Self-organized spatial patterns of industry agglomeration

新经济地理学中的两点核心制造业（CP）模型表现出从对称均衡到非对称均衡的分叉，这取决于运输成本。这项研究揭示了有趣的分歧性质的CP模型在更一般的设置，如二维空间和多产业经济。本文的主要发现是：（1）Christaller的六边形集聚模式被证明是CP模型在二维格点上的稳定平衡点;（2）产业集聚模式的“层次原理”适用于多产业CP模型;（3）多产业CP模型产生的人口分布遵循“中心地分布”，即：该分布满足等级大小规则、层次原则和数量平均大小规则。

Two-location Core-Periphery (CP)models in New Economic Geography exhibit a bifurcation from a symmetric equilibrium to an asymmetric one, depending on transportation costs. This study reveals interesting bifurcation properties of the CP models in more general settings, such as a two-dimensional space and a multi-industry economy. Some of the major findings of this study are 1) Christaller's hexagonal agglomeration patterns are proven to exist as stable equilibria of the CP models on a two-dimensional lattice, 2)"Hierarchy principle" of industry agglomeration patterns holds for the multi-industry CP models, 3) the multi-industry CP models generate the population distributions that follow"central place regularities", i.e, the distribution satisfies a rank-size rule, a hierarchy principle, and a number-average size rule.