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<br />curate and more variable as GPR decreases. 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 />
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