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best estimate of actual sediment yield from the <br />watersheds. <br />RESULTS AND DISCUSSION <br />Analysis of the data from the Boise and Clear- <br />water National Forests resulted in 87 suspended, 83 <br />bedload, and 81 total sediment rating equations <br />(Qs = aQb). Thirty-eight equations of each sediment <br />type were derived from the Silver Creek data. <br />Rating Equation Success <br />The number of equations that were statistically <br />significant at the 95 percent level of confidence var- <br />ied by sediment type (table 1). An arbitrary criterion <br />was used to establish "useful" equations. Equations <br />were used to predict sediment yield if the explana- <br />tory (independent) variable, Q, explained at least 60 <br />percent of the variation in the response (dependent) <br />variable, Q. (that is, R2--0.60). The better controlled <br />sampling conditions in Silver Creek should have <br />provided data that define the sediment-discharge <br />relation more accurately. However, the variability of <br />sediment discharge was no better defined by the <br />regressions on streamflow in Silver Creek than at <br />the natural cross-sections on the two Forests <br />(table 1). <br />Significant relationships were much more evident <br />for bedload sediment than for suspended sediment. <br />This supported the observations of Shen (1972), <br />Holeman (1975), and Rannie (1977) that suspended <br />sediment discharge on large rivers was more depen- <br />dent on watershed properties and perturbations than <br />on streamflow, and that bedload should be more <br />closely correlated with streamflow. Only 11 percent <br />of the suspended sediment equations but half of the <br />bedload equations had R2>0.60. Total sediment load <br />rating equations fared much better on the National <br />Forests than in Silver Creek; 78 percent versus 47 <br />percent had R2>0.60. The research watersheds were <br />typically smaller than the monitored watersheds on <br />the Forests, but no correlation was found between <br />watershed size and rating equation success. <br />All suspended sediment regressions in this paper <br />used sediment concentration in milligrams per liter <br />(mg/L) and streamflow in cubic feet per second <br />(ft3/s). Sometimes suspended sediment is reported as <br />a rate, such as kilograms per hour (kg/h). If this rate <br />is regressed against streamflow, the coefficient of <br />determination will be considerably higher than if the <br />same data in milligrams per liter were used. The <br />result, however, is a spurious self-correlation because <br />the conversion of concentration, milligrams per liter, <br />to a rate in kilograms per hour involves streamflow <br />(Kenney 1982). The regression using kilograms per <br />hour is really aQ vs Q. The self-correlation of Q vs Q <br />does not alter the sediment concentration predicted <br />using streamflow. But a cause-and-effect relationship <br />between the two, with properties of the resulting <br />equation, cannot be claimed. <br />The rating equations for total sediment were also <br />plagued by spurious self-correlation because sus- <br />pended sediment concentration must be converted to <br />a rate before being added to the bedload component. <br />This problem is unavoidable with current sampling <br />devices that measure suspended sediment as a con- <br />centration and bedload as a rate. <br />Several factors may contribute to the low success <br />rate for the rating equations. First, the sample size <br />was small, typically 15 or less. With small samples, <br />the table t value becomes large due to the small <br />degrees of freedom. This makes it more difficult to <br />show statistical significance. A related problem may <br />be that the 10 to 15 samples did not adequately <br />sample the hydrograph to define a good sediment- <br />discharge relationship. The hysteresis effect may be <br />inherent in the data, even though there are not <br />enough data points to analyze for these effects. The <br />presence of hysteresis merely adds to the variance <br />due to concentration. <br />Various levels of management activities existed <br />prior to and during the period of monitoring on <br />most of the Forest watersheds. This could continu- <br />ally vary the sediment supply to the streams such <br />that a good sediment-discharge relationship for a <br />given year may not exist. In the research area, how- <br />ever, management activities were controlled. Most of <br />the drainages were undisturbed for 2 or 3 years and <br />then impacted with specified levels of management. <br />The introduction of disturbances in these small <br />watersheds did not have an adverse effect on the <br />rating equation success. The rating equation success <br />increased slightly after management activities <br />occurred in the drainages. Because these drainages <br />Table 1-Statistical significance of sediment rating equations in the Idaho batholith <br />Sediment <br />Location type' No. rating <br />equations No. significant <br />rating equations2 <br />(%) No. significant rating <br />equations w/R2>0.60 <br />(%) <br />National Forests3 SS 87 38 (44) 10 (11) <br />BL 83 59 (71) 47 (57) <br />Tot 81 71 (88) 63 (78) <br />Silver Creek SS 38 18 (47) 4 (11) <br />BL 38 27 (71) 16 (42) <br />Tot 38 30 (79) 18 (47) <br />'Type of sediment: SS = suspended; BL = bedload; Tot = total sediment. <br />2Significant rating equations are those with coefficients that are significant at the 95 percent level of confidence <br />3Data from granitic watersheds on the Clearwater and Boise National Forests, Idaho.