The Beginning of the End, or the End of the Beginning?

Fhloston Paradise interior film frame

We see the hotel lobby of the Fhloston Paradise hotel, the enormous space cruise-ship from Luc Besson’s movie “The Fifth Element”. It occurs to me that our global village, the Earth, has itself become a huge space cruise-ship, including the below-decks squalor of the quarters of the millions of people working away to provide the luxury for the passengers in the luxurious areas in the top-decks.

Now turn to some other pictures. Covid-19 bar-charts.

No photo description available.

From top to bottom: (per day) new proven infections, new hospital admissions, deaths, in the Netherlands. Source: Arnout Jaspers. It looked to Arnout that we were already past the peak of the epidemic. His source: RIVM,

The curves look to me like shifted and shrunk versions of one another. About a third of those who are reported infected (mostly because they actually reported themselves sick) get so bad they go to hospital a small week later and a quarter of them die there just a few days later.

People who are infected (and infectious) but don’t realise it are not in these pictures. There have been an awful lot of them, it seems. Self-isolation is reducing that number.
As Arnout figured out for himself by drawing graphs like this, and David Spiegelhalter reported earlier in the UK, this pandemic is in some sense (at present) not really such a big deal. Essentially, it is doubling everyone’s annual risk of death this year and hopefully this year only. This means that 2% of all of us will die this year instead of the usual 1%. It looks as though the factor (two) is much the same for different age-groups and different prior health status. The reason this has such a major effect on society is because of “just-in-time” economics which means that our health care system is pretty efficient when the rate is 1% but more or less breaks down when it is 2%.

What is alarming are reports that younger people are now starting to get sicker and die faster than originally was the case. Human-kind is one huge petri-dish in which these micro-machines [“The genome size of coronaviruses ranges from approximately 27 to 34 kilobases, the largest among known RNA viruses”. The “basis” units on the molecule are nanometers in size] have found a lovely place to self-replicate, and with each replication, there are chances of “errors”, and so it can rapidly find out for itself new ways to reproduce even more times.

The problem is, therefore, “the global village”. Mass consumerism. Mass tourism. Basically, the Earth is one cruise-ship. One busy shopping mall.

I would like to see the graphs in square root scale or even log scale. You will better be able to see the shapes, and you will more easily see that the places where the numbers are small are actually the noisiest, in a relative sense.

Today’s insights

I was going to write about some new insights here. I posted a picture. Then later added more pictures, to which I need a quick URL in order to refer to them elsewhere. So the new insights never came. But I think I still know what they were. Maybe I’ll write about them another time.

1000 points uniformly distributed on the sphere using the Archimedes theorem method (z is uniform [-1, +1]
2 “t-slices” of a uniform random sample (x, y, z, t) from S^3
Empirical historgram, and theoretical density of, t
“t-slices” of a uniform random sample (x, y, z, t) from S^3. N = 100 000. Delta t = 0.01. Red, radius 0.3. Blue, radius 0.8.
Histogram of x-coordinate of sample of ca. 52000 uniformly distributed points in 3-ball. Theoretical density = parabola. Also drawn: density of x-coordinate of uniformly dist points on 3-sphere = semicircle.
(x, y, z) coordinates of sample of size 1000 of uniform random points (x, y, z, t) on the 3-sphere.
1000 (x,y,z) points from uniform random sample of points (x,y,z,t) on 3-sphere.

My first WordPress post

This is my very first post on my very own WordPress site.

I’m Richard (David) Gill, a mathematical statistician in the Netherlands; originally from England. I’m an emeritus professor of Mathematical Statistics in the Faculty of Science, Leiden University, Netherlands (aka “Holland”), Europe. If you google “Richard Gill statistics” you may well get to know more about me. My usual internet name is “gill1109”. Guess why.