We delineate “cities” independent of administrative boundaries in Japan by using a network theory‐based method and GPS‐based human mobility data. We divide the country into approximately 1 × 1 km² cells and detect the partition of cells that is optimal from the perspective of information theory. The resulting groups of cells are specified as cities. We find that the combination of two lognormal distributions better fits the city‐size distribution than a distribution with a Pareto upper tail. Moreover, we show that a jump diffusion process is the stochastic process of the city population underlying such a distribution.

中文翻译：

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用基于网络理论的方法和手机GPS数据描绘的“城市”的大小分布

通过使用基于网络理论的方法和基于GPS的人员流动数据，我们描绘了不受日本行政区域限制的“城市”。我们将国家划分为大约1×1 km ²的单元，并从信息论的角度检测出最佳的单元划分。生成的单元格组指定为城市。我们发现，两个对数正态分布的组合比具有帕累托上尾分布的分布更适合城市规模分布。而且，我们表明，跳跃扩散过程是这种分布背后的城市人口的随机过程。