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<br />000217 <br /> <br />7 <br /> <br />ELEMENT TASK A-l,2: REVIEW OF AGRICULTURAL RESPONSE MODELS <br /> <br />A, Description <br />The overall assignment of Element A-l is to project direct agricul- <br />tural economic impacts of alternative policies, water supply situations and <br />energy situations. This problem falls within the general framework of agri- <br />cultural production response analysis, There is a large literature on this <br />issue, The "modern" approach originated with John D, Black's (1951) analysis <br />of interregional competition in dairy production which used budgeting pro- <br />cedures, The advent of 1 inear programming theory together with the avail- <br />abil ity of digital computers had led to a large outpouring of academic <br />literature on production response analyses (Heady, et al., 1958). Recent <br />adaptations have incorporated regional consideration in supply and demand, <br />non-linear objective functions, risk aversion, etc, (H. b. Jensen, 1977), <br />Numerous adaptations to water allocation can be found in the litera- <br />ture, Those incorporating price-wise linearization of the irrigation water <br />response function are of most interest for the present study (Young and <br />Bredehoeft, 1972), <br />An issue of considerable importance for the High Plains study is to <br />design the analysis so as to model the interaction between the aquifer and <br />the water demand, This arises because the water use depends on the cost <br />of pumping, which depends on the depth to water, Water depth in subsequent <br />periods depends on previoUS demands for water. leading to a crucial inter- <br />dependency between the hydrologic and economic considerations, Burdick, <br />Martin and Young (1969) developed a procedure for model in9 this interplay, <br />