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The mathematics of the reproduction number R for Covid-19: A primer for demographers

    Luis Rosero-Bixby, Tim Miller

Vienna Yearbook of Population Research 2022, pp. 143-166, 2021/12/15

Demographic aspects of the COVID-19 pandemic and its consequences

doi: 10.1553/populationyearbook2022.res1.3


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doi:10.1553/populationyearbook2022.res1.3

Abstract

The reproduction number R is a key indicator used to monitor the dynamics of Covid-19 and to assess the effects of infection control strategies that frequently have high social and economic costs. Despite having an analog in demography’s “net reproduction rate” that has been routinely computed for a century, demographers may not be familiar with the concept and measurement of R in the context of Covid-19. This article is intended to be a primer for understanding and estimating R in demography. We show that R can be estimated as a ratio between the numbers of new cases today divided by the weighted average of cases in previous days. We present two alternative derivations for these weights based on how risks have changed over time: constant vs. exponential decay. We then provide estimates of these weights, and demonstrate their use in calculating R to trace the course of the first pandemic year in 53 countries.

Keywords: COVID-19; Reproductive number R; Demographic methods; Net reproduction rate

Published Online: 2021/12/15 14:00:00

Object Identifier: 0xc1aa5572 0x003fa5cf

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Rights: © The Author(s), Austrian Academy of Sciences, Vienna 2024 This article/book is published under the terms of the Creative Commons Attribution 4.0 International Public License (https://creativecommons.org/licenses/by/4.0/) that allows the sharing, use and adaptation in any medium, provided that the user gives appropriate credit, provides a link to the license, and indicates if changes were made.