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Estimating the overdispersion in COVID-19 transmission using outbreak sizes outside China

Open access
Endo, Akira, Centre for the Mathematical Modelling of Infectious Diseases COVID-19 Working Group, Abbott, Sam, Kucharski, Adam J., Funk, Sebastian·2020·Wellcome Open Research

Abstract

Background: A novel coronavirus disease (COVID-19) outbreak has now spread to a number of countries worldwide. While sustained transmission chains of human-to-human transmission suggest high basic reproduction number R 0 , variation in the number of secondary transmissions (often characterised by so-called superspreading events) may be large as some countries have observed fewer local transmissions than others. Methods: We quantified individual-level variation in COVID-19 transmission by applying a mathematical model to observed outbreak sizes in affected countries. We extracted the number of imported and local cases in the affected countries from the World Health Organization situation report and applied a branching process model where the number of secondary transmissions was assumed to follow a negative-binomial distribution. Results: Our model suggested a high degree of individual-level variation in the transmission of COVID-19. Within the current consensus range of R 0 (2-3), the overdispersion parameter k of a negative-binomial distribution was estimated to be around 0.1 (median estimate 0.1; 95% CrI: 0.05-0.2 for R0 = 2.5), suggesting that 80% of secondary transmissions may have been caused by a small fraction of infectious individuals (~10%). A joint estimation yielded likely ranges for R 0 and k (95% CrIs: R 0 1.4-12; k 0.04-0.2); however, the upper bound of R 0 was not well informed by the model and data, which did not notably differ from that of the prior distribution. Conclusions: Our finding of a highly-overdispersed offspring distribution highlights a potential benefit to focusing intervention efforts on superspreading. As most infected individuals do not contribute to the expansion of an epidemic, the effective reproduction number could be drastically reduced by preventing relatively rare superspreading events.

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Research works printed but not linked: 5

  1. M Hancock, 2020, Press release: Government outlines further plans to support health and social care system in fight against COVID-19
  2. S Watanabe, 2013, A Widely Applicable Bayesian Information Criterion, 14, 867-897, 10.1088/0953-8984/23/18/184115 · doi:10.1088/0953-8984/23/18/184115
  3. A Endo, 2020, Extended data: Estimating the overdispersion in COVID-19 transmission using outbreak sizes outside China., Zenodo.
  4. A Endo, 2020, Estimating the amount of superspreading using outbreak sizes of COVID-19 outside China (Version v1.0.0)., Zenodo.
  5. Q Bi, 2020, Epidemiology and Transmission of COVID-19 in Shenzhen China: Analysis of 391 cases and 1,286 of their close contacts., medRxiv., 10.1101/2020.03.03.20028423 · DOI

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Metadata

Authors
Endo, A., Centre for the Mathematical Modelling of Infectious Diseases COVID-19 Working Group, Abbott, S., Kucharski, A. J., & Funk, S.
Venue
Wellcome Open Research
Published
2020-04-09
Volume
5
Pages
67
ISSN
2398-502X (ISSN-L)
OpenAlex
W4236624053
Cited by
328
References
16
FWCI
12.05
Type
journal article
Language
en
Open access
gold
Licence
creativecommons.org/licenses/by/4.0/ (tdm)
Funders
  • Alan Turing Institute
  • The Nakajima Foundation
  • Wellcome Trust (206250, 210758)

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Endo, A., Centre for the Mathematical Modelling of Infectious Diseases COVID-19 Working Group, Abbott, S., Kucharski, A. J., & Funk, S. (2020). Estimating the overdispersion in COVID-19 transmission using outbreak sizes outside China. Wellcome Open Research. https://doi.org/10.12688/wellcomeopenres.15842.1

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