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The basic and effective reproduction numbers are widely used metrics for characterizing the dynamics of infectious disease epidemics. However, the interpretation of these numbers is based on the assumption of homogeneous mixing and may not…

Populations and Evolution · Quantitative Biology 2026-03-24 Zahra Ghadiri , Jari Saramäki , Takayuki Hiraoka

Accurate estimates of the reproduction ratio are crucial to project infectious disease epidemic evolution and guide public health response. Here, we prove that estimates of the reproduction ratio based on inference from surveillance data…

Physics and Society · Physics 2025-01-08 Piero Birello , Michele Re Fiorentin , Boxuan Wang , Vittoria Colizza , Eugenio Valdano

In the last year many public health decisions were based on real-time monitoring the spread of the ongoing COVID-19 pandemic. For this one often considers the reproduction number which measures the amount of secondary cases produced by a…

Applications · Statistics 2021-09-01 Jan Pablo Burgard , Stefan Heyder , Thomas Hotz , Tyll Krueger

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

Near-real time estimations of the effective reproduction number are among the most important tools to track the progression of a pandemic and to inform policy makers and the general public. However, these estimations rely on reported case…

Physics and Society · Physics 2022-07-25 Eszter Bokányi , Zsolt Vizi , Júlia Koltai , Gergely Röst , Márton Karsai

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

Daily pandemic surveillance, often achieved through the estimation of the reproduction number, constitutes a critical challenge for national health authorities to design countermeasures. In an earlier work, we proposed to formulate the…

Signal Processing · Electrical Eng. & Systems 2022-06-29 Barbara Pascal , Patrice Abry , Nelly Pustelnik , Stéphane G. Roux , Rémi Gribonval , Patrick Flandrin

This paper proposes a structural econometric approach to estimating the basic reproduction number ($\mathcal{R}_{0}$) of Covid-19. This approach identifies $\mathcal{R}_{0}$ in a panel regression model by filtering out the effects of…

Econometrics · Economics 2023-09-19 Ida Johnsson , M. Hashem Pesaran , Cynthia Fan Yang

Reproduction numbers are widely used for the estimation and prediction of epidemic spreading processes over networks. However, reproduction numbers do not enable estimation and prediction in individual communities within networks, and they…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Baike She , Philip E. Paré , Matthew Hale

The reproductive number R_0 (and its value after initial disease emergence R) has long been used to predict the likelihood of pathogen invasion, to gauge the potential severity of an epidemic, and to set policy around interventions.…

Populations and Evolution · Quantitative Biology 2020-06-29 Clara L. Shaw , David A. Kennedy

We investigate the problem of estimating the distribution of the individual reproduction number governing the COVID-19 pandemic. Under the assumption that this random variable follows a Negative Binomial distribution, we focus on…

Applications · Statistics 2021-01-21 Alexander Braumann , Jonas Krampe , Jens-Peter Kreiss , Efstathios Paparoditis

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 emergence of Covid-19 requires new effective tools for epidemiological surveillance. Spatio-temporal disease mapping models, which allow dealing with highly disaggregated spatial and temporal units of analysis, are a priority in this…

Applications · Statistics 2020-11-10 Miguel A. Martinez-Beneito , Jorge Mateu , Paloma Botella-Rocamora

This is a pedagogical paper on estimating the number of people that can be infected by one infectious person during an epidemic outbreak, known as the reproduction number. Knowing the number is crucial for developing policy responses. There…

Populations and Evolution · Quantitative Biology 2020-06-30 H. Susanto , V. R. Tjahjono , A. Hasan , M. F. Kasim , N. Nuraini , E. R. M. Putri , R. Kusdiantara , H. Kurniawan

Monitoring the Covid19 pandemic constitutes a critical societal stake that received considerable research efforts. The intensity of the pandemic on a given territory is efficiently measured by the reproduction number, quantifying the rate…

Machine Learning · Computer Science 2023-04-19 Gersende Fort , Barbara Pascal , Patrice Abry , Nelly Pustelnik

The effective reproduction number, R(t), is a central point in the study of infectious diseases. It establishes in an explicit way the extent of an epidemic spread process in a population. The current estimation methods for the time…

Populations and Evolution · Quantitative Biology 2021-02-26 D. C. P. Jorge , J. F. Oliveira , J. G. V. Miranda , R. F. S. Andrade , S. T. R. Pinho

The recent coronavirus disease (COVID-19) outbreak has dramatically increased the public awareness and appreciation of the utility of dynamic models. At the same time, the dissemination of contradictory model predictions has highlighted…

Populations and Evolution · Quantitative Biology 2020-06-26 Gemma Massonis , Julio R. Banga , Alejandro F. Villaverde

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

Branching process inspired models are widely used to estimate the effective reproduction number -- a useful summary statistic describing an infectious disease outbreak -- using counts of new cases. Case data is a real-time indicator of…

Methodology · Statistics 2023-10-03 Isaac H. Goldstein , Jon Wakefield , Volodymyr M. Minin

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
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