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Incorporating Quadratic Scale Curves In Inverse Demand Systems

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  • Beach, Robert H.
  • Holt, Matthew T.

Abstract

In this paper we introduce inverse demand systems that include quadratic scale terms. These systems are similar to regular quadratic demand systems introduced by Howe, Pollack, and Wales. A unique feature of these specifications is that they maintain linear scale curves as a special case. For illustrative purposes we estimate the Normalized Quadratic Inverse Demand-Quadratic Scale System using monthly South Atlantic fish landings and valuation data, 1980-1996. In estimation concavity is maintained locally, and the rank reduction procedures advocated by Diewert and Wales (1988b) are employed. The estimated model is then used to obtain welfare estimates associated with catch restrictions.

Suggested Citation

  • Beach, Robert H. & Holt, Matthew T., 1999. "Incorporating Quadratic Scale Curves In Inverse Demand Systems," 1999 Annual meeting, August 8-11, Nashville, TN 21579, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  • Handle: RePEc:ags:aaea99:21579
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    References listed on IDEAS

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    1. Moschini, Giancarlo, 1998. "The semiflexible almost ideal demand system," European Economic Review, Elsevier, vol. 42(2), pages 349-364, February.
    2. Eales, James S., 1994. "The Inverse Lewbel Demand System," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 19(01), July.
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    7. Palmquist, Raymond B., 1988. "Welfare measurement for environmental improvements using the hedonic model: The case of nonparametric marginal prices," Journal of Environmental Economics and Management, Elsevier, vol. 15(3), pages 297-312, September.
    8. Richard C. Bishop & Matthew T. Holt, 2002. "A semiflexible normalized quadratic inverse demand system: an application to the price formation of fish," Empirical Economics, Springer, vol. 27(1), pages 23-47.
    9. Howe, Howard & Pollak, Robert A & Wales, Terence J, 1979. "Theory and Time Series Estimation of the Quadratic Expenditure System," Econometrica, Econometric Society, vol. 47(5), pages 1231-1247, September.
    10. Moschini, GianCarlo & Vissa, Anuradha, 1992. "A Linear Inverse Demand System," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 17(02), December.
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    13. David L. Ryan & Terence J. Wales, 1999. "Flexible And Semiflexible Consumer Demands With Quadratic Engel Curves," The Review of Economics and Statistics, MIT Press, vol. 81(2), pages 277-287, May.
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    18. Hoanjae Park & Walter N. Thurman, 1999. "On Interpreting Inverse Demand Systems: A Primal Comparison of Scale Flexibilities and Income Elasticities," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 950-958.
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    Cited by:

    1. Vasiliki Fourmouzi & Margarita Genius & Vangelis Tzouvelekas, 2006. "The Demand for Organic, Integrated-Agriculture, and Conventional Fresh Vegetables: A Censored Inverse Almost Ideal Demand System," Working Papers 0618, University of Crete, Department of Economics.
    2. Keith R. McLaren & K. K. Gary Wong, 2009. "The Benefit Function Approach to Modeling Price-Dependent Demand Systems: An Application of Duality Theory," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 91(4), pages 1110-1123.
    3. Madan Mohan Dey & Yolanda T. Garcia & Kumar Praduman & Somying Piumsombun & Muhammad Sirajul Haque & Luping Li & Alias Radam & Athula Senaratne & Nguyen Tri Khiem & Sonny Koeshendrajana, 2008. "Demand for fish in Asia: a cross-country analysis ," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 52(3), pages 321-338, September.
    4. Michele Baggio & Jean-Paul Chavas, 2006. "On the Consumer Value of Environmental Diversity," Working Papers 35/2006, University of Verona, Department of Economics.
    5. Liu, Kang Ernest, 2006. "A Quadratic Generalization of the Almost Ideal and Translog Demand Systems: An Application to Food Demand in Urban China," 2006 Annual meeting, July 23-26, Long Beach, CA 21387, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    6. Lee, Min-Yang A. & Thunberg, Eric M., 2012. "An Inverse Demand System for New England Groundfish: Welfare Analysis of the Transition to Catch Share Management," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 123879, Agricultural and Applied Economics Association.
    7. Shr, Yau-Huo & Zipp, Katherine, 2016. "Valuing complementarity between environmental goods and housing attributes with the benefit function: An application to flood hazards," 2016 Annual Meeting, July 31-August 2, 2016, Boston, Massachusetts 235961, Agricultural and Applied Economics Association.
    8. Gary K.K. Wong & Keith R. McLaren, 2002. "Regular and Estimable Inverse Demand Systems: A Distance Function Approach," Monash Econometrics and Business Statistics Working Papers 6/02, Monash University, Department of Econometrics and Business Statistics.

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