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Diversity of individual mobility patterns and emergence of aggregated scaling laws

机译:个体流动模式的多样性和汇总缩放定律的出现

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摘要

Uncovering human mobility patterns is of fundamental importance to the understanding of epidemic spreading, urban transportation and other socioeconomic dynamics embodying spatiality and human travel. According to the direct travel diaries of volunteers, we show the absence of scaling properties in the displacement distribution at the individual level,while the aggregated displacement distribution follows a power law with an exponential cutoff. Given the constraint on total travelling cost, this aggregated scaling law can be analytically predicted by the mixture nature of human travel under the principle of maximum entropy. A direct corollary of such theory is that the displacement distribution of a single mode of transportation should follow an exponential law, which also gets supportive evidences in known data. We thus conclude that the travelling cost shapes the displacement distribution at the aggregated level.
机译:揭示人类流动性模式对于理解流行性传播,城市交通以及体现空间和人类出行的其他社会经济动态至关重要。根据志愿者的直接旅行日记,我们显示出个体水平位移分布中没有缩放特性,而总位移分布遵循幂函数定律且具有指数截止值。给定总旅行成本的约束,可以根据人的旅行在最大熵原理下的混合性质来分析地预测该总的缩放定律。这种理论的直接推论是,单一运输方式的位移分布应遵循指数定律,这在已知数据中也得到了支持性证据。因此,我们得出的结论是,旅行成本决定了总水平上的位移分布。

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