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Linear Response Stochastic Plateau Functions

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  • Tembo, Gelson
  • Brorsen, B. Wade
  • Epplin, Francis M.

Abstract

A method of estimating a linear response stochastic plateau function is developed and used to determine optimal levels of nitrogen fertilization for wheat. Under the stochastic plateau model, optimizing behavior implies different nitrogen levels than the linear plateau model, depending on the output/input price ratio relative to a threshold level.

Suggested Citation

  • Tembo, Gelson & Brorsen, B. Wade & Epplin, Francis M., 2003. "Linear Response Stochastic Plateau Functions," 2003 Annual Meeting, February 1-5, 2003, Mobile, Alabama 35217, Southern Agricultural Economics Association.
    • Handle: RePEc:ags:saeatm:35217
    DOI: 10.22004/ag.econ.35217
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    References listed on IDEAS

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    1. Pautsch, Gregory R. & Babcock, Bruce A. & Breidt, F. Jay, 1999. "Optimal Information Acquisition Under A Geostatistical Model," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 24(2), pages 1-25, December.
    2. Llewelyn, Richard V. & Featherstone, Allen M., 1997. "A comparison of crop production functions using simulated data for irrigated corn in western Kansas," Agricultural Systems, Elsevier, vol. 54(4), pages 521-538, August.
    3. Michael D. Frank & Bruce R. Beattie & Mary E. Embleton, 1990. "A Comparison of Alternative Crop Response Models," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(3), pages 597-603.
    4. Earl O. Heady & John Pesek, 1954. "A Fertilizer Production Surface with Specification of Economic Optima for Corn Grown on Calcareous Ida Silt Loam," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 36(3), pages 466-482.
    5. Kyle W. Stiegert & Thomas W. Hertel, 1997. "Optimal Capacity in the Anhydrous Ammonia Industry," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(4), pages 1096-1107.
    6. Quirino Paris, 1992. "The von Liebig Hypothesis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 74(4), pages 1019-1028.
    7. Bruce A. Babcock, 1992. "The Effects of Uncertainty on Optimal Nitrogen Applications," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 14(2), pages 271-280.
    8. Peter Berck & Gloria Helfand, 1990. "Reconciling the von Liebig and Differentiable Crop Production Functions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(4), pages 985-996.
    9. Robert G. Chambers & Erik Lichtenberg, 1996. "A Nonparametric Approach to the von Liebig-Paris Technology," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(2), pages 373-386.
    10. Quirino Paris & Keith Knapp, 1989. "Estimation of von Liebig Response Functions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(1), pages 178-186.
    11. Grimm, Sadi S. & Paris, Quirino & Williams, William A., 1987. "A Von Liebig Model For Water And Nitrogen Crop Response," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 12(2), pages 1-11, December.
    12. Edgar A. Lanzer & Quirino Paris, 1981. "A New Analytical Framework for the Fertilization Problem," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 63(1), pages 93-103.
    13. Paul R. Johnson, 1953. "Alternative Functions for Analyzing a Fertilizer-Yield Relationship," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 35(4), pages 519-529.
    14. Alain De Janvry, 1972. "Optimal Levels of Fertilization Under Risk: The Potential for Corn and Wheat Fertilization Under Alternative Price Policies in Argentina," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 54(1), pages 1-10.
    15. Fatemi Ghomi, S. M. T. & Hashemin, S. S., 1999. "A new analytical algorithm and generation of Gaussian quadrature formula for stochastic network," European Journal of Operational Research, Elsevier, vol. 114(3), pages 610-625, May.
    16. Peter Kennedy, 2003. "A Guide to Econometrics, 5th Edition," MIT Press Books, The MIT Press, edition 5, volume 1, number 026261183x, December.
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    Cited by:

    1. Roberts, David C. & Brorsen, B. Wade & Raun, William R. & Solie, John B., 2008. "The Value of Regional Annual Nitrogen Needs Information for Wheat Producers in Oklahoma," 2008 Annual Meeting, February 2-6, 2008, Dallas, Texas 6734, Southern Agricultural Economics Association.
    2. Simeon Kaitibie & William E. Nganje & B. Wade Brorsen & Francis M. Epplin, 2007. "A Cox Parametric Bootstrap Test of the von Liebig Hypotheses," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 55(1), pages 15-25, March.
    3. Brorsen, B. Wade, 2013. "Using Bayesian Estimation and Decision Theory to Determine the Optimal Level of Nitrogen in Cotton," 2013 Annual Meeting, February 2-5, 2013, Orlando, Florida 142951, Southern Agricultural Economics Association.

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