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Spatial economic self-organization with periodic and quasiperiodic dynamics

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  • Tiina Heikkinen

Abstract

The formation of regions through spatial self-organization is a key issue in spatial economics. The standard approach to the modelling of space in regional science has been to assume that space can be modelled as a one-dimensional system, often locations arrayed on a circle. This paper studies spatial self-organization in an economic geography model defined on a two-dimensional surface, assuming periodic or quasiperiodic dynamics. A discrete time model with discretized locations is applied, motivating a cellular automata approach. Numerical simulations suggest that the number of regions emerging on a two-dimensional model is different than that on a one-dimensional model, keeping other parameters the same. The spatial distribution of economic activity on a two-dimensional space (torus) appears less stable than one on a circle. A two-dimensional economic model can be extended to capture nonuniformity in the landscape by using a quasiperiodic dynamical system. Copyright Springer-Verlag 2009

Suggested Citation

  • Tiina Heikkinen, 2009. "Spatial economic self-organization with periodic and quasiperiodic dynamics," Review of Regional Research: Jahrbuch für Regionalwissenschaft, Springer;Gesellschaft für Regionalforschung (GfR), vol. 29(2), pages 161-183, October.
    • Handle: RePEc:spr:jahrfr:v:29:y:2009:i:2:p:161-183
    DOI: 10.1007/s10037-009-0035-5
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    References listed on IDEAS

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    1. Muench, Thomas J., 1988. "Quantum agglomeration formation during growth in a combined economic/gravity model," Journal of Urban Economics, Elsevier, vol. 23(2), pages 199-214, March.
    2. Paul Krugman & Anthony J. Venables, 1995. "The Seamless World: A Spatial Model of International Specialization," NBER Working Papers 5220, National Bureau of Economic Research, Inc.
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    2. David Anzola & Peter Barbrook-Johnson & Juan I. Cano, 2017. "Self-organization and social science," Computational and Mathematical Organization Theory, Springer, vol. 23(2), pages 221-257, June.

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