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A province-level analysis of economies of scale in Canadian food processing

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Author Info
Gervais, J.P.
Bonroy, O.
Couture, S.

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Abstract

Cost functions of three Canadian food processing sectors (meat, bakery and dairy) are estimated using provincial data. A translog functional form is used and the concavity property of the cost function is imposed locally. The Morishima substitution elasticities and scale elasticities are computed for different provinces. Inference is carried out using asymptotic theory as well as bootstrap methods. The evidence suggests that there are significant substitution possibilities between the agricultural input and other production factors in the meat and bakerysectors. Scale elasticities suggest that increasing returns to scale are present in bakery and meat industries. To account for supply management in the dairy sector, separability between raw milk and other inputs was introduced. There exists evidence of increasing returns to scale at the industry level in the small producing provinces, but decreasing returns to scale in the two largest dairy provinces (Ontario and Quebec).

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Paper provided by Grenoble Applied Economics Laboratory (GAEL) in its series Working Papers with number 200710.

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Date of creation: 2007
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Handle: RePEc:gbl:wpaper:200710

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Related research
Keywords: TRANSLOG COST FUNCTION; FOOD PROCESSING INDUSTRY; RETURNS TO SCALE; DOUBLE BOOTSTAP;

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Find related papers by JEL classification:
D24 - Microeconomics - - Production and Organizations - - - Production; Capital and Total Factor Productivity; Capacity
C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General

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  1. Diewert, W E, 1971. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 481-507, May-June. [Downloadable!] (restricted)
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  3. Michael Ollinger & James M. MacDonald & Milton Madison, 2005. "Technological Change and Economies of Scale in U.S. Poultry Processing," American Journal of Agricultural Economics, American Agricultural Economics Association, vol. 87(1), pages 116-129, 02. [Downloadable!] (restricted)
  4. Horowitz, Joel L., 2001. "The Bootstrap," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 52, pages 3159-3228 Elsevier. [Downloadable!] (restricted)
  5. Blackorby, Charles & Russell, R Robert, 1989. "Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)," American Economic Review, American Economic Association, vol. 79(4), pages 882-88, September. [Downloadable!] (restricted)
  6. MacDonald, James M & Ollinger, Michael E, 2000. " Scale Economies and Consolidation in Hog Slaughter," American Journal of Agricultural Economics, American Agricultural Economics Association, vol. 82(2), pages 334-46, May. [Downloadable!] (restricted)
  7. Ryan, David L. & Wales, Terence J., 2000. "Imposing local concavity in the translog and generalized Leontief cost functions," Economics Letters, Elsevier, vol. 67(3), pages 253-260, June. [Downloadable!] (restricted)
  8. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January. [Downloadable!] (restricted)
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  9. Buccola, Steven & Fujii, Yoko & Xia, Yin, 2000. " Size and Productivity in the U.S. Milling and Baking Industries," American Journal of Agricultural Economics, American Agricultural Economics Association, vol. 82(4), pages 865-80, November. [Downloadable!] (restricted)
  10. Catherine J. Morrison Paul, 2001. "Cost Economies And Market Power: The Case Of The U.S. Meat Packing Industry," The Review of Economics and Statistics, MIT Press, vol. 83(3), pages 531-540, August. [Downloadable!] (restricted)
  11. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1973. "Transcendental Logarithmic Production Frontiers," The Review of Economics and Statistics, MIT Press, vol. 55(1), pages 28-45, February. [Downloadable!] (restricted)
  12. McCullough, B D & Vinod, H D, 1998. "Implementing the Double Bootstrap," Computational Economics, Springer, vol. 12(1), pages 79-95, August. [Downloadable!]
  13. James M MacDonald & Michael E Ollinger, 2000. "Scale Economies and Consolidation in Hog Slaughter," Working Papers 00-03, Center for Economic Studies, U.S. Census Bureau. [Downloadable!]
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