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An application of positive mathematical programming to the Canadian hog sector in the Canadian Regional Agricultural Model


Ravinderpal S. Gill, Robert J. MacGregor, Bruce Junkins, Glenn Fox, George Brinkman and Greg Thomas



Indian Journal of Economics and Development
Year : 2015, Volume : 11, Issue : 2
First page : ( 449) Last page : ( 456)
Print ISSN : 2277-5412. Online ISSN : 2322-0430.
Article DOI : 10.5958/2322-0430.2015.00053.0

An application of positive mathematical programming to the canadian hog sector in the Canadian Regional Agricultural Model

Gill Ravinderpal S., MacGregor Robert J., Junkins Bruce*, Fox Glenn, Brinkman George**, Thomas Greg***
*Research Economist, Chief (Retired) and Senoir Economist (Retired), Strategic Policy Branch, Agriculture and Agri-Food Canada, Ottawa

**Professor and Professor (Retired), Department of Food, Agricultural and Resource Economics, University of Guelph, 50 Stone Road East, Guelph, ON N1G 2W1, Canada

***Vice President of Pricing Research and Analytics, Pricing Solutions Limited, Toronto, Ontario, Canada, M5E 1E3

JEL Classification: C02, D24, Q11, Q18

This paper describes the Positive Mathematical Programming (PMP), amethod for calibrating models of agricultural livestock production and resource use using a nonlinear marginal cost function and illustrates the application of this method in agricultural sectoral models used to study changes in policy and market signals. The Canadian Regional Agricultural Model (CRAM) is a regional, multi-sectoral, comparative static, partial equilibrium, mathematical programming model developed and maintained by Agriculture and Agri-Food Canada. The hog sector is one of the components of the CRAM. In this application, the introduction of nonlinear relationships to improve the performance of sectoral models is emphasized for the hog sector. A cubic total cost function was chosen, based on the empirical research for the hog sector in Canada. Empirical research shows that the marginal cost function is convex for the hog sectorin Canada. The calibration constraints are removed and the model automatically calibrates at the base year production levels. The results indicate that the model is able to predict the impacts of changes in feed prices on the breeding herd size. Similarly, the model can predict changesin the herd size with respect to changes in pork prices.

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