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            TABLE 7-3

            North  America’s  ten  largest  oil fields  in  1968 ranked  according to ultimate recoverable
            reserve estimates (from Moody et al., 1970, p. 17), with the estimates of the Zipf constant.
            Figures in millions of  barrels

                                                 Ultimate reserves   Rank x  ult. reserves
            -
             1  East Texas, Texas                5600              5600
             2  Wilmington, California           2500              5000
             3  Eunice-southward, New Mexico     2334              7002
             4  Poza Rica, Mexico                2100              8400
             5  Pembina, Canada                  1773              8865
             6  Kelly-Snyder, Texas              1683             10,098
             7  Panhandle, Texas                 1647             11,529
             8  Swan Hills, Canada               1318             10,544
             9  Elk Hills, California            1303             11,727
            10  Golden Lane, Mexico              1205             12,050


            and second columns, the Zipf  constant being 12.3 X  10’ bbl of  recoverable
            oil.
              The first result above is in reasonable agreement with the actual figures of
            35%, or  46  X  10’  bbl,  in  the  45  largest  fields,  but  the size predicted for
            Rank  45 is little more than half  the minimum  size required  for inclusion in
            this group of 45 fields.
              Moody  et al. (1970, p. 17) list the North American giants of  this group,
            and Table 7-3 shows the top-ranking ten fields from this list with their esti-
            mated  ultimate recoverable reserves and each estimate of  the Zipf  constant
            (reserves X  rank  number). Tables 7-2 and  7-3 show that the predictionsare
            not  very  good, but they suggest that the East Texas field is not the largest
            accumulation in North  America, and that Wilmington may only rank 4th or
            5th eventually.
               Zipf’s law is also applied with yet another modification. The largest field
            is taken as Rank 1; Rank 2 will have half  Rank 1’s reserves, Rank 3, one third,
            and  so  on. Table  7-4 shows the results of  manipulations on this basis. The
            results  are  not  very  convincing. This  could  be  because Zipf‘s law does not
            apply to North American (or any) oil fields, or because there were more giants
            to be found that would rank amongst the ten largest.
               In  the event, Prudhoe Bay field (which, but for an event in recent history,
            would be classified as a  Russian oil field) had  been found  before the list of
            Table 7-3 had been published in 1970, and its recoverable reserves were soon
            to be  estimated at 20 X  10’  bbl, later to be reduced to 9.6 X  lo9 bbl-  70%
            larger  than  the  East Texas field. This was to be followed  during the 1970s
            with about 44 giants in North America (Fitzgerald, 1980), and when the ulti-
            mate  recoverable  reserves of  these can be fairly  estimated, no doubt a new
            table would look different again.
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