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<br />SUMMARY <br /> <br />Annual maximum precipitation data for Cheyenne, Wyoming, have been <br />collected for durations of 5, 10, 15, and 30 minutes, and 1 and 2 hours <br />since 1902 and continuing to the present. Annual maximum precipitation data <br />for 24-hour duration have been collected beginning as early as 1871. Data <br />were plotted and analyzed using three different assumptions: (1) The data <br />could be described by an arithmetic Gumbel distribution; (2) the logarithms <br />of the data could be described by a Gumbel distribution; and (3) the <br />logarithms of the data could be described by a Pearson Type III <br />distribution. For each of these distributions, the data were examined <br />twice. First, the "previously definedll precipitation-freqency curve was <br />developed, us ing data collected before 1985. Updated curves were then <br />developed, using all data collected through 1986, in order to examine the <br />effect that the large thunderstorm of August 1, 1985, had on the predicted <br />magnitude of storms of long recurrence interval. The inclusion of the storm <br />of August 1, 1985, had the most noticeable effect on the prediction of the <br />amount of precipitation expected in the 1- and 2-hour durations, and the <br />least noticeable effect on the prediction of the amount of precipitation <br />expected in the 10- and 15-minute durations, regardless of which <br />distribution was assumed to describe the data. The predicted magnitude of <br />storms was similar (within 10 percent) for all distributions for storms of <br />less than 25-year recurrence interval. Predicted magnitude of storms with <br />extremely long recurrence intervals varied greatly depending on which <br />distribution was assumed to describe the data. The skewness both of the <br />arithmetic and of the logarithmically transformed data was different than <br />the value of 1.14 assumed in the Gumbel distribution, which caused the <br />Gumbel distribution to underpredict--and the log-Gumbel distribution to <br />overpredict--the amount of precipitation expected for a given recurrence <br />interval. Therefore, the log-Pearson Type III distribution was considered <br />the most suitable for describing the Cheyenne preCipitation data. <br /> <br />Four different methods of analysis were <br />intensity-duration curves for the 100-year storm. <br />pared to the observed curve for the August 1, 1985, <br />greater than 30 minutes, the observed curve indicates <br />do five of the seven calculated curves. <br /> <br />used to develop seven <br />These curves were com- <br />storm. For durations <br />greater, intensity than <br /> <br />Dimensionless hyetographs were developed for 10 flood-producing storms <br />that have occurred in the Cheyenne area since 1903. Pattern index (integral <br />of the dimensionless hyetograph curve) was calculated, and the index for the <br />storm of August 1, 1985, is three standard deviations lower than the mean of <br />the pattern indices for the other nine storms, indicating that the distribu- <br />tion of precipitation over time for the August 1 storm was outside the <br />normal range for Cheyenne. <br /> <br />43 <br />