Bayesian selection of fertilizer level when crop price depends on quality
Autor: | Chris M. Theobald, Mike Talbot |
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Rok vydání: | 2004 |
Předmět: |
Statistics and Probability
Applied Mathematics media_common.quotation_subject Yield (finance) Decision theory engineering.material Bayesian inference Computational Mathematics Computational Theory and Mathematics Value (economics) Statistics Prior probability engineering Quality (business) Fertilizer Constant (mathematics) media_common Mathematics |
Zdroj: | Computational Statistics & Data Analysis. 47:867-880 |
ISSN: | 0167-9473 |
DOI: | 10.1016/j.csda.2003.11.014 |
Popis: | In studies of the most economical level of fertilizer to be applied to a crop, it is usual to assume that the price which the crop will command is a known constant. This assumption may not be realistic where the price structure is related to the quality of the crop; for example, where a premium is payable according to a measurable quality characteristic, and this characteristic is influenced by the fertilizer dose. Previous work developed a Bayesian approach to finding the optimum fertilizer level when the crop price is constant. That approach incorporates expert knowledge of the crop and soil conditions, and can encompass a choice of variety and fertilizer level. The procedure is extended to model the distribution of the quality characteristic, and hence that of the crop value, at a target location. An example is given in which a premium is offered for barley grain with low levels of nitrogen. The choices of fertilizer level and variety are found to be robust to changes in the dose–response functions for yield and grain nitrogen concentration and in the prior distribution of variance components. |
Databáze: | OpenAIRE |
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