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<br />peak discharges; <br /> <br />s is an index of variability equal to <br />the mean standard deviation of <br />the logarithms (base 10) of the <br />observed annual-peak discharges <br />at the gaging stations used in <br />each respective regression-model <br />data set; and <br /> <br />SEp is the average standard error of <br />prediction, in log units (base 10), <br />estimated usmg the Press <br />statistic. <br /> <br />Several of the primary drainage-basin <br />characteristics used in the regression equations <br />listed in table 2 are map-scale dependent. Use of <br />maps of scales other than the scales used to <br />develop the equations may produce results that <br />do not conform to the range of estimation <br />accuracies listed for the equations in table 2. <br />The scale of map to use for manual <br />measurements of each primary drainage-basin <br />characteristic is outlined in Appendix A and <br />Appendix B. <br /> <br />An additional constraint in the application <br />and reliability of the channel-geometry <br />characteristic equations is thE' requirement to <br />obtain onsite measurements of bankfull or <br />active-channel width, and possibly bankfull <br />depth. Training and experience are required to <br />properly identify the bankfull and active- <br />channel features in order to make these <br />measurements. The variability in making these <br />measurements can be large, even among <br />experienced individuals. As reported by Wahl <br />(1976), based on a test condueted in northern <br />Wyoming, the standard error in estimated <br />discharge due to variation in width measure- <br />ments alone was about 30 percent (0.13 log <br />unit). Variation in bankfull-depth measure- <br />ments probably would increase this standard <br />error in estimated discharge. Wahl (1976) also <br />noted an average bias with respect to the mean <br />channel width of about 14 percent (0.06 log <br />unit). A truer total standard error, in log units, <br />for a channel-geometry discharge estimate is <br />calculated by Wahl (1984, p. 6;3) as the square <br />root of the sums of the squares of the errors of <br />the regression equation and of the variation and <br />average bias in width measurements. Using the <br />standard error of estimate for the Region I, <br /> <br />100-year flood bankfull equation (table 4) and <br />assuming the standard errors for measuring <br />channel width reported by Wahl (1976), the <br /> <br />true standard error = [(0.192)2 + (0.13)2 + (0.06)2] 0.5, <br />~ 0.240. <br /> <br />This yields an average standard error of 59.6 <br />percent compared to 46.4 percent for the <br />regression equation alone. Wahl (1984, p. 64) <br />notes that the variability of the measurements <br />collected in the Wyoming test probably is <br />greater than normally would be encountered in <br />applying channel-geometry measurements in a <br />particular hydrologic area. Sites in the <br />Wyoming test were chosen for their diversity, <br />and they ranged from ephemeral streams in a <br />nearly desert environment to perennial streams <br />in a high mountain environment. <br /> <br />Despite the limitations associated with the <br />channel-geometry method, the equations <br />presented in this report are considered to be <br />useful as a corroborative flood-estimation <br />method with respect to the drainage-basin <br />method. The channel-geometry equations are <br />applicable to all unregulated, stabilized stream <br />channels in the State, whereas the drainage- <br />basin equations are applicable only to stream <br />sites with drainage areas less than 1,060 mi2. <br />Although the error of measurement may be <br />larger for channel-geometry characteristics <br />than for drainage-basin characteristics, the <br />variability of channel-geometry measurements <br />made in Iowa are assumed to be not as great as <br />reported by Wahl (1984) for the Wyoming test. <br />An additional advantage in utilizing the <br />channel-geometry method is that design-flood <br />discharge estimates obtained from each <br />flood-estimation method can be used to calculate <br />a weighted average as described in the following <br />section. <br /> <br />Weighting Design-Flood Discharge <br />Estimates <br /> <br />Design-flood discharges determined using <br />both the drainage-basin and channel-geometry <br />flood-estimation methods are presumed to be <br />independent from each other. Each flood- <br />estimation method thus can be used to verify <br />results from the other; when design-flood <br />discharge estimates are independent, the <br />independent estimates can be used to obtain a <br />weighted average (lACWD, 1982, p. 8-1). <br /> <br />34 ESTIMATING DESIGN-FLOOD DISCHARGES FOR STREAMS IN IOWA <br />