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<br />To model this hypothesis, the contributing drainage area from each <br /> <br /> <br />1,000-foot (305-meter) part of each basin was calculated as shown in Figure <br /> <br /> <br />7 and Table 2. Beginning with the 13,000-foot (3,962-meter) elevation, the <br /> <br /> <br />contributing drainage area below this elevation was calculated and is <br /> <br /> <br />listed in Table 1. Regression analysis was done for each flood magnitude <br /> <br /> <br />against drainage areas below each elevation level. Using the decrease of <br /> <br /> <br />standard error of estimate (average) and the increase in the correlation <br /> <br />coefficient as criteria, the elevation level defining the contributing <br /> <br /> <br />drainage area was selected. The drainage area, mean basin elevation, and <br /> <br /> <br />gage datum were all significant but were so intercorrelated with each other <br /> <br /> <br />that mean basin elevation and gage datum were not used. For each de- <br /> <br /> <br />creasing (or increasing) elevation level, fewer sites were included in the <br /> <br /> <br />regression because the higher (or lower) sites would not have contributing <br /> <br /> <br />drainage area and were not used in the analysis. <br /> <br />Regression analyses were made on three drainage-area characteristics: <br /> <br />total drainage area, drainage area below a stated elevation level, and <br /> <br />drainage area above a stated elevation level. Regression models in the <br /> <br />form: <br /> <br />b <br />QRt = a(A) <br /> <br />(2) <br /> <br />where <br /> <br />QRt = rainfall flood magnitude, in cubic feet per second, for the <br /> <br />recurrence interval, t, in years; <br /> <br />a = regression constant; <br /> <br />A = drainage-area characteristic, in square miles; and <br /> <br />b = the regression exponent for the drainage-area characteristic. <br /> <br />.3f <br />