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<br />I <br /> <br />I <br /> <br />I <br /> <br />Figure <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />10 <br /> <br />I <br /> <br />11 <br /> <br />1Z <br /> <br />I <br /> <br />13 <br /> <br />I <br /> <br />14 <br /> <br />15 <br /> <br />I <br /> <br />FIGURES <br /> <br />Page <br /> <br />1 <br /> <br />Mathematical model of flood hydrograph <br /> <br />....................... 6 <br /> <br />m <br /> <br />m <br />G <br /> <br />m <br />G <br /> <br />2 <br /> <br />G [Q]m <br />Functional relationship between a = e mJ <br /> <br />7 <br /> <br />(1 + ;;,) and <br /> <br />r <br /> <br />3 <br /> <br />Typical hyetographs with superposition of statistical rainfall parameters for: mean <br />time, S1 ; standard deviation, 82 ; and skewness, 83 . .. ....... <br /> <br />9 <br /> <br />4 <br /> <br />Illustrative case of situation in which the peak rate of runoff (q ) <br />was reduced below the observed peak. , . . . . . . . . . . . . o. <br /> <br />16 <br /> <br />for the fitted model <br /> <br />5 <br /> <br />Typical examples of arbitrary classification of goodness of fit <br /> <br />17 <br /> <br />6 <br /> <br />Typical attempt to fit model to observed hydrograph <br /> <br />19 <br /> <br />7 <br /> <br />Shifting of mathematical model in time to obtain better overall fit <br /> <br />20 <br /> <br />8 <br /> <br />Typical difference between biased and unbiased coefficients of determination for a <br />sample size of 47 , . , , . , . . . . , . . . . . . . . . . . . . .. ..... <br /> <br />Typical variation of the unbiased coefficient of determination, Il2 <br />variables are included in the regression . . . . . , . . . . . <br /> <br />27 <br /> <br />24 <br /> <br />9 <br /> <br />as more <br /> <br />Variation of the residual of W with actual peak discharge, qo . . . . . <br /> <br />Variation of the residual of qo with actual peak discharge. qo ...... <br /> <br />Variation of the residual of G with actual peak discharge, qo <br /> <br />30 <br /> <br />32 <br /> <br />34 <br /> <br />Closeness with which estimated hydrographs, predicted from regression equations, <br />can approximate the observed hydrograph and the best-fitting model . . . . . . . . <br /> <br />35 <br /> <br />Difference between estimated hydrograph obtained from regressions and observed <br />or best-fitting hydrographs, when the peak rate has been poorly predicted. . . . . <br /> <br />36 <br /> <br />Difference between estimated hydrograph obtained from regressions and observed <br />or best-fitting hydrographs, when the peak rate and the volume have been poorly <br />predicted. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . <br /> <br />37 <br /> <br />16 Time of concentration, T c or T 9 J for headwater areas based upon dimensions <br /> <br />I <br /> <br />17 <br /> <br />I <br /> <br />18 <br /> <br />19 <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />from outlet to ridge . . <br /> <br />39 <br /> <br />Nomograph for predicting total runoff volume, <br /> <br />Winches. . . <br /> <br />41 <br /> <br />Nomograph for predicting peak runoff rate, q inches/hour... <br />o <br /> <br />42 <br /> <br />Estimated hydrograph computed from watershed and storm parameters, <br />to one actually observed. . . . . . . . . . . . . . . . . . . . . . . . . . <br /> <br />compared <br /> <br />45 <br /> <br />vii <br />