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Comparing the Value of Soil Test Information Using Deterministic and Stochastic Yield Response Plateau Functions

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  • Harmon, Xavier
  • Boyer, Christopher N.
  • Lambert, Dayton M.
  • Larson, James A.
  • Gwathmey, C. Owen

Abstract

We determined the value of soil test information for potassium (K) in upland cotton production using the linear response plateau (LRP) and linear response stochastic plateau (LRSP) functions. A stochastic dynamic programming model was used to determine the net present value to K fertilizer when optimal K was applied with knowledge about K carryover. Using K carryover information for K application decisions increased net present value and helped maintain steady levels of soil K. The LRSP function fit the data better than the LRP, and the value of soil testing was $27 ha-1 lower over ten years using the LRSP.

Suggested Citation

  • Harmon, Xavier & Boyer, Christopher N. & Lambert, Dayton M. & Larson, James A. & Gwathmey, C. Owen, 2016. "Comparing the Value of Soil Test Information Using Deterministic and Stochastic Yield Response Plateau Functions," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 41(2), May.
    • Handle: RePEc:ags:jlaare:235192
    DOI: 10.22004/ag.econ.235192
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    References listed on IDEAS

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    1. Richard E. Just & Quinn Weninger, 1999. "Are Crop Yields Normally Distributed?," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(2), pages 287-304.
    2. M. S. Stauber & Oscar R. Burt & Fred Linse, 1975. "An Economic Evaluation of Nitrogen Fertilization of Grasses When Carry-over is Significant," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 57(3), pages 463-471.
    3. Tumusiime, Emmanuel & Brorsen, B. Wade & Mosali, Jagadeesh & Johnson, Jim & Locke, James & Biermacher, Jon T., 2011. "Determining Optimal Levels of Nitrogen Fertilizer Using Random Parameter Models," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 43(4), pages 1-12, November.
    4. Quirino Paris, 1992. "The von Liebig Hypothesis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 74(4), pages 1019-1028.
    5. 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.
    6. repec:ags:joaaec:157405 is not listed on IDEAS
    7. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586, January.
    8. Kennedy, John O.S. & Whan, Ian F. & Jackson, R. & Dillon, John L., 1973. "Optimal Fertilizer Carryover And Crop Recycling Policies For A Tropical Grain Crop," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 17(2), pages 1-10, August.
    9. Park, Seong Cheol & Stoecker, Arthur L. & Hattey, Jeffory A. & Turner, Jason Clemn, 2007. "Long-Term Profitabiltiy Of Animal Manure Using Optimal Nitrogen Application Rate," 2007 Annual Meeting, February 4-7, 2007, Mobile, Alabama 34830, Southern Agricultural Economics Association.
    10. Jomini, Patrick A. & Deuson, Robert R. & Lowenberg-DeBoer, J. & Bationo, Andre, 1991. "Modelling stochastic crop response to fertilisation when carry-over matters," Agricultural Economics, Blackwell, vol. 6(2), pages 97-113, December.
    11. Wayne A. Fuller, 1965. "Stochastic Fertilizer Production Functions for Continuous Corn," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 47(1), pages 105-119.
    12. Harper, David C. & Lambert, Dayton M. & Larson, James A. & Gwathmey, C. Owen, 2012. "Potassium carryover dynamics and optimal application policies in cotton production," Agricultural Systems, Elsevier, vol. 106(1), pages 84-93.
    13. Christopher N. Boyer & B. Wade Brorsen & Emmanuel Tumusiime, 2015. "Modeling skewness with the linear stochastic plateau model to determine optimal nitrogen rates," Agricultural Economics, International Association of Agricultural Economists, vol. 46(1), pages 1-10, January.
    14. 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.
    15. Boyer, Christopher N. & Larson, James A. & Roberts, Roland K. & McClure, Angela T. & Tyler, Donald D. & Zhou, Vivian, 2013. "Stochastic Corn Yield Response Functions to Nitrogen for Corn after Corn, Corn after Cotton, and Corn after Soybeans," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 45(4), pages 1-12, November.
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    Cited by:

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    2. Frederic Ouedraogo & B. Wade Brorsen, 2018. "Hierarchical Bayesian Estimation of a Stochastic Plateau Response Function: Determining Optimal Levels of Nitrogen Fertilization," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 66(1), pages 87-102, March.

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