Post last updated: 20 Jun 2021

Context

Every two weeks, our group provides COVID-19 infection report forecasts for the province of Ontario to the Ontario Modelling Consensus Table (MCT), a partner of the Ontario Science Advisory Table (SAT), which presents this information to the Health Coordination Table of the Ontario Ministry of Health.1 Other modelling groups also provide forecasts to the MCT. After reviewing all forecasts provided, the MCT provides consensus projections to the SAT.

Our forecasts are based on a compartmental epidemic model implemented in our publicly available McMasterPandemic R package, and involve statistical fits to Ontario’s latest infection report data.

Forecast overview

The forecasts presented here were made on 19 April 2021 and 9 May 2021.

The 19 April forecasts were submitted to the MCT for inclusion in the public briefing by the SAT on 29 April 2021.

Because of the delay between the moment of infection and when a case is reported, we cannot directly estimate the effects of changes that occur two weeks or less before the date of our forecasts. As a result, we were not able to fit the effects of the 8 April stay-at-home order in the 19 April forecasts. The best we can do in this case is consider scenarios for the effectiveness of changes (for example, interventions like stay-at-home orders). The scenarios considered for the 19 April forecasts are outlined below.

On 9 May, enough data had accumulated since the 8 April stay-at-home order for us to estimate its effect on transmission, and this estimate is included in that forecast.

We have updated, and will continue to update, this post in order to show the latest infection reports, but the forecasts themselves have not, and will not, be modified after the forecast date.

The most recent infection reports indicate which of the 19 April scenarios turned out to be closest to reality (and therefore suggest the degree to which public health measures, changes in behaviour, or vaccine uptake, have been effective). When multiple changes have occurred simultaneously (for example, closing schools and restricting travel), it is very difficult, if not impossible, to determine which changes had the greatest impact on disease transmission.

Forecast results

The following figures gives the infection report forecasts (curves), with 95% confidence intervals as bands around each forecast curve. Observed infection reports to which the model was fit are plotted with solid points, while observations after the fact are included as hollow points.

Forecast details

Vaccination assumptions

In all of the forecasts presented here, the vaccination assumptions are that:

  • doses are administered at the reported dose administration rate up to the forecast date;
  • all vaccines administered are 60% effective at preventing infection;
  • if the vaccine confers immunity in an individual, immunity immediately takes effect 14 days after a first dose and does not wane;
  • vaccines are administered at random in the population.

19 April 2021 scenarios

Intervention effect

In the 19 April forecasts, we considered four scenarios for the combined effects of the 30 March “emergency brake” and the 8 April provincial stay-at-home order on the overall reduction in disease transmission. The scenarios we explored are that these interventions:

  1. are ineffective and do not reduce transmission from pre-stay-at-home levels (the latest level of activity detectable in the infection report data due to the 1-2 week reporting delay for infections);

  2. result in a mild reduction in transmission (20%);

  3. result in a moderate reduction in transmission (30%);

  4. result in a strong reduction in transmission (40%).

After the six-week stay-at-home order ends on 20 May, we assume that transmission returns to the levels observed right before the order came into effect (but this change doesn’t become apparent in the forecasts for approximately two weeks, due to the delay between infections and infection reports).

Vaccination

In the forecast period, the vaccination scenarios we explore are that:

  1. vaccination continues at the seven-day average rate (from the week before the forecast date) of ~100,000 first doses/day (solid lines);

  2. the current average rate is increased by 50% to ~150,000 first doses/day (dashed lines).

9 May 2021 scenarios

Interventions

Since more than two weeks had elapsed since the 30 March emergency break and 8 April stay-at-home order when this forecast was made, we were able to estimate the reduction in transmission that has resulted from these interventions so far. As a result, this set of forecasts use the transmission reduction estimated from infection report data, as opposed to any hypothetical intervention effect scenarios (like in the 19 April forecast).

We explore three possible lift dates for the order:

  1. 20 May 2021, as is currently planned based on the six-week stay-at-home order;
  2. 01 Jun 2021, extending the stay-at-home order by an additional 12 days;
  3. 15 Jun 2021, extending the stay-at-home order by an additional 26 days;

Once the stay-at-home order is lifted, we assume that the contact rate returns to its level just before the order came into effect. This change doesn’t become apparent in the forecasts for approximately two weeks, due to the delay between infections and infection reports. Of course, it is also possible that the degree of compliance with the stay-at-home order is changing over time, which adds additional uncertainty to our forecasts.

Vaccination

In the forecast period, the vaccination scenarios we explore are that:

  1. vaccination continues at the seven-day average rate (from the week before the forecast date) of ~117,000 first doses/day (solid lines);

  2. the current average rate is increased by 50% to ~175,500 first doses/day (dashed lines).


Related post: Early prediction of Ontario’s third COVID-19 wave

Back to the MacTheobio COVID Modelling Group page


  1. This report has been written independently of the Ontario Modelling Consensus Table, the Ontario Science Advisory Table, and the Health Coordination Table. The views expressed in this report are solely the authors’.↩︎