Research on Irrigation Water Demand Estimates of the demand function for irrigation water and its price elasticises have commonly been basedon mathematical programming, especially linear programming. The early studies such as Moore and Hedges,1963, often intended to show that the demand is more price responsive than generally believed, and that even forlow prices it is not perfectly inelastic as the U.S. Bureau of Reclamation had claimed in the past. Later studies haveconstructed sub-regional or regional demand functions from models of representative farms, and commonlycalculated responsiveness by either arc-elasticity estimates along the stepped demand curve or by calculatingelasticity after fitting continuous regression equations to the parametric data. The results typically show either an inelastic estimate for the whole price range considered, or an inelasticestimate for the lower prices and a less inelastic or elastic estimate for the higher prices (Shumway et al. 1984).During the 1970s and early 1980s estimates of irrigation water demands and their shape have also beendeveloped with statistical crop-water production functions based on data from field crops experiments conducted atstate experiment stations (Hexem and Heady 1978); (Ayer and Hoyt 1981), and (Kelley and Ayer 1982). Demandfunctions were constructed using an output price and varying the cost of water. Elasticity estimates based on fieldexperiments generally are relatively unresponsive to price changes.
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