Extreme Daily Rainfall Event Distribution Patterns in Kansas
Publication: Journal of Hydrologic Engineering
Volume 19, Issue 4
Abstract
The Rainfall Frequency Atlas (TP40) was last updated for Kansas in 1961, using weather data from 1911 to 1958. Rainfall information contained in the atlas is the basis for important engineering and hydrologic design decisions in the state. With growing concern about the effects of global climate change and predictions of more extreme weather events, it is necessary to explore rainfall distribution patterns using the most current and complete data available. In this study, extreme rainfall frequency was analyzed using daily precipitation data (1920–2009) from 24 stations in Kansas and 15 stations from adjacent states. The Weibull distribution was used to calculate the precipitation probability distribution frequency at each station. Weather station point data were spatially interpolated using kriging. The overall analysis showed an increase in extreme precipitation events in Kansas with extreme event values tending to increase in magnitude from the northwest to southeast part of the state. Comparing results of the original TP40 analysis to the last of three study periods (1980–2009) showed that approximately 84% of the state had an increase in short-term rainfall event magnitudes. Long-term event magnitudes were predicted to be less than those reported earlier, but have increased over time, most likely because of the short data period used to calculate the TP40 precipitation probability distribution frequency. Results show a shift in rainfall distribution patterns in Kansas across both time and space. This shift changes the design criteria for water management systems, both in runoff control and storage structures.
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Acknowledgments
This material is based upon work supported by the National Science Foundation under Award No. EPS-0903806 and matching support from the State of Kansas through Kansas Technology Enterprise Corporation. This is contribution number 12-434-J from the Kansas Agricultural Experiment Station.
References
Bedient, P. B., and Huber, W. C. (2002). Hydrology and floodplain analysis, Addison-Wesley, New York.
Beirlant, J., Goegebeur, Y., Segers, J., Teugels, J., Waal, D., and Ferro, C. (2004). Statistics of extremes: Theory and applications, Wiley, Chichester, England.
Bonnin, G. M., Martin, D., Lin, B., Parzybok, T., Yekta, M., and Riley, D. (2006). “Precipitation-frequency atlas of the United States.” NOAA Atlas 14, National Oceanic and Atmospheric Administration (NOAA), Silver Spring, MD, 〈http://hdsc.nws.noaa.gov/hdsc/pfds/〉.
Chiles, J. P., and Delfiner, P. (2012). Geostatistics: Modeling spatial uncertainty, Wiley, New York.
Cuevas, S. C. (2011). “Climate change, vulnerability, and risk linkages.” Int. J. Clim. Change Strategies Manage., 3(1), 29–60.
Faiers, G. E., Keim, B. D., and Muller, R. A. (1997). “Rainfall frequency/magnitude atlas for the south-central United States.” SRCC Technical Rep. 97-1, Geoscience, Baton Rouge, LA.
Frederick, R. H., Myers, V. A., and Auciello, E. P. (1977). “Five- to 60-minute precipitation frequency for the eastern and central United States.” NOAA Technical Memorandum NWS HYDRO-35, U.S. Dept. of Commerce, Silver Spring, MD.
Goodin, D. G., Mitchell, J. E., Knapp, M. C., and Bivens, R. E. (1995). “Climate and weather atlas of Kansas: An introduction.” Educational Series 12, Kansas Geological Survey, Lawrence, KS.
Haktanir, T., Cobaner, M., and Kisi, O. (2010). “Frequency analyses of annual extreme rainfall series from 5 min to 24 h.” Hydrol. Process., 24(24), 3574–3588.
Hershfield, D. M. (1961). “Rainfall frequency atlas of the United States: For durations from 30 minutes to 24 hours and return periods from 1 to 100 years.” Weather Bureau Technical Paper 40, U.S. Dept. of Commerce, National Technical Information Service, Springfield, VA.
Houghton, J. T., et al. (2001). Climate change 2001: The scientific basis, Cambridge University Press, Cambridge, U.K.
Huff, F. A., and Angel, J. R. (1989). “Frequency distributions and hydroclimatic characteristics of heavy rainstorms in Illinois.” Bulletin 70, Illinois State Water Survey, Champaign, IL.
Huff, F. A., and Angel, J. R. (1992). “Rainfall frequency atlas of the midwest.” Bulletin 71, Illinois State Water Survey, Champaign, IL.
Huff, F. A., and Changnon, S. A. (1987). “Temporal changes in design rainfall frequencies in Illinois.” Clim. Change, 10(2), 195–200.
Huffman, R. L., Fangmeier, D. D., Elliot, W. J., Workman, S. R., and Schwab, G. O. (2011). “Precipitation.” Soil and water conservation engineering, 6th Ed., American Society of Agricultural and Biological Engineers, St. Joseph, MI, 31–54.
Hutchinson, M. F. (1989). “A new procedure for gridding elevation and stream line data with automatic removal of spurious pits.” J. Hydrol., 106(3–4), 211–232.
Kelly, V. R., Weathers, K. C., Lovett, G. M., and Likens, G. E. (2009). “Effect of climate change between 1984 and 2007 on precipitation chemistry at a site in northeastern USA.” Environ. Sci. Technol., 43(10), 3461–3466.
Kyoung, M., Kim, H., Sivakumar, B., Singh, V., and Ahn, K. (2011). “Dynamic characteristics of monthly rainfall in the Korean Peninsula under climate change.” Stochastic Environ. Res. Risk Assess., 25(4), 613–625.
Langbein, W. B. (1949). “Annual floods and the partial-duration flood series.” Trans., Am. Geophys. Union, 30(6), 879–881.
Lucero, O. A. (1998). “Invariance of the design storm in a region under a rainfall climate change at mid-latitudes.” Atmos. Res., 49(1), 11–20.
Mehrotra, R., and Sharma, A. (2011). “Impact of atmospheric moisture in a rainfall downscaling framework for catchment-scale climate change impact assessment.” Int. J. Climatol., 31(3), 431–450.
Miller, J. F. (1964). “Two-to ten-day precipitation for return periods of 2 to 100 years in the contiguous United States.” Technical Paper No. 49, Weather Bureau, U.S. Dept. of Commerce, Washington, DC.
Ngongondo, C., Xu, C., Tallaksen, L., Alemaw, B., and Chirwa, T. (2011). “Regional frequency analysis of rainfall extremes in southern Malawi using the index rainfall and L-moments approaches.” Stochastic Environ. Res. Risk Assess., 25(7), 939–955.
Picard, R. R., and Cook, R. D. (1984). “Cross-validation of regression models.” J. Am. Stat. Assoc., 79(387), 575–583.
Rao, A. R., and Hamed, K. H. (2000). Flood frequency analysis, CRC, Boca Raton, FL.
Reeve, D. (1996). “Estimation of extreme Indian monsoon rainfall.” Int. J. Climatol., 16(1), 105–112.
Rinne, H. (2009). “Definition and properties of the Weibull distribution.” The Weibull distribution: A handbook, Chapman & Hall/CRC, Boca Raton, FL, 26–97.
Rodda, J. C., Little, M. A., Rodda, H. J. E., and McSharry, P. E. (2010). “A comparative study of the magnitude, frequency and distribution of intense rainfall in the United Kingdom.” Int. J. Climatol., 30(12), 1776–1783.
Schönwiese, C., Grieser, J., and Trömel, S. (2003). “Secular change of extreme monthly precipitation in Europe.” Theor. Appl. Climatol., 75(3–4), 245–250.
Serrano, S. E. (1997). Hydrology for engineers, geologists, and environmental professionals: An integrated treatment of surface, subsurface, and contaminant hydrology, HydroScience, Ambler, PA.
Singh, V. P., Jain, S. K., and Tyagi, A. K. (2007). “Risk and reliability analysis: A handbook for civil and environmental engineers.” ASCE, Reston, VA.
Snee, R. D. (1977). “Validation of regression models: Methods and examples.” Technometrics, 19(4), 415–428.
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, Lansing, MI.
Van den Brink, H., and Können, G. (2011). “Estimating 10000-year return values from short time series.” Int. J. Climatol., 31(1), 115–126.
Villarini, G., Smith, J. A., Baeck, M. L., Vitolo, R., Stephenson, D. B., and Krajewski, W. F. (2011). “On the frequency of heavy rainfall for the midwest of the United States.” J. Hydrol., 400(1–2), 103–120.
Waters, D., Watt, W. E., Marsalek, J., and Anderson, B. C. (2003). “Adaptation of a storm drainage system to accommodate increased rainfall resulting from climate change.” J. Environ. Plann. Manage., 46(5), 755–770.
Weibull, W. A. (1951). “A statistical distribution function of wide applicability.” J. Appl. Mech., 18(3), 292–297.
Wilson, P., and Toumi, R. (2005). “A fundamental probability distribution for heavy rainfall.” Geophys. Res. Lett., 32(14), 1–4.
World Meteorological Organization (WMO). (1989). “Calculation of monthly and annual 30-year standard normals.” WCDP 10, WMO-TD 341, Geneva, Switzerland.
Yang, T., et al. (2010). “Regional frequency analysis and spatio-temporal pattern characterization of rainfall extremes in the Pearl River Basin, China.” J. Hydrol., 380(3–4), 386–405.
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Information
Published In
Journal of Hydrologic Engineering
Volume 19 • Issue 4 • April 2014
Pages: 707 - 716
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Aug 22, 2012
Accepted: May 3, 2013
Published online: May 6, 2013
Discussion open until: Oct 6, 2013
Published in print: Apr 1, 2014
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