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On the use of the reproduction number for SARS‐CoV‐2: Estimation, misinterpretations and relationships with other ecological measures

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  • Nicholas P. Jewell
  • Joseph A. Lewnard

Abstract

The basic reproduction number, R0, and its real‐time analogue, Rt, are summary measures that reflect the ability of an infectious disease to spread through a population. Estimation methods for Rt have a long history, have been widely developed and are now enhanced by application to the COVID‐19 pandemic. While retrospective analyses of Rt have provided insight into epidemic dynamics and the effects of control strategies in prior outbreaks, misconceptions around the interpretation of Rt have arisen with broader recognition and near real‐time monitoring of this parameter alongside reported case data during the COVID‐19 pandemic. Here, we discuss some widespread misunderstandings regarding the use of Rt as a barometer for population risk and its related use as an ‘on/off’ switch for policy decisions regarding relaxation of non‐pharmaceutical interventions. Computation of Rt from downstream data (e.g. hospitalizations) when infection counts are unreliable exacerbates lags between when transmission happens and when events are recorded. We also discuss analyses that have shown various relationships between Rt and measures of mobility, vaccination coverage and a test–trace–isolation intervention in different settings.

Suggested Citation

  • Nicholas P. Jewell & Joseph A. Lewnard, 2022. "On the use of the reproduction number for SARS‐CoV‐2: Estimation, misinterpretations and relationships with other ecological measures," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(S1), pages 16-27, November.
  • Handle: RePEc:bla:jorssa:v:185:y:2022:i:s1:p:s16-s27
    DOI: 10.1111/rssa.12860
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    1. Katelyn M Gostic & Lauren McGough & Edward B Baskerville & Sam Abbott & Keya Joshi & Christine Tedijanto & Rebecca Kahn & Rene Niehus & James A Hay & Pablo M De Salazar & Joel Hellewell & Sophie Meaki, 2020. "Practical considerations for measuring the effective reproductive number, Rt," PLOS Computational Biology, Public Library of Science, vol. 16(12), pages 1-21, December.
    2. Kris V. Parag & Robin N. Thompson & Christl A. Donnelly, 2022. "Are epidemic growth rates more informative than reproduction numbers?," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(S1), pages 5-15, November.
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