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<br />rationing agent in areas of I imited recharge. Several ways of re- <br />distributing the tax revenues are possible as long as the procedure <br />does not interfere with the rationing function of the tax. The <br />rationing function can be met so long as the redistribution of revenue <br />is not tied to ground-water withdrawal rates of the farmers. Research <br />is needed on such models to determine a politically acceptable procedu~e. <br /> <br />Dr. Biere recognized the ~roblem'of acceptance of his philosoph~ and <br />suggested studies on importing water and artificial rechargi. On the <br />other hand, where importation and artificial recharge are not <br />economically feasible, institutions should be developed ~o economically <br />ration the available resourc~s. In conclusion, he discussed briefly <br />SOme of the decision models used in resource management and commented or " <br />the versati I ity of such models in planning or decision strategy: ' <br /> <br />" <br /> <br />" <br /> <br />Following the seminar, Dr. Biere was requested to'amplify ,his <br />comments regarding the common property nature of aquifers. <br /> <br />'~he problem bfoverdraft is accentuated by the common-property <br />character of the aquifer. . It is common property because water <br />rights are held jointly until the individual captures the water,' <br />through pumping. Since the rights are held in common, no <br />individual would be expected to' account for the cost of re'delcing <br />water supply in the a'quifer. The result is that, in the aggregate, <br />water is consumed at a rate whi'ch is greater than the socially <br />optimal rate. <br /> <br />To see this, one needs only to note the behavior of an <br />individual pumper who obeys the assumptions' of marginal <br />analysis. With each productive process where water is an <br />input, there is associated a value of marginal product <br />schedule for water. This'value of marginal product schedule <br />is also the enterpreneur's water demand schedule indicating <br />how much he is wi 11 ing to pay 'for an additional unit of water' <br />as an input. Not all of the water withdrawn is used in produc- <br />tion. Some is consumed directly. A demand curve for water also <br />exists for these consumers. The supply curve for,any pumper <br />is the short run marginal pumping cost curve, as it represents <br />the additional cost of supplying another unit of water. Each <br />, ' <br />pumper wi II pump that quanti ty for which the cost of pumpi'ng <br />the last increment is equal, to the value of this last increment. <br />The difficulty is that pumpers fai I to recognize all of the" <br />'variable costs associated'with the withdrawal of water from <br />the aquifer. The pumper perceives all costi associated ~ith his <br />pumping unit, but he fails to recognize that his action will <br />increase the pumping cost of other pumpers. Hence, private <br />marginal cost, which does not 'recognize these external costs, <br />is less than social marginal cost, which includes these <br /> <br />16. <br />