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个人迁移模式的多样性与
群体聚集标度律之涌现
阎小勇,韩筱璞,汪秉宏,周涛
揭示人类移动模式对于疫情蔓延、都市交通,和其余表现为空间性与人类旅行的社会经济动力学之理解至关重要。根据直接的志愿者旅行日志,我们阐明:个人层面上的位移分布并无标度性质,而群体聚集之位移分布遵从幂函数规律并有指数截断。如果给定总旅行成本的限制,则可以通过基于最大熵原理的人类旅行之混合性质解析预测这种聚集的标度律。这一理论的一个直接的推论是,一个单模运输的位移分布应当遵循指数规律,这也得到已知数据的支持证据。所以我们得到结论:旅行成本形成群体聚集层次上的位移分布。
Scientific Report Vol.3 No. 02678 (2013)
Xiao-Yong Yan, Xiao-Pu Han, Bing-Hong Wang,& Tao Zhou
Diversity of individual mobility patterns and
emergence of aggregated scaling laws
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.
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期刊链接
http://www.nature.com/srep/2013/130918/srep02678/full/srep02678.html
中文介绍链接:
http://blog.sciencenet.cn/home.php?mod=space&uid=3075&do=blog&quickforward=1& id=726786
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