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<br />N <br />t- <br />oo <br /> <br />. 222 2 <br />Here var~ances for the periods k and N are Syk' Sxk' Syn' and Sxn' <br /> <br />and rk i$ the correlation coefficient. As an example of this adjust- <br />ment, th~ standard deviation for January of the Colorado River near <br />Cameo for 1942-1956 (S k) was 200. Records for Cisco produced a <br />long term standard devlation of 613 (S n) and a 1942-1956 value of <br />337 (Sxk)' Correlation analysis for tEe 1942-1956 period indicated <br />the correlation coefficient was 0.95. The estimated long period <br />standard deviation was calculated as <br /> <br />..,;.. <br /> <br />1/2 <br />S = [2002 - 0,95 200 (3372-6132) ] = 434 <br />yn 337 <br /> <br />This adjQstment was performed when applicable to estimate the long <br />term monthly variance at several stations in the basin. The detailed <br />calculations are not reproduced in this report. <br /> <br />In addition to the procedure above, it was occasionally necessary to <br />further revise estimates of monthly standard deviations. This occurred <br />when there was a large discrepancy between the synthetic values and <br />those de4med reasonable for the common period. This effect may be attrib- <br />uted to there1ationship not being linear as had been assumed. <br /> <br />The ComPrehensive Framework Studies estimate of depletions and <br />availabl~ flows above the Lee Ferry Compact Point was adjusted for <br />evaporat~on losses at Fontenelle and Navajo Reservoirs and the <br />estimate4 average 23,000 acre-foot Paria River .flow. The obtained <br />adjusted ~a1ues for use in the model were as follows: <br /> <br />Area <br /> <br />1965 1 eve1 <br />depletions <br /> <br />1914-1965 average <br />available flow <br /> <br />I <br />\ <br /> <br />Green River subregion <br />Upper ~in Stem subregion <br />San J~n subregion <br />Upper ~oIorado Region <br />(a t Lees Ferry) <br /> <br />12,086,000 <br /> <br />978,000 AF <br />1,397,000 <br />387,000 <br /> <br />4,482,000 AF <br />5,409,000 <br />2,196,000 <br /> <br />2,763,000 <br /> <br />For the stochastic data base it was assumed that all the changes in <br />depletions to the 1965 level occurred above the key gaging stations: <br />Green River at Green River, Utah; Colorado River near Cisco, Utah; <br />and San J~an River at Bluff, Utah. With this assumption, the <br />followingiaverages were obtained: <br /> <br />21 <br /> <br />