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<br />can be defined with up to 18 points and each set of points can be <br />different. For example, the stage-damage relationship can be defined <br />with up to 18 points and the stage-flow with up to 18 entirely dif- <br />ferent points, and the same for the flow-frequency data. This allows <br />each function to be defined independently and accurately and lets the <br />computer do the linear interpolation. Additional points are developed <br />internally within the computer and these are discussed below. <br /> <br />In this example, nine frequency points were initially selected <br />tQ define the damage-frequency relationship and illustrate the compu- <br />tational procedure. These data are shown in Table 1 below. The flow <br />data were obtained from Figure 3 for selected frequencies. Corresponding <br />stages were obtained from Figure 2 and damage from Figure 1. Each damage <br />value represents the estimated damage for a flood of a particular <br />exceedance frequency. The damage-frequency data in Table 1 are plotted <br />in Figure 4. The interpolated values were obtained from the computer. <br /> <br /> TABLE 1 <br />DEVELOPMENT OF DAMAGE-FREQUENCY RELATIONSHIP <br />Frequency <br />(Exceedance Frequency Flow Stage Damage <br />in events per <br />100 years) (cfs) (feet) ($1000 dollars) <br />.1 44000 34.77 4822.3 <br />.2 36000 32.00 3620.0 <br />.5 27000 28.68 2968.3 <br />1.0 21000 25.60 2390.0 <br />2.0 16200 21.20 1508.0 <br />3.0 1 3800 18.80 658.0 <br />5.0 11000 16.00 30.0 <br />10.0 8100 13.03 6.7 <br />20.0 5700 10.63 0 <br /> <br />EXHIBIT 3 <br />2 of 12 <br />