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Estimation of von Liebig Response Functions

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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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    File URL: http://hdl.handle.net/10.2307/1241786
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    1. Klaus Moeltner & A. Ford Ramsey & Clinton L. Neill, 2021. "Bayesian Kinked Regression with Unobserved Thresholds: An Application to the von Liebig Hypothesis," American Journal of Agricultural Economics, John Wiley & Sons, vol. 103(5), pages 1832-1856, October.
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    22. Brady, Mark, 2003. "The relative cost-efficiency of arable nitrogen management in Sweden," Ecological Economics, Elsevier, vol. 47(1), pages 53-70, November.
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