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<br />very robust to departures from its inhcrent assumptions and approximate results from re- <br />randomization analyscs extremely well, The bias-adjusted RR values are dcsignated as RRA. <br />The results of the evaluation for the water year streamtlow for all the targets listed in <br />Table 1 are presented in Table 3. In addition to showing the valuc of RRA , the 90% confidcnce <br />interval and the level of confidence that the secding elTect was positive (;?: 0%) are shown, The <br />Icvel of confidence that thc annual averagc seeding effect is 2: I % is also shown, It has been <br />conscrvatively assumed that a 1 % increase is nceded to onset the annual cost of the seeding <br />opcrations so the level of confidence that the annual average sceding effect is 2: 1% is taken as an <br />indicator of the cost-cffectiveness of the seeding operations. lIendcrson (2003a) has shown that <br />the benelit-to-cost ratio of increasing streamflow by I % through the snowpack augmentation <br />programs under consideration in this study is ab()Ut 6,8: I, so a thrcshold of cost efTectivcness of <br />1% is very conscrvative indeed. It is emphasized that the calculations could be done for any <br />specified threshold of cost effectiveness. <br /> <br />Tahle 3, Results of the evaluation of the operational seeding programs ovcr their respcctivc <br />periods of record, Results arc given for thc proportional elTect of seeding, 0(%) = 100*(RRA.I), <br />where RRA is the bias-adjusted Regression Ratio, Po is the probability (%) that 0 2: 0%, and PI is <br />the probability (%) that 0 2: 1% (the hypothetical threshold of cost efTectiveness). <br />Operational Seeding Program <br />Lake Uppcr Mokelumne Eastern Kings <br />Almanor American River Sierra Rivcr <br />FPR SCU MMF OWL KGF <br />39 24 50 26 49 <br />1954-92 1969-92 1954~03 1978-03 1955-03 <br />+9,5 + 10,1 + 10,1 -0.5 +3.0 <br /> <br />Statistical Resuh <br />No Ycars Seeded <br />Evaluation Period <br />0(%) <br />90% Conf Interval <br />LB(%) <br />UB(%) <br />0%$0$ UB (%) <br />Confidence (%) <br />UB(%) <br />Po <br />P, <br /> <br />Kawcah <br />River <br />KWT <br />28 <br />1976-03 <br />+0.9 <br /> <br />Kern <br />River <br />KRI <br />26 <br />1978-03 <br />-1.4 <br /> <br />+1.5 +{J.6 +1.7 <br />+18,2 +20.4 +19.2 <br />95.0 92.3 95.4 <br />+19.9 +21.1 +21.2 <br />97.5 96.1 97.7 <br />95.9 94.1 96.3 <br /> <br />-6.1 <br />+5,5 <br /> <br />-2.7 -7.3 <br />+9.0 +9.7 <br />59.9 14.6 <br />+6,] +1.7 <br />80.0 57.3 <br />71.6 49,1 <br /> <br />-12.2 <br />+10.3 <br /> <br />44.2 <br />H <br /> <br />41.0 <br />36.1 <br /> <br />It can be seen from Table 3 that the Lake Almanor, Uppcr American and Mokelumne <br />River operational seeding programs experienccd the most positive seeding effects \vith the <br />strongest statistical support. The 90% contidcnce interval lor all the other operational seeding <br />programs included the null efTect even though the Kaweah River and Kings River programs <br />indicated a small positive seeding elTect. What is striking about this result is that the Lake <br />Almanor and Upper American evaluations, due to the limitations in available FNF data for thosc <br />targets, were conducted after water year 1992 while thc others wcrc conducted al1er \'...ater year <br />2003. To investigate the significance of this finding, a variation of the ratio statistics evaluation <br />method was used to rcveal the time evolution of the seeding cfTect. A progressive statistical <br />evaluation using ratio statistics. called thc cumulati....e year statistical evaluation. was conductcd <br />whereby the secding is evaluated as a function of the cumulative number of years of seeding <br />operations (initially the first 5 operational years. then the first 6 opcrational years, then the first 7 <br />operational years. ... . and finally all operational years). A signilicant change in trend in the plot <br /> <br />40 <br />