The effective reproduction number as a prelude to statistical estimation of time-dependent epidemic trends

Hiroshi Nishiura, Gerardo Chowell

Research output: Chapter in Book/Report/Conference proceedingChapter

29 Citations (Scopus)

Abstract

Although the basic reproduction number, R 0, is useful for understanding the transmissibility of a disease and designing various intervention strategies, the classic threshold quantity theoretically assumes that the epidemic first occurs in a fully susceptible population, and hence, R 0 is essentially a mathematically defined quantity. In many instances, it is of practical importance to evaluate time-dependent variations in the transmission potential of infectious diseases. Explanation of the time course of an epidemic can be partly achieved by estimating the effective reproduction number, R(t), defined as the actual average number of secondary cases per primary case at calendar time t (for t >0). R(t) shows time-dependent variation due to the decline in susceptible individuals (intrinsic factors) and the implementation of control measures (extrinsic factors). If R(t)<1, it suggests that the epidemic is in decline and may be regarded as being under control at time t (vice versa, if R(t)>1). This chapter describes the primer of mathematics and statistics of R(t) and discusses other similar markers of transmissibility as a function of time.

Original language English (US) Mathematical and Statistical Estimation Approaches in Epidemiology Springer Netherlands 103-121 19 9789048123124 https://doi.org/10.1007/978-90-481-2313-1_5 Published - 2009

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Reproduction number
Statistical Estimation
Calendar
Basic Reproduction number
Infectious Diseases
Statistics
Evaluate
Trends

ASJC Scopus subject areas

• Mathematics(all)

Cite this

Nishiura, H., & Chowell, G. (2009). The effective reproduction number as a prelude to statistical estimation of time-dependent epidemic trends. In Mathematical and Statistical Estimation Approaches in Epidemiology (pp. 103-121). Springer Netherlands. https://doi.org/10.1007/978-90-481-2313-1_5

The effective reproduction number as a prelude to statistical estimation of time-dependent epidemic trends. / Nishiura, Hiroshi; Chowell, Gerardo.

Mathematical and Statistical Estimation Approaches in Epidemiology. Springer Netherlands, 2009. p. 103-121.

Research output: Chapter in Book/Report/Conference proceedingChapter

Nishiura, H & Chowell, G 2009, The effective reproduction number as a prelude to statistical estimation of time-dependent epidemic trends. in Mathematical and Statistical Estimation Approaches in Epidemiology. Springer Netherlands, pp. 103-121. https://doi.org/10.1007/978-90-481-2313-1_5
Nishiura H, Chowell G. The effective reproduction number as a prelude to statistical estimation of time-dependent epidemic trends. In Mathematical and Statistical Estimation Approaches in Epidemiology. Springer Netherlands. 2009. p. 103-121 https://doi.org/10.1007/978-90-481-2313-1_5
Nishiura, Hiroshi ; Chowell, Gerardo. / The effective reproduction number as a prelude to statistical estimation of time-dependent epidemic trends. Mathematical and Statistical Estimation Approaches in Epidemiology. Springer Netherlands, 2009. pp. 103-121
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