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Bivariate Analysis of Concurrent Flooding

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Hydrologic Frequency Modeling
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Abstract

This study investigates the probability of concurrent flooding near and around the confluence of the Meramec ans Mississippi Rivers in Missouri. A new general approach called the “bivariate probability method” was developed as a result of this investigation.

The “bivariate probability method” utilizes the fit of a bivariate probability distribution in order to describe the probability relationship between tributary river flow and main river stage. A backwater program is used for the conversion of the tributary river. The method also the implements the theory of total probability so that all flow/stage combinations which could have created a given stage on the tributary river are accounted for in the probability computations.

An important aspect of the proposed methodology is the applicability to basins which have limited periods of record. This application is accomplished by using relationships developed between the short-term gage and nearby longer-term gage to estimate the parameters required to fit the bivariate probability distribution.

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References

  • Calise, S.J. 1981. The Probability of Concurrent Flooding Using A Bivariate Probability Distribution. Thesis presented to the University of Missouri, at Rolla, Missouri in partial fulfillment of the requirement for the degree of Master of Science.

    Google Scholar 

  • Chow, V.T. (Editor in Chief) 1964. Handbook of Applied Hyfrology — A Compendium of Water-Resources Technology, McGraw-Hill, New York.

    Google Scholar 

  • Chow, I.M. 1959. Open Channel Hydraulics, McGraw-Hill, New York.

    Google Scholar 

  • Copi, I.M. 1979. Introduction to Logic, MacMillan publishing Co., New York.

    Google Scholar 

  • Deckerd, H.L. 1979. An Analysis of Selected Hydraulic Features on the Mississippi and Atchafalaya Rivers in Louisiana. Thesis presented to the University of Missouri, at Rolla, Missouri in partial fulfill-ment of the requirement for the degree of Master of Science.

    Google Scholar 

  • Grigoriu, M. 1979. On the Prediction of Extreme Flows, Proceedings, International Symposium on Risk and Reliability in Water Resources, I, II, June 26–28.

    Google Scholar 

  • Hann, C.T. 1977. Statistical Methods in Hydrology, The IOWA State University Press, Ames, Iowa.

    Google Scholar 

  • Hogg, R.V., Craign, A.T. 1970. Introduction to Mathematical Statistics, MacMillan Company, New York.

    Google Scholar 

  • IMSL Library. 1979. International Mathematical and Statistical Library, Inc. Houston, Taxas.

    Google Scholar 

  • Kendall, M.G. and Stuart, A. 1979. The Advanced Theory of Statastics, Hafner Publishing Company, 3rd ed., III, New York.

    Google Scholar 

  • Mejia, A.J.M. 1971. On the Generation of Multivariate Sequences Exhibiting the Hurst Phenomenon and Some Frequency Analyasis. Thesis presented to Colorado State University, at the Fort Collins, Colorado in partial fulfillment of the requirement for the degree of Doctor of Philosophy

    Google Scholar 

  • Rochberg, R. 1979. Analysis of Flood Damage at the Confluence of Two Rivers. Preliminary report submitted to U.S. Army Corps of Engineers, St. Louis District, Missouri.

    Google Scholar 

  • Siddique, M.M. 1962. Some Statistical Theory for the Analysis of Radio Propagation Data, Journal of Research of the National Bureau of Standards, LXVI, 5.

    Google Scholar 

  • U. S. Army Engineer District, S. Louis, Corps of Engineers. 1970. Stages and Discharges of the Mississippi River and Tributaries in the St. Louis District, p. 24.

    Google Scholar 

  • U. S. Water Resources Council. 1977. Guidelines for Determining Flood Flow Frequency’.

    Google Scholar 

  • Wilson, Llyod C. 1980. The probability of concurrent Flooding on the Meramec and Misssissippi Rivers. Thesis presented to the University of Missouri, at Rolla, Misssouri in partial fulfillment of the requirement for the degree of Master of Science.

    Google Scholar 

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© 1987 D. Reidel Publishing Company

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Morris, C.D., Calise, S.J. (1987). Bivariate Analysis of Concurrent Flooding. In: Singh, V.P. (eds) Hydrologic Frequency Modeling. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3953-0_44

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  • DOI: https://doi.org/10.1007/978-94-009-3953-0_44

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8253-2

  • Online ISBN: 978-94-009-3953-0

  • eBook Packages: Springer Book Archive

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