Case Counts, Infections, and Deaths in the US and Western Europe

Are diagnostic-positive case counts an accurate method of tracking the infection rate? First, the UK:

After the initial surge in the spring, covid contagion dropped consistently and dramatically. From June through August the dx-positive case counts  and deaths remained at a relatively low and steady rate. Then, starting around the beginning of September, case counts started climbing rapidly, tripling over the last three weeks. The death count remained low and steady until September 14; now deaths too are on the rise. So there’s been a two-week lag between new cases and deaths, which makes sense given the typical progression of the disease.

From Sept. 14-21, the UK averaged 22 covid-related deaths per day. Deaths are a reliable lagging indicator of infections. Using a rough fatality rate of 1 percent, those 22 daily deaths in the third week of September would have been produced by 22/.01 = 2,200 new daily infections during the first week of September. And when you look at the daily test-positive case counts, they averaged around 2,000 new cases per day during that one-week interval. In other words, covid testing in the UK is identifying nearly every new infection.

Over the past week the UK averaged 3,900 new cases daily; if the pattern persists, then around the second week of October these new cases will likely be producing around 40 covid-related deaths per day.

Next, France:

After the spring surge, cases and deaths dropped dramatically, remaining low and steady from May through July. In early August case counts began to climb rapidly. Death counts too began to increase around the middle of August. Over the past week France has averaged 55 covid deaths per day. Divide by .01 = an estimated 5,500 new infections during the first week of September. The average dx test-positive case count in France during that week was 6,800 — more than the number estimated from death rate.

A plausible explanation is that the recent surge has infected a disproportionate share of younger people, who have a lower than average fatality rate. So, e.g., if the people who’ve been infected in France during the current surge are on average 2 years younger than the national median age, then the recent French fatality rate would drop from 1% to 0.8%. Using this age adjustment, the lagging estimate of infections for early September would equal the case count.

During the past week France has averaged 10,100 new cases per day, which projects to a daily death rate of 82 for the second week of October.

Spain:

It’s generally the same pattern as UK and France: spring surge, rapid decrease, long low plateau of new cases and deaths. In Spain the increase in case counts began in early July, followed by increasing death counts. Over the past week Spain has averaged 116 daily deaths; using the 1% fatality rate, there would have beeen around 11,600 new daily infections during the first week of September. The daily dx-positive case count in Spain for that week was 8,500 — like UK and France, pretty close.

Over the past week, Spain’s daily case rate has dropped to 4,600 per day. Forecasting deaths from cases, Spain is projected to have a death count of around 63 per day during the second week of October.

Now the USA:

In contrast to these three Western European nations, the relationship between dx test-positives and deaths is more tenuous in the US. Death rates peaked in April, dropped in May, plateaued in June, increased in July, and have plateaued again since August. Case rates followed a different pattern: peak and plateau from April through the middle of June, consistent rapid rise through the end of July, slow decline through the August, plateau during September.

During the past week an average of 770 people died daily of covid in the US. Using the national age-adjusted mortality rate of 0.85, and using the two-week lag between infections and death characteristic of the European data, the current death tally would have been produced by an average of around 90,000 new cases daily during the first week of September. During that 7-day interval the daily US case count was 46,000. I.e., using death as lagging indicator of infection, the US’s diagnostic testing is identifying only half of the new infections. And since there is no consistent 2-week time lag between case rate fluctuations and death rate fluctuations, case counts aren’t a reliable indicator of current infections or future deaths.

Finally, a comparison of projected death rates. The UK, France, and Spain have all experienced abrupt increases in infections, with rising death tolls lagging two weeks behind. The US covid toll, meanwhile, is either plateaued or in slow decline. Let’s forecast that, for the second week of October, the US death count will drop slightly, to 730 per day. How does that rate compare with the projected death counts of the three European countries, adjusting for national population?

  • US = 730 deaths/328 million population = 2.2 deaths per million
  • UK = 40 deaths/67 million population = 0.6 deaths per million
  • France = 82 deaths/67 million population = 1.2 deaths per million
  • Spain = 63 deaths/47 million population = 1.3 deaths per million

While the US is still experiencing more covid deaths than the UK, France, and Spain, the gap has narrowed considerably over the past couple of months. It remains to be seen whether they’ll be able to stem the tide and reverse the flow, as they did so effectively in the spring.

One thought on “Case Counts, Infections, and Deaths in the US and Western Europe

  1. Two weeks later… 7-day average death counts from 28 September to 5 October:

    – US = 607 deaths per day
    – UK = 53 deaths per day
    – France = 70 deaths per day
    – Spain = 116 deaths per day

    As predicted, the US death rate decreased from two weeks prior, though the decrease was even more marked. The UK and France projections were pretty close. Spain is the outlier: its death rate is the same as it was 2 weeks earlier, whereas I’d projected it to drop nearly in half. However, since I ran the numbers two weeks ago, Spain backdated an increase its daily case count for the 14-21 Sept. interval, from 4,600 per day to 10,350 per day — an increase of 225 percent. If I’d had these updated case counts I’d have projected last week’s Spanish death count to be about 140 per day — again, pretty close to the actual number.

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