# Coronavirus (COVID-19): modelling the epidemic (issue no. 55)

Latest findings in modelling the COVID-19 epidemic in Scotland, both in terms of the spread of the disease through the population (epidemiological modelling) and of the demands it will place on the system, for example in terms of health care requirement.

## Technical Annex

Epidemiology is the study of how diseases spread within populations. One way we do this is using our best understanding of the way the infection is passed on and how it affects people who catch it to create mathematical simulations. Because people who catch Covid-19 have a relatively long period in which they can pass it on to others before they begin to have symptoms, and the majority of people infected with the virus will experience mild symptoms, this "epidemiological modelling" provides insights into the epidemic that cannot easily be measured through testing e.g. of those with symptoms, as it estimates the total number of new daily infections and infectious people, including those who are asymptomatic or have mild symptoms.

Modelling also allows us to make short-term forecasts of what may happen with a degree of uncertainty. These can be used in health care and other planning. The modelling in this research findings is undertaken using different types of data which going forward aims to both model the progress of the epidemic in Scotland and provide early indications of where any changes are taking place.

The delivery of the vaccination programme will offer protection against severe disease and death. The modelling includes assumptions about compliance with restrictions and vaccine take-up. Work is still ongoing to understand how many vaccinated people might still spread the virus if infected. As Covid-19 is a new disease there remain uncertainties associated with vaccine effectiveness. Furthermore, there is a risk that new variants emerge for which immunisation is less effective.

### Better and Worse Scenarios

Due to the large areas of uncertainty around the path of the epidemic, both in how many people could be affected and in how quickly it could happen, we provide two projections for estimated infections and hospital demand, illustrating what might happen in two broad scenarios.

In this issue, the difference between the Better and Worse scenarios illustrates the difference between a significant (Worse) and not significant (Better) impact from the delta variant. For the Worse scenario, we assume the delta variant is between 20% and 60% more transmissible than the alpha variant, while in the Better scenario we assume they are the same.

Both scenarios cover the same wide range of behavioural patterns, from decreased mixing in comparison to now to increased mixing.

### How the modelling compares to the real data as it emerges

The following charts show the history of our modelling projections in comparison to estimates of the actual data. The infections projections were largely accurate during October to mid-December and from midâ€‘January onward. During mid-December to mid-January, the projections underestimated the number of infections, due to the unforeseen effects of the new variant.

Hospital bed projections have generally been more precise than infections estimates due to being partially based on already known information about numbers of current infections, and number of people already in hospital. The projections are for number of people in hospital due to Covid-19, which is slightly different to the actuals, which are number of people in hospital within 28 days of a positive Covid-19 test.

As with hospital beds, ICU bed projections have generally been more precise than infections. The projections are for number of people in ICU due to Covid-19. The actuals are number of people in ICU within 28 days of a positive Covid-19 test up to 20 January, after which they include people in ICU over the 28 day limit.

Table 1. Probability of local authority areas having more than 50, 100, 300 or 500 cases per 100K (20 to 26 June 2021) [15].
LA P (Cases > 500) P (Cases > 300) P (Cases > 100) P (Cases > 50)
Aberdeen City 0-5% 0-5% 50-75% 50-75%
Aberdeenshire 0-5% 0-5% 15-25% 50-75%
Angus 50-75% 50-75% 50-75% 75-100%
Argyll and Bute 0-5% 0-5% 15-25% 50-75%
City of Edinburgh 75-100% 75-100% 75-100% 75-100%
Clackmannanshire 50-75% 50-75% 50-75% 75-100%
Dumfries & Galloway 0-5% 0-5% 15-25% 25-50%
Dundee City 50-75% 50-75% 75-100% 75-100%
East Ayrshire 25-50% 50-75% 75-100% 75-100%
East Dunbartonshire 5-15% 25-50% 75-100% 75-100%
East Lothian 5-15% 25-50% 50-75% 75-100%
East Renfrewshire 25-50% 50-75% 75-100% 75-100%
Falkirk 0-5% 5-15% 50-75% 75-100%
Fife 5-15% 15-25% 50-75% 75-100%
Glasgow City 50-75% 50-75% 75-100% 75-100%
Highland 0-5% 5-15% 50-75% 75-100%
Inverclyde 0-5% 0-5% 50-75% 50-75%
Midlothian 25-50% 50-75% 75-100% 75-100%
Moray 0-5% 0-5% 0-5% 25-50%
Na h-Eileanan Siar 0-5% 0-5% 0-5% 5-15%
North Ayrshire 0-5% 15-25% 75-100% 75-100%
North Lanarkshire 5-15% 50-75% 75-100% 75-100%
Orkney Islands 0-5% 0-5% 0-5% 5-15%
Perth and Kinross 0-5% 15-25% 50-75% 75-100%
Renfrewshire 25-50% 50-75% 75-100% 75-100%
Scottish Borders 0-5% 0-5% 25-50% 50-75%
Shetland Islands 0-5% 0-5% 5-15% 15-25%
South Ayrshire 50-75% 50-75% 75-100% 75-100%
South Lanarkshire 5-15% 25-50% 75-100% 75-100%
Stirling 5-15% 25-50% 75-100% 75-100%
West Dunbartonshire 0-5% 5-15% 50-75% 75-100%
West Lothian 5-15% 25-50% 50-75% 75-100%

### What levels of Covid-19 are indicated by wastewater (WW) data?

Table 2 provides population weighted daily averages for normalised WW Covid-19 levels in the weeks of the 21st May and 28th May, with no estimate for error. This is given in Million gene copies per person, which approximately corresponds to new cases per 100,000 per day. Coverage is given as percentage of LA inhabitants covered by a wastewater Covidâ€‘19 sampling site delivering data during this period.

Table 2. Average daily cases per 100k as given by WW data

Local authority Average daily WW case estimate,
with outliers included
Average daily WW case estimate,
with outliers removed
Coverage[16]
w/b 21st May w/b 28th May w/b 21st May w/b 28th May
Aberdeen City 2.8 4.6 2.8 4.6 80%
Aberdeenshire 1.1 2.2 1.1 2.2 52%
Angus 5.9 14.5 5.9 14.5 56%
Argyll and Bute 2.1 5.3 2.1 5.3 18%
City of Edinburgh 12.6 14.0 12.6 14.0 96%
Clackmannanshire 9.8 22.1 9.8 17.8 92%
Dumfries & Galloway 0.2 1.4 0.2 1.4 32%
Dundee City 7.5 18.1 7.5 18.1 100%
East Ayrshire 11.1 13.1 11.1 13.1 72%
East Dunbartonshire 12.7 26.5 12.7 26.5 99%
East Lothian 12.6 12.4 12.6 12.4 65%
East Renfrewshire 25.8 30.9 25.8 30.9 95%
Falkirk 3.6 4.3 3.6 4.3 69%
Fife 4.1 4.5 4.1 4.5 85%
Glasgow City 19.7 29.7 19.7 29.7 71%
Highland 0.1 2.5 0.1 2.5 36%
Inverclyde 3.6 6.6 3.6 6.6 92%
Midlothian 17.7 14.0 17.7 14.0 88%
Moray 3.0 1.2 3.0 1.2 55%
Na h-Eileanan Siar 0.0 0.0 0.0 0.0 21%
North Ayrshire 7.0 7.2 7.0 7.2 93%
North Lanarkshire 8.6 12.5 8.6 12.5 44%
Orkney Islands 0.1 0.0 0.1 0.0 34%
Perth and Kinross 2.1 7.5 2.1 7.5 45%
Renfrewshire 13.4 21.2 13.4 21.2 57%
Scottish Borders 0.3 0.1 0.3 0.1 43%
Shetland Islands 0.0 1.0 0.0 1.0 29%
South Ayrshire 11.8 11.3 11.8 11.3 88%
South Lanarkshire 9.4 14.2 9.4 14.2 79%
Stirling 10.5 3.6 0.7 3.6 63%
West Dunbartonshire 6.8 13.5 6.8 13.5 98%
West Lothian 7.7 7.0 6.2 6.7 85%