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<br />rate of the fourth power; for deviations less than 10% the penalty is reduced <br />rapidly. <br />The objective function is a meaningful representation of system performance <br />only if it is possible to accurately calculate and develop confidence in the individual <br />components comprising the function, For example, the annual damage at a <br />control point, AD j' results from economic analyses that define potential damage <br />and hydrologic analyses that define the exceedence frequency relationships. <br />In order that this procedure be as nearly acceptable to Corps of Engineers <br />users as possible, the hydrologic and economic analyses are performed by the <br />computer simulation model by approximate current state-of-the-art methods in <br />use by the Corps. <br />The hydrologic simulation is performed using rainfall-runoff procedures that <br />consist of: (I) Subdividing the watershed into subbasins; (2) computation of <br /> <br />o <br />,"" /" <br />I,' , <br />",,' /'. <br />'", ',~", , <br />, <br /> <br />Storm Rainlall <br /> <br />a <br /> <br /> <br />Tra".1orm <br />~UllitH~droll'aptal <br />I <br /> <br />Subbuin Hydrogroph <br /> <br />Elesn <br /> <br />Subbasin Rainfall <br /> <br />Lou" <br />tIllfillra'iol'l) <br /> <br />ilL} <br /> <br /> <br />Tim. <br /> <br />G. Subbasin <br /> <br />hydrovrapll computoliOfl <br /> <br /> <br />[ Subdwlde 110.." .nto ",bba,ins A, B,C, D, Gnd E <br />tooccOlllocloll.tudyolt.-notivu,da_lI' <br />IoeGtlons, and wollrlhld hydrololl),. <br /> <br />II Con\tlutatiOflllqulncl <br />~t.lUbbo.inhJdrollrllph{H.G.llltA <br />Comput. H. G, 01 8 <br />COft'Ibinl Gnd roull 10 rn.rvoir al C' <br />Comblne locol C H.G, <br />COIlIbiM and rOllt' through rn.rvolr <br />... <br /> <br />b. Buin modlling (o_pls <br /> <br />" <br /> <br />FIG. 1.-Rainfall.Runoff Computations for Complex Basin <br /> <br />r <br /> <br />subbasin average rainfall; (3) extraction of subbasin losses to yield rainfall excess; <br />(4) computation of a runoff hydrograph from individual subbasins by use of <br />the unit hydrograph procedure; (5) routing subbasin hydrographs to concentration <br />points by application of hydrologic routing procedures; and (6) combining <br />hydrographs at concentration points. The simulation is performed by the HEC-I <br />computer program (6) that has been in use by Corps hydrologists for a number <br />of years. A schematic diagram of the computation of runoff hydrographs at <br />various points in a complex basin is shown in Fig, 1. <br />The economic calculation of the expected value of annual damages is performed <br />using the Corps procedure that consists of: (I) Estimating the economic conse- <br />quence of a flood from a damage function that relates the damage for a flood <br />event to the peak flow or stage; and (2) combining this function with the exceedence <br />