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The policies implemented to hinder the COVID-19 outbreak represent one of thelargest critical events in history. The understanding of this process isfundamental for crafting and tailoring post-disaster relief. In this work weperform a massive data analysis, through geolocalized data from 13M Facebookusers, on how such a stress affected mobility patterns in France, Italy and UK.We find that the general reduction of the overall efficiency in the network ofmovements is accompanied by geographical fragmentation with a massive reductionof long-range connections. The impact, however, differs among nations accordingto their initial mobility structure. Indeed, we find that the mobility networkafter the lockdown is more concentrated in the case of France and UK and moredistributed in Italy. Such a process can be approximated through percolation toquantify the substantial impact of the lockdown.

Human Mobility in Response to COVID-19 in France, Italy and UK