Id |
Subject |
Object |
Predicate |
Lexical cue |
T26 |
0-30 |
Sentence |
denotes |
Incubation period distribution |
T27 |
31-173 |
Sentence |
denotes |
Using the duration of stay in Wuhan and the symptom onset date, we obtained a range of possible values for the incubation period of each case. |
T28 |
174-343 |
Sentence |
denotes |
We fitted three parametric forms for the incubation period distribution to these ranges: the Weibull distribution, the gamma distribution and the lognormal distribution. |
T29 |
344-449 |
Sentence |
denotes |
We used a Bayesian approach to fitting that allows for the use of prior knowledge to inform the analysis. |
T30 |
450-644 |
Sentence |
denotes |
We specified strictly positive flat prior probability distributions for the parameter values of the three distributions (Supplementary Material S2), which ensured our estimates are conservative. |
T31 |
645-750 |
Sentence |
denotes |
Because of the sufficient number of observations, the impact of the priors on the outcome was negligible. |
T32 |
751-869 |
Sentence |
denotes |
We used a uniform prior probability distribution over the exposure interval for the moment of infection for each case. |
T33 |
870-1029 |
Sentence |
denotes |
We sampled from the posterior distribution using the rstan package [9] in R software version 3.6.0 (R Foundation, Vienna, Austria) (Supplementary Material S3). |
T34 |
1030-1179 |
Sentence |
denotes |
Figure 1 shows the exposure to reporting timeline for each case, where the cases without a maximum incubation period lack an unexposed (grey) period. |
T35 |
1180-1343 |
Sentence |
denotes |
However, the estimated infection times for these cases are close to the end of the exposure window, informed by the cases that do have a maximum incubation period. |
T36 |
1344-1534 |
Sentence |
denotes |
Figure 1 Exposure to reporting timeline for confirmed 2019 novel coronavirus (2019-nCoV) cases with travel history from Wuhan, sorted by symptom onset date, data 20–28 January 2020 (n = 88) |
T37 |
1535-1706 |
Sentence |
denotes |
The analysis yields the probability of being infected (dark pink), i.e. the cumulative density function of the estimated infection moments, using the Weibull distribution. |
T38 |
1707-1776 |
Sentence |
denotes |
The Weibull distribution provided the best fit to the data (Table 1). |
T39 |
1777-1861 |
Sentence |
denotes |
The mean incubation period was estimated to be 6.4 days (95% credible interval (CI): |
T40 |
1862-1871 |
Sentence |
denotes |
5.6–7.7). |
T41 |
1872-1975 |
Sentence |
denotes |
The incubation period ranges from 2.1 to 11.1 days (2.5th to 97.5th percentile) (Table 2 and Figure 2). |
T42 |
1976-2111 |
Sentence |
denotes |
The results using the gamma distribution provide a slightly poorer description of the data, but a similar range: from 2.4 to 12.5 days. |
T43 |
2112-2331 |
Sentence |
denotes |
Although the lognormal distribution provides the poorest fit to the data, the incubation period ranging from 2.4 to 15.5 days (2.5th to 97.5th percentile) may be relevant for a conservative choice of quarantine periods. |
T44 |
2332-2543 |
Sentence |
denotes |
Table 1 Estimated incubation period for travellers infected with 2019 novel coronavirus (2019-nCoV) in Wuhan, China, for different parametric forms of the incubation period distribution, data 20–28 January 2020 |
T45 |
2544-2589 |
Sentence |
denotes |
Distribution Mean (days) SD (days) LOO ICb |
T46 |
2590-2626 |
Sentence |
denotes |
Estimatea 95% CI Estimatea 95% CI |
T47 |
2627-2667 |
Sentence |
denotes |
Weibull 6.4 5.6–7.7 2.3 1.7–3.7 486 |
T48 |
2668-2706 |
Sentence |
denotes |
Gamma 6.5 5.6–7.9 2.6 1.8–4.2 545 |
T49 |
2707-2749 |
Sentence |
denotes |
Lognormal 6.8 5.7–8.8 3.4 2.1–6.4 592 |
T50 |
2750-2780 |
Sentence |
denotes |
CI: credible interval; LOO IC: |
T51 |
2781-2841 |
Sentence |
denotes |
Leave-one-out information criterion; SD: standard deviation. |
T52 |
2842-2861 |
Sentence |
denotes |
a Posterior median. |
T53 |
2862-3002 |
Sentence |
denotes |
b LOO IC indicates the goodness-of-fit, where lower values indicate a better fit and differences larger than two are statistically relevant. |
T54 |
3003-3229 |
Sentence |
denotes |
Table 2 Percentiles of estimated incubation period for travellers infected with 2019 novel coronavirus (2019-nCoV) in Wuhan, China, for different parametric forms of the incubation period distribution, data 20–28 January 2020 |
T55 |
3230-3280 |
Sentence |
denotes |
Percentiles Incubation period distribution (days) |
T56 |
3281-3306 |
Sentence |
denotes |
Weibull Gamma Lognormal |
T57 |
3307-3362 |
Sentence |
denotes |
Estimatea 95% CI Estimatea 95% CI Estimatea 95% CI |
T58 |
3363-3410 |
Sentence |
denotes |
2.5th 2.1 1.3–3.0 2.4 1.5–3.2 2.4 1.6–3.1 |
T59 |
3411-3456 |
Sentence |
denotes |
5th 2.7 1.8–3.5 2.9 2.0–3.6 2.8 2.0–3.5 |
T60 |
3457-3503 |
Sentence |
denotes |
50th 6.4 5.5–7.5 6.1 5.3–7.3 6.1 5.2–7.4 |
T61 |
3504-3556 |
Sentence |
denotes |
95th 10.3 8.6–14.1 11.3 9.1–15.7 13.3 9.9–20.5 |
T62 |
3557-3612 |
Sentence |
denotes |
97.5th 11.1 9.1–15.5 12.5 9.9–17.9 15.5 11.0–25.2 |
T63 |
3613-3667 |
Sentence |
denotes |
99th 11.9 9.7–17.2 14.1 10.9–20.6 18.5 12.6–32.2 |
T64 |
3668-3690 |
Sentence |
denotes |
CI: credible interval. |
T65 |
3691-3710 |
Sentence |
denotes |
a Posterior median. |
T66 |
3711-3917 |
Sentence |
denotes |
Figure 2 The cumulative density function of the estimated Weibull incubation period distribution for travellers infected with the 2019 novel coronavirus (2019-nCoV) in Wuhan, China, data 20–28 January 2020 |
T67 |
3918-4031 |
Sentence |
denotes |
Posterior median of mean is indicated by the dark blue line and the 95% credible interval by the light blue area. |