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<br />MARCH 1973
<br />
<br />H. J. MOREL-SEYTOUX AND F, SAHEL I
<br />
<br />334
<br />
<br />TABLE 7. Covariance matrix for stations in control. Units: 105 (mi2 X inches)2.
<br />
<br />Control Control stations CSU numbers
<br />stations
<br />CSU
<br />numbers 1590000 1371810 1373055 1373360 1377200 1377280 1378100 1379000 14-25625 1370300 1740000
<br />1590000 165,185 2,539 68,019 6.473 32,503 10,034- 4-6,84-2 23,754- 8,448 3.796 53.764-
<br />1371810 2.539 0,84-8 1.4-23 0.14-0 0,64-0 0,191 0,790 0,370 0,228 0.124- 0,588
<br />1373055 68,019 1.4-23 33,821 3,368 15,04-5 4-,540 20.004 9.668 4,724 2,316 19,689
<br />1373360 6.473 0.140 3,368 0,393 1.583 0,479 1.865 0,905 0,501 0,263 1.795
<br />1377200 32,503 0,64-0 15,045 1.583 8.411 2,555 9,307 4.826 2,258 1.137 10,269
<br />1377280 10,034 0,191 4,54-0 0,479 2,555 0,811 2,871 1.482 0.664- 0.333 3,329
<br />1378100 46.842 0.790 20,004 1.865 9,307 2,871 14,250 7,015 2.372 1.074 15,239
<br />1379000 23,754 0,370 9,668 0.905 4,826 1.482 7,015 3,827 1.148 0,461 7.730
<br />1425625 8,448 0,228 4,724 0,501 2,258 0,664 2,372 1.14-8 0.856 0,420 2,108
<br />1370300 3,796 0,124 2,316 0,263 1.137 0.333 1.074 0,461 0,420 0,270 1. 003
<br />1740000 53.764- 0,588 19,689 1.795 10,269 3,329 15.239 7.730 2.108 1. 003 22,824
<br />
<br />
<br />will be presented in a separate paper (Saheli and
<br />Morel-Seytoux, 1973). Because the problem is highly
<br />nonlinear several local minima exist and it is necessary
<br />to initiate the algorithm at different initial feasible
<br />points.
<br />
<br />6. Results for the Colorado River Basin Pilot
<br />Project
<br />
<br />Tables 5-7 show the calculated covariance matrices
<br />based on 30 years of available records for the period
<br />1939-68 inclusive. Records were corrected for regulation
<br />and diversion when needed. The needed f:1Qi values
<br />
<br />have already been given in Table 4. Three sets of
<br />calculations were performed for the two possible
<br />situations (i.e., the entire target area is seeded and the
<br />control area is the one shown in Fig. 2, or only zone 1
<br />or zones 1 and 2 of the target area are seeded and zones
<br />3 and 4 are used as controls (see Fig. 1).
<br />
<br />a. Entire target area is seeded
<br />
<br />Tables 8 and 9 summarize two combinations which
<br />are essentially as good. The improvement over the use
<br />of weights all equal to 1 is drastic. Fig. 10 shows the
<br />regression line between the total target runoff (stations
<br />
<br />TABLE 8. Optimal combination of stations in the target (San Juan Mountains) and the control (Maroon Peak),
<br />
<br /> Number of
<br /> existing years
<br /> of record Gage Drainage Weight
<br />CSU Location within elevation area factor
<br />number Station name (Basin) (1939-68) (ft) (mi2) X
<br /> Stations in target
<br />1371520 Uncompahgre River at Uncompahgre 30 6318,80 4-37,0 5,14-2
<br /> (near) Colona
<br />1077250 Rio Blanco near Rio Blanco 30 7950,00 58,0 2,585
<br /> Pagosa Springs
<br />10734-80 Animas River at Animas 30 9616,00 55,9 17,249
<br /> HowardsvilJe
<br />10734-08 Animas River near Animas 30 5960,00 1090,0 1.217
<br /> Cedar hill
<br /> Stations in control
<br />1590000 Roaring Fork at Crystal 30 5720,70 1460,0 0,298
<br /> Glenwood Springs
<br />1373055 North Fork Gunnison River North Fork 30 6038,60 521.0 - 2,608
<br /> near Crawford Gunnison
<br />1373360 Smith Fork near North Fork 30 7200,00 4-2,3 -13,927
<br /> Crawford Gunnison
<br />1377200 Tomichi Creek at Tomichi Creek 30 5720,70 1020,0 11.920
<br /> Sargen ts
<br />1378100 East River at East River 30 8008,29 295,0 9,628
<br /> Almont
<br />1379000 Taylor River below Taylor 30 9168,67 254,0 -3.597
<br /> Taylor Park Reservoir
<br />1425625 Bm:zard Creek near Plateau Creek 30 6920,00 139,0 4,068
<br /> Collbran
<br />1370300 Kannah Creek near Kannah River 30 61.9 62,538
<br /> White River
<br />1 740000 Blue River below Blue River 30 7510,00 623,0 -4-,056
<br /> Green Mountain Reservoir
<br />Minimum number of years with optimal X's is 3,8",,4- years.
<br />Minimum number of years with all X's= 1 is 99 years,
<br />
<br />I
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