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Low-Flow, Base-Flow, and Mean-Flow Regression Equations for Pennsylvania Streams

U.S. Geological Survey Scientific Investigations Report 2006-5130

By Marla H. Stuckey


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ABSTRACT

Low-flow, base-flow, and mean-flow characteristics are an important part of assessing water resources in a watershed. These streamflow characteristics can be used by watershed planners and regulators to determine water availability, water-use allocations, assimilative capacities of streams, and aquatic-habitat needs. Streamflow characteristics are commonly predicted by use of regression equations when a nearby streamflow-gaging station is not available.

Regression equations for predicting low-flow, base-flow, and mean-flow characteristics for Pennsylvania streams were developed from data collected at 293 continuous- and partial-record streamflow-gaging stations with flow unaffected by upstream regulation, diversion, or mining. Continuous-record stations used in the regression analysis had 9 years or more of data, and partial-record stations used had seven or more measurements collected during base-flow conditions. The state was divided into five low-flow regions and regional regression equations were developed for the 7-day, 10-year; 7-day, 2-year; 30-day, 10-year; 30-day, 2-year; and 90-day, 10-year low flows using generalized least-squares regression. Statewide regression equations were developed for the 10-year, 25-year, and 50-year base flows using generalized least-squares regression. Statewide regression equations were developed for harmonic mean and mean annual flow using weighted least-squares regression.

Basin characteristics found to be significant explanatory variables at the 95-percent confidence level for one or more regression equations were drainage area, basin slope, thickness of soil, stream density, mean annual precipitation, mean elevation, and the percentage of glaciation, carbonate bedrock, forested area, and urban area within a basin. Standard errors of prediction ranged from 33 to 66 percent for the n-day, T-year low flows; 21 to 23 percent for the base flows; and 12 to 38 percent for the mean annual flow and harmonic mean, respectively. The regression equations are not valid in watersheds with upstream regulation, diversions, or mining activities. Watersheds with karst features need close examination as to the applicability of the regression-equation results.

Table of Contents

Abstract
Introduction
     Purpose and Scope
     Previous Investigations
     Physiography and Drainage
Development of Regression Equations
     Streamflow-Gaging Stations
     Basin Characteristics
     Regression Techniques
Low-Flow Regression Equations
Base-Flow Regression Equations
Mean-Flow Regression Equations
Limitations of Regression Equations
Summary
Acknowledgments
References Cited
Appendix 1. Streamflow-gaging stations used in development of low-flow, base-flow, and mean-flow regression
     equations for Pennsylvania streams.
Appendix 2. Partial-record streamflow-gaging-station measurements and correlation results
Appendix 3. Basin characteristics for streamflow-gaging stations used in the development of low-flow, base-flow,
     and mean-flow regression equations for Pennsylvania streams.
Appendix 4. Low-flow characteristics computed from streamflow-gaging-station data and regression equations for
     stations used in analysis
Appendix 5. Base-flow and mean-flow characteristics computed from streamflow-gaging-station data and regression
     equations for stations used in analysis


This report is available online in Portable Document Format (PDF). If you do not have the Adobe Acrobat PDF Reader, it is available for free download from Adobe Systems Incorporated.

View the full report in PDF 3.2 MB

For more information about USGS activities in Pennsylvania contact:
Director
USGS Pennsylvania Water Science Center
215 Limekiln Road
New Cumberland, Pennsylvania 17070
Telephone: (717) 730-6960
Fax: (717) 730-6997
or access the USGS Water Resources of Pennsylvania home page at:
http://pa.water.usgs.gov/.



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