Did you read the NYT piece? That’s based on confirmed breakthrough cases. Keep in mind that in many places, vaccinated people are testing less often than unvaccinated. The article even says
(NB: David Leonhardt quietly admitting that asymptomatic spread is largely a myth)
Fair enough. I did say it was quick, back of the envelope stuff. Instead of your calc, then, let’s try to get even more apples-to-apples. Let’s see what good ol’ Mr Leonhardt based his number on.
“In recent weeks” isn’t very clear, and I didn’t see David’s sources for this data, so I can’t easily check his math, but just to look at total cases over a similar timeframe, I’ll use the Johns Hopkins data tracker (linked in previous post) & look at cases since ~end of July. (Because he doesn’t show his work, this is going to be a bit rough on my part, too)
Utah: as of 9/7/21, total reported cases = 474,086
As of end of July (7/30), total = 432,467
That’s 41,619 cases in 39 days ≈ 1067 per day, in a state of ~3.34 million people ≈ 320 per million per day (1 in 5000 = 200 per million).
Virginia: 9/6: 786,910; 7/30: 694,384
Diff: 92,526 in 38 days ≈ 2435 / day
Population: 8.67 M
Cases/1M /day: 281
King County WA (JHU doesn’t appear to have county-level data, so switching to NY Times tracker
Not as easy to get cumulative numbers as of certain dates from this, so I’m just eyeballing the 7-day moving average, which has been hovering around 600 cases/day for about a month.
Population: 2.30 M
Cases/1M /day: ~261
So in each of these places, the total population number (including breakthroughs) is a little higher than the 1 in 5k Leonhardt estimates. Since each of these places is roughly 2/3 fully vaccinated (give or take - this is where the math gets rougher bc I’m tired), you’re probably looking at roughly ~350-500 cases per million per day for unvaccinated (which may include partially vaxxed, too). So looking at ~1 in 2-3k per day, or about a 1/5 - 1/8 annual chance of catching covid unjabbed vs ~1/13 for jabbed.
That’s a bit higher, but not what I would call “far higher.” Factor in the big bump in testing unvaccinated kids due to back to school & absurd quarantine rules, and the difference gets a little muddier.