Zipf's law for cities: An explanation
Zipf's law for cities: An explanation
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DOI：
10.1162/003355399556133
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发表时间：
1999-08-01
影响因子：
13.7
通讯作者：
Gabaix, X
中科院分区：
文献类型：
--
作者：
Gabaix, X
齐普夫定律对可接受的局部增长模型类别有非常严格的约束。它说，对于大多数国家来说，城市的规模分布惊人地符合幂律：人口大于 S 的城市数量与 1/S 成正比。假设，至少在上尾部，所有城市都遵循某种比例增长过程（这似乎已得到经验验证）。这会自动导致它们的分布收敛于齐普夫定律。
Zipf's law is a very tight constraint on the class of admissible models of local growth. It says that for most countries the size distribution of cities strikingly fits a power law: the number of cities with populations greater than S is proportional to 1/S. Suppose that, at least in the upper tail, all cities follow some proportional growth process (this appears to be verified empirically). This automatically leads their distribution to converge to Zipf's law.