A spline-based time-varying reproduction number for modelling epidemiological outbreaks

Author:

Pircalabelu Eugen1

Affiliation:

1. UCLouvain, Institute of Statistics, Biostatistics and Actuarial Sciences , Voie du Roman Pays 20, 1348 Louvain-la-Neuve , Belgium

Abstract

Abstract We develop in this manuscript a method for performing estimation and inference for the reproduction number of an epidemiological outbreak, focusing on the COVID-19 epidemic. The estimator is time-dependent and uses spline modelling to adapt to changes in the outbreak. This is accomplished by directly modelling the series of new infections as a function of time and subsequently using the derivative of the function to define a time-varying reproduction number, which is then used to assess the evolution of the epidemic for several countries.

Publisher

Oxford University Press (OUP)

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

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3. A mechanistic and data-driven reconstruction of the time-varying reproduction number: Application to the COVID-19 epidemic;Cazelles;PLOS Computational Biology,2021

4. A new framework and software to estimate time-varying reproduction numbers during epidemics;Cori;American Journal of Epidemiology,2013

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