MULTIVARIABLE FLOOD LEVEL FREQUENCY DISTRIBUTIONS

A graphical procedure is outlined for the determination of discrete values of a multivariable frequency distribution of three independent variables each with individual frequency distributions. The method is developed for the determination of the frequency of water levels at a dike structure due to the combined occurrence of adjacent channel flows, outlet lake level fluctuations, and wave action. The frequency distribution is defined as a function of the triple integral of the product of the individual marginal frequency distributions. A graphical solution for the integration is detailed. The integrand is rearranged to products of two functions according to the statistical principle of mutually exclusivity and solved using a rectangular coordinate system defined by the individual frequency distributions. This method may be used to find the frequency distribution of any multivariable function of two or more independent variables with known frequency distributions. /Author/

• Corporate Authors:

  American Society of Civil Engineers

  345 East 47th Street
  New York, NY  United States  10017-2398
• Authors:
  • Strelchuk, D L
• Publication Date: 1976-12

Media Info

• Features: Appendices; Figures; References;
• Pagination: p. 1737-44
• Serial:
  • Journal of the Hydraulics Division
  • Volume: 102
  • Issue Number: HY12
  • Publisher: American Society of Civil Engineers

Subject/Index Terms

• TRT Terms: Dikes; Floods; Frequency distributions; Multivariate analysis; Water table; Wave motion
• Uncontrolled Terms: Flood frequency
• Old TRIS Terms: Wave action
• Subject Areas: Data and Information Technology; Highways; Hydraulics and Hydrology; Marine Transportation;

Filing Info

• Accession Number: 00148385
• Record Type: Publication
• Report/Paper Numbers: ASCE #12637
• Files: TRIS
• Created Date: Mar 30 1977 12:00AM