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. 2020 Nov 11;15(11):e0242128. doi: 10.1371/journal.pone.0242128

Table 1. Background characteristics of the 29 studies included in the meta-analysis.

Serial number Author, Study’s location Model used to estimate the reproductive number Time/period for which the reproductive number was estimated Assumption(s) that was/were considered to estimate the reproductive number Method used to estimate the reproductive number Reproductive number (95% CI) Study-quality assessment (earned score in the scale of 9)++
1 Read et al, 2020 [40], China and overseas Susceptible-Exposed-Infected-Removed (SEIR) model 1st Jan 2020 to 22nd Jan 2020 Cases daily time increase follows a Poisson distribution MLE1 3.11 (2.39–4.13) 7
2 Zhang et al., 2020 [31], Diamond Princess Cruise ship, Japan Epidemic model incorporated by the data 16th Feb 2020 The mean serial interval (SI)2 7.5 days, standard deviation (SD) 3.4 days MLE 2.28 (2.06–2.52) 7
3 Liu et al., 2020 [39], China and overseas No model mentioned before 23rd Jan 2020 With generation time (GT)3 of 8.4 days EGR 2.90 (2.32–2.52) 8
MLE 2.92 (2.28–3.67)
4 Majumder & Mandl, 2020 [24], Wuhan, China Susceptible-Infected-Recovered/Removed (SIR) model Dec 8, 2019, to Jan 26, 2020 Mean SI 8 (range 6–10) days SEIR method 2.55 (2.00–3.10) 6
5 Riou & Althaus, 2020 [7], China and overseas No model mentioned before 18th Jan 2020 The mean GT varied 7–14 days Stochastic simulation 2.2 (1.4–3.8) 8
6 Tang et al., 2020 [18], China SEIR model (with isolation, quarantined) 31 Dec 2019 to 15th Jan 2020 The incubation period is 7 days NGMA1 6.47 (5.71–7.23) 9
7 Zhao, Lin et al., 2020 [19], China Epidemic curve by time-series data 10th Jan to 24th Jan 2020 8-fold reporting rate EGR 2.24 (1.96–2.55) 7
2-fold reporting rate 3.58 (2.89–4.39)
0-fold reporting rate 5.71 (4.24–7.54)
8 Zhao, Musa, et al., 2020 [20], China Epidemic curve using time series information 1st Jan to 15th Jan 2020 Constant screening effort applied in the Wuhan at the same point in time. EGR 2.56 (2.49–2.63) 8
9 Shen et al., 2020 [25], Hubei province, China SEIR model 12th Dec 2019 to 22nd Jan 2020 5–6 days of incubation SEIR method1 4.71 (4.50–4.92) 8
With intervention and 5–6 days of the incubation period SEIR method 2.08 (1.99–2.18)
10 Q. Li et al., 2020 [23], Wuhan, China Epidemiologic time delay distribution Before 22nd Jan 2020 Mean SI 8.4 days and SD 3.8 days Fitted transmission model with zoonotic infection 2.20 (1.40–3.90) 8
11 J. T. Wu et al., 2020 [27], Wuhan, China SEIR model 31 Dec 2019 to 28th Jan 2020 Mean SI of 8.4 days MCMC1 2.68 (2.47–2.86) 9
12 Imai et al., 2020 [15], China No model mentioned before 18th Jan 2020 High level of variability & generation time is 8.4 days Computational modelling epidemiologic trajectories 2.60 (1.50–3.50) 7
13 Kucharski et al., 2020 [38], Wuhan and international travellers SEIR model 29th Dec 2019 to 23rd Feb 2020 Mean incubation period is assumed to be 5.2 days & SD 3.7 days MLE 2.35 (1.15–4.77) 9
Intervention with mean incubation period 5.2 days & SD 3.7 days MLE 1.05 (0.41–2.39)
14 Ki, 2020 [33], South Korea Epidemic curve fitting 20 Jan to 10 Feb 2020  Not Available (NA) EGR 0.48 (0.25–0.84) 9
15 Choi & Ki, 2020 [32], South Korea SEIR model 20 Jan to 17 Feb, 2020 Overseas infections are separated SEIR method 0.56 (0.51–0.60) 9
16 Shim et al., 2020 [34], South Korea Epidemic curve fitting with the growth model 20th Jan to 26th Feb 2020 With mean GT 4.41 days and SD 3.17 days Simulation 1.50 (1.40–1.60) 8
17 Lai et al., 2020 [41], Genetic data from GISAID Phylogenetic estimation 4th Feb 2020 Based on the exponential growth rate of 0.218 per days EGR 2.60 (2.10–5.10) 9
The evolutionary rate set to the value of 8.0 × 10–4 subs/site/year Birth-death skyline estimate 1.85 (1.37–2.40)
18 Jung et al., 2020 [42], Outside of China No model mentioned before 24 Jan 2020 Mean SI 7.5 days and SD 3.4 days EGR 3.19 (2.66–3.69) 8
19 Song et al., 2020 [17], China SEIR model 15 to 31 Jan 2020 Using generation intervals EGR 3.74 (3.63–3.87) 6
Using generation intervals MLE 3.16 (2.90–3.43)
The model fitted best 27th Jan SEIR method 3.91 (3.71–4.11)
20 Sanche et al., 2020 [16], China SEIR model 15 to 30 Jan 2020 with 7–8 days of the SI EGR 5.80 (4.40–7.70) 7
with 6–9 days of the SI 5.7 (3.80–8.90)
21 Mizumoto & Chowell, 2020 [29], Diamond Princes Cruise ship, Japan No model mentioned 20 Jan to 18 Feb, 2020 Mean SI 7.5 days and SD 3.4 NGMA 5.8 (0.6–11.0) 9
22 Kuniya, 2020 [28], Japan SEIR model 15 Jan to 29 Feb 2020 Infected increases at a rate of daily time increment NGMA 2.60 (2.40–2.80) 6
23 Iwata & Miyakoshi, 2020 [43], Outside of China SEIR model Not Available (NA) One infected entered a community of 1000 population. MCMC 6.5 (5.6–7.2) 7
24 Wan et al., 2020 [26], Wuhan, China SEIR model 22 Jan to 07 Feb 2020 7 days incubation period and 14 days of the infectious period SEIR method 1.44 (1.40–1.47) 8
25 Yuan et al., 2020 [36], Italy No model mentioned 23 Feb to 9 Mar 2020 Mean GT 5.6 days and SD 2.6 days EGR 3.27 (3.17–3.38) 9
Yuan et al.,2020 [36], France 6.32 (5.72–6.99)
Yuan et al.,2020 [36], Germany 6.07 (5.51–6.69)
Yuan et al.,2020 [36], Spain 5.08 (4.51–5.74)
26 Chintalapudi et al., 2020 [44], Italy No model 26 Feb to 20 Apr 2020 Using estimated SI with non-pharmaceutical (NP) interventions MLE 1.85 (0.60–2.30) 8
27 Hyafil and Morina, 2020 [37], Spain SIR model Upto 13 Mar 2020 Based on the hospitalized data with 7.65 days incubation period SEIR method 5.89 (5.86–7.09) 8
Hyafil and Morina, 2020 [37], Spain SIR model Upto 13 Mar 2020 Based on the detected cases with 10.2 days incubation period SEIR method 6.91 (6.95–7.39)
Hyafil and Morina, 2020 [37], Spain SIR model 16 Mar to 15 Apr 2020 Based on the hospitalized data with 7.65 days incubation period with initial interventions SEIR method 1.86 (1.10–2.63)
Hyafil and Morina, 2020 [37], Spain SIR model 16 Mar to 15 Apr 2020 Based on the detected cases with 10.2 days incubation period with initial interventions SEIR method 2.22 (1.92–2.74)
Hyafil and Morina, 2020 [37], Spain SIR model 31 Mar to 12 Apr 2020 Based on the hospitalized data with 7.65 days incubation period with interventions for full restrictions SEIR method 0.48 (0.15–1.17)
Hyafil and Morina, 2020 [37], Spain SIR model 31 Mar to 12 Apr 2020 Based on the detected cases with 10.2 days incubation period with interventions for full restrictions SEIR method 0.85 (0.50–1.05)
28 Zhang et al., 2020 [45], Wuhan, China SEIQ model 21 Jan to 20 Feb 2020 Mean SI 5.2 days and hospital quarantine 12.5 days MCMC 5.50 (5.20–5.80) 7
29 Shao et al., 2020 [46], China Fiduan-CCDC model Not specified Mean SI 7.5 days with SD 3.4 days SEIR method 3.32 (3.25–3.40) 7

Note: All studies included in the meta-analysis were summarized in this table. Studies included in the narrative synthesis were summarized in Table 3. 1EGR: Exponential growth rate method; MLE: Maximum Likelihood Method; MCMC: Markov Chain Monte Carlo Method; NGMA: Next-Generation Matrix Approach and SEIR method = β/γ method. R: Reproductive number, 95% CI, 95% Confidence Interval.

2Serial interval refers to the duration of time between the onset of symptoms in an index case and a secondary case.

3Generation time refers to the time interval between successive infections in the chain of transmission.

++Study quality was assessed through the National Institutes of Health (NIH) study quality assessment. Details results are presented in S4 Table in S1 File.