TexAgs91 said:Where is the upper limit though? The barriers may depend on population density and other factors so not everyone will have the same upper limit. A place like NYC is dense and it's easier to continue the exponential phase of the curve to a higher number before it levels off than it would be much of the rest of the country.BlackGoldAg2011 said:TexAgs91 said:It's not exponential. It's an epidemiological curve which has a big difference from an exponential curve: It has an upper limit.Proposition Joe said:
I'm glad you learned javascript. Next up should be statistics, then exponential growth.
While prop joes post was in jest there is a serious part of it and you actually hit on it in the very end of your rebuttal. That epidemiological curve starts out exponential until it transitions. It makes that transition when it starts to hit barriers to exponential growth. Those barriers come in the form of either a shrinking pool of people left who can be infected or limited population movement. This is where the problem lies with looking at infections as a percent of population. We are still pretty early in the spread across most of the country and because of how the early exponential growth works, you would expect to see similar growth whether you are in a city of 500k or 10MM. 1 case becomes 3 becomes 9 etc. it's not until the smaller community starts to reach a breakover point in their curve due to the population that you will see separation in those curves. So it's really not until the later stage of an epidemic that percent of population infected becomes a useful measure. At early stages it does silly things like make it look like a small county in Idaho has it worse than NYC where we know hospitals have gotten nearer to a breaking point than anyone should be comfortable with.
I completely agree and you will definitely see things like that shake out in the end when you look at areas by percentages. I just meant to point out that due to how these things begin and grow, looking at percentages in the early phase are going to disproportionately make places with lower populations look worse than they are. And make some places with very high populations look better than they are.