This work aims to assess the risks of Covid-19 disease spread in diverse daily-life situations (referred to as scenarios) involving crowds of unmasked pedestrians, mostly outdoors. More concretely, we develop a method to infer the global number of new infections from patchy observations of pedestrians. The method relies on ad hoc spatially resolved models for disease transmission via virus-laden respiratory droplets, which are fit to existing exposure studies about Covid-19. The approach is applied to the detailed field data about pedestrian trajectories and orientations that we acquired during the pandemic. This allows us to rank the investigated scenarios by the transmission risks that they present; importantly, the obtained hierarchy of risks is conserved across all our transmission models (except the most pessimistic ones): Street cafés present the largest average rate of new infections caused by an attendant, followed by busy outdoor markets, and then metro and train stations, whereas the risks incurred while walking on fairly busy streets (average density around 0.1 person/m²) are comparatively quite low. Models that assume isotropic transmission of the virus fail to reproduce these results. In scenarios with a moving crowd, we find that density is the main factor influencing the estimated infection rate. Finally, our study explores the efficiency of street and venue redesigns in mitigating the viral spread: While the benefits of enforcing one-way foot traffic in (wide) walkways are unclear, changing the geometry of queues substantially affects disease transmission risks.
Covid-19 | Crowd dynamics | EpidemiologyE fficient collective action to curb the spread of epidemics in general, and of the current Covid-19 pandemic in particular, requires input from a variety of disciplinary fields, from microscale fluid dynamics (to understand the propagation of virus or bacteria-laden droplets (1, 2)) to macroscale epidemiology. At present, the weak link between these two scales hinders the prediction of how the SARS-CoV-2 virus at the origin of the pandemic will spread in a given crowd.Gatherings of people are encountered both in enclosed spaces (such as restaurants, offices, private accommodation or fitness centers), where statistical data may be insightful a posteriori from an epidemiological standpoint (3-5), as well as in non-confined environments. Most Covid-19 oubreaks are certainly associated with indoor settings (6), but nonetheless a minority of clusters -at least a few percent, as a tentative estimate (5, 7-9) -reportedly originate in outdoor or mixed indoor/outdoor settings, e.g., on building sites. Viral transmissions outdoors raise a specific challenge because they are inherently hard to trace and document, but also hard to circumscribe, as they bring together unrelated people * . These difficulties are a hurdle to the control of outbreaks.Accordingly, recommendations to wear a face covering out- * To wit, more than three out of four new infections in France cannot be linked to a reported Covid-19 case a...