1. Department of Medicine, Stanford University , Stanford, CA , USA
2. The Pirbright Institute , Pirbright, Woking, Surrey , UK
3. Department of Statistics, University of Oxford , Oxford , UK
4. Pandemic Sciences Institute, Nuffield Department of Medicine, University of Oxford , Oxford , UK
5. Big Data Institute, Li Ka Shing Centre for Health Information and Discovery, Nuffield Department of Medicine, University of Oxford , Oxford , UK