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

GENERALIZATION OF STREAMFLOW CHARACTERISTICS FROM DRAINAGE-BASIN CHARACTERISTICS

by D.M. Thomas and M.A. Benson

Prepared by the U.S. Geological Survey

Water-Supply Paper 1975

TABLE OF CONTENTS

Symbols
Abstract
Introduction
    Acknowledgments
Description of study regions
    Eastern region
    Central region
    Southern region
    Western region
Selection of streamflow records for analysis
Indices of streamflow characteristics
    Low flows
    Flow durations
    Momentary flood peaks
    Flood volumes
    Mean flows
    Standard deviations
    Skew coefficients
    Serial correlation coefficients
Drainage-basin characteristics
    Drainage area
    Main-channel slope
    Main-channel length
    Surface storage
    Elevation
    Forested area
    Soils index
    Basin width
    Alluvial area
    Channel characteristics
    Meander ratio
    Bifurcation ratio
    Mean flow distance
    Valley width
    Mean annual precipitation
    Mean monthly precipitation
    Snow
    Precipitation intensity
    Average annual evaporation
    Thunderstorm days
    Temperature
Analytical methods
Results
Discussion of results
    Variables effective in explaining streamflow variation
    Accuracy of defined relations
    Applicability of generalized relations to gaged sites
    An accuracy test of Potomac River relations
    Implications in design of data-collection systems
Summary and conclusions
References cited

FIGURES

1. Map of conterminous United States showing locations of four study regions

2-5. Maps showing sites for which streamflow records were analyzed:
    2. Potomac River basin
    3. Central region
    4. Southern region
    5. Western region

6. Isohyetal map of mean annual precipitation in Soutern region

7. Isohyetal map of mean annual precipitation in Western region

8. Isohyetal and precipitation anomaly map of mean annual precipitation in Potomac River basin

9. Snow anomaly map of the Potomac River basin

10. Map of the Central region showing average annual snowfall

11. Graph showing relation of average water content of the April 1 snowpack to elevation for subregions of the Western region

12. Map of snowpack subregions for the Western region

13-16. Potomac River basin relations
    14. Central region relations
    15. Southern region relations
    16. Western region relations

TABLES

1. Ranges and averages of basin characteristics

2-5. Simple correlation coefficients for independent variables used in the
    2. Potomac River basin analysis
    3. Central region analysis
    4. Southern region analysis
    5. Western region analysis

6-9. Summary of regression relations
    6. Eastern region
    7. Central region
    8. Southern region
    9. Western region

10. Basin characteristics found to be signficantly related to streamflow

11. Observed and predicted streamflow characteristics for short-term streamflow record sites in the Potomac River basin

ABSTRACT

Definition of the natural streamflow in all streams, gaged or ungaged, is one of the principal objectives of the streamflow data-collection program of the Geological Survey. This report describes the results of using statistical multiple-regression analyses to provide a generalized definition of the natural streamflow in four widely separated regions of the eastern, central, southern, and western areas of the conterminous United States.

In each study region, every long-term, virtually natural streamflow record was characterized by 71 or more flow indices. These indices represented magnitudes of high, low, and medium flows and also the distributions of flows in time. Numerous topographic and climatic indices were defined to describe the drainage basin above the site of each flow record. Multiple-regression analyses then defined the relation between each flow characteristic and the drainage-basin characteristics. The analyses also provided measures of the accuracy of each relation.

Results of the regression analyses indicate that streamflow characteristics can be defined more accurately in the humid Eastern and Southern regions than in the more arid Western and Central regions, that medium flows can be more accurately defined than high flows, and that low flows can be only weakly defined. Standard deviations of monthy and annual flows were found to be significantly related to basin characteristics. Some indices of flow distributions in time (serial correlation and skew coefficients) could better be described by regional averages.

Regression relations presented in this report may be used to estimate many natural-flow characteristics at any site in the study regions. In addition, the knowledge of basin characteristics found significantly related to streamflows and the knowledge of the accuracy of defined relations provide a firm technical basis for modifying and improving the existing streamflow data-collection system.



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