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articles: Areas, nodes and networks: Some analytical considerations


  • John R. Roy

    () (ETUDES , Mallacoota, Victoria, 3892, Australia)


This situation has been identified in the literature as the `self potential' problem. In this article, integration over continuous space within the origin-destination zones is applied to not only compute the intrazonal flows more accurately, but also to evaluate the interzonal flows along shortest path routes meeting the interzonal links at efficient intermediate points. In particular, this general approach permits more accurate corrections to the conventional model, allowing, for instance, the usual approximations in determining average trip length to contiguous zones to be overcome. The eventual aim is to develop practical `rules of thumb' for correcting the conventional analysis. This article also examines facility choice via alternative round trip routes, attempting to discern the influence of `intervening opportunities' on the potential for multi-stop trips without having to fully identify the actual trip chain. Such intervening opportunities can only be properly considered along the alternative paths of the actual network.

Suggested Citation

  • John R. Roy, 1999. "articles: Areas, nodes and networks: Some analytical considerations," Papers in Regional Science, Springer;Regional Science Association International, vol. 78(2), pages 135-155.
  • Handle: RePEc:spr:presci:v:78:y:1999:i:2:p:135-155 Note: Received: 7 October 1998

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    References listed on IDEAS

    1. Laussel, Didier & Le Breton, Michel, 1998. "Existence of Nash equilibria in fiscal competition models," Regional Science and Urban Economics, Elsevier, vol. 28(3), pages 283-296, May.
    2. Hoyt William H., 1993. "Tax Competition, Nash Equilibria, and Residential Mobility," Journal of Urban Economics, Elsevier, vol. 34(3), pages 358-379, November.
    3. Wildasin, David E., 1988. "Nash equilibria in models of fiscal competition," Journal of Public Economics, Elsevier, vol. 35(2), pages 229-240, March.
    4. Petchey, Jeffrey, 1995. "Resource Rents, Cost Differences and Fiscal Equalization," The Economic Record, The Economic Society of Australia, vol. 71(215), pages 343-353, December.
    5. Jones, Rich & Whalley, John, 1989. "A Canadian regional general equilibrium model and some applications," Journal of Urban Economics, Elsevier, vol. 25(3), pages 368-404, May.
    6. Mintz, Jack & Tulkens, Henry, 1986. "Commodity tax competition between member states of a federation: equilibrium and efficiency," Journal of Public Economics, Elsevier, vol. 29(2), pages 133-172, March.
    7. Pissarides, Christopher A & McMaster, Ian, 1990. "Regional Migration, Wages and Unemployment: Empirical Evidence and Implications for Policy," Oxford Economic Papers, Oxford University Press, vol. 42(4), pages 812-831, October.
    8. Mark D. Partridge & Dan S. Rickman, 1998. "Regional Computable General Equilibrium Modeling: A Survey and Critical Appraisal," International Regional Science Review, , vol. 21(3), pages 205-248, December.
    9. Morgan, William & Mutti, John & Rickman, Dan, 1996. "Tax Exporting, Regional Economic Growth, and Welfare," Journal of Urban Economics, Elsevier, vol. 39(2), pages 131-159, March.
    10. Ross Garnaut, 2002. "Equity and Australian Development: Lessons from the First Century," Australian Economic Review, The University of Melbourne, Melbourne Institute of Applied Economic and Social Research, vol. 35(3), pages 227-243.
    11. Pissarides, Christopher A & Wadsworth, Jonathan, 1989. "Unemployment and the Inter-regional Mobility of Labour," Economic Journal, Royal Economic Society, vol. 99(397), pages 739-755, September.
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    More about this item


    Spatial interaction modelling; interzonal impedance; self potential; multi-dimensional paths;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • R4 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise


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