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Equilibrium Values and Dynamics of Attractiveness Terms in Production-Constrained Spatial-Interaction Models

Author

Listed:
  • B Harris

    (School of Urban and Public Policy, University of Pennsylvania, Philadelphia, Pennsylvania, USA)

  • A G Wilson

    (Department of Geography, University of Leeds, Leeds LS2 9JT, England)

Abstract

A number of mechanisms are explored for modelling equilibrium values of attractiveness terms in production-constrained spatial-interaction models. They include revenue and facility-size balancing, a differential-equation representation of profit maximisation, and mathematical-programming formulations. The different methods turn out to be closely related but offer different and complementary insights. Some dynamic properties of such equilibrium points are explored, including the identification of circumstances which generate discrete changes for smooth changes in parameters. A number of possible algorithms for calculating the points are described.

Suggested Citation

  • B Harris & A G Wilson, 1978. "Equilibrium Values and Dynamics of Attractiveness Terms in Production-Constrained Spatial-Interaction Models," Environment and Planning A, , vol. 10(4), pages 371-388, April.
    • Handle: RePEc:sae:envira:v:10:y:1978:i:4:p:371-388
    DOI: 10.1068/a100371
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    Cited by:

    1. Minoru Osawa & Takashi Akamatsu & Yuki Takayama, 2017. "Harris And Wilson (1978) Model Revisited: The Spatial Period‐Doubling Cascade In An Urban Retail Model," Journal of Regional Science, Wiley Blackwell, vol. 57(3), pages 442-466, June.
    2. Alan Wilson, 2010. "The general urban model: Retrospect and prospect," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 27-42, March.
    3. Nijkamp, P. & Reggiani, A., 1991. "Space-time dynamics, spatial competition and the theory of chaos," Serie Research Memoranda 0094, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    4. Alex Anas & Richard Arnott & Kenneth A. Small, 1998. "Urban Spatial Structure," Journal of Economic Literature, American Economic Association, vol. 36(3), pages 1426-1464, September.
    5. Nijkamp, P. & Reggiani, A., 1992. "Static and dynamic spatial interaction models : an integrating perspective," Serie Research Memoranda 0052, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    6. Laird, James J. & Venables, Anthony J., 2017. "Transport investment and economic performance: A framework for project appraisal," Transport Policy, Elsevier, vol. 56(C), pages 1-11.
    7. Takashi Akamatsu & Tomoya Mori & Minoru Osawa & Yuki Takayama, 2019. "Spatial scale of agglomeration and dispersion: Number, spacing, and the spatial extent of cities," Papers 1912.05113, arXiv.org, revised Aug 2024.
    8. P Nijkamp & A Reggiani, 1988. "Dynamic Spatial Interaction Models: New Directions," Environment and Planning A, , vol. 20(11), pages 1449-1460, November.
    9. Michael Wegener, 2011. "Transport in Spatial Models of Economic Development," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 3, Edward Elgar Publishing.
    10. Fischer, Manfred M. & Nijkamp, Peter, 1987. "From static towards dynamic discrete choice modelling : A State of the Art Review," Regional Science and Urban Economics, Elsevier, vol. 17(1), pages 3-27, February.
    11. David Philip McArthur & Inge Thorsen & Jan Ubøe, 2014. "Employment, Transport Infrastructure, and Rural Depopulation: A New Spatial Equilibrium Model," Environment and Planning A, , vol. 46(7), pages 1652-1665, July.
    12. Akamatsu, Takashi & Mori, Tomoya & Osawa, Minoru & Takayama, Yuki, 2017. "Spatial scale of agglomeration and dispersion: Theoretical foundations and empirical implications," MPRA Paper 80689, University Library of Munich, Germany.
    13. Nijkamp, P. & Reggiani, A., 1990. "Strategic long-term transportation planning and dynamic transportation models : a life cycle interpretation," Serie Research Memoranda 0062, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.

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