No I do not.
In fact using the sets of assumptions that I have felt are most likely true I come with not dissimilar results.
Diamond Princess Cruise was not average adult demographics but way overweighted to a senior demographic. People want to argue that maybe a higher SES and healthier senior demographic, well maybe, but age is an independent risk factor for mortality and severity of infection. The fact that in a cohort overweighted to a higher risk elderly demographic the infection mortality rate was, per your previous post, 0.66%, tells us that that is the number for a high risk demographic which is likely to have many fewer asymptomatic and mild infections than younger lower risk groups are.
I also do not believe that the rate of infections in Hubei with cases believed to have begun in late November, with no major public health intervention for two months from its likely onset, resulted in a grand total of only about 0.1% of the province becoming infected (67,802/59,000,000). Maybe two to three orders of magnitude off seemed more realistic at the time and now.
How can we get a sense of what the number might be?
Well you look at a flight of 126 German nationals who returned from Wuhan on 2/1/20. Of those 126 there were two that tested positive as acutely infected (1.6%), none who had symptoms. No way to know how many had had mild to asymptomatic infections already resolved. So minimally acute asymptomatic infections are not so rare that going two for two is unlikely.
Using an SIR model right now requires picking assumptions mostly pulled out of the air because actual data that can be believed is lacking.
IF I was to attempt a model I would at least model it under a range of possible assumptions. I would ignore “confirmed infections” having any model meaning at all.
One set would include that the death rate of those with infections across all with identifiable disease but untested and not labelled is 0.1%, and that for each of them there are maybe 9 asymptomatic to unsuspected mildly symptomatic cases.
I would in this set also posit that the 24% of Americans who are children function as if they are Resolveds in the SIR model by virtue of low contagiousness. That herd immunity comes into play for this disease at 40% of the population functioning as Resolved. And that under social distancing guidelines younger lower risk individuals are more likely to among those less compliant and among those in the “essential” workforce, experiencing the larger share of infections first, with higher risk individual less likely to be noncompliant with social distancing rules and less frequently part of the “essential” workforce.
We need to add 16% more of the total population to get the total in the Resolved bucket to 40%, which means 21% of all adults. As noted it seems probable to me that young adults be in groups to get infected more, and to have higher asymptomatic rates, but lets just go with the overall numbers above. Adults are 76% of the U.S. 330 million population. 0.760.21330*0.01=53,000 (rounding up). Seems low.
Do I have any solid basis for those assumptions? No of course not. But neither are they unbelievable ones out of keeping with what we do actually know. Until seroprevalence studies are done we have no real idea about how many cases of SARS-CoV-2 infection are asymptomatic/very mildly symptomatic to diagnosably having COVID-19 and what the true infection mortality rate is. We do not know for sure that kids are not contagious (but we have some evidence to suggest that they are not very contagious at least). We don’t really know at what point for this disease herd immunity would play a role and to what degree under social distancing being in effect the bulk of those infected would be in the lower risk groups and to what degree the higher risk groups can be protected.
I cannot assume my chosen assumptions are true or false, maybe herd immunity for this disease needs 45%, no one really knows, and we cannot assume the assumptions chosen by the modelers are true or false either. We are simply missing the key critical inputs. I’d bet mine are not exactly right. I’d also bet against the other sets of assumptions as well. But I do believe the growth curves similarities because they are data: day 12 after 1 death/million Italy was increasing at 26% a day; day 12 for New York it’s 27%.
Just like kids don’t always follow the exact percentile growth curves I don’t expect these to stay lock step from here. But given that all the Western countries before us have followed the general shape I would be very surprised if we did not