https://doi.org/10.1140/epjs/s11734-021-00279-7
Regular Article
Dose–response functions and surrogate models for exploring social contagion in the Copenhagen Networks Study
1
Earth System Analysis and Complexity Science, Potsdam Institute for Climate Impact Research, Member of the Leibniz Association, Potsdam, Germany
2
Stockholm Resilience Centre, Stockholm University, Stockholm, Sweden
3
Institute for Theoretical Physics, University of Leipzig, Leipzig, Germany
4
Institute for Physics and Astronomy, University of Potsdam, Potsdam, Germany
5
Department of Applied Mathematics and Computer Science, Technical University of Denmark, Lyngby, Denmark
6
Center for Social Data Science, University of Copenhagen, Copenhagen, Denmark
7
Robert Koch-Institut, Berlin, Germany
8
Institute for Theoretical Biology, Humboldt University of Berlin, Berlin, Germany
Received:
15
March
2021
Accepted:
3
September
2021
Published online:
1
October
2021
Spreading dynamics and complex contagion processes on networks are important mechanisms underlying the emergence of critical transitions, tipping points and other non-linear phenomena in complex human and natural systems. Increasing amounts of temporal network data are now becoming available to study such spreading processes of behaviours, opinions, ideas, diseases and innovations to test hypotheses regarding their specific properties. To this end, we here present a methodology based on dose–response functions and hypothesis testing using surrogate data models that randomise most aspects of the empirical data while conserving certain structures relevant to contagion, group or homophily dynamics. We demonstrate this methodology for synthetic temporal network data of spreading processes generated by the adaptive voter model. Furthermore, we apply it to empirical temporal network data from the Copenhagen Networks Study. This data set provides a physically-close-contact network between several hundreds of university students participating in the study over the course of 3 months. We study the potential spreading dynamics of the health-related behaviour “regularly going to the fitness studio” on this network. Based on a hierarchy of surrogate data models, we find that our method neither provides significant evidence for an influence of a dose–response-type network spreading process in this data set, nor significant evidence for homophily. The empirical dynamics in exercise behaviour are likely better described by individual features such as the disposition towards the behaviour, and the persistence to maintain it, as well as external influences affecting the whole group, and the non-trivial network structure. The proposed methodology is generic and promising also for applications to other temporal network data sets and traits of interest.
© The Author(s) 2021
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