There was a small amount of good news recently. Today’s tally fell short of my initial prediction. Yesterday’s tally of 68,211 was markedly less than the rough prediction I had made two weeks prior to that date (100,000). That is good. But all it really means is that the minimal measures taken thus far have slightly curbed the otherwise exponential growth in the infection rate. Tomorrow, I’ll try to explain that better with some math. Though I should note that one day after that prediction (and as I type these words) the number of identified COVID-19 cases in the US stands at 85,991.
One week ago today, I made a very rough estimate, based on some assumptions stated in that post. How accurate was that guess?
At that time, 1,000 cases had been identified within the US. My quick calculation was to assume an order of magnitude gain per week for a few weeks (before saturation was approached). So today should have been 10,000 by that calculation.
I had rounded down to be conservative, it seems prematurely. As I type this, the number of cases in the US stands at 14,250.
In the following post, I fitted the past data to an exponential curve. That seemed to paint a darker picture. Then today, the picture was darker yet. I will keep you posted.
Don’t watch Fox News, as it is unvarnished propaganda against the United States of America.
The following charts are based on the data found at https://www.worldometers.info/coronavirus/country/us/ and represent a trend if there were no intervention. That is an important caveat, as the pictures might be otherwise alarming.
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.
Entertainment delivered in the manner of news has poisoned the minds of Fox News viewers to the point where utterly implausible claims are made without eliciting a hint of skepticism. And when one’s mind is full of bullshit wholeheartedly accepted as fact, a person becomes a danger to himself and others.
What is worse is that a person completely ignorant of a topic is far better at making rational decisions than one immersed in false knowledge. If the ignorant person is honest, he will deliver his findings with the important caveat that he is not knowledgeable in such matters. The propaganda consumer will, one the other hand, claim a high level of expertise when delivering his own analysis based entirely on bullshit. Of course as a Fox News viewer, this analysis will likely be delivered at an unpleasantly high volume.
Anyone who consumes information from Fox News is a willing dupe of the most successful propaganda unit since the Völkischer Beobachter of the 1930s.
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.