First: Fit the raw data to a curve. This is not necessarily the best fit. I fit a curve to each two points from first major spike (02 MAR 2020) to the next to most-recent data point. I compared each such exponential curve to all others to find the best (least-squares) fit. The resulting curve looks to be a pretty good fit.
Second: What do we do with models? We make predictions. Again, this is assuming that NO INTERVENTIONS have taken place. Certainly they have. While nearly nothing has been done by the hamstrung Federal agencies, states, cities, and private companies have been forced to take the reins. Hopefully we will start to see results soon. But for the time being, we probably won’t see too much change in the next week. So this might be an accurate look.
Third: Hopefully, the non-Federal agencies’ efforts will have begun to pay off. If not, we could begin to expect something like this in two weeks.
Fourth: I want to make it absolutely clear that I do not expect this to happen. The Federal organizations will have begun to overcome the sabotage of their capabilities, and state and local organizations will likely have become more efficient. Additionally, at this point, the ocean may no longer be considered infinite. That is to say, as a significant fraction of the population is exposed, the curve must begin to level off. A large fraction will have recovered and will no longer be contagious. A smaller number will have died and will also no longer be contagious. And multiple exposures to an individual from different sources will still only net a single potential infection in that person. That said, this is the point when out health care system would become extremely taxed.
Perhaps tomorrow, I will look at the relative success of South Korea to see the upper end of our optimism.
Let’s consider the infection rate. I have heard a rough approximation of a doubling every two days. From a purely mathematical perspective, this may be considered as two to the power of n/2 (where n is the number of days). In a week, this would be:
2^3.5 = 11.3
Now allowing for some of the afflicted to have recovered (or died), let’s reduce that number from 11.3 to 10.
In this simplification, we simply add a zero each week. Without delving deeply or referencing the source from which I found this, I recall the following (top three rows, obviously, and extrapolating from there):
where the -2 means two weeks ago, and the +1 means a week from now.
Now obviously there is a catch. We approach saturation as time moves forward. Six weeks from now, there will not be one billion infected people in the US, as there are only about 325 million of us to begin with. Which means that, as the numbers increase, the curve will begin to flatten. This has already begun to happen in China and, more obviously, in South Korea. The South Korean government has been a case study in a sober, active, and pragmatic response to an emerging threat. In South Korea, the curve began to flatten far below the saturation level. Despite being home to one of the great world cities (Seoul), South Korea was able to rein in this virulent pathogen in a way no other country has yet approached.
I hope our country’s response ultimately more closely resembles that of South Korea than that of China, but I fear it may end up worse. If this administration emulates the regime of its benefactor, the US populace will simply be kept in the dark as an unchecked pathogen is left free to exact whatever price it will.