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<br />I <br /> <br />OI)33?~ <br /> <br />I <br /> <br />I <br /> <br />It appears that whenever low flows occur in the Poudre River drainage, <br /> <br /> <br />low flows can be expected in the other river drainages. This is unfor- <br /> <br /> <br />tunate from a water supply standpoint since it would be quite beneficial to <br /> <br /> <br />rely on excessive runoff in the surrounding watersheds whenever runoff is <br /> <br /> <br />low on the Poudre. However, just the opposite is generally the case. <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />Basic statistical analvsis of annual virgin flows <br /> <br /> <br />The historic annual virgin flows in Table 3 were statistically analyzed <br /> <br /> <br />using two different time periods: (1) the 100 years from 1884 to 1983 and <br /> <br /> <br />(2) the 73 years from 1911 to 1983. The latter was used because the <br /> <br /> <br />calculated virgin flows for the Poudre River were less accurate in the <br /> <br /> <br />early years of record (primarily due to a lack of diversion records) and <br /> <br /> <br />because statistically there was a non-homogenity at this station between <br /> <br /> <br />the early and remaining years of record. Basic statistics for the virgin <br /> <br /> <br />flows at the five gaging stations are summarized in Table 5. The results <br /> <br />are for the time period 1911 to 1983. <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />The relatively significant skewness coefficient for the Poudre River <br /> <br />(1.046) is indicative of a non-normal distribution. In fact. the Poudre <br /> <br /> <br />River annual virgin flows follow more of a log-normal distribution as <br /> <br /> <br />demonstrated by Fig. 4, a probability plot where the annual Poudre River <br /> <br /> <br />flows for the years 1884 to 1983, on a log scale, have been plotted against <br /> <br /> <br />probability of occurrence. <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />The annual virgin flows at the five gaging stations were also tested <br /> <br /> <br />for any auto-correlation with the runoff in the preceding year or years. <br /> <br /> <br />The results are summarized in Table 6.. The virgin flows were found to be <br /> <br /> <br />essentially not correlated with previous runoff, however lag 1 auto- <br /> <br />correlation coefficients of 0.137 and 0.141 were calculated for the Poudre <br /> <br /> <br />and North Fork of the Michigan rivers. respectively. These results are <br /> <br />based on data for the period 1884 to 1983. The auto-correlation coeffi- <br /> <br /> <br />cients are quite small indicating that the probability of one dry year <br /> <br /> <br />following another is only slightly greater than what could be expected from <br /> <br /> <br />a purely random standpoint. The coefficients are so small that statisti- <br /> <br />cally it can not be concluded that there is any auto-correlation at all. <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />14 <br /> <br />RE:)'OURCE: CON),ULT~NT), INC <br /> <br />I <br />