Medical Research Council Centre for Global Infectious Disease Analysis, Department of Infectious Disease Epidemiology, School of Public Health, 4615Imperial College London, London, UK.
Center for the Mathematical Modelling of Infectious Diseases, 4906London School of Hygiene & Tropical Medicine, UK.
Stat Methods Med Res. 2022 Sep;31(9):1675-1685. doi: 10.1177/09622802211037079. Epub 2021 Sep 27.
Since the beginning of the COVID-19 pandemic, the reproduction number [Formula: see text] has become a popular epidemiological metric used to communicate the state of the epidemic. At its most basic, [Formula: see text] is defined as the average number of secondary infections caused by one primary infected individual. [Formula: see text] seems convenient, because the epidemic is expanding if [Formula: see text] and contracting if [Formula: see text]. The magnitude of [Formula: see text] indicates by how much transmission needs to be reduced to control the epidemic. Using [Formula: see text] in a naïve way can cause new problems. The reasons for this are threefold: (1) There is not just one definition of [Formula: see text] but many, and the precise definition of [Formula: see text] affects both its estimated value and how it should be interpreted. (2) Even with a particular clearly defined [Formula: see text], there may be different statistical methods used to estimate its value, and the choice of method will affect the estimate. (3) The availability and type of data used to estimate [Formula: see text] vary, and it is not always clear what data should be included in the estimation. In this review, we discuss when [Formula: see text] is useful, when it may be of use but needs to be interpreted with care, and when it may be an inappropriate indicator of the progress of the epidemic. We also argue that careful definition of [Formula: see text], and the data and methods used to estimate it, can make [Formula: see text] a more useful metric for future management of the epidemic.
自 COVID-19 大流行开始以来,繁殖数 [Formula: see text] 已成为用于传播疫情状况的流行流行病学指标。从最基本的定义来看,[Formula: see text] 定义为一个初始感染者引起的二次感染的平均数量。[Formula: see text] 似乎很方便,因为如果 [Formula: see text],则疫情在扩大;如果 [Formula: see text],则疫情在缩小。[Formula: see text] 的大小表明需要减少多少传播才能控制疫情。以简单的方式使用 [Formula: see text] 可能会导致新的问题。原因有三:(1) [Formula: see text] 不是只有一个定义,而是有很多个,[Formula: see text] 的精确定义既影响其估计值,又影响其解释方式。(2) 即使具有特定的明确定义的 [Formula: see text],也可能使用不同的统计方法来估计其值,而方法的选择会影响估计值。(3) 用于估计 [Formula: see text] 的数据的可用性和类型不同,并且并不总是清楚应该将哪些数据包含在估计中。在这篇综述中,我们讨论了何时 [Formula: see text] 有用,何时可能有用但需要谨慎解释,以及何时可能是疫情进展的不适当指标。我们还认为,仔细定义 [Formula: see text],以及用于估计它的方法,可以使 [Formula: see text] 成为未来疫情管理的更有用的指标。