A Problem in Human Dynamics: Modelling the Population Density of a Social Space
Abstract
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.
Cite
@article{arxiv.2002.06617,
title = {A Problem in Human Dynamics: Modelling the Population Density of a Social Space},
author = {Mark Levene and Trevor Fenner},
journal= {arXiv preprint arXiv:2002.06617},
year = {2020}
}
Comments
18 pages, 5 figures. This is a pre-print of an article published in Journal of Building Performance Simulation. The final authenticated version is available online at: this https https://doi.org/10.1080/19401493.2019.1704062