2017
DOI: 10.1093/erae/jbx005
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Calibration of shadow values in constrained optimisation models of agricultural supply

Abstract: This paper proposes a new information-based method to calibrate the shadow values of constraints in Positive Mathematical Programming models of agricultural supply. Shadow values are chosen so as to minimise model deviation from observed activity-and input-specific expenditures, enhancing the informational basis of the calibrated model. We provide an application to nitrogen policy in California using an agronomically and economically calibrated regionalised model. Regional shadow values of water are generally … Show more

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Cited by 18 publications
(21 citation statements)
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“…The SWAP model is a regional agricultural production and economic optimization model that simulates the decisions of growers across 93% of agricultural land in California. The SWAP model is calibrated using Positive Mathematical Programming (PMP) [ Howitt , 1995; Merel and Howitt , ; Garnache et al ., ]. Crop production is modeled using Constant Elasticity of Substitution (CES) production functions, with primary inputs of land, labor, water, and other supplies.…”
Section: Embedded Hydrologic Response Function: Swap and C2vsimmentioning
confidence: 99%
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“…The SWAP model is a regional agricultural production and economic optimization model that simulates the decisions of growers across 93% of agricultural land in California. The SWAP model is calibrated using Positive Mathematical Programming (PMP) [ Howitt , 1995; Merel and Howitt , ; Garnache et al ., ]. Crop production is modeled using Constant Elasticity of Substitution (CES) production functions, with primary inputs of land, labor, water, and other supplies.…”
Section: Embedded Hydrologic Response Function: Swap and C2vsimmentioning
confidence: 99%
“…[], and Garnache et al . [], with calibrated parameters γgi and δgi. The third term accounts for labor and other supply costs across all regions and crops, with unit costs ωgij.…”
Section: Embedded Hydrologic Response Function: Swap and C2vsimmentioning
confidence: 99%
“…By relating effort to catch, the scale parameter is analogous to a vessel-specific catchability parameter in traditional fishery production models. The returns to scale coefficient is defined using a myopic definition ( [4]) relating returns to scale to supply elasticity (η)…”
Section: Model Specificationmentioning
confidence: 99%
“…[6] and [16] provided comprehensive reviews of regional agricultural models currently using the PMP framework and recent developments in the PMP literature. There has also been significant work on developing the economic foundations of PMP, emphasizing accurate estimation of supply elasticities to be used as priors ( [15]), structurally consistent estimation of shadow values ( [7]), and improved calibration methods ( [4]). …”
Section: Introductionmentioning
confidence: 99%
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