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Threshold transitions in a regional urban system

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  • Jorge H. García
  • Ahjond S. Garmestani

Abstract

In this paper we analyze the evolution of city size distributions over time in a regional urban system. This urban complex system is in constant flux with changing groups and city migration across existing and newly created groups. Using group formation as an emergent property, transition probabilities across the different groups were calculated. While short-term transition appears chaotic in the intermediate and lower rank groups, long-term transition across all rank groups reveals system structure over time.

Suggested Citation

  • Jorge H. García & Ahjond S. Garmestani, 2011. "Threshold transitions in a regional urban system," Vniversitas Económica 8300, Universidad Javeriana - Bogotá.
    • Handle: RePEc:col:000416:008300
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    File URL: http://cea.javeriana.edu.co/documents/153049/2786252/Vol.11_1_2011.pdf/30f566a2-cb25-4737-b0e1-f29dfada45ec
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    References listed on IDEAS

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    1. Eaton, Jonathan & Eckstein, Zvi, 1997. "Cities and growth: Theory and evidence from France and Japan," Regional Science and Urban Economics, Elsevier, vol. 27(4-5), pages 443-474, August.
    2. William A. Brock & Cars H. Hommes, 2001. "A Rational Route to Randomness," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 16, pages 402-438, Edward Elgar Publishing.
    3. Robert M. May & Simon A. Levin & George Sugihara, 2008. "Ecology for bankers," Nature, Nature, vol. 451(7181), pages 893-894, February.
    4. Garmestani, Ahjond S. & Allen, Craig R. & Gallagher, Colin M., 2008. "Power laws, discontinuities and regional city size distributions," Journal of Economic Behavior & Organization, Elsevier, vol. 68(1), pages 209-216, October.
    5. Paul Krugman, 1991. "Cities in Space: Three Simple Models," NBER Working Papers 3607, National Bureau of Economic Research, Inc.
    6. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    7. Stuart S. Rosenthal & William C. Strange, 2003. "Geography, Industrial Organization, and Agglomeration," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 377-393, May.
    8. Kim, Sukkoo & Margo, Robert A., 2004. "Historical perspectives on U.S. economic geography," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 66, pages 2981-3019, Elsevier.
    9. Masahisa Fujita & Tomoya Mori, 2005. "Frontiers of the New Economic Geography," Papers in Regional Science, Wiley Blackwell, vol. 84(3), pages 377-405, August.
    10. T. C. Lee & G. G. Judge & T. Takayama, 1965. "On Estimating the Transition Probabilities of a Markov Process," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 47(3), pages 742-762.
    11. Duncan Black & Vernon Henderson, 2003. "Urban evolution in the USA," Journal of Economic Geography, Oxford University Press, vol. 3(4), pages 343-372, October.
    12. Ahjond S. Garmestani & Craig R. Allen & Colin M. Gallagher & John D. Mittelstaedt, 2007. "Departures from Gibrat's Law, Discontinuities and City Size Distributions," Urban Studies, Urban Studies Journal Limited, vol. 44(10), pages 1997-2007, September.
    13. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
    14. Duncan Black & Vernon Henderson, 1999. "A Theory of Urban Growth," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 252-284, April.
    15. Ahjond S. Garmestani & Craig R. Allen & K. Michael Bessey, 2005. "Time-series Analysis of Clusters in City Size Distributions," Urban Studies, Urban Studies Journal Limited, vol. 42(9), pages 1507-1515, August.
    16. Michel Dimou & Alexandra Schaffar, 2009. "Urban Hierarchies and City Growth in the Balkans," Urban Studies, Urban Studies Journal Limited, vol. 46(13), pages 2891-2906, December.
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    Citations

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    Cited by:

    1. Tarsha EASON & Ahjond S. GARMESTANI, 2012. "Cross-Scale Dynamics Of A Regional Urban System Through Time," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 55-77.
    2. Shana M. Sundstrom & David G. Angeler & Ahjond S. Garmestani & Jorge H. García & Craig R. Allen, 2014. "Transdisciplinary Application of Cross-Scale Resilience," Sustainability, MDPI, vol. 6(10), pages 1-24, October.
    3. Sameeh Alarabi & Fawaz Alasmari, 2023. "Challenges and Opportunities for Small Cities in the Kingdom of Saudi Arabia: A Study of Expert Perceptions," Sustainability, MDPI, vol. 15(8), pages 1-16, April.

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    More about this item

    Keywords

    urban systems; complex systems; city size distributions; resilience;
    All these keywords.

    JEL classification:

    • P00 - Political Economy and Comparative Economic Systems - - General - - - General
    • R10 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • Z00 - Other Special Topics - - General - - - General

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