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<br />Instream Temperature Model " "DRAFT" " <br />Page 7 <br />March 27, 1989 <br />S = . 6745 S-r . x <br />where <br />Ti ith predicted temperature from heat transport model <br />Tj jth predicted temperature from regression model <br />N = number of predicted temperatures in sample set <br />i j <br />ST.x modified standard difference of estimate <br />Calibration of the Temperature Model was accomplished by adjusting <br />the internally-defined model coefficient for air temperature until <br />the probable difference was minimized while increasing the <br />coefficient of determination. Adjusting the air temperature <br />coefficient accounts for transposition of air temperature from the <br />Grand Junction weather station to each node in the network. An <br />assumption is made that the validation gage regression models and <br />observed water temperatures are accurate. <br />The mean and probable differences for the Green River validation <br />node near Jensen on an annual basis were .49°C and 1.39°C, respec- <br />tively. Regressed and predicted water temperatures for this node are <br />plotted in Figure 2. The model under-predicted water temperatures at <br />this node for six of the fourteen time periods (Table 5). <br />Water temperatures were under-predicted for three time periods at <br />the Green River node near-Green River, Utah. The mean difference at <br />this node was .83°C and the probable error was 1.23°C. Regressed <br />and predicted water temperatures at this node are plotted in figure <br />3. <br />The average mean error for all validation nodes was .66°C and the <br />associated probable error was 1.32°C (Table 5). The 50% confidence <br />interval of .66 ± 1.23°C is within the Biel fluctuation of water <br />temperatures throughout the stream network. <br />CONCLUSIONS <br />The USGS gages within the study area had useful instream temperature <br />data.- However, most of the gages had missing data and several gages <br />had two or more years in a row with no water temperature data. In <br />addition, none of the gage data were developed from accurate 24- <br />hour averages; it can only be assumed that instream temperatures <br />acquired from the USGS represent temperatures somewhere between the <br />minimum and maximum for the day recorded. <br />The Regression model was used to fill in missing temperature data <br />