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mitigation project reduces risk does not make it a good project. A $1,000,000 project <br />that avoids an average of $100 per year in flood damages is not worth doing, while the <br />same project that avoids an average of $200,000 per year in flood damages i_ss worth <br />doing. <br /> <br />The principles of benefit-cost analysis are briefly summarized here. The benefits of a <br />hazard mitigation project are the reduction in future damages and losses, that is, the <br />avoided damages and losses that are attributable to a mitigation project. To conduct <br />benefit-cost analysis of a specific mitigation project the risk of damages and losses <br />must be evaluated twice: before mitigation and after mitigation, with the benefits being <br />the difference. The benefits of a hazard mitigation project are thus simply <br />avoided future damages and tosses. <br /> <br />Because the benefits of a hazard mitigation project accrue in the future, it is <br />impossible to know exactly what they will be. For example, we do not know when <br />future floods or other natural hazards will occur or how severe they will be. We do <br />know, however, the probability of future floods or other natural hazards (if we have <br />appropriate hazard data). Therefore, the benefits of mitigation projects must be <br />evaluated probabilistically and expressed as the difference between annualized <br />damages before and after mitigation. The following simplified example illustrates the <br />principles of benefit-cost analysis; more details are given in the examples in the <br />Appendices. <br /> <br />To illustrate the principles of benefit-cost analysis, we consider a hypothetical single <br />family house in the town of Acorn, with the house located on the banks of Squirrel <br />Creek. The house is a one story struture, about 1500 square feet on a post <br />foundation, with a replacement value of $60/square foot (total $90,000). We have <br />flood hazard data for Squirrel Creek (stream discharge and flood elevation data) and <br />elevation data for the first floor of the house. Therefore, we can calculate the annual <br />probability of flooding in one-foot increments, as shown below. <br /> <br /> Table 1,8 <br /> Damages Before Mitigation <br /> <br /> Flood Depth Annual Probability Scenario Damages and Annualized Flood <br /> (feet) of Flooding Losses Per Flood Event Damages and Losses <br /> <br /> 0 0 2050 $6,400 $1,312 <br /> 1 0 1234 $14,300 $I ,765 <br /> 2 0 0867 $24,500 $2,124 <br /> 3 0.0223 $28,900 $673 <br /> 4 0 0098 $32,100 $315 <br /> 5 0.0036 $36,300 $123 <br /> <br /> Total Expected Annual (Annualized) Damages and Losses $6,312 <br /> <br />Flood depths shown above in Table 1.8 are in one foot increments of water depth <br />above the lowest floor elevation. Thus, a "3" foot flood means all floods between 2.5 <br />feet and 3.5 feet of water depth above the floor. We note that a "0" foot flood has, on <br /> <br />Public Review Draft August 6, 2004 1~t 1 <br /> <br /> <br />