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In the face of an infectious disease, a key epidemiological measure is the basic reproduction number, which quantifies the average secondary infections caused by a single case in a susceptible population. In practice, the effective…

Physics and Society · Physics 2025-03-11 Xin-Jian Xu , Song-Jie He , Li-Jie Zhang

In this paper, we use a Bayesian method to estimate the effective reproduction number (R(t)), in the context of monitoring the time evolution of the COVID-19 pandemic in Brazil at different geographic levels. The focus of this study is to…

Applications · Statistics 2023-06-05 Edson Porto da Silva , Antônio Marcus Nogueira Lima

Due to its ability to summarise 'real-time' epidemic behaviour, the time-dependent reproduction number, Rt, is a useful metric for tracking pathogen transmission and quantifying the effects of interventions during infectious disease…

Populations and Evolution · Quantitative Biology 2026-03-12 Ioana Bouros , Robin Thompson , David Gavaghan , Ben Lambert

During an infectious disease outbreak, public health decision-makers require real-time monitoring of disease transmission to respond quickly and intelligently. In these settings, a key measure of transmission is the instantaneous…

Methodology · Statistics 2025-02-07 Gary Hettinger , David Rubin , Jing Huang

The time-dependent reproduction number Rt can be used to track pathogen transmission and to assess the efficacy of interventions. This quantity can be estimated by fitting renewal equation models to time series of infectious disease case…

Populations and Evolution · Quantitative Biology 2025-01-30 Ioana Bouros , Robin Thompson , David Gavaghan , Ben Lambert

When an infectious disease strikes a population, the number of newly reported cases is often the only available information that one can obtain during early stages of the outbreak. An important goal of early outbreak analysis is to obtain a…

Quantitative Methods · Quantitative Biology 2013-05-30 Bahman Davoudi , Babak Pourbohloul , Joel Miller , Rafael Meza , Lauren Ancel Meyers , David J. D. Earn

A simplified method to compute $R_t$, the Effective Reproduction Number, is presented. The method relates the value of $R_t$ to the estimation of the doubling time performed with a local exponential fit. The condition $R_t = 1$ corresponds…

The effective reproduction number $R_t$ measures an infectious disease's transmissibility as the number of secondary infections in one reproduction time in a population having both susceptible and non-susceptible hosts. Current approaches…

Methodology · Statistics 2020-12-04 Marcos A. Capistrán , Antonio Capella , J. Andrés Christen

The time-varying reproduction number ($R_t$) gives an indication of the trajectory of an infectious disease outbreak. Commonly used frameworks for inferring $R_t$ from epidemiological time series include those based on compartmental models…

The time-varying reproduction number $R(t)$ measures the number of new infections per infectious individual and is closely correlated with the time series of infection incidence by definition. The timings of actual infections are rarely…

Populations and Evolution · Quantitative Biology 2023-07-10 Oliver Eales , Steven Riley

Nowcasting and forecasting of epidemic spreading rely on incidence series of reported cases to derive the fundamental epidemiological parameters for a given pathogen. Two relevant drawbacks for predictions are the unknown fractions of…

Populations and Evolution · Quantitative Biology 2022-08-31 Guilherme S. Costa , Wesley Cota , Silvio C. Ferreira

Basic and instantaneous reproduction numbers, "R" _"0" and "R" _"t" , are important metrics to assess progress of an epidemic and effectiveness of preventative interventions undertaken, and also to estimate coverage needed for vaccination.…

Populations and Evolution · Quantitative Biology 2025-11-07 Derek Marsh

The time-varying effective reproduction number $R_t$ is a widely used indicator of transmission dynamics during infectious disease outbreaks. Timely estimates of $R_t$ can be obtained from observations close to the original date of…

Methodology · Statistics 2024-07-15 Adrian Lison , Sam Abbott , Jana Huisman , Tanja Stadler

The expected number of secondary infections arising from each index case, referred to as the reproduction or $R$ number, is a vital summary statistic for understanding and managing epidemic diseases. There are many methods for estimating…

Applications · Statistics 2022-02-22 Joe Meagher , Nial Friel

Concentrations of pathogen genomes measured in wastewater have recently become available as a new data source to use when modeling the spread of infectious diseases. One promising use for this data source is inference of the effective…

Methodology · Statistics 2024-06-24 Isaac H. Goldstein , Daniel M. Parker , Sunny Jiang , Volodymyr M. Minin

The time varying effective reproduction number is an important parameter for communication and policy decisions during an epidemic. In this paper, we present new statistical methods for estimating the reproduction number based on the…

Methodology · Statistics 2025-10-02 Hans R. Künsch , Fabio Sigrist

A great issue of discussion of an infectious disease is its basic reproduction number R0, which provides an estimation of the contagiousness of the disease. When R0 > 1, the disease spread will potentially lead to an outbreak, such that of…

Populations and Evolution · Quantitative Biology 2021-01-18 Dimitrios G. Patsatzis

We consider a single outbreak susceptible-infected-recovered (SIR) model and corresponding estimation procedures for the effective reproductive number $\mathcal{R}(t)$. We discuss the estimation of the underlying SIR parameters with a…

Populations and Evolution · Quantitative Biology 2020-04-16 Ariel Cintrón-Arias , Carlos Castillo-Chávez , Luís M. A. Bettencourt , Alun L. Lloyd , H. T. Banks

We consider the problem of estimating the reproduction number $R_t$ of an epidemic for populations where the probability of detection of cases depends on a known covariate. We argue that in such cases the normal empirical estimator can fail…

Applications · Statistics 2020-12-04 Guido Sanguinetti

This study proposes a nonhomogeneous birth--death model which captures the dynamics of a directly transmitted infectious disease. Our model accounts for an important aspect of observed epidemic data in which only symptomatic infecteds are…

Applications · Statistics 2016-09-09 Jan van den Broek , Hiroshi Nishiura
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