The attack rate estimation is more important than CFR

by avturchin2 min read1st Apr 20203 comments

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Coronavirus
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Let’s here define the “attack rate” (AR) as a share of people in a group which was infected after an infection agent was introduced into the group. For example, it is estimated that swine flu infected 10-15 per cent of the world population in 2009-2010.

Obviously, there is a large difference between AR = 10 per cent and 80 per cent, no matter what is the infection-fatality rate (IFR), as in the first case 8 times fewer people will die.

Crude AR depends on several variables

1) Number of people which never contacted the virus at all (didn’t inhale any virus particles)

1a) Because they were well isolated.

1b) Because they were lucky.


2) The number of people who have physical contact with virus particles but never develop illness:

2a) Those who have a natural immunity to the virus, powerful immune system or special genetics.

2b) Those who have cross-immunity from some other similar viruses or vaccines.

2c) Those who already had the virus in previous time and now became a backbone of the herd immunity.

2d) Those who had so short and mild illness that was not detectable by available methods at the time like PCR, or via self-observation (maybe because of getting only very small viral load).

Attempts to estimate crude AR

It is difficult to estimate the true AR, as it also depends on circumstances, like the age of people in the group, duration of exposure, viral load.

In some cases, we could measure the crude AR, but can’t guess which of the six listed above causes explain it. For example, 712 of 3700 people on DM became ill, which gives crude AR = 19.24 per cent.

Another case: “In total, 15 members of the 58-strong crew reported sick with slight flu symptoms, including coughing and a slightly raised temperature. Tests showed eight members of the crew had or had recovered from coronavirus, the defence ministry said.” which implies crude AR = 25.8 per cent. People inside the submarine have almost no chances to escape the virus, as they are locked inside the same space for days, so it is probably an upper level of crude AR for this age group.

In another case, 9 of 48 passengers of the bus (assuming it was full) became infected, including some who were in a remote part of the bus or board after the patients departed. which implies crude AR = 19 per cent.

These groups include only a small number of children below 18, and we didn’t hear anything about the explosion of the virus in schools, so we could adjust our estimation of crude AR for the whole population. 13 per cent of the population in Italy is below 14 years old , thus it is around 18 per cent below 18, and thus we should dilute AR by the factor of 0.82. 25.6x0.82 = 20.9.

So, different estimates give us the crude AR around 20 per cent (but it is for relatively short-term exposure, not for years-long periods).

Possible causes of low crude AR and coping strategy

The main question (the answer on which has tremendous importance for our coping strategy): what is the main reason for this relatively low crude AR? There are three lines of thoughts about it and three corresponding strategies:

  • Crude AR is low because isolation measures are effective, and thus these measures should be continued with even stronger force.
  • Crude AR is low because of the large number of very mild, almost undetectable cases. The virus is very stable in the environment, can travel long distances through air and live a long time on surfaces. No isolation measures in cities work and all susceptible city dwellers will be infected anyway, but mostly in a mild form. The large hospital overload is because all become infected simultaneously, unlike the case of flu which is distributed throughout all winter months (and years). In that case, the herd immunity will be reached anyway, isolation in cities is not very effective (remote house in a forest may work) and this isolation only destroys the economy.
  • There is some unknown variable (genetic, weather, vaccination) which helps many people to escape infections. We should find which one.

To solve this, we need serological population studies on CV antibodies. Another argument for (2) will be a possible peak in European infection rates in next days if some countries will reach the level implied by the crude AR. For example, there was a research that up to 15 per cent of the population of Spain is already infected (as of 28 of March 2020). In that case, we should observe the peak of hospitalizations in Spain in the next 1-2 weeks.

ADDED: In Skagit choir 75% fell ill. The average rate of infected was 67, according to the article, so obviously the attack rate is age-dependent - and also viral-load dependent. "The youngest of those sickened was 31, but they averaged 67, according to the health department."

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