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A Dynamic Nutrient Carryover Model for Pastoral Soils and its Application to Optimising Fertiliser Allocation to Several Blocks with a Cost Constraint

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  • Woodward, Simon J.R.

Abstract

A dynamical model of soil phosphorus carryover in grazed pasture provides the basis for bioeconomic optimization of fertiliser rates. A linear constraint is introduced to optimise the allocation of limited funds to fertiliser on several farm blocks, each of which represents a different land and/or stock class. The optimal constrained maintenance application of fertiliser to each block is calculated, and an heuristic approach to this equilibrium is suggested. In some cases this involves withholding of fertiliser from unresponsive blocks. The dynamical model and economic optimisation method have been implemented in a commercial fertiliser planning decision support tool Outlook.

Suggested Citation

  • Woodward, Simon J.R., 1996. "A Dynamic Nutrient Carryover Model for Pastoral Soils and its Application to Optimising Fertiliser Allocation to Several Blocks with a Cost Constraint," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 64(01), pages 1-11, April.
    • Handle: RePEc:ags:remaae:12297
    DOI: 10.22004/ag.econ.12297
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    File URL: https://ageconsearch.umn.edu/record/12297/files/64010075.pdf
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    References listed on IDEAS

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    1. Kennedy, John O.S. & Whan, Ian F. & Jackson, R. & Dillon, John L., 1973. "Optimal Fertilizer Carryover And Crop Recycling Policies For A Tropical Grain Crop," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 17(2), pages 1-10, August.
    2. Kennedy, John O.S., 1981. "An Alternative Method for Deriving Optimal Fertilizer Rates: Comment and Extension," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 49(03), pages 1-7, December.
    3. Kennedy, John O.S., 1986. "Rules For Optimal Fertilizer Carryover: An Alternative Explanation," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 54(02), pages 1-8, August.
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