We present a sensitivity study of a wait and chase scheme introduced in a previous work to model the contact times 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 Lévy jumps alternating a wandering period within a limited environment – waiting phase – with jumping to a new site constituting the target of a chase phase. In this paper we aim to connect specific features of single individual dynamics to the overall evolution of the social community in the true thread of the Palm calculus philosophy. We base this study on a large mobility track dataset expressly collected with this objective.