城市人口流动的时空相关性
Space-time correlations in urban population flows
摘要：
城市人口流动在空间和时间上的相关性是令人感兴趣的。前者表现出与平方反比定律兼容的距离行为（对于大距离），遵循与$74\pm6$ km的尺度参数的总体洛伦兹依赖性。后者以$17.2\pm1.3$年的特征时间指数衰减。这些特征可以用一个具有Lagevinian性质的城市人口增长动力学模型来解释。基于该模型的数值模拟验证了其适用性。该模型还允许识别集体正常模式的城市增长动态，可以经验确定。
英文摘要：
Evidences are presented concerning tantalizing regularities in cities' population-flows in what regards to space and time correlations. The former exhibit a distance-behavior (for large distances) compatible with the inverse square law, following an overall Lorentzian dependence with an scale-parameter of $74\pm6$ km. The later decay exponentially with a characteristic time of $17.2\pm1.3$ years. These features can be explained by a dynamical model for cities' population-growth of a Lagevinian nature. Numerical simulations based on the model confirm its applicability. The model also allows for the identification of collective normal modes of city-growth dynamics that can be empirically identified.
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