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Estimation of von Liebig Response Functions

Author

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  • Quirino Paris
  • Keith Knapp

Abstract

Two distinct but related approaches for the estimation of von Liebig response functions are presented. The first approach is based upon a two-phase, ordinary least squares procedure combined with bootstrapping for computing the standard errors of the estimates. The second approach generates maximum likelihood estimates of the parameters and can be implemented according to two different parameterizations of the model. Application of the procedures to a sample of experimental data suggests a satisfactory degree of conformity of the results. A test of normality of the disturbance term based upon the estimated residuals failed to reject the null hypothesis, further supporting the maximum likelihood approach.

Suggested Citation

  • 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.
  • Handle: RePEc:oup:ajagec:v:71:y:1989:i:1:p:178-186.
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    1. 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.
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    17. Sarkar, Sampriti & Lupi, Frank, 2022. "Modelling mid-western corn yield response to phosphorus fertilizer in Michigan," 2022 Annual Meeting, July 31-August 2, Anaheim, California 322478, Agricultural and Applied Economics Association.
    18. 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.
    19. Kaitibie, Simeon & Nganje, William E. & Brorsen, B. Wade & Epplin, Francis M., 2003. "Optimal Grazing Pressure Under Output Price And Production Uncertainty With Alternative Functional Forms," 2003 Annual meeting, July 27-30, Montreal, Canada 22020, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
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    21. Roberts, David C. & Brorsen, B. Wade & Solie, John B. & Raun, William R., 2011. "The effect of parameter uncertainty on whole-field nitrogen recommendations from nitrogen-rich strips and ramped strips in winter wheat," Agricultural Systems, Elsevier, vol. 104(4), pages 307-314, April.
    22. 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.
    23. 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.
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