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

Kiyohiro Ikeda, Takashi Akamatsu and Tatsuhito Kono

MPRA Paper from University Library of Munich, Germany

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.

Keywords: Agglomeration of population; Bifurcation; Core-periphery model; Group theory; Spatial period doubling (search for similar items in EconPapers)
JEL-codes: F12 O18 R12 (search for similar items in EconPapers)
Date: 2009-02-18
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (13)

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Related works:
Journal Article: Spatial period-doubling agglomeration of a core–periphery model with a system of cities (2012)
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