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Equilibrium values and dynamics of attractiveness terms in production-constrained spatial-interaction models

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  • B Harris
  • A G Wilson

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, Pion Ltd, London, vol. 10(4), pages 371-388, April.
  • Handle: RePEc:pio:envira:v:10:y:1978:i:4:p:371-388
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    Cited by:

    1. Xinyu (Jason) Cao & Marlon G. Boarnet & Xiaoshu Cao & 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. 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.
    5. Mert Kompil & H. Murat Celik, "undated". "Modeling the Spatial Consequences of Retail Structure Change of Izmir-turkey: a Quasi-empirical Aplication of Spatial Interaction Model," Regional and Urban Modeling 283600047, EcoMod.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. P Nijkamp & A Reggiani, 1988. "Dynamic Spatial Interaction Models: New Directions," Environment and Planning A, , vol. 20(11), pages 1449-1460, November.
    11. Michael Wegener, 2011. "Transport in Spatial Models of Economic Development," Chapters,in: A Handbook of Transport Economics, chapter 3 Edward Elgar Publishing.
    12. 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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