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DESCRIPTION OF THE MODEL 11 <br />diversion profiles provided in figures 4 and 5. By contrast, eval- <br />uation of the diversion profiles further reveals the presence of a <br />seasonal dependence. Because individual profiles generally are <br />not related to hydrologic condition, the variability surrounding <br />these seasonal diversions is modeled in this study as a set of <br />independent random variables; therefore, individual probability <br />distribution functions are fit to the various seasonal components <br />between days 100 to 300. For example, three probability func- <br />tions are fit and used to replicate diversion behavior for the <br />GVIC, whereas five probability functions are fit and used to <br />replicate diversion behavior for the GHC. <br />A summary of fitted probability distributions for each of <br />the streamflow diversions is presented in table 4. Because the <br />GHC delivers water to the Mesa County Irrigation District, <br />Palisade Irrigation District, Mesa County Irrigation District, <br />and Grand Valley Water Users Association, individual distribu- <br />tions are fit to each of their corresponding records. Whereas <br />the random variability of Colorado River streamflow near <br />1,200 <br />0 <br />Oz 1,000 <br />U <br />w <br />w <br />a <br />~ 800 <br />w <br />w <br />w <br />U <br />m <br />v 600 <br />z <br />z <br />O <br />~ 400 <br />w <br />O <br />~ 200 <br />0 <br />De Beque, Cameo, and Palisade reflects documented natural <br />variability, the quantity and quality of runoff in Sulphur Gulch <br />are uncertain. The primary reason for runoff uncertainty is the <br />lack of direct measurements in this ephemeral tributary. To <br />better define uncertainty that exists in the Sulphur Gulch runoff <br />component, hydrograph separation was performed using dis- <br />charge measurements from the adjacent Dry Fork watershed <br />and USGS software (Rutledge, 1998). <br />By using the computed Dry Fork baseflow hydrograph, the <br />corresponding streamflow hydrograph was normalized by <br />drainage area to obtain a unit runoff hydrograph for use in the <br />Sulphur Gulch drainage. A Weibull probability distribution was <br />fit to the corresponding derived runoff time series. Anecdotal <br />evidence in the form of debris along the canyon walls together <br />with the approximate cross sectional area provided information <br />to compute an upper bound on the probability distribution that <br />was set to 1,000 ft~/s. For a comprehensive review of mathe- <br />matical formulae describing these probability distribution <br />DAY OF YEAR <br />EXPLANATIQN <br /> Average annual hydrologic condition <br /> Dry annual hydrologic condition <br /> • Wet annual hydrologic condition <br />1974 1975 1976 1977 1978 1979 1980 <br />1981 1982 1983 ~ 1984 ~ 1985 ® 1986 1987 <br />1988 1989 1990 1991 1992 1993 1994 <br />~ 1995 1996 ®1997 1998 1999 2000 <br />Figure 4. Historical flow diversions at the Grand Valley Irrigation Canal. <br />0 100 200 300 400 <br />