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Land Allocation under Uncertainty for Alternative Specifications of Return Distributions


  • Robert N. Collender
  • David Zilberman


Using the expected utility-moment-generating function approach, a land allocation rule is derived which is both independent of the nature of the underlying distribution of each element in the choice set and accounts for all moments of that distribution. This decision rule is applied to the choice between cotton and corn in the Mississippi Delta to demonstrate that consideration of just the first two moments of the distribution can often be unjustified and damaging empirically, theoretically, and in terms of the utility of the decision maker.

Suggested Citation

  • Robert N. Collender & David Zilberman, 1985. "Land Allocation under Uncertainty for Alternative Specifications of Return Distributions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(4), pages 779-786.
  • Handle: RePEc:oup:ajagec:v:67:y:1985:i:4:p:779-786.

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    Cited by:

    1. Alfons Oude Lansink, 1999. "Area Allocation Under Price Uncertainty on Dutch Arable Farms," Journal of Agricultural Economics, Wiley Blackwell, vol. 50(1), pages 93-105, January.
    2. Sergio H. Lence & Dermot J. Hayes, 1994. "The Empirical Minimum-Variance Hedge," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(1), pages 94-104.
    3. Nelson, Carl H. & Ndjeunga, Jupiter, 1997. "Elliptical Symmetry, Expected Utility, And Mean-Variance Analysis," ACE Reports 14795, University of Illinois at Urbana-Champaign, Department of Agricultural and Consumer Economics.
    4. Pablo C. Benítez & Timo Kuosmanen & Roland Olschewski & G. Cornelis van Kooten, 2006. "Conservation Payments under Risk: A Stochastic Dominance Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(1), pages 1-15.
    5. Chalfant, James & Collender, Robert N. & Subramanfar, Shankar, 1988. "The Mean and Variance of the Mean-Variance Decision Rule," CUDARE Working Papers 198476, University of California, Berkeley, Department of Agricultural and Resource Economics.
    6. Levy, Amnon, 2005. "Health-Risking Informal Service: Price, Prevalence and Law Enforcement," Economics Working Papers wp05-13, School of Economics, University of Wollongong, NSW, Australia.
    7. Annou, Mamane Malam & Wailes, Eric J. & Thomsen, Michael R., 2005. "A Dynamic Decision Model of Technology Adoption under Uncertainty: Case of Herbicide-Resistant Rice," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 37(1), pages 1-12, April.
    8. Dolores Rey & Alberto Garrido & Javier Calatrava, 2016. "Comparison of Different Water Supply Risk Management Tools for Irrigators: Option Contracts and Insurance," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(2), pages 415-439, October.
    9. Cheng, Mei-luan & Gloy, Brent A., 2008. "The Paradox of Risk Balancing: Do Risk-reducing Policies Lead to More Risk for Farmers?," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6546, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    10. Babcock, Bruce A. & Choi, E. Kwan & Feinerman, Eli, 1993. "Risk And Probability Premiums For Cara Utility Functions," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 18(1), pages 1-8, July.
    11. Elamin H. Elbasha, 2005. "Risk aversion and uncertainty in cost‐effectiveness analysis: the expected‐utility, moment‐generating function approach," Health Economics, John Wiley & Sons, Ltd., vol. 14(5), pages 457-470, May.
    12. Babcock, Bruce A. & Chalfant, James A. & Collender, Robert N., 1987. "Simultaneous Input Demands And Land Allocation In Agricultural Production Under Certainty," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 12(2), pages 1-9, December.
    13. Tew, Bernard V. & Reid, Donald W., 1988. "Probability Distributions Of Crop Prices, Yields, And Gross Revenue," Northeastern Journal of Agricultural and Resource Economics, Northeastern Agricultural and Resource Economics Association, vol. 17(2), pages 1-7, October.
    14. Onur Boyabatlı & Javad Nasiry & Yangfang (Helen) Zhou, 2019. "Crop Planning in Sustainable Agriculture: Dynamic Farmland Allocation in the Presence of Crop Rotation Benefits," Management Science, INFORMS, vol. 67(5), pages 2060-2076, May.
    15. Reid, Donald W. & Tew, Bernard V., 1987. "An Evaluation Of Expected Value And Expected Value-Variance Criteria In Achieving Risk Efficiency In Crop Selection," Northeastern Journal of Agricultural and Resource Economics, Northeastern Agricultural and Resource Economics Association, vol. 16(2), pages 1-9, October.
    16. Tsai, Grace Yueh-Hsiang, 1989. "A dynamic model of the U.S. cotton market with rational expectations," ISU General Staff Papers 1989010108000012168, Iowa State University, Department of Economics.
    17. Sauer, Johannes & Finger, Robert, 2014. "Climate Risk Management Strategies in Agriculture – The Case of Flood Risk," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 172679, Agricultural and Applied Economics Association.

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