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by acqq 2142 days ago
> In addition means we need a lower rate for herd immunity

No, it actually doesn't, the math functions differently than what is naively believed. See:

https://statmodeling.stat.columbia.edu/2020/08/03/math-error...

The R0 would have to be corrected to the higher value, which would mean that the herd immunity threshold for the susceptible part of population would have to be higher(!)

Also, even among completely asymptomatic a high viral load is surely observed, implying that they aren't "immune" in the sense that they aren't the ones who continue to spread the infection -- but even for that, more research is needed.

Which means, until we know more, that those who are in danger aren't less in danger at all until they get a vaccine. With all the consequences we already know, like in the states which were strongly hit.

> the models of exponential growth was unfounded

I don't believe anybody ever claimed that the exponential growth would be indefinite. However, exponential growth through the susceptible part of population in one important phase of the spread (before any interventions are taken) was indeed a good enough approximation of what was observed.

Edit: re: the comment below: "it still means that herd immunity is easier and faster to achieve" -- no, not necessarily, see what I wrote about the "asymptomatic." For all we know at this moment, they get the virus and they spread it. If they just don't get sick it is then different from them not being involved in the transmission. And if some amount of people are identified who can't get it, the result can still mean "for two more years it has to be like it was up to now."

Edit 2: re the comment below: "That maths you link to literally says that the threshold for herd immunity among the entire population is indeed lowered." No it doesn't, not in the sense "it is better". Try to work from R0 = 2.7 which was observed. Assume 50% can't even spread. The R0 for the remaining 50% is then not 2.7, but has to be scaled up to 5.4(!) Which means, e.g. that the 90% of the 50% have to become immune to reach the herd immunity. And if up to now e.g. 10% of these were infected in past 6 months, that means 6 months * 8 = 4 years more to go. Whereas, when no 50% "immune" population exist, if with given R0 2.7 the threshold is e.g. 60%, and we have 10% infected, we have only 5 times 6 months to go, i.e. 2.5 years(!). You see, it's nothing so obvious like one likes to believe. Like Ed Young said: "Immunology Is Where Intuition Goes to Die." Search for the article (it's not about this calculation, but about how simple mental models don't work with immunology on other levels too).

The herd immunity threshold is dependent of R0, and that is exactly what they try to explain in the post. But like I've said, we don't even know how many of "asymptomatic" are part of all equations. And which equations are the right ones. The "right" models could be even more complex than what I've used here.

Edit 3: re: Citing Judith Curry. Judith Curry, the only qualification having from being one of the most favorite "experts" to be cited by climate deniers. But what she claims is still wrong: https://www.skepticalscience.com/skeptic_Judith_Curry.htm

2 comments

That maths you link to literally says that the threshold for herd immunity among the entire population is indeed lowered. And that was the original posters point.

I think you're getting too caught up in the details. Its still good news, and it still means that herd immunity is easier and faster to achieve

> Its still good news, and it still means that herd immunity is easier and faster to achieve

It is not even clear it's "good news", it doesn't "still mean" at all, read carefully under "Edit 2" of my parent post. It can also mean that it will take longer. R0 must be reevaluated, and threshold is f(R0). We don't even know the "correct" function for the threshold, even less which people contribute in which way. We don't know how much were infected up to now, the high numbers weren't random samples, prevalence in global population is much lower than in a few hot spots where a lot of deaths happened. "Math is hard." Immunology is complex.

> R0 must be reevaluated

I'm at the point of concluding: "All R0-based models are useless for a disease like this." The true dynamics are far too complex, and this assumption that we can conclude anything by plugging linearly-varying (or constant!) parameters into a trivially non-linear model is absurd.

"That maths you link to literally says that the threshold for herd immunity among the entire population is indeed lowered. "

The maths you refer to do not make that judgment at all. They indicate that, assuming all the assumptions that go into those models are true (they aren't), herd immunity may be lowered, but not by much.

Your maths fails in real life. Seems to be only 10-20% of anti body prevalence is needed for herd immunity due to t-cell protection that wasn't taken into account. The Diamond Princess cruise ship, perfect floating petri dish for experiements, bore this out. Same with London and New York, reach the herd immunity levels of 10-20% and died out.

Try this maths https://judithcurry.com/2020/05/10/why-herd-immunity-to-covi...