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<br />. Note in figure 3 that the largest flow in the <br />9-year record was nearly 10,000 cfs. The num- <br />ber 50 printed on the graph means that there <br />were 50 flows equal to or exceeding 500 cfs. <br />Once a year, on the average, a discharge value <br />of about 900 cfs will be equalled or exceeded. <br /> <br />A slightly different result would be obtained <br />if, instead of using the peak flow for each <br />storm, only the largest flow in each year were <br />included in the array. The principle involved <br />is similar. The arithmetic mean of the peak <br />flows for the nine annual events is the "average <br />annual flood." The statistics of this array are <br />such that the recurrence interval of this average <br />annual 1100d is the same regardless of the length <br />of record, which specifically is 2.3 years. That <br />is to say, a flood of that magnitude can be ex- <br />pected to be equaled or exceeded on an average <br />of once in 2.3 years, or 10 times in 23 years. <br /> <br />Studies of river channels have shown that <br />rivers construct and maintain channels which <br />will carry without overflow a discharge some- <br />.what smaller than the average annual flood. In <br />ct the recurrence interval of the bankfull <br />age in most rivers is a flow having a recur- <br />rence interval of about 1.5 to 2 years. <br /> <br />Urbal1ization tends to increase the flood po- <br />tential from a given basin. The channel then <br />will receive flows which exceed its capacity not <br />just once in 1.5 to 2 years on the average but <br />more often. It is now proposed to estimate how <br />much more often and to indicate the effect of <br />this increased frequency on the channel itself. <br /> <br />EFFECT OF URBANIZATION ON INCREASING <br />FREQUENCY OF OYERBANK FLOW <br /> <br />Taking the East Branch of Brandywine <br />Creek as an example, the flow-frequency curve <br />can be constructed for a typical subbasin hav- <br />ing a 1-sq-mi drainage area. Figure 4A shows <br />the relation of average annual flood to drainage <br />area, and figure 4B shows the flood-frequency <br />curve for annual peaks for basins in the <br />Brandywine area. The diagrams shown in fig- <br />ure 4 are similar to those published in the <br />nationwide series of flood reports, U.S. Geolog- <br />ical Survey Water-Supply Papers 1671-1689. <br /> <br />. From these curves a discharge-frequency re- <br />tionship is developed for a drainage area of <br /> <br />1 sq mi. The average annual flood is read from <br />the upper graph of figure 4 as 75 cfs, and the <br />lower graph is used to construct the frequency <br />curve in figure 5 pertaining to a 1-sq-mi basin <br />marked "unurbanized." <br /> <br />The arithmetic for the construction of the <br />curve is as follows: <br /> <br />Recurrence <br />intervfllof <br />Rnnual flood 1 <br />(}'ears) <br /> <br />Ratio to <br />mean annual <br />flood ~ <br /> <br />Recurrence <br />Discharge ~ interval duration <br />(cis) series 4 <br />(years) <br /> <br />1.1 0.55 41 0.4 <br />1.5 .75 56 .92 <br />2.0 .90 68 1.45 <br />2.3 1.0 75 1.78 <br />5 1.45 110 4.5 <br />10 1.9 145 9.5 <br /> <br />1 Only the highest flood each year. <br />~ From figure 4B. <br />"Ohtained by multiplying ratios by 75 ds from figure 4A for a <br />drainage area of 1 sq mi. <br />I All peaks during the yeftT. The values in this column are mathe- <br />matically related to those in the first. <br /> <br />The graph marked "un urbanized" in figure <br />5 is constructed on semi logarithmic paper from <br />the data listed in the third and fourth columns <br />of the preceding table. The ordinate is the dis- <br />charge, and the lower abscissa is the recurrence <br />interval in the duration series." An auxiliary <br />scale gives the average number of floods in a <br />10-year period (calculated as 10 years divided <br />by the recurrence interval). Thus, the flow <br />expected to occur once in 10 years would be <br />about 145 cfs and the fifth largest would be 75 <br />cfs. The latter would also be the average value <br />of the largest flows each year during the 10- <br />year record and thus would be the "average <br />annual flood." It would plot, therefore, at an <br />abscissa position approximately at 2.3-year re- <br />currence interval. <br /> <br />The effect of urbanization on the average <br />annual flood is shown in figure 2, which shows <br />the increase in average annual flood for differ- <br />ent degrees of urbanization as measured by the <br />increase in percentages of impervious area and <br />area served by storm sewers. For convenience <br />these are tabulated as follows: <br /> <br />Percentage Percentage Ratio to <br />of area oJ area average <br />sewered impervious annualftood <br />0 0 I <br />20 20 1.5 <br />40 40 2.3 <br />50 50 2.7 <br />80 60 4.2 <br />100 60 4.4 <br /> <br />7 <br />