U.S. Geological Survey - http://www.usgs.gov U.S. Geological Survey - http://www.usgs.gov

EVOLUTION OF METHODS FOR EVALUATING THE OCCURRENCE OF FLOODS

by M.A. Benson

Prepared by the U.S. Geological Survey

Geological Survey Water-Supply Paper 1580-A

TABLE OF CONTENTS

Abstract
Introduction
Methods of analyzing flood events
    Empirical formulas
    Empirical formulas involving frequency
    Formulas involving rainfall
    Statistical methods
Techniques of statistical flood-frequency analysis
    Flood-frequency curves
        Mathematically fitted curves
        Graphical curves
    Types of flood data analyzed
    Plotting position
    Plotting paper
Regional flood-frequency analysis
    Significance of a single station record
    Synthetic 1,000-year flood study
    Index-flood method
        Base-frequency curves
        Mean annual flood
        Factors related to mean annual flood
        Special treatment for large streams
    Multiple-correlation methods
    Evaluation of the index-flood method
Design frequency relations at gaged sites
Predictive value of the flood-frequency relation
References

ABSTRACT

A brief summary is given of the history of methods of expressing flood potentialities, proceeding from simple flood formulas to statistical methods of flood-frequency analysis on a regional basis. Current techniques are described and evaluated. Long-term flood records in the United States show no jusitification for the adoption of a single type of theoretical distribution of floods. The significance and predictive value of flood-frequency relations are considered. Because of the length of flood records available and the interdepdendence of flood events within a region, the probable long-term average magnitudes of floods of a given recurrence interval are uncertain. However, if the magnitudes defined by the records available are accepted, the relative effects of drainage-basin characteristics and climatic variables can be determined with a reasonable degree of assurance.



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