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A Control Theory Approach to Optimal Irrigation Scheduling in the Oklahoma Panhandle

Published online by Cambridge University Press:  28 April 2015

Thomas R. Harris  and
Harry P. Mapp Jr.
Thomas R. Harris
Affiliation:
Department of Agricultural Economics, Oklahoma State University
Harry P. Mapp Jr.
Affiliation:
Department of Agricultural Economics, Oklahoma State University
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Extract

Climatic conditions in semiarid regions like the Oklahoma Panhandle result in wide fluctuations in rainfall, dryland crop yields, and returns to agricultural producers in the area. Irrigated crop production increases peracre yields and significantly reduces fluctuations in yields and net returns.

Irrigated production of food and fiber in the Oklahoma Panhandle has developed rapidly during the past three decades, increasing from 11,500 to 385,900 acres since 1950 (Schwab). The primary source of irrigation water in the area is the Ogallala Formation, an aquifer underlying much of the Great Plains region. Until the past couple of years, the presence of relatively low cost natural gas led producers to expand irrigated production and apply high levels of water to crops irrigated in the area.

Type
Research Article
Information
Journal of Agricultural and Applied Economics , Volume 12 , Issue 1 , July 1980 , pp. 165 - 171
Copyright
Copyright © Southern Agricultural Economics Association 1980

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References

Arkin, G. F., Vanderlip, R. L., and Ritchie, J. T.. “Dynamic Grain Sorghum Growth Model.” Trans. Amer. Soc. Agr. Econ. 19(1976):622–6.CrossRefGoogle Scholar
Arrow, K. W. “Applications of Control Theory to Economic Growth,” Mathematics of the Decision Sciences, Part 2. American Mathematics Society, 1968.Google Scholar
Bekure, S. E. and Eidman, V. R.. “Intertemporal Allocations of Ground Water in the Central Ogallala Formation: An Application of a Multistage Sequential Decision Model.” S. J. Agr. Econ. 3(1971):155–60.Google Scholar
Benavie, A.Mathematical Techniques for Economic Analysis. Englewood Cliffs, N.J.: Prentice-Hall, Inc. 1972.Google Scholar
Box, M. J. “A New Method of Constraint Optimization and a Comparison with Other Methods.” Computer J. 8(1965):42–52.CrossRefGoogle Scholar
Burt, O. R. “Economic Control of Ground Water Reserves.” J. Farm Econ. 48(1966):632–47.CrossRefGoogle Scholar
Chow, G. C. “An Approach to the Feedback Control for Nonlinear Econometric Systems.” Amer. Econ. and Soc. Meas. 5(1976):297–309.Google Scholar
Dorfman, R. “An Economic Interpretation of Optimal Control Theory.” Amer. Econ. Rev. 59(1969): 817–31.Google Scholar
Hooke, R. and Jeeves, T. A.. “Direct Search Solution of Numerical and Statistical Problems.” J. Assoc. Comp. Mach. 8(1961):212–29.CrossRefGoogle Scholar
Kirk, D. E.Optimal Control Theory: An Introduction. Englewood Cliffs, N.J.: Prentice-Hall, Inc., 1970.Google Scholar
Neider, J. A. and Mead, R.. “A Simplex Method for Function Minimization.” Computer J. 7(1964): 308–13.Google Scholar
Pedgen, C. D. and Gately, M. P.. “A Decision Optimization Module for SLAM.” Department of Industrial and Systems Engineering, University of Alabama in Huntsville, 1979.Google Scholar
Richardson, J. W., Ray, D. E., and Trapp, J. N.. Illustrative Applications of Optimal Control Theory Techniques to Problems in Agricultural Economics. Dep. Agr. Econ. B-739, Oklahoma State University, 1979.Google Scholar
Rosenbrock, H. H. “An Automatic Method for Finding the Greatest or Least Value of a Function.” Computer J. 8(1960):175–84.CrossRefGoogle Scholar
Schwab, D.1977 Irrigation Survey Oklahoma. Department of Agricultural Engineering, Oklahoma State University, 1977.Google Scholar
Trapp, J. N. “Peanut Market Structure: An Analysis of Its Influence Upon Peanut Policy Tradeoffs.” Mimeographed. Stillwater, Okla.: Oklahoma State University, 1977.Google Scholar
Zaveleta, L. R., Lacewell, R. D., and Taylor, C. R.. Economically Optimum Irrigation Patterns for Grain Sorghum Production: Texas High Plains. Tex. Water Resource Inst. TR-100, Texas A&M University, 1979.Google Scholar