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Nov 1, 2005

Regional Rainfall Frequency Analysis for the State of Michigan

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Publication: Journal of Hydrologic Engineering
Volume 10, Issue 6

Abstract

Effective storm water management plans depend on reliable rainfall intensity-duration-frequency (IDF) relationships. Due to the perception of high-intensity rainfall events as occurring more frequently than expected, the Michigan Dept. of Transportation (MDOT) commissioned a study to update rainfall IDF estimates for each of seven durations (1, 2, 3, 6, 12, 18, and 24 h) and six recurrence intervals (2, 5, 10, 25, 50, and 100 years). In contrast to a traditional at-site frequency analysis using method of moments estimators, this study applied a regional frequency analysis approach based on L -moments. Data were compiled from 76 hourly recording stations and 152 daily recording stations, and trend and outlier analyses were conducted on both annual maximum series (AMS) and partial duration series (PDS) data. With the entire state considered a homogeneous region, two regional index flood models were applied: a generalized Pareto distribution fit to PDS data (PDS/GPA model), and a generalized extreme value distribution fit to AMS data (AMS/GEV model). Verification of results indicated that the revised rainfall IDF estimates provide more reliable values than those previously used.

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Acknowledgments

This project was funded by MDOT. Patricia Schriner served as the project manager at MDOT. Fred Nurnberger, former Michigan State Climatologist, was responsible for compiling and processing the rainfall data. Software for the regional L -moment analysis was provided by J. R. M. Hosking and J. R. Wallis. The authors appreciate the assistance and advice of Greg Link, Laura Gerold, Henry Santeford, and David Reed. Comments provided by Geoff Bonnin and one anonymous reviewer also helped to improve this paper. Any remaining errors are solely the authors’ responsibility.

References

Angel, J. R. , and Huff, F. A.  (1997). “Changes in heavy rainfall in midwestern United States.” J. Water Resour. Plan. Manage., 123(4), 246–249.
Bates, B. C. , Rahman, A., Mein, R. G. , and Weinmann, P. E.  (1998). “Climatic and physical factors that influence the homogeneity of regional floods in southeastern Australia.” Water Resour. Res., 34(12), 3369–3381.
Bedient, P. B. , and Huber, W. C.  (1992). Hydrology and floodplain analysis, Addison-Wesley, Reading, Mass.
Dalrymple, T. (1960). “Flood frequency analyses.” Water Supply Paper 1543-A, U.S. Geological Survey, Reston, Va.
DeGroot, M. H.  (1989). Probability and statistics, 2nd Ed., Addison-Wesley, Reading, Mass.
Fovell, R. G. , and Fovell, M.-Y. C. (1993). “Climate zones of the conterminous United States defined using cluster analysis.” J. Clim., 6, 2103–2135.
Frederick, R. H. , Meyers, V. A. , and Auciello, E. P.  (1977). “Five- to 60-minute precipitation frequency for the eastern and central United States.” NOAA Tech. Memorandum Hydro-35, Silver Spring, Md.
Greenwood, J. A. , Landwehr, J. M. , Matalas, N. C. , and Wallis, J. R.  (1979). “Probability weighted moments: Definitions and relation to parameters of several distributions expressible in inverse form.” Water Resour. Res., 15(6), 1049–1054.
Hartigan, J. A.  and Wong, M. A.  (1979). “Algorithm AS 136: A K -means clustering algorithm.” Appl. Stat., 28, 100–108.
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.  (1987). “Parameter and quantile estimation for the generalized Pareto distribution.” Technometrics, 29(3) 339–349.
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.
Hosking, J. R. M. , and Wallis, J. R.  (1996). “The U.S. national electronic drought atlas: Statistical data analysis with GIS-based presentation of results.” Research Report RC-20499, IBM Research Division, T. J. Watson Research Center, Yorktown Heights, New York.
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. , Wallis, J. R. , and Wood, E. F.  (1985). “Estimation of the generalized-extreme value distribution by the method of probability-weighted moments.” Technometrics, 27(3), 251–261.
Huff, F. A.  (1975). “Urban effects on the distribution of heavy convective rainfall.” Water Resour. Res., 11(6), 889–896.
Huff, F. A. , and Angel, J. R.  (1992). “Rainfall frequency atlas of the Midwest.” Illinois State Water Survey Bulletin 71, Champaign, Ill.
Interagency Advisory Committee on Water Data. (1982). “Guidelines for developing flood flow frequency.” Bulletin 17B, U.S. Department of the Interior, U.S. Geological Survey, Office of Water Data Coordination, Reston, Va.
Julian, L. T. , Lin, B., Daniel, J. M. , Davila, T., Gillete, S. M.  and Yekta, M. (1998). “Ohio River basin precipitation frequency study.” Update of Technical Paper 40, Second Progress Report, Office of Hydrology, U.S. National Weather Service, Silver Spring, Md.
Julian, L. T. , Lin, B., Daniel, J. M.  and Yetka, M. (1999). “Ohio River Basin precipitation frequency study.” Update of Technical Paper 40, Third Progress Report. Office of Hydrology, U.S. National Weather Service, Silver Spring, Md.
Klemeš, V. (2000). “Tall tales about tails of hydrological distributions: Part II.” J. Hydrologic Eng., 5(3) 232–239.
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 and 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 Number 40, Southeastern Wisconsin Regional Planning Commission, Waukesha, Wis.
Madsen, H., Mikkelsen, C. P. , Rosbjerg, D. and Harremoes, P. (1998). “Estimation of regional intensity-duration-frequency curves for extreme precipitation.” Water Sci. Technol., 37(11), pp. 29–36.
Madsen, H., Pearson, C. P. , and Rosbjerg, D. (1997). “Comparison of annual maximum series and partial duration series methods for modeling extreme hydrologic events, 2. Regional modeling.” Water Resour. Res., 33(4), pp. 759–769.
Madsen, H., and Rosbjerg, D. (1997). “The partial duration series method in regional index-flood modeling.” Water Resour. Res., 33(4), 737–746.
Michigan Dept. of Transportation (MDOT). (1996). Road design manual, Sections 4.02.04 and 4.02.05, Vol. 3, MDOT, Lansing, Mich.
Potter, K. W. , and Lettenmaier, D. P.  (1990). “A comparison of regional flood frequency estimation methods using a resampling method.” Water Resour. Res., 26, 415–424.
Salas, J. D.  (1993). “Analysis and modeling of hydrologic time series.” Handbook of hydrology, ed. D. R.  Maidment, McGraw-Hill, New York.
Schaefer, M. G.  (1990). “Regional analyses of precipitation annual maxima in Washington state.” Water Resour. Res., 26(1), 119–131.
Sorrell, R. C. , and Hamilton, D. A.  (1990). “Rainfall frequency for Michigan, 24-hour duration with return periods from 2 to 100 years.” Michigan Dept. of Natural Resources Land and Water Management Division, MDOT, 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.
Sveinsson, O. G. B.  Salas, J. D. , and Boes, D. C.  (2002). “Regional frequency analysis of extreme precipitation in northeastern Colorado and Fort Collins flood of 1997.” J. Hydrologic Eng., 7(1), 49–63.
Tavares, L. V. , and Da Silva, J. E.  (1983). “Partial duration series revisited.” J. Hydrol., 64, 1–14.
Trefry, C. M. (2000). “Development of regional rainfall intensity-duration-frequency estimates for the state of Michigan.” MS thesis, Dept. of Civil and Environmental Engineering, Michigan Technological Univ., Houghton, Mich.
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 25, U.S. Weather Bureau, Washington D.C.
Watkins, D. W. Jr., Link, G. A., and Johnson, D. L. (2005). “Mapping regional precipitation intensity-duration-frequency estimates.” J. Am. Water Resour. Assoc., 41(1), 157–170.
Young, C. B. , and McEnroe, B. M. (2003). “Sampling adjustment factors for rainfall recorded at fixed time intervals.” J. Hydrologic Eng., 8(5), 294–296.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 10Issue 6November 2005
Pages: 437 - 449

History

Received: Jul 14, 2003
Accepted: Dec 20, 2004
Published online: Nov 1, 2005
Published in print: Nov 2005

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Authors

Affiliations

Christopher M. Trefry [email protected]
Hydraulic Engineer, U.S. Army Corps of Engineers, P.O. Box 2004, Rock Island, IL 61204. E-mail: [email protected] (formerly, Graduate Student, Michigan Technological Univ.)
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]
Dennis Johnson [email protected]
Associate Professor, Dept. of Environmental Science and Studies, Juniata College, 1700 Moore St., Juniata, PA 16652. E-mail: [email protected]

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