论文标题
人类动态中的一个问题：建模社会空间的人口密度
A Problem in Human Dynamics: Modelling the Population Density of a Social Space
论文作者
论文摘要
人类的动力和社会物理学提出了统计模型，可以解释并为我们提供更好地了解社会现象。在这里，我们通过模拟进入和退出空间作为出生死亡过程的动态来确定社交空间的人口密度分布的问题。我们表明，对于基于代理的简单模型，进入和退出空间的概率取决于空间中当前存在的代理数量，该空间的总体密度遵循伽马分布。我们还提供了通过将模型应用于办公楼中公共空间的占用痕迹的数据集，以支持模型的有效性。
Human dynamics and sociophysics suggest statistical models that may explain and provide us with better insight into social phenomena. Here we tackle the problem of determining the distribution of the population density of a social space over time by modelling the dynamics of agents entering and exiting the space as a birth-death process. We show that, for a simple agent-based model in which the probabilities of entering and exiting the space depends on the number of agents currently present in the space, the population density of the space follows a gamma distribution. We also provide empirical evidence supporting the validity of the model by applying it to a data set of occupancy traces of a common space in an office building.
