Global-Local Spatial Platform for Economic Geography: Mechanism for Sustaining Bifurcation

Global-Local Spatial Platform for Economic Geography: Mechanism for Sustaining Bifurcation
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全球-地方经济地理空间平台:维持分叉的机制

DOI:
10.1142/s0218127422300269
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发表时间:
2022
影响因子:
2.2
通讯作者:
Ikeda K.
Ikeda K.
中科院分区:
数学4区
文献类型:
--
作者:
Kogure Y.;Ikeda K.

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本文开发了一个经济集聚的空间平台,它可以表示城市、城镇等的层次结构。全球系统模拟城市系统的地理分布,而每个城市的人口规模和局部地理则由一个单独的正方形网格网络模拟。经济集聚的机理是用复制者动态的经济地理学模型来描述的。作为本文的一个主要理论贡献,我们阐明了单中心分布在正方形区域中的分支机制。这样的分歧表达了卫星城市是如何出现在大城市周围的。这种分岔行为称为维持分岔,它不同于非线性数学中研究的对称破缺分岔,尽管它很重要,但在经济地理学中却没有得到太多关注。以美国7个最大的枢纽机场组成的城市空中网络为例,将其建模为一个由一系列大小不等的局部正方形网格组成的全局-局部系统,并通过等距经济将其连接起来。这个系统的经济地理模型显示连续的持续分叉发生多次导致卫星的地方逐渐出现在一个大城市周围。
This paper develops a spatial platform for economic agglomerations that can represent a hierarchical structure of cities, towns, and so on. A global system models geographical distribution of a system of cities, while population size and local geography of each city are modeled by an individual square lattice network. The mechanism of economic agglomeration is described by economic geography models with the replicator dynamics. As a major theoretical contribution of this paper, we elucidate the bifurcation mechanism of the mono-centric distribution in a square domain. Such bifurcation expresses how satellite places appear around a large city. This bifurcation behavior, called sustaining bifurcation, is different from symmetry-breaking bifurcation studied in nonlinear mathematics, and is not given much attention in economic geography, despite its importance. An air-network of cities with the seven largest hub airports in USA is employed as a realistic example, and is modeled as a global–local system comprising a series of local square lattices with different sizes connected by an equidistant economy. This system for an economic geography model displays successive sustaining bifurcations occurring many times leading to gradual emergence of satellite places around a large city.
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发表时间: 2018
期刊: Economic Theory
影响因子: 1.3
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发表时间: 1995
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