Indeed, the problem with basing a model on empirical evidence is that it is only as good as the evidence. But if you are in a position that you feel you must try to predict something like death rates or total cases, I don't know of any other way to do it. It would seem that neither does Dr. Fauci.
I have left predictions to the public health officials and have limited myself to running the math, which isn't dependent on empirical evidence. As a result, my modeling doesn't predict anything (although certainly if someone wants to use it for that purpose, they can give it a shot), but instead describes the basic interplay between rate, population size, healthcare system capacity, and the need for/value of social distancing. At best, I think it does provide some idea of how long social distancing is likely to be of value, but "some idea" as in more like 1-2 months than 3-6 months. And even that is limited to NC. It also helps to identify some of the main factors that can potentially influence these variables, and, in turn, these relationships.
Its strongest merit is based in the fundamental truth (and I do not use that language lightly) that, if and when we reach a point that there is no one else in the population to infect, the epidemic ends. At least, in that population. It has already ended in the population of people who have been infected and either recovered or died.
I don't see any expectations (or predictions) in Dr. Fauci's article. While he may have some expectations on a personal level, as a scientist, he should not only discount them, but try to avoid letting them bias his science. And, while he may have to make predictions based on empirical evidence and assumptions for the purpose of guiding public policy, as a scientist, he should know only too well that he has no way of knowing the extent to which the assumptions are valid or the empirical evidence is adequate.
Adam, I wish you luck in achieving your goal of this being your last post. I keep telling myself the same thing, but so far, no luck...obviously...to the point that I have probably given up on kidding myself.
PS I don't know if you are aware that one of NC's counties on your side of the Smokies has actually closed. Not closed restaurants, schools, etc, although probably there is that too, but actually closed its borders. It is isolated and sparsely populated enough that, who knows, it might be able to ride this whole thing out.
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Julie Omohundro, ex-RAC (US, GS), still an MBA
Principal Consultant
Class Three, LLC
Mebane, North Carolina, USA
919-544-3366 (T)
434-964-1614 (C)
julie@class3devices.com------------------------------
Original Message:
Sent: 26-Mar-2020 12:29
From: Adam Atherton
Subject: Off Topic - How is everyone doing?
Last post for me on this thread.
The epidemiologist who created the CV model many are depending on realized he had a major error and has corrected it down. You can read more about at link and elsewhere. As far as the speed of spreading, the model author has admitted based on empirical evidence that CV spreads much faster than anticipated. The significance of this is that many, many more people probably have CV and are asymptomatic or at least feel they can manage their minor symptoms. Second link is to Dr Fauci's NEJM article published yesterday where he has revised his expectations way down too. See you later.
https://www.dailywire.com/news/epidemiologist-behind-highly-cited-coronavirus-model-admits-he-was-wrong-drastically-revises-model?utm_source=facebook&utm_medium=social&utm_campaign=benshapiro
https://www.nejm.org/doi/full/10.1056/NEJMe2002387
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Adam Atherton
Farragut TN
United States
Original Message:
Sent: 26-Mar-2020 12:11
From: Julie Omohundro
Subject: Off Topic - How is everyone doing?
Not to get back into defining terms, but "soon" is also in the eye of the beholder. I'm not sure what everyone else is expecting/preparing/hoping for, but if we can cease social distancing in two weeks, for me that will be very soon. In three weeks, soon. After that, I'm going to start to get impatient and then descend into crankiness. But the numbers I have to work with suggest I am unlikely to get too cranky. (Well, not about social distancing, anyway.)
I finally found a decent calculator, so I have a bit more confidence in these figures. Starting with the 504 cases reported in North Carolina as of Tuesday, I ran the numbers out to 10 million cases (100% NC state population = 100% NC herd immunity) assuming four different rates of daily increase (20, 30, 40, 50):
o If reported cases increase at 20% per day, the entire NC population will have been infected in about 6 weeks.
o If reported cases increase at 30% per day, the entire NC population will have been infected in just over 4 weeks.
o If reported cases increase at 40% per day, the entire NC population will have been infected in just under 5 1/2 weeks.
o If the rates increase at a rate of 50%, the entire NC population will have been infected in about 3 1/2 weeks.
Either way, using these figures, social distancing seems unlikely to be useful here in another 3-5 weeks, even if the virus continues to spread for a while longer, given that the objective of social distancing is not to slow the rate of increase just for the sake of slowing it, but to reduce stress on our healthcare system (especially ICUs and ventilators, it would seem).
No matter how stressed the healthcare system might get if cases increase at a brisk rate of 50% daily, in 3.5 weeks, at this rate there will be nobody left to infect, so the rate of increase will stop. Add a week or so for the most recently diagnosed cases to progress to the point of needing hospitalization and however overwhelmed our healthcare system might be at that point, it can't get more overwhelmed, because there will be no new cases to overwhelm it.
On the other hand, if the rate of increase slows to a steady 20% (about the best I think we could expect from social distancing, as opposed to outright quarantine), this should give considerable relief to our healthcare system. At the same time, assuming the virus continues to spread until everyone in the state has been infected, it will stretch the epidemic out to 6 weeks. If social distancing continues for another 6 weeks, then I'll be getting pretty cranky. But, under this slow-spread scenario, that seems unlikely.
Activity on the supply side should start to increase the capacity of our healthcare system noticeably before then. I'm expecting only moderate relief, and only from companies that already produced masks, ventilators, etc. There is probably a limit on how much they can ramp up without capital investment and hiring, which would mostly take too long. But they can almost certainly make a meaningful dent with increased shifts and economies of scale.
This is the math and basically how it seems to me that it almost has to play out this way in every state, although the rates of increase will vary and the size of the state's population will determine how long it would take to max out..and that's assuming it runs through the entire population, which such epidemics never do, at least not all in one season. "Herd" immunity specifically does not mean every member of the herd, but the herd in general.
Other important population factors will affect rate of increase, which of course will not obligingly settle out at a perfect X% per day for the duration. In New York, it should spread rapidly in NYC, but it should take a good bit longer to saturate rural upstate areas. NC has several densely populated hubs and a lot of rural and small town areas. Predictably, the virus is catching fire in Charlotte as I type. The Research Triangle holds a large population, but it is less dense, so a little slower there. As of yesterday, we now have two cases in reported in Alamance County.
I was initially puzzled when people would talk about the speed with which the virus was spreading in one breath and then predict "we" would be dealing with the epidemic through summer in the next. But that's another definition. "We" as a country, probably. "We" as individuals, or individual cities, or even states, probably not. The timeframes will be different in different states, some concurrent, sequential, some overlapping, from the first case in Washington State to the last case in...if there were a betting pool, my money would be on Karinen, South Dakota. Never heard of it? Well, there you go.
If you want to crunch some numbers for your pwm city or state, but aren't a number-crunching whiz, this online tool is easy to use:
https://www.rapidtables.com/calc/math/exponential-growth-calculator.html
Initial value (x0): Enter current case count
Growth/decay rate (r): Enter your choice of rate of increase
Time (t): Enter your choice of number days or weeks
Value at time t (x(t)): This tells you how many people will have been infected after that many days/weeks, at that rate of increase.
There is probably another tool out there in which you could enter total population and it would calculate time, but I found it easy enough to use trial and error, and this is just an approximation, anyway.
Please keep in mind that this is more like a conceptual model that will produce some useful numbers in terms of getting some kind of sense of what is going on and how things are likely to play out, but the exact numbers are unlikely to be realized in the "real" world.
.
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Julie Omohundro, ex-RAC (US, GS), still an MBA
Principal Consultant
Class Three, LLC
Mebane, North Carolina, USA
919-544-3366 (T)
434-964-1614 (C)
julie@class3devices.com
Original Message:
Sent: 25-Mar-2020 19:10
From: Adam Atherton
Subject: Off Topic - How is everyone doing?
Because this seems to be thread where Cvirus is discussed from different perspectives I am posting link to Fauci's NEJM article on COVID-19 posted today. Please note the following, "the overall clinical consequences of Covid-19 may ultimately be more akin to those of a severe seasonal influenza (which has a case fatality rate of approximately 0.1%) or a pandemic influenza (similar to those in 1957 and 1968) rather than a disease similar to SARS or MERS, which have had case fatality rates of 9 to 10% and 36%, respectively."
Take appropriate measures to protect yourself and others, especially the vulnerable. There is no need to panic. We will get through this soon.
https://www.nejm.org/doi/full/10.1056/NEJMe2002387
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Adam Atherton
Farragut TN
United States
Original Message:
Sent: 16-Mar-2020 09:04
From: James Davis
Subject: Off Topic - How is everyone doing?
Hi All.
I was wondering how everyone was coping in current circumstances, how worried are people?
We are not in lock down in the UK but panic buying is in full swing! Luckily I can work remotely but I do fear around what will happen to a number of industries. Virgin Atlantic are reportedly asking employees to take eight weeks un-paid leave! How as people going to cope!
James
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James
Head of QARA
UK
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