A space-time mobility for social communities
by Bruno Apolloni
Abstract: We introduce a wait and chase scheme to model the reciprocal mobility â€¨between people belonging to a social community. The membership presupposes that, besides purely occasional encounters, people are motivated to meet other members of the community, while the social character of the latter makes each person met an equivalent target. This calls for a mobility in the family of Levy jumps alternating a wandering period within a limited environment -- waiting phase -- with jumping to a new site constituting the target of a-- chase phase. Of this dynamic at moment we describe the distribution law of the inter-contact times in terms of a specially extended three parameter Pareto distribution law. On the one side we are able to numerically reproduce this distribution through a constructive model of the wait and chase dynamics. On the other side may adapt this distribution to the experimental data from a large mobility track dataset expressly collected with this objective. Namely, we may both infer the parameters of the Pareto distribution from these data, through specific tools of Algorithmic Inference, and connect them to specific features of single individual in the true thread of the Palm calculus philosophy.
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