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<br />AF <br /> <br />QT(wgj <br />AF~~. <br />QT(cg) <br /> <br />where QT(wgl <br /> <br />QT(rg) <br /> <br />tlTDA <br /> <br />TDAg <br /> <br />geometry regression-equation <br />estimates QT(dbogl (equation 14); <br />(2) only the drainage-basin <br />regression-equation estimate <br />QT(db); or (3) only the channel- <br />geometry regression-equation <br />estimate QTlcgj; <br /> <br />is the adjustment factor for the <br />gaged site and is calculated as <br /> <br />(18) <br /> <br />is the weight,ed design-flood <br />discharge for the gaged site, in <br />cubic feet per second, as defined <br />by equation 16; <br /> <br />is the regression design-flood <br />discharge for the gaged site, in <br />cubic feet per second, determined <br />as one of the following: (1) the <br />weighted average of both the <br />drainage-basin and channel- <br />geometry regression-equation <br />estimates QT(dbog), as defined by <br />equation 14; (2) only the <br />drainage-basin regression- <br />equation estimate QTldbl; or (3) <br />only the channel-geometry <br />regression-equation estimate <br />QTlcgl; <br /> <br />is the absolute value of the <br />difference between the total <br />drainage area of the gaged site <br />(TDAg) and the total drainage <br />area of the ungaged site; and <br /> <br />is the total drainage area of the <br />gaged site, in square miles, listed <br />as the published drainage area in <br />table 9. <br /> <br />This procedure (I) adjusts the <br />regression-equation estimate for the ungaged <br />site QT(ruj by the ratio AF when the total <br />drainage area of the ungaged site equals the <br />total drainage area of the gaged site TDAg and <br />(2) prorates the adjustment to 1.0 as the <br />difference in total drainage area between the <br />gaged site and the ungaged site approaches <br /> <br />either 0.5 or 1.5 of the total drainage area of the <br />gaged site. In other words, when the total <br />drainage area of the ungaged site is 50 percent <br />larger or 50 percent smaller than the total <br />drainage area of the gaged site, no adjustment is <br />applied to the regression-equation estimate for <br />the ungaged site QTlrul' <br /> <br />Example of Estimation Method--Example 8 <br /> <br />Examole 8.--Determine the 50-year peak- <br />discharge estimate for an ungaged site on Otter <br />Creek, located on the Osceola and Lyon County <br />line, at a bridge crossing on County Highway <br />L26, 4.75 mi southwest of Ashton, in the SWl/4 <br />sec. 31, T. 98 N., R. 42 W. Because a crest-stage <br />gaging station is located on this stream, Otter <br />Creek near Ashton (station number 06483460; <br />map number 139, fig. 1), the 50-year recurrence <br />interval regression-equation estimate <br />calculated for the ungaged site can be adjusted <br />by the weighted 50-year flood-discharge <br />estimate calculated for the gaged site. <br />Estimating the adjusted 50-year peak discharge <br />for the ungaged site Q50(au) (equation 17) <br />involves four steps. <br /> <br />Step 1. A regression-equation estimate <br />Q501ru) (equation 17) is calculated for the <br />ungaged site. Both drainage-basin and channel- <br />geometry flood-estimation methods could be <br />used to calculate a weighted average estimate <br />Q50ldbcg) (equation 14) for the regression <br />estimate (Q50(ru)) or only one of these <br />flood-estimation methods could be used to <br />calculate the regression-equation estimate <br />(Q50Iru))' For this example, only the statewide <br />drainage-basin estimate (Q50Idb)) (table 2) will <br />be used for the 50-year recurrence interval <br />regression-equation estimate (Q50(ru)) at the <br />ungaged site because channel-geometry <br />measurements were not collected for calculating <br />a channel-geometry estimate (Q50(cg))' <br /> <br />(A). The characteristics used III the <br />drainage-basin equation (table 2) are <br />contributing drainage area (CDA), relative relief <br />(RR), drainage frequency (DF), and 2-year, <br />24-hour precipitation intensity (TTF). The <br />primary drainage-basin characteristics used in <br />this equation are total drainage area (TDA), <br />noncontributing drainage area (NCDA), basin <br />relief (BR), basin perimeter (BP), number of <br />first-order streams (FOS), and 2-year, 24-hour <br /> <br />38 ESTIMATING DESIGN-FLOOD DISCHARGES FOR STREAMS IN IOWA <br />