| Literature DB >> 34150314 |
Amy Hurford1,2, Proton Rahman3, J Concepción Loredo-Osti2.
Abstract
In many jurisdictions, public health authorities have implemented travel restrictions to reduce coronavirus disease 2019 (COVID-19) spread. Policies that restrict travel within countries have been implemented, but the impact of these restrictions is not well known. On 4 May 2020, Newfoundland and Labrador (NL) implemented travel restrictions such that non-residents required exemptions to enter the province. We fit a stochastic epidemic model to data describing the number of active COVID-19 cases in NL from 14 March to 26 June. We predicted possible outbreaks over nine weeks, with and without the travel restrictions, and for contact rates 40-70% of pre-pandemic levels. Our results suggest that the travel restrictions reduced the mean number of clinical COVID-19 cases in NL by 92%. Furthermore, without the travel restrictions there is a substantial risk of very large outbreaks. Using epidemic modelling, we show how the NL COVID-19 outbreak could have unfolded had the travel restrictions not been implemented. Both physical distancing and travel restrictions affect the local dynamics of the epidemic. Our modelling shows that the travel restrictions are a plausible reason for the few reported COVID-19 cases in NL after 4 May.Entities:
Keywords: COVID-19; Newfoundland and Labrador; branching process; epidemic model; importations; travel restrictions
Year: 2021 PMID: 34150314 PMCID: PMC8206704 DOI: 10.1098/rsos.202266
Source DB: PubMed Journal: R Soc Open Sci ISSN: 2054-5703 Impact factor: 2.963
Parameter values.
| quantity | description | source |
|---|---|---|
| NL population size | estimated as 519 716 in 2016 [ | |
| proportion of infections that are asymptomatic | estimated as 17% in Byambasuren | |
| proportion reduction in infectivity for asymptomatic infections relative to clinical infections | [ | |
| proportion reduction in infectivity for individuals with clinical infections due to self-isolation | [ | |
| the pre-pandemic basic reproduction number. This is the number of secondary infections generated by an individual with a pre-clinical infection over their entire infectivity period, when all individuals in the population are susceptible. For our model, the definition of | Assumed | |
| contact rate after 18 March 2020, expressed as a percentage of the pre-pandemic contact rate | Estimated from NL COVID-19 case data ( | |
| contact rate after 4 May 2020, expressed as a percentage of the pre-pandemic contact rate | Range considered | |
| infectivity, which depends on the number of days since the date of infection (Weibull-distributed) | [ | |
| the time from date of infection to self-isolation (gamma-distributed) | [ | |
| the number of imported infected individuals per month that fail to self-isolate when travel restrictions are in place after 4 May 2020 (Poisson-distributed). The mean value is 0.24 infected travellers per month that fail to self-isolate. | Fit to NL COVID-19 case data when | |
| the number of imported infected individuals per month that fail to self-isolate when there are no travel restrictions after 4 May 2020 (Poisson-distributed). The mean value is three infected travellers per month that fail to self-isolate. | the mean importation rate is reduced by 92% when travel restrictions are in place since | |
Figure 1Model diagram. Uninfected individuals (white boxes) are either susceptible to infection, S, or recovered, R. Susceptible individuals become infected at mean rate, λS(t)Δt, where the event that an infection occurs is sampled from a distribution since the model is stochastic. Recovered individuals cannot be re-infected. Infected travellers that fail to self-isolate enter the population at a mean rate, λV(t)Δt. When a new infection occurs, a proportion, π, of these newly infected individuals are asymptomatic, where the number of individuals with asymptomatic infections at any time is IA. Alternatively, a proportion, 1–π, of infected individuals will eventually develop clinical symptoms, although these individuals are initially pre-clinical (without symptoms), and the number of individuals that are pre-clinical at any time is IP. At a mean rate, λP(t)Δt, individuals with pre-clinical infections develop clinical infections (with symptoms). Individuals with asymptomatic, pre-clinical, and clinical infections are infectious (blue boxes), and infectivity depends on the type of infection, and the number of days since the date of infection. Finally, both individuals with asymptomatic and clinical infections recover at mean rates λA(t)Δt and λC(t)Δt, respectively. See the electronic supplementary material for further details.
Figure 2The predicted mean number of active COVID-19 cases (lines) agrees well with the reported numbers of active COVID-19 cases in NL from 16 March to 26 June 2020 (dots) prior to the implementation of the travel restrictions on 4 May 2020. After 4 May 2020, we consider an alternative past scenario where no travel restrictions were implemented (b). Both with (a) and without (b) the travel restrictions, we consider different levels of physical distancing, represented as percentages of the daily contact rate at the pre-pandemic level (coloured lines). Each coloured line is the mean number of active clinical cases each day calculated from 1000 runs of the stochastic model, which considers variability in the timing and changes in the number of individuals with different COVID-19 infection statuses.
Public health measures implemented in Newfoundland and Labrador, 6 March–3 July 2020.
| 20 March 2020 | all individuals arriving from outside NL must self-isolate for 14 days [ |
| 4 May 2020 |
— all individuals are prohibited from entering NL except:
a. residents of NL b. asymptomatic workers and individuals subject to the Exemption Order. c. individuals who have been permitted entry to NL, due to extenuating circumstances, approved in advance by the Chief Medical Officer of Health — individuals arriving from outside NL must self-isolate for 14 days, be available for contact by public health, and complete a travel declaration form at the point of entry. (Special Measures Order—Travel, 15 May 2020). |
| 3 July 2020 | Atlantic bubble: interprovincial travel without the requirement to self-isolate permitted in Newfoundland and Labrador, New Brunswick, Prince Edward Island and Nova Scotia, for residents of Atlantic Canada [ |
| 6 March 2020 | any resident with symptoms asked to stay at home and complete the self assessment tool [ |
| 18 March 2020 | alert level 5*. State of emergency declared. Residents advised to practice physical distancing and only leave their homes for essential purposes. Only essential businesses open. Gatherings of more than 50 prohibited. Restaurants are takeout only. (Public Health Promotion and Protection Act; *inferred as alert levels not yet defined.) |
| 30 March 2020 | gatherings of more than five prohibited [ |
| 11 May 2020 | alert level 4 [ |
| 29 May 2020 | six more people can be added to ‘double bubbles’ [ |
| 10 June 2020 | alert level 3. Gatherings of up to 20 people, responsible intra-provincial travel, and medium-intensity sports permitted. Childcare services operating at 70% [ |
| 25 June 2020 | alert level 2. Occupancy and gatherings limited to 50 people, with physical distancing (including funerals, weddings, burials, indoor pools, gyms, movie theatres, bowling alleys, etc.). Wakes, karaoke and dance floors not allowed. Virtual delivery of health care encouraged. (Public Health Advisory 24 June 2020). |
Predicted total number of clinical COVID-19 cases in the nine weeks subsequent to 4 May 2020 with and without the implementation of travel restrictions. The prediction intervals represent the simulated 0.025 and 0.975 quantiles.
| percentage reduction in the contact rate relative to pre-pandemic levels | predicted clinical COVID-19 cases over nine weeks | |||
|---|---|---|---|---|
| travel restrictions | no travel restrictions | magnitude greater without restrictions | percentage reduction with restrictions | |
| mean | 1.2 | 13.6 | 11.0 | 91.2% |
| median | 0 | 12 | ||
| 95% prediction intervals | [0,9] | [2,35] | ||
| mean | 1.5 | 18.1 | 12.0 | 91.7% |
| median | 0 | 15 | ||
| 95% prediction intervals | [0,11] | [3,53] | ||
| mean | 2.1 | 27.8 | 13.5 | 92.4% |
| median | 0 | 23 | ||
| 95% prediction intervals | [0,17] | [3,79] | ||
| mean | 3.7 | 47.9 | 13.0 | 92.3% |
| median | 0 | 35 | ||
| 95% prediction intervals | [0,33] | [3,159] | ||
| mean = 12.4 | mean = 91.9% | |||
Figure 3The total predicted number of COVID-19 cases in NL occurring over nine weeks beginning on 4 May 2020 when travel restrictions are implemented (yellow boxes) is much less than the total number of cases occurring over this same period if the travel restrictions were not implemented (green boxes). The total number of COVID-19 cases occurring during the nine weeks subsequent to 4 May 2020 is highly variable, and without the implementation of the travel restrictions there is a higher risk of a large outbreak (also see table 3, 95% prediction intervals). When the travel restrictions are implemented, almost all of the cases occurring during the nine weeks subsequent to 4 May 2020 are due to infected individuals present in the community prior to 4 May 2020. Travel-related cases are all cases remaining after the ‘prior’ cases are removed (b). The contact rate is expressed as a percentage of the pre-pandemic contact rate. For each simulation, chance events affect the number of individuals that change COVID-19 infection statuses and the timing of these changes. The horizontal lines are medians, the coloured boxes are 1.58 times the interquartile range divided by the square root of n, the whiskers are 95% prediction intervals, and the dots are outliers for the n = 1000 simulation outcomes.
Figure 4The breakdown into three different sources of COVID-19 cases occurring in NL over nine weeks. We compare simulation results with travel restrictions (a) and without travel restrictions (b). The source of infections is either: an individual infected prior to 4 May 2020 (‘prior’, light blue); an individual that was infected prior to entering NL (‘travel’, green); or an NL resident that did not travel, but is part of an infection chain where the initial infectee is a traveller that entered NL after 4 May 2020 (‘local’, dark blue). Our model assumptions are reflected by the difference in the number of COVID-19 cases occurring in travellers over the nine weeks (green bars): approximately 0.5 with travel restrictions (a), as compared with 6.3 without travel restrictions (b). These infected travellers seed infection chains in the NL community resulting in a larger number of NL residents infected when the travel restrictions are not implemented (dark blue bars). Both with and without the travel restrictions, the number of cases due to prior infection in the NL community is similar (light blue bars). The contact rate is expressed as a percentage of the pre-pandemic contact rate.
A list of the assumptions and characteristics of our model that give rise to the linear relationship between the importation rate and the mean outbreak size. The linear relationship is that Itot = λvI1, where Itot is the mean total number of cases, λv is the importation rate, and I1 is the mean number of cases that arise from one importation.
| model assumption | example where the model assumption is violated | effect of violating the assumption on outbreak size |
|---|---|---|
| Mixing between individuals in the population is homogeneous. | A group of travellers, all of whom are infected, fail to self-isolate, but also travel everywhere together and contact all of the same people. | No matter what the size of the group, the resulting outbreak will be of similar size since the contacts of group members are redundant. Here, the mean outbreak size is not linearly related to the importation rate because a larger group would correspond to a larger number of importations, yet the resulting outbreak would not be much larger. |
| Homogeneous mixing means than an infected person is equally likely to contact every susceptible person in the population. | Mixing is non-homogeneous because group members are constrained to have contacts only among the same individuals as the other group members, and not all individuals in the population. | |
| The number of susceptible people is relatively unchanged during the timeframe of interest. | The susceptible population is small, or infection control measures are few. | Infected individuals that arrive later will generate smaller infection chains due to fewer susceptible people to infect. Therefore, the total outbreak size cannot be calculated by summing the size of the outbreaks per importation, since the timing of the importation affects the outbreak size due to that importation. |
| The number of people an infected person contacts is unchanged during the timeframe of interest. | Waning compliance with public health measures; school re-openings. | As above, outbreak sizes per importation cannot be added to determine the total outbreak size because the timing of the importations affects the value of the outbreak size per importation. |
| Infectivity does not change over time. | Seasonality | See above. |
| model characteristic | a different characteristic | effect of considering the different characteristic |
| Few ‘prior’ cases: cases that are not attributable to importations (see | High infection prevalence in the absence of importations. | The relationship between travel-related cases and the importation rate will be linear, but total infections are the sum of prior cases and travel-related cases, such that the linear relationship will not hold. |
| The quantity of interest is the mean outbreak size. | The quantity of interest is the median or a different quantile. | The linear relationship with the importation rate applies only to the mean outbreak size. As can be observed in |