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The Urban Hierarchy and Urban Area Production Function: A Synthesis

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  • Gordon P. Schaefer

    (Katholieke Universiteit te Leuven)

Abstract

Urban production functions, often used to indicate optimal city size, usually deal with one city in isolation. This paper introduces differing production and transport costs and demand intensities in order to generate an urban hierarchy of differing urban sizes and market areas. It then distinguishes between continuous hierarchies with a single production function and discretely stepped hierarchies with differing production functions. The model is then applied in order to generate a seven-level hierarchy for 464 urban centres in Saskatchewan, but this is outperformed by the corresponding continuous hierarchy model. The policy implications for self-sustaining urban growth and the potential non-viability of small communities are then discussed.

Suggested Citation

  • Gordon P. Schaefer, 1977. "The Urban Hierarchy and Urban Area Production Function: A Synthesis," Urban Studies, Urban Studies Journal Limited, vol. 14(3), pages 315-326, October.
    • Handle: RePEc:sae:urbstu:v:14:y:1977:i:3:p:315-326
    DOI: 10.1080/00420987720080651
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    References listed on IDEAS

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    1. Pietro L. Fano, 1969. "Organization, City Size Distributions And Central Places†," Papers in Regional Science, Wiley Blackwell, vol. 22(1), pages 29-38, January.
    2. Henderson, J V, 1974. "The Sizes and Types of Cities," American Economic Review, American Economic Association, vol. 64(4), pages 640-656, September.
    3. Brian J.L. Berry & William L. Garrison, 1958. "Recent Developments Of Central Place Theory," Papers in Regional Science, Wiley Blackwell, vol. 4(1), pages 107-120, January.
    4. 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.
    5. Brian J. L. Berry, 1964. "Cities As Systems Within Systems Of Cities," Papers in Regional Science, Wiley Blackwell, vol. 13(1), pages 147-163, January.
    6. Edgar M. Hoover, 1970. "Transport Costs And The Spacing Of Central Places," Papers in Regional Science, Wiley Blackwell, vol. 25(1), pages 255-274, April.
    7. Burgess, David F., 1974. "Production theory and the derived demand for imports," Journal of International Economics, Elsevier, vol. 4(2), pages 103-117, May.
    8. William Alonso, 1971. "The Economics Of Urban Size†," Papers in Regional Science, Wiley Blackwell, vol. 26(1), pages 67-83, January.
    9. Berndt, Ernst R. & Christensen, Laurits R., 1973. "The translog function and the substitution of equipment, structures, and labor in U.S. manufacturing 1929-68," Journal of Econometrics, Elsevier, vol. 1(1), pages 81-113, March.
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