论文标题

电力法的起源及其用于城市大小分布的空间分形结构

Origin of power laws and their spatial fractal structure for city-size distributions

论文作者

Mori, Tomoya, Akamatsu, Takashi, Takayama, Yuki, Osawa, Minoru

论文摘要

尽管随着时间的流逝,相对城市规模的波动性较高,但城市规模的分布遵循各个国家的近似权力法。我们对美国和日本的经验证据表明,缩放法源于由于工业位置的协调,因此源于空间分形结构。尽管随着时间的流逝,各个行业的位置发生了很大的变化,但存在持久的模式,因为在给定时间,只有在较大的城市中才能找到更本地化的行业。空间组织表现出层次结构,其中较大的城市被隔开,以作为周围较小城市的中心,从而在不同的空间尺度上产生递归模式。在我们对观察到的规律性的理论上复制中,行业规模经济的多样性会引起其位置模式的多样性,这通过对行业和人口的空间协调来转化为城市规模的多样性。城市大小的力量法是蒙特卡洛样品的固定状态样品的一般特征,这是由于假设经济中自发的空间分形结构而产生的。确定的规律性在每个区域范围内揭示了对可行城市规划的限制。旨在利用各个城市特征的基于地点的政策的成功或失败应取决于其与其他城市的空间关系,但要遵守全国性的空间分形结构。

City-size distributions follow an approximate power law in various countries despite high volatility in relative city sizes over time. Our empirical evidence for the United States and Japan indicates that the scaling law stems from a spatial fractal structure owing to the coordination of industrial locations. While the locations of individual industries change considerably over time, there is a persistent pattern in that more localized industries at a given time are found only in larger cities. The spatial organization of cities exhibits a hierarchical structure in which larger cities are spaced apart to serve as centers for surrounding smaller cities, generating a recursive pattern across different spatial scales. In our theoretical replication of the observed regularities, diversity in scale economy among industries induces diversity in their location pattern, which translates into diversity in city size via spatial coordination of industries and population. The city-size power law is a generic feature of Monte-Carlo samples of stationary states resulting from the spontaneous spatial fractal structure in the hypothetical economy. The identified regularities reveal constraints on feasible urban planning at each regional scale. The success or failure of place-based policies designed to take advantage of individual cities' characteristics should depend on their spatial relationships with other cities, subject to the nationwide spatial fractal structure.

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