Improved estimation of time-varying reproduction numbers at low case incidence and between epidemic waves.

We construct a recursive Bayesian smoother, termed EpiFilter, for estimating the effective reproduction number, R, from the incidence of an infectious disease in real time and retrospectively. Our approach borrows from Kalman filtering theory, is quick and easy to compute, generalisable, determinist...

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Autor principal: Kris V Parag
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Lenguaje:EN
Publicado: Public Library of Science (PLoS) 2021
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Acceso en línea:https://doaj.org/article/cf1e29876a2d4e0a90b71d5341176ed3
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spelling oai:doaj.org-article:cf1e29876a2d4e0a90b71d5341176ed32021-12-02T19:57:50ZImproved estimation of time-varying reproduction numbers at low case incidence and between epidemic waves.1553-734X1553-735810.1371/journal.pcbi.1009347https://doaj.org/article/cf1e29876a2d4e0a90b71d5341176ed32021-09-01T00:00:00Zhttps://doi.org/10.1371/journal.pcbi.1009347https://doaj.org/toc/1553-734Xhttps://doaj.org/toc/1553-7358We construct a recursive Bayesian smoother, termed EpiFilter, for estimating the effective reproduction number, R, from the incidence of an infectious disease in real time and retrospectively. Our approach borrows from Kalman filtering theory, is quick and easy to compute, generalisable, deterministic and unlike many current methods, requires no change-point or window size assumptions. We model R as a flexible, hidden Markov state process and exactly solve forward-backward algorithms, to derive R estimates that incorporate all available incidence information. This unifies and extends two popular methods, EpiEstim, which considers past incidence, and the Wallinga-Teunis method, which looks forward in time. We find that this combination of maximising information and minimising assumptions significantly reduces the bias and variance of R estimates. Moreover, these properties make EpiFilter more statistically robust in periods of low incidence, where several existing methods can become destabilised. As a result, EpiFilter offers improved inference of time-varying transmission patterns that are advantageous for assessing the risk of upcoming waves of infection or the influence of interventions, in real time and at various spatial scales.Kris V ParagPublic Library of Science (PLoS)articleBiology (General)QH301-705.5ENPLoS Computational Biology, Vol 17, Iss 9, p e1009347 (2021)
institution DOAJ
collection DOAJ
language EN
topic Biology (General)
QH301-705.5
spellingShingle Biology (General)
QH301-705.5
Kris V Parag
Improved estimation of time-varying reproduction numbers at low case incidence and between epidemic waves.
description We construct a recursive Bayesian smoother, termed EpiFilter, for estimating the effective reproduction number, R, from the incidence of an infectious disease in real time and retrospectively. Our approach borrows from Kalman filtering theory, is quick and easy to compute, generalisable, deterministic and unlike many current methods, requires no change-point or window size assumptions. We model R as a flexible, hidden Markov state process and exactly solve forward-backward algorithms, to derive R estimates that incorporate all available incidence information. This unifies and extends two popular methods, EpiEstim, which considers past incidence, and the Wallinga-Teunis method, which looks forward in time. We find that this combination of maximising information and minimising assumptions significantly reduces the bias and variance of R estimates. Moreover, these properties make EpiFilter more statistically robust in periods of low incidence, where several existing methods can become destabilised. As a result, EpiFilter offers improved inference of time-varying transmission patterns that are advantageous for assessing the risk of upcoming waves of infection or the influence of interventions, in real time and at various spatial scales.
format article
author Kris V Parag
author_facet Kris V Parag
author_sort Kris V Parag
title Improved estimation of time-varying reproduction numbers at low case incidence and between epidemic waves.
title_short Improved estimation of time-varying reproduction numbers at low case incidence and between epidemic waves.
title_full Improved estimation of time-varying reproduction numbers at low case incidence and between epidemic waves.
title_fullStr Improved estimation of time-varying reproduction numbers at low case incidence and between epidemic waves.
title_full_unstemmed Improved estimation of time-varying reproduction numbers at low case incidence and between epidemic waves.
title_sort improved estimation of time-varying reproduction numbers at low case incidence and between epidemic waves.
publisher Public Library of Science (PLoS)
publishDate 2021
url https://doaj.org/article/cf1e29876a2d4e0a90b71d5341176ed3
work_keys_str_mv AT krisvparag improvedestimationoftimevaryingreproductionnumbersatlowcaseincidenceandbetweenepidemicwaves
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