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Ga- <br />briel's comparison of the results from the two <br />sampling methods illustrates this effect. The differ- <br />ences between the results are very large for very large <br />values of GPR, systematically decrease as GPR de- <br />creases to a value of one, and change sign as GPR <br />decreases further. <br /> <br />5. Comparison with observations <br /> <br />A search of the hydrometeorologicalliterature was <br />made to obtain information on observed isohyetal <br />patterns with which to relate the theoretical patterns <br />to the "real-world" domain. The results of this study <br />(Section 3) showed that storm precipitation gradient, <br />area, and shape were of primary interest. The re- <br />ported data were of two types: 1) area-depth rela- <br />tionships from which the required information could <br />be mathematically derived, and 2) isohyetal maps <br />from which the required information could be graph- <br />ically derived. The primary sources of data on area- <br />depth precipitation relationships were Court (1961) <br />who provided a summary of work by half a dozen <br />investigators in the United States and Europe, Huff <br />(1968a) who summarized 11 years of hydrometeo- <br />rological research on heavy storm rainfalls in Illinois, <br />Huff (1967) who discussed rainfall gradients in Il- <br />linois warm-season storms, and Fogel and Duckstein <br />(1969) who considered convective rainfall in Ari- <br />zona. Selected isohyetal maps from METROMEX4 <br />and HIPLEXs were planimetered to obtain the'sec- <br />ond type of data. Precipitation characteristics of <br />Florida showers and thunderstorms reported by <br />Woodley et al. (1971, 1975) were also used. Table <br />2 summarizes the relevant storm precipitation char- <br />acteristics derived from both types of data. <br />It can be seen from Table 2 that the data span a <br />wide range of physical locations and storm types, <br />sizes, and durations. This range of observed raincell <br />characteristics appear to be adequately represented <br />by the model raincells we have studied. All values <br />of G are between 0.4 and 2.25 (Aso between 0.29 and <br />0.1). Thus, observed precipitation gradients range <br />from approximately linear to those that increase to- <br />ward the precipitation maximum. Observed shapes <br />tend to be elliptical with average values of E ranging <br />from 1 to 3. <br />Court (1961) concluded that area-depth formulas <br />he examined indicated that short-duration storms <br />tend to have steeper precipitation gradients than <br />those of longer duration and larger area. Huff <br />(1968a) indicated that a uniform precipitation gra- <br /> <br />4 S, A, Changnon and R. G. Semonin, Eds. 1975, Studies of <br />Selected Precipitation Cases from METROMEX, ISWS RI-81/ <br />75, Rep. ofInvestigation 81,I11inois State Water Survey, Urbana, <br />5 Middleton, J, R., 1978: Radar observed characteristics of sum- <br />mertime echoes in eastern Montana, Preprints 18th Con! on Ra- <br />dar Meteorology, Atlanta, Georgia, Amer, Meteor, Soc., 159-164, <br />