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<br />1478 <br /> <br />JOURNAL OF APPLIED METEOROLOGY <br /> <br />VOLUME 20 <br /> <br />The theoretical isohyetal patterns were then re- <br />lated to observed isohyetal maps and the character- <br />istics of their structure. The observations suggested <br />a tendency for the precipitation gradient to be <br />steepest, increasing rapidly toward the storm precip- <br />itation maximum, in short-duration convective storms <br />of small areal extent. More uniform precipitation <br />gradients tend to be found in steady-type rains and <br />large, long-lasting storms. Expressed in terms of the <br />percentage of storm area containing 50% of the pre- <br />cipitation volume, the precipitation gradient' was <br />found to vary from 15 to 30%. It also was found that <br />convective raincell patterns tend to be elliptical in <br />shape. <br />Finally, the relative importance of network sam- <br />pling variance and natural storm precipitation vari- <br />ability was examined in connection with the evalu- <br />ation of precipitation augmentation experiments. <br />The sample sizes required to evaluate such experi- <br />ments due to network sampling variance alone can <br />be appreciable; however, for reasonable gage densi- <br />ties, it only contributes ~ 10% to the total sample <br />size requirement. 'Methods of obtaining reductions <br />in sample precipitation variability through the use <br />of covariates will have to be found before the use of <br />higher gage network densities is warranted. <br /> <br />Acknowledgments. The authors wish to thank <br />John Middleton and Robert Pritchard for their as- <br />sistance in obtaining the radar precipitation char- <br />acteristics of Montana convective storms and their <br />statistical properties. The authors are also indebted <br />to Dr. K, Ruben Gabriel whose critical comments <br />and constructive suggestions led to significant im- <br />provements in the clarity and quality of this paper. <br /> <br />REFERENCES <br /> <br />Court, A" 1961: Area-depth rainfall formulas, j, Geophys, Res" <br />66, 1823-1831. <br />Crane, R. K" 1979: Automatic cell detection and tracking, IEEE <br />Trans, Geosci, Electr" GE-17, 250-262, <br />Eddy, A., 1976: Optimal raingage densities and accumulation <br /> <br />/ <br /> <br />times; A decision making procedure. j, Appl. Meteor" 15, <br />962-971. <br />Fogel, M, M" and L. Duckstein, 1969: Point rainfall frequencies. <br />in convective storms, Water Resour, Res" 5, 1229-1237, <br />Gabriel, K. 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