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

FLOOD FREQUENCY EXPECTED AND UNEXPECTED PROBABILITIES

by D.M. Thomas

Prepared by the U.S. Geological Survey

1976
Open-File Report 76-775

TABLE OF CONTENTS

Abstract
Introduction
Frequency concepts
Discharge variations
Probability variations
    Expected probability
Discussion
Summary and conclusions
References

FIGURES

1. Time-sampling variations in 10-year records

2. Discharge histograms

3. Frequency curves on rectangular coordinate graph

4. Probability histograms

TABLES

1. Theoretical number of years in a 100-year period that floods exceed a 3 percent chance design discharge estimated from a 10-year record at 20 homogeneous but independent sites

ABSTRACT

Flood-frequency curves may be defined either with or without an "expected probability" adjustment; and the two curves differ in the way that they attempt to average the time-sampling uncertainties. A curve with no adjustment is shown to estimate a median value of both discharge and frequency of occurrence, while an expected probability curve is shown to estimate a mean frequency of flood years. The attributes and constraints of the two types of curves for various uses are discussed.



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