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A Family Of Agronomic Production Functions With Economies Of Scope


  • Lloyd, Peter J.


This paper derives a family of multiple-output multiple-input production functions from the underlying technologies. These technologies are represented by average yield functions for each of the commodities (crops) produced from a common pool of resources. The production functions are implicitly separable. Examples include the CRETH, translog, generalised power and generalised McFadden functions. Moreover, given a function which is a member of this family, the individual commodity yield and production functions can be recovered. Such implicitly separable multiple-output production functions may exhibit economies or diseconomies of scope which reflect the interactions between outputs sharing a common pool of resources.

Suggested Citation

  • Lloyd, Peter J., 1989. "A Family Of Agronomic Production Functions With Economies Of Scope," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 33(02), August.
  • Handle: RePEc:ags:ajaeau:22584

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    References listed on IDEAS

    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.
    2. Hanoch, Giora, 1975. "Production and Demand Models with Direct or Indirect Implicit Additivity," Econometrica, Econometric Society, vol. 43(3), pages 395-419, May.
    3. Lau, Lawrence J, 1972. "Profit Functions of Technologies with Multiple Inputs and Outputs," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 281-289, August.
    4. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    5. Starrett, David A, 1987. "Production and Capital: Kenneth Arrow's Contribution in Perspective--A Review Article," Journal of Economic Literature, American Economic Association, vol. 25(1), pages 92-102, March.
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