We reviewed with interest Zhao's letter regarding our article exploring the approach of calculating the effective reproduction number (R eff) [Reference Huang1]. We entirely agree with Zhao et al. that it is essential to calculate the R eff by using the next generation matrix (NGM) approach. Actually, we also commonly used the NGM approach to calculate the reproduction number of other infectious diseases [Reference Cui2].
We did not provide the complex equation of R eff from the NGM approach instead of a simplified equation in our study [Reference Huang1], because in Xiamen City, the values of f, daily br and daily dr were 0.0003 (0.03%), 2.46 × 10−5 and 1.24 × 10−5, respectively, which were much lower than those of ω (1/5), γ (1/14) and γ’ (1/21), respectively. We also calculated the values of R eff by using the simplified equation we used and the two equations provided by Zhao et al., and we found that they were almost the same (Fig. 1).
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20200318114305786-0370:S095026882000059X:S095026882000059X_fig1.png?pub-status=live)
Fig. 1. The values of R eff calculated by three equations in Xiamen City, 2014–2018.
Therefore, we agree to use an accurate approach to estimate the transmissibility of an infectious disease. However, a simplified equation would be easier to be performed by the primary public health department than a complex one.