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Spatial Period-Doubling Agglomeration of a Core-Periphery Model with a System of Cities

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  • Ikeda, Kiyohiro
  • Akamatsu, Takashi
  • Kono, Tatsuhito

Abstract

The orientation and progress of spatial agglomeration for Krugman's core--periphery model are investigated in this paper. Possible agglomeration patterns for a system of cities spread uniformly on a circle are set forth theoretically. For example, a possible and most likely course predicted for eight cities is a gradual and successive one---concentration into four cities and then into two cities en route to a single city. The existence of this course is ensured by numerical simulation for the model. Such gradual and successive agglomeration, which is called spatial-period doubling, presents a sharp contrast with the agglomeration of two cities, for which spontaneous concentration to a single city is observed in models of various kinds. It exercises caution about the adequacy of the two cities as a platform of the spatial agglomerations and demonstrates the need of the study on a system of cities.

Suggested Citation

  • Ikeda, Kiyohiro & Akamatsu, Takashi & Kono, Tatsuhito, 2009. "Spatial Period-Doubling Agglomeration of a Core-Periphery Model with a System of Cities," MPRA Paper 25636, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:25636
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    More about this item

    Keywords

    Agglomeration of population; Bifurcation; Core-periphery model; Group theory; Spatial period doubling;
    All these keywords.

    JEL classification:

    • O18 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Urban, Rural, Regional, and Transportation Analysis; Housing; Infrastructure
    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

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