Using Rating Curves

A rating curve has the following form: Q = a * Sb where Q is discharge, a and b are constants and S is the stage. The values of "a" and "b" can be determined by a "least squares" statistical analysis of a set of Q and S data. Least Squares is an advanced topic beyond the level of this activity.

The diagram below contains the rating curves for 6 different American rivers. Each rating curve is interactive in that you can click on the graph and drag to a particular stage value and the associated discharge will be displayed. Use the graph to complete the table below.

River
Location
Watershed
Gunnison
Gunnison, CO
1012 mi2
Russian
Guernerville, CA
1338 mi2
Cumberland
Williamsburg, KY
1607 mi2
Kings
Berryville, AR
527 mi2
Yadkin
Enon, NC
1694 mi2
Platte
North Bend, NB
70,400 mi2
Complete this table
Stage (feet)
Discharge (cfs)
Gunnison River at Gunnison, Colorado
3.5
Russian River at Guernerville, California
5.0
Cumberland River, Kentucky 7.5
Kings River at Berryville, Arkansas
7.0
Yadkin River at Enon, N. Carolina 10
Platte River at North Bend, Nebraska
6.5

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