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<br />APPENDIX A <br />SENSITIVITY ANALYSIS OF FLOOD DAMAGE DATA <br /> <br />,. <br />, <br />I <br />i <br />" <br />': <br />I <br />,. <br />, <br />, <br />( <br />,. <br />, <br />, <br />, <br />\ <br />( <br />f <br />( <br />l <br />f <br />I' <br />i <br />, <br />f <br />( <br />i <br />( <br />l. <br />( <br />i <br />f <br />i <br />( <br />( <br />\ <br />I <br />I <br />f <br />i <br />( <br />i <br />i <br />t <br />,. <br />i <br />I <br />! <br />( <br />f <br />r <br />( <br /> <br />As part of this investigation into nonstructural measures it was desired to investigate the <br />n'lagnitude and sensitivity of flood damage to various hydrologic, hydraulic, and economic <br />parameters, and to evaluate the effectiveness of selected nonstructural measures to reduce <br />flood damage. The parameters investigated included the elevation-frequency relationship, <br />frequency "skew", depth-damage relationship, value of structure contents as a percentage of <br />the value of a structure, type structure, and location in the flood plain. The effectiveness of <br />selected nonstructural measures was evaluated by computing the damage reduced for several <br />levels of protection. The damage values shown in graphs and tables in this Appendix were <br />computed using generalized elevation-frequency and depth-damage data. While these values <br />are useful for screening alternative measures they should not be used in lieu of more detailed, <br />site specific data required for surveyor Phase I GDM Studies. <br /> <br />Elevation-Frequency Relationships <br />In 1970 the Federal Insurance Administration (FIA) published a series of generalized <br />elevation;frequency curves which were derived from stage-frequency curves taken from FIA <br />Flood Plain Information Reports and Corps of Engineer's Survey Reports gathered nationwide <br />(1). It is estimated some 150 to 200 curves were used. While the 1970 curves do not show the <br />actual field data, they were constructed to represent an envelope 01 these data. Each curve was <br />identified by what is termed a flood hazard lactor (FHF) which is the difference in elevation <br />between the 10-year and 100-year exceedance interval event. The flood hazard factor varies <br />from 0.5 feet to 20.0 feet in increments of 0.5 feet. Each flood hazard factor cu rve, has associated <br />with it several additional curves of different "skew". This "skew" is not the same as the skew <br />associated with log-Pearson Type III discharge-frequency analyses, rather it is developed by <br />taking percentages of the flood hazard factor and adding or subtracting these values at the 25- <br />and SOO-year exceedance intervals from a straight line through the 10- and 1M-year events. <br />Constructing the maximum positive and negative skews (skew D and I respectively) in this <br />manner gives an envelope of curves within which most of the field data lie. <br /> <br />A 1974 study by an FIA consultant used a series of elevation-frequency curves and depth- <br />damage data (provided by the FIA) to compute flood insurance rates (4). The elevation- <br />frequency curves were nearly the same as the median curves in the 1970 FIA report. These are <br />shown in Figure A-1. They were extrapolated to the annual event and are the ones used in most <br />of the analyses of this study. For purposes of identification they have been designated skew M <br />(median) in this study. A range of flood hazard factors - 1.0 to 20.0, In increments of 1.0 foot - <br />were analyzed, although only selected ones are reported. Some inconsistencies in expected <br />annual damage were observed and these are discussed more fully under "Computational <br />Accuracy" in this Appendix. <br /> <br />Depth-Damage Relationships <br />In addition to the frequency information published in 1970, the FIA also presented <br />information on depth-percent damage relationships for different type structures, with damage <br />being expressed as a percentage of the structure and contents value (1). These data use total <br /> <br />A-1 <br />