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<br /> <br /> <br />shows the coefficients of determination, R', and the <br />standard errors of regression for equations 3-9. <br /> <br />Floodch<lfacteristic <br /> <br />Statistic <br /> <br />UQ2 UQ5 UQ10 UQ25 UQ50 UQlOO UQ500 <br /> <br />Coefficient of <br />determination, R I <br /> <br />.93 .93 .93 .93 .92 <br /> <br />_92 <br /> <br />.90 <br /> <br />Standard error of <br />regression: <br />Log units <br /> <br />.1630 .1584 .1618 .1705 .1774 .1860 .2071 <br /> <br />Average percent <br /> <br />:1::38 :1:37 :i:38 :1::40 :t42 :1:44 :1:49 <br /> <br />Because of their suitability and accuracy, these <br />equations provide a good method of estimating the <br />effects of urbanization on magnitude and frequency of <br />peak discharge. From the 269 sites available for analysis, <br />55 were omitted because of known detention storage, 10 <br />were omitted because detention storage effects were <br />uncertain, and 5 were omitted because of missing data. <br />Therefore, the equations are derived from 199 sites. Fig- <br />ures 3, 4, and 5 compare the 2-year, IO-year, and 100- <br /> <br />10.000 <br /> <br />Cl <br />Z <br />o <br />u <br />W <br /><Jl <br />0: <br />w <br />0- <br />f- <br />w <br />~ 1000 <br />u <br />'" <br />::J <br />U <br />Z <br /> <br />EXPLANATION <br />0-1 OBSERVATION <br />0-2 OBSERVATIONS <br />~-3 OBSERVATIONS <br /> <br />w <br />r.:J <br />0: <br /><l: <br />I <br />U <br /><Jl <br />Cl <br />Cl <br />w <br />f- <br /><l: <br />::;; <br />i= <br /><Jl <br />W <br /> <br />100 <br /> <br />10 <br /> <br />10 <br /> <br />year observed peak discharges to the respective peaks <br />estimated from equations 3, 5. and 8. <br />All independent variables in equations 3-9 are sta- <br />tistically significant at the I-percent level with tbe fol- <br />lowing exceptions. The percent of impervious area, lA, <br />was statistically significant at the I-percent level in <br />equation 3 and at the 2-percent level in equation 4, but <br />was not significant at the 5-percent level for equations <br />5-9. The change in significance of the variable IA sug- <br />gests that impervious area in a basin will effectively <br />increase runoff (primarily volumes) for low-order fioods, <br />but will rapidly become less effective during large floods <br />when soils become saturated and approach a runoff <br />condition similar to that produced by impervious sur- <br />faces. Even though IA is not higbly significant for equa- <br />tions 5-9, it was retained to provide continuity with <br />equations 3 and 4. Storage, ST, and slope, SL, for equa- <br />tions 8 and 9 were significant at the 2-percent level. <br />The most significant variable in each of the equa- <br />tions is the equivalent rural discharge, RQ, because it is <br />closely related to the urban peak discharge. Rural dis- <br />charge is the key for explaining geographical variations <br />in runoff in different parts of the country. Consequently, <br />the equations are suitable for use in urban areas through- <br />out the United States, with no expecte': geographical <br />bias. The tests made to substantiate this conclusion are <br /> <br />o <br />o <br /> <br />o <br /> <br />o <br /> <br />100 1000 <br />OBSERVED DISCHARGE, IN CUBIC FEET PER SECOND <br /> <br />10,000 <br /> <br />Figure 3. Comparison of observed 2-year urban peak discharge to peak discharge estimated from equation 3. <br /> <br />Estimating Procedures for Ungaged Urban Sites 11 <br />