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<br />precipitation. The area of influence of each station is obtained by <br /> <br /> <br />constructing polygons determined by drawing perpendicular bisectors to <br /> <br /> <br />lines connecting the stations, as shown in fig. 2.02b. The bisectors are <br /> <br /> <br />the boundaries of the effective area for each station. The area inclosed <br /> <br /> <br />by each polygon is measured, and weighted average precipitation for the <br /> <br /> <br />total area is computed by multiplying the precipitation at each station by <br /> <br /> <br />the proportion of the total area within its polygon and adding the products. <br /> <br /> <br />The results are usually considered to be more accurate than those obtained <br /> <br /> <br />by simple arithmetic averaging. However, this method may require exten- <br /> <br /> <br />sive computation, since a new Thiessen diagram is required for each change <br /> <br /> <br />of station network, and the wethod does not account for orographic influ- <br /> <br /> <br />ences or the erratic nature of precipitation. <br /> <br />Isohyetal Method <br /> <br />A more accurate method of averaging precipitation over an area and, <br /> <br /> <br />at the same time, showing the areal variation, is the isohyetal method. <br /> <br />A precipitation-depth contour map is determined by plotting station pre- <br /> <br /> <br />cipitation and constructing lines of equal precipitation called isohyets, <br /> <br /> <br />as illustrated in fig. 2.02c. Average depths are obtained by measuring <br /> <br /> <br />the areas between adjacent isohyets. Each increment of area is multiplied <br /> <br /> <br />by the estimated average precipitation depth for that area. The separate <br /> <br /> <br />terms are then added and the sum is divided by the total area to obtain <br /> <br /> <br />the average depth. The isohyetal method permits the use and interpreta- <br /> <br /> <br />tion of all available data and is well adapted for display and examina- <br /> <br /> <br />tion. In constructing an isohyetal map, the engineer can make full use <br /> <br /> <br />of his knowledge of orographic effects and storm morphology, and in this <br /> <br /> <br />way the final map should represent a more realistic precipitation estimate <br /> <br /> <br />than could be obtained from the gaged amounts alone. The accuracy of <br /> <br /> <br />the isohyeta1 method is, to a large degree, dependent upon the skill of <br /> <br />the engineer performing the analysis. If linear interpolation between <br /> <br /> <br />stations is used, the results will be essentially the same as those <br /> <br /> <br />obtained with the Thiessen method. In mountainous areas, systematic <br /> <br />2-05 <br />