Spatial period-doubling agglomeration of a core-periphery model with a system of cities
Spatial period-doubling agglomeration of a core-periphery model with a system of cities
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DOI：
10.1016/j.jedc.2011.08.014
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发表时间：
2012-05-01
影响因子：
1.9
通讯作者：
Kono, Tatsuhito
中科院分区：
文献类型：
--
作者：
Ikeda, Kiyohiro;Akamatsu, Takashi;Kono, Tatsuhito
通过对运输成本稳定均衡的比较静态分析，考察了克鲁格曼核心-边缘模型的空间集聚过程。我们从理论上阐述了均匀分布在圆圈上的城市系统可能的集聚(分叉)模式。一种可能和最有可能预测的过程是渐进和连续的，这被称为空间周期倍增。例如，八个城市集中成四个城市，然后形成两个城市，形成一个单一的城市。通过对模型的数值模拟，证明了这一过程的存在。这种渐进和相继的集聚与两个城市的集聚形成了鲜明的对比，在各种中心-外围模式中，都观察到了自发向单个城市的集聚。还观察到了在两个城市中不会发生的其他分叉，例如周期三倍。因此，对城市系统进行研究的必要性已经得到证明。(C)2012爱思唯尔B.V.保留所有权利。
The progress of spatial agglomeration of Krugman's core-periphery model is investigated by comparative static analysis of stable equilibria with respect to transport costs. We set forth theoretically possible agglomeration (bifurcation) patterns for a system of cities spread uniformly on a circle. A possible and most likely course predicted is a gradual and successive one, which is called spatial period doubling. For example, eight cities concentrate into four cities and then into two cities en route to the formation of a single city. The existence of this course is ensured by numerical simulation for the model. Such a gradual and successive agglomeration presents a sharp contrast to the agglomeration of two cities, for which spontaneous concentration to a single city is observed in core-periphery models of various kinds. Other bifurcations that do not take place in two cities, such as period tripling, are also observed. The need for study of a system of cities has thus been demonstrated. (C) 2012 Elsevier B.V. All rights reserved.