The emergence of social networks and the definition of suitable generative models for synthetic yet realistic social graphs are widely studied problems in the literature. By not being tied to any real data, random graph models are inadequate in many practical contexts , including areas of research, such as computational epidemiology, which are recently high on the agenda. At the same time, the so-called contact networks describe interactions, rather than relationships, and are strongly dependent on the application and on the size and quality of the sample data used to infer them. The aim of our work is to fill the gap between these two approaches by defining a parametric data-driven model for urban social networks -- implemented and released as open source software. Given a territory of interest,  we construct an age-stratified and geo-referenced synthetic population whose individuals are connected by either kinship or friendship. The factors governing the structure of the obtained network, such as the dependency of friendship upon distance and age composition , are thoroughly studied through extensive simulations focused on three Italian cities of different size.
The emergence of social networks and the definition of suitable generative models for synthetic yet realistic social graphs are widely studied problems in the literature. By not being tied to any real data, random graph models cannot capture all the subtleties of real networks and are inadequate for many practical contexts -- including areas of research, such as computational epidemiology, which are recently high on the agenda. At the same time, the so-called contact networks describe interactions, rather than relationships, and are strongly dependent on the application and on the size and quality of the sample data used to infer them. To fill the gap between these two approaches , we present a data-driven model for urban social networks , implemented and released as open source software. Given a territory of interest, and only based on widely available aggregated demographic and social-mixing data, we construct an age-stratified and geo-referenced synthetic population whose individuals are connected by "strong ties" of two types: intra-household (e.g., kinship) or friendship. While household links are entirely data-driven, we propose a parametric probabilistic model for friendship, based on the assumption that distances and age differences play a role, and that not all individuals are equally sociable. The demographic and geographic factors governing the structure of the obtained network, under different configurations , are thoroughly studied through extensive simulations focused on three Italian cities of different size.
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