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Optimal Fertilizer Carryover and von Liebigs Law of the Minimum

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  • Beard, Rodney

Abstract

von Liebigs law of the minimum is frequently proposed as a model of crop production which captures agronomic reality better than substitutional production functions. Whilst many studies of the law of the minimum and optimal fertilizer carryover have been undertaken separately, the law of the minimum for optimal fertilizer carryover has it would appear until now not been analysed, because of the non-differentiable nature of the agricultural producers objective function. In this paper I develop an optimal control model of fertilizer carryover subject to the law of the minimum using the differential inclusion approach to optimal control.

Suggested Citation

  • Beard, Rodney, 2000. "Optimal Fertilizer Carryover and von Liebigs Law of the Minimum," 2000 Conference (44th), January 23-25, 2000, Sydney, Australia 123600, Australian Agricultural and Resource Economics Society.
    • Handle: RePEc:ags:aare00:123600
    DOI: 10.22004/ag.econ.123600
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    Keywords

    Crop Production/Industries;

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