Ikeda, Kiyohiro and Akamatsu, Takashi and Kono, Tatsuhito (2009): Spatial PeriodDoubling Agglomeration of a CorePeriphery Model with a System of Cities.

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Abstract
The orientation and progress of spatial agglomeration for Krugman's coreperiphery 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 oneconcentration 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 spatialperiod 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.
Item Type:  MPRA Paper 

Original Title:  Spatial PeriodDoubling Agglomeration of a CorePeriphery Model with a System of Cities 
Language:  English 
Keywords:  Agglomeration of population; Bifurcation; Coreperiphery model; Group theory; Spatial period doubling 
Subjects:  O  Economic Development, Innovation, Technological Change, and Growth > O1  Economic Development > O18  Urban, Rural, Regional, and Transportation Analysis ; Housing ; Infrastructure F  International Economics > F1  Trade > F12  Models of Trade with Imperfect Competition and Scale Economies ; Fragmentation R  Urban, Rural, Regional, Real Estate, and Transportation Economics > R1  General Regional Economics > R12  Size and Spatial Distributions of Regional Economic Activity 
Item ID:  25636 
Depositing User:  Kiyohiro Ikeda 
Date Deposited:  05. Oct 2010 00:11 
Last Modified:  30. Dec 2015 11:26 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/25636 