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Testing a von Liebig Crop Response Function against Polynomial Specifications

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  • Christopher Ackello-Ogutu
  • Quirino Paris
  • William A. Williams

Abstract

Crop responses to fertilizers traditionally have been specified as polynomial functions. Recently, criticisms were raised against such specifications because they force substitution between nutrients and overestimate the optimal fertilizer quantity. With those criticisms, an alternative crop response function was presented in the form of a minimum function which equates the realized output to the production potential associated with a limiting input. In this paper a nonnested test is performed to discriminate between the two rival specifications. The results of this test reject the hypothesis that a crop response is of the polynomial type, while they do not reject the hypothesis that it is of the minimum and plateau type.

Suggested Citation

  • Christopher Ackello-Ogutu & Quirino Paris & William A. Williams, 1985. "Testing a von Liebig Crop Response Function against Polynomial Specifications," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(4), pages 873-880.
    • Handle: RePEc:oup:ajagec:v:67:y:1985:i:4:p:873-880.
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    1. Chandra Babu, Suresh & Hallam, Arne & Rajasekaran, B., 1995. "Dynamic modelling of agroforestry and soil fertility interactions: implications for multi-disciplinary research policy," Agricultural Economics, Blackwell, vol. 13(2), pages 125-135, November.
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    13. Ekbom, Anders & Sterner, Thomas, 2008. "Production Function Analysis of Soil Properties and Soil Conservation Investments in Tropical Agriculture," RFF Working Paper Series dp-08-20-efd, Resources for the Future.
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    16. Humblot, Pierre & Jayet, Pierre-Alain & Petsakos, Athanasios, 2017. "Farm-level bio-economic modeling of water and nitrogen use: Calibrating yield response functions with limited data," Agricultural Systems, Elsevier, vol. 151(C), pages 47-60.
    17. Chapoto, Antony & Sabasi, Darlington & Asante-Addo, Collins, "undated". "Fertilizer Intensification and Soil Fertility Impact on Maize Yield Response in Northern Ghana," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205694, Agricultural and Applied Economics Association.
    18. Sauer, Johannes & Tchale, Hardwick, 2006. "Alternative Soil Fertility Management Options in Malawi - An Economic Analysis," 2006 Annual meeting, July 23-26, Long Beach, CA 21423, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    19. Park, Seong C. & Brorsen, B. Wade & Stoecker, Arthur L. & Hattey, Jeffory A., 2012. "Forage Response to Swine Effluent: A Cox Nonnested Test of Alternative Functional Forms Using a Fast Double Bootstrap," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 44(4), pages 593-606, November.
    20. 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.
    21. Tchale, Hardwick & Sauer, Johannes, 2006. "Soil Fertility Management And Agricultural Productivity In Malawi," 46th Annual Conference, Giessen, Germany, October 4-6, 2006 14954, German Association of Agricultural Economists (GEWISOLA).
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