A new method for the joint estimation of instantaneous reproductive number and serial interval during epidemics.

Although some methods for estimating the instantaneous reproductive number during epidemics have been developed, the existing frameworks usually require information on the distribution of the serial interval and/or additional contact tracing data. However, in the case of outbreaks of emerging infect...

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Main Authors: Chenxi Dai, Dongsheng Zhou, Bo Gao, Kaifa Wang
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2023-03-01
Series:PLoS Computational Biology
Online Access:https://doi.org/10.1371/journal.pcbi.1011021
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author Chenxi Dai
Dongsheng Zhou
Bo Gao
Kaifa Wang
author_facet Chenxi Dai
Dongsheng Zhou
Bo Gao
Kaifa Wang
author_sort Chenxi Dai
collection DOAJ
description Although some methods for estimating the instantaneous reproductive number during epidemics have been developed, the existing frameworks usually require information on the distribution of the serial interval and/or additional contact tracing data. However, in the case of outbreaks of emerging infectious diseases with an unknown natural history or undetermined characteristics, the serial interval and/or contact tracing data are often not available, resulting in inaccurate estimates for this quantity. In the present study, a new framework was specifically designed for joint estimates of the instantaneous reproductive number and serial interval. Concretely, a likelihood function for the two quantities was first introduced. Then, the instantaneous reproductive number and the serial interval were modeled parametrically as a function of time using the interpolation method and a known traditional distribution, respectively. Using the Bayesian information criterion and the Markov Chain Monte Carlo method, we ultimately obtained their estimates and distribution. The simulation study revealed that our estimates of the two quantities were consistent with the ground truth. Seven data sets of historical epidemics were considered and further verified the robust performance of our method. Therefore, to some extent, even if we know only the daily incidence, our method can accurately estimate the instantaneous reproductive number and serial interval to provide crucial information for policymakers to design appropriate prevention and control interventions during epidemics.
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spelling doaj.art-dfce098c38174567885dbdd55995a89a2023-05-08T05:31:18ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582023-03-01193e101102110.1371/journal.pcbi.1011021A new method for the joint estimation of instantaneous reproductive number and serial interval during epidemics.Chenxi DaiDongsheng ZhouBo GaoKaifa WangAlthough some methods for estimating the instantaneous reproductive number during epidemics have been developed, the existing frameworks usually require information on the distribution of the serial interval and/or additional contact tracing data. However, in the case of outbreaks of emerging infectious diseases with an unknown natural history or undetermined characteristics, the serial interval and/or contact tracing data are often not available, resulting in inaccurate estimates for this quantity. In the present study, a new framework was specifically designed for joint estimates of the instantaneous reproductive number and serial interval. Concretely, a likelihood function for the two quantities was first introduced. Then, the instantaneous reproductive number and the serial interval were modeled parametrically as a function of time using the interpolation method and a known traditional distribution, respectively. Using the Bayesian information criterion and the Markov Chain Monte Carlo method, we ultimately obtained their estimates and distribution. The simulation study revealed that our estimates of the two quantities were consistent with the ground truth. Seven data sets of historical epidemics were considered and further verified the robust performance of our method. Therefore, to some extent, even if we know only the daily incidence, our method can accurately estimate the instantaneous reproductive number and serial interval to provide crucial information for policymakers to design appropriate prevention and control interventions during epidemics.https://doi.org/10.1371/journal.pcbi.1011021
spellingShingle Chenxi Dai
Dongsheng Zhou
Bo Gao
Kaifa Wang
A new method for the joint estimation of instantaneous reproductive number and serial interval during epidemics.
PLoS Computational Biology
title A new method for the joint estimation of instantaneous reproductive number and serial interval during epidemics.
title_full A new method for the joint estimation of instantaneous reproductive number and serial interval during epidemics.
title_fullStr A new method for the joint estimation of instantaneous reproductive number and serial interval during epidemics.
title_full_unstemmed A new method for the joint estimation of instantaneous reproductive number and serial interval during epidemics.
title_short A new method for the joint estimation of instantaneous reproductive number and serial interval during epidemics.
title_sort new method for the joint estimation of instantaneous reproductive number and serial interval during epidemics
url https://doi.org/10.1371/journal.pcbi.1011021
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