Munich Personal RePEc Archive

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

Ikeda, Kiyohiro and Akamatsu, Takashi and Kono, Tatsuhito (2009): Spatial Period-Doubling Agglomeration of a Core-Periphery Model with a System of Cities.

[img]
Preview
PDF
MPRA_paper_25636.pdf

Download (1MB) | Preview

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.

UB_LMU-Logo
MPRA is a RePEc service hosted by
the Munich University Library in Germany.