Sunday, 22 March 2020

Double or Quits? The Numbers Game


by Les May

I HAVE heard the same story twice in the last two days, once repeated to me by a friend and the other today on the US Washington Journal programme on C-SPAN.

Essentially the complaint is that the dangers of the Covid19 pandemic is being exaggerated because the number of deaths so far in the UK and the US is no more than would be expected from the effects of seasonal flu.

But the people who make this argument betray a fundamental ignorance about what is important here. It’s not the actual number of infections which is important, it’s the RATE at which those numbers CHANGE. If this is known it is possible to approximately predict how many infections there will be at any time in the future unless measures are taken to prevent this happening.

One way of thinking about the rate of change is to find out how many days it takes for the number of recorded infections to double. In the UK this is estimated to be between 2 and 4 days. If we take a mid-value of three days and assume we start when the number of infections is 1000 then we can predict the number of infections in a month’s time.

Day 3: 2000, Day 6: 4000, Day 9: 8000, Day 12: 16000, Day 15: 32000,
Day 18: 64000, Day 21: 128000, Day 24: 256000, Day 24: 256000,
Day 27: 512000, Day 30: 1024000.

If the time taken for the number of infections to double is 2 days it would take three weeks for a million people to be infected; it the time to double is 4 days it would take 6 weeks to reach a million recorded infections.

The data from China suggest that the mortality rate for recorded infections is about 4%. This translates into about 40,000 deaths if we allow the number of recorded infections to reach 1 million. Note that by recorded infections I mean medically diagnosed cases and this does not include the unrecorded infections which result in self diagnosis.

Although the government have been slow to implement the measures which could help to prevent very large numbers of people being infected, they have finally done so. We have a choice; we can either accept the restrictions on how we conduct our lives for the next few months or we can ignore the advice we are given, adopt a laissez-faire attitude and suffer the consequences.

I have little doubt that if people continue to ignore the advice we have been given the government will impose more stringent measures which will be more intrusive and more restrictive than what we are being asked to do at present.





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