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Effect of Parameter Estimation on Fertilizer Optimization

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  • D. Wallach
  • P. Loisel

Abstract

It is important to optimize the amount of fertilizer applied to a crop, both to improve profitability and to reduce environmental damage. Previous work has concentrated mainly on modelling the response of production to fertilizer. Here we complement this work by concentrating on the effect of parameter estimation on the value of the objective function. A simple expression for confidence intervals for the value of the true optimal strategy is obtained. Also, a risk function for the effect of using an estimated optimal strategy is proposed, and a simple estimator derived. The results are applied first to fertilizer optimization for a single field, and then for a population of fields.

Suggested Citation

  • D. Wallach & P. Loisel, 1994. "Effect of Parameter Estimation on Fertilizer Optimization," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 43(4), pages 641-651, December.
  • Handle: RePEc:bla:jorssc:v:43:y:1994:i:4:p:641-651
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    File URL: https://doi.org/10.2307/2986262
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    Cited by:

    1. Livanis, Grigorios T. & Salois, Matthew J. & Moss, Charles B., 2009. "A Nonparametric Kernel Representation of the Agricultural Production Function: Implications for Economic Measures of Technology," 83rd Annual Conference, March 30 - April 1, 2009, Dublin, Ireland 51063, Agricultural Economics Society.

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