weather Service, Silver Spring, Md.
Burlando, P., and Rosso, R. (1996). “Scaling and multiscaling models of depth-duration-frequency curves for storm precipitation.” J. Hydrol., 187, 45–64.
DeGroot, M. H. (1989). Probability and statistics, 2nd Ed., Addison-Wesley, Reading, Mass.
Frederick, R. H., Meyers, V. A., and Auciello, E. P. (1977). “Five- to 60-minute precipitation frequency for the eastern and central United States.” Hydro-35, NOAA Tech. Memorandum, Silver Spring, Md.
Gupta, V. K., and Waymire, E. (1990). “Multiscaling properties of spatial rainfall and river flow distributions.” J. Geophys. Res., 95(D3), 1999–2009.
Hershfield, D. M. (1961). “Rainfall frequency atlas for the United States for durations from 30 minutes to 24 hours and return periods from 1 to 100 years.” Technical Paper 40, U.S. Weather Bureau, Washington, D.C.
Hirsch, R. M., Helsel, D. R., Cohn, T. A., and Gilroy, E. J. (1993). “Statistical analysis of hydrological data.” Handbook of hydrology, ed. D. R. Maidment, McGraw-Hill, New York.
Hosking, J. R. M. (1990). “ L -moments: Analysis and estimation of distributions using linear combinations of order statistics.” J. R. Stat. Soc. Ser. B. Methodol., 52(1), 105–124.
Hosking, J. R. M., and Wallis, J. R. (1997). Regional frequency analysis: An approach based on L -moments, Cambridge University Press, Cambridge, UK.
Hosking, J. R. M., and Wallis, J. R. (1988). “The effect of intersite dependence on regional flood frequency analysis.” Water Resour. Res., 24(4), 588–600.
Houghton, J. C. (1978). “Birth of a parent: The Wakeby distribution for modeling flood flows.” Water Resour. Res., 14, 1105–1109.
Huff, F. A., and Angel, J. R. (1989). “Frequency distributions and hydroclimatic characteristics of heavy rainstorms in Illinois.” Illinois State Water Survey Bulletin 70, Champaign, Ill.
Huff, F. A., and Angel, J. R. (1992). “Rainfall frequency atlas of the Midwest.” Illinois State Water Survey Bulletin 71, Champaign, Ill.
Huff, F. A., and Neill, J. C. (1959). “Frequency relations for storm rainfall in Illinois.” Illinois State Water Survey Bulletin 46, Urbana, Ill.
Landwehr, J. M., Matalas, N. C., and Wallis, J. R. (1979). “Some comparisons of flood statistics in real and log space.” Water Resour. Res., 15, 983–984.
Lettenmaier, D. P., Wallis, J. R., and Wood, E. F. (1987). “Effect of regional heterogeneity on flood frequency estimation.” Water Resour. Res., 23, 313–323.
Link, G. A. (2000). “Modeling spatial variation in rainfall intensity-duration-frequency estimates.” MS thesis, Dept. of Civil & Environmental Engineering, Michigan Technological Univ., Houghton, Mich.
Loucks, E., Rodgers, C., Potter, K., and Hahn, M. G. (2000). “Rainfall frequency in the southeastern Wisconsin region” Technical Report No. 40, Southeastern Wisconsin Regional Planning Commission, Waukesha, Wis.
Menabde, M., Seed, A., and Pegram, G. (1999). “A simple scaling model for extreme rainfall.” Water Resour. Res., 35(1), 335–339.
Michigan Dep. of Transportation (MDOT). (1996). Road design manual, sections 4.02.04 and 4.02.05, Vol. 3, MDOT Lansing, Mich.
Michigan Dep. of Transportation (MDOT), Tetra Tech MPS. (2003). Michigan Department of Transportation drainage manual, section 3-B, MDOT Lansing, Mich.
Naghettini, M. (2000). “A study of the properties of scale invariance as applied to intensity-duration-frequency relationships of heavy storms.” Proc., ASCE Conf. on Water Resources Engineering and Water Resources Planning and Management (CD-ROM), Reston, Va.,
Sorrell, R. C., and Hamilton, D. A. (1990). “Rainfall frequency for Michigan, 24-hour duration with return periods from 2 to 100 years.” Michigan Dep. of Natural Resources Land and Water Management Division, Lansing, Mich.
Stedinger, J. R., Vogel, R. M., and Foufoula-Georgiou, E. (1993). “Frequency analysis of Extreme events.” Handbook of hydrology, ed. D. R. Maidment, McGraw-Hill, New York.
Trefry, C. M., Watkins Jr., D. W., and Johnson, D. (2005). “Regional rainfall frequency analysis for the state of Michigan.” J. Hydrologic Eng., 10(6), 437–449.
U.S. Weather Bureau. (1955). “Rainfall intensity-duration-frequency curves for selected stations in the United States, Alaska, Hawaiian Islands, and Puerto Rico.” Technical Paper No. 25, U.S. Weather Bureau, Washington D.C.
Watkins Jr., D. W., Link, G. A., and Johnson, D. (2005). “Mapping regional precipitation intensity-duration-frequency estimates.” J. Am. Water Resour. Assoc., 41(1), 157–170.

Information & Authors

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Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 10Issue 6November 2005
Pages: 450 - 457

History

Received: Mar 18, 2004
Accepted: Sep 17, 2004
Published online: Nov 1, 2005
Published in print: Nov 2005

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Authors

Affiliations

Laura A. Gerold [email protected]
Water Resources Engineer, Tetra Tech MPS, 735 W. Wisconsin Ave., Suite 600, Milwaukee, WI 53233. E-mail: [email protected]
David W. Watkins Jr. [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Michigan Technological Univ., 1400 Townsend Dr., Houghton, MI 49931. E-mail: [email protected]

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