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A Von Liebig Model For Water And Nitrogen Crop Response


  • Grimm, Sadi S.
  • Paris, Quirino
  • Williams, William A.


The century-old "law of the minimum" proposed by von Liebig was tested using five independent sets of crop response data on wheat, corn, cotton, silage, and sugar beets. The rival models were polynomial functions reported in the literature as the most suitable models for interpreting those data. Overall, the von Liebig model performed very well. While the nonnested hypothesis test was inconclusive with regard to silage and sugar beets, the von Liebig model rejected the polynomial specifications for wheat, corn and cotton.

Suggested Citation

  • 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.
  • Handle: RePEc:ags:wjagec:32239
    DOI: 10.22004/ag.econ.32239

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    Cited by:

    1. Christiaans, Thomas & Eichner, Thomas & Pethig, Rudiger, 2007. "Optimal pest control in agriculture," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3965-3985, December.
    2. Catherine Ragasa & Antony Chapoto, 2017. "Moving in the right direction? The role of price subsidies in fertilizer use and maize productivity in Ghana," Food Security: The Science, Sociology and Economics of Food Production and Access to Food, Springer;The International Society for Plant Pathology, vol. 9(2), pages 329-353, April.
    3. 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.
    4. Brorsen, B. & Ouedraogo, Frederic, 2015. "Using Bayesian Estimation Methods to Determine Optimal Levels of Nitrogen Fertilization," 2015 Conference, August 9-14, 2015, Milan, Italy 211373, International Association of Agricultural Economists.
    5. Kampas, Athanasios & Melfou, Katerina & Aftab, Ashar, 2013. "Designing Regulatory Policies for Complex Externalities: The Case of Agricultural Pollution," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 14(2), pages 1-14.
    6. Divina Gracia P. Rodriguez, 2020. "An Assessment of the Site-Specific Nutrient Management (SSNM) Strategy for Irrigated Rice in Asia," Agriculture, MDPI, Open Access Journal, vol. 10(11), pages 1-28, November.
    7. Lichtenberg, Erik, 2002. "Agriculture and the environment," Handbook of Agricultural Economics, in: B. L. Gardner & G. C. Rausser (ed.), Handbook of Agricultural Economics, edition 1, volume 2, chapter 23, pages 1249-1313, Elsevier.
    8. 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.
    9. Kampas, Athanasios & Petsakos, Athanasios & Rozakis, Stelios, 2012. "Price induced irrigation water saving: Unraveling conflicts and synergies between European agricultural and water policies for a Greek Water District," Agricultural Systems, Elsevier, vol. 113(C), pages 28-38.
    10. Chapoto, Antony & Ragasa, Catherine, 2013. "Moving in the right direction? Maize productivity and fertilizer use and use intensity in Ghana:," IFPRI discussion papers 1314, International Food Policy Research Institute (IFPRI).
    11. Rodriguez, Divina Gracia P. & Bullock, David S., 2015. "Testing the Validity of Stanford's 1.2 Rule for N Fertilizer Recommendation," 2015 Conference, August 9-14, 2015, Milan, Italy 212289, International Association of Agricultural Economists.
    12. Rodriguez, Divina Gracia P. & Bullock, David S., 2015. "An Empirical Investigation of the Stanford’s “1.2 Rule” for Nitrogen Fertilizer Recommendation," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205314, Agricultural and Applied Economics Association.
    13. Ragasa, Catherine & Chapoto, Anthony, 2016. "Limits to green revolution in rice in Africa: The case of Ghana:," IFPRI discussion papers 1561, International Food Policy Research Institute (IFPRI).

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