Since the death rates due to COVID 19 seem to vary strongly between different countries, the suspicion stands to reason that this may have to do with different qualities of the health care systems in these countries. So I have compiled a list of countries ranking them based on the ratio of deaths due to COVID 19 and cumulative infected persons up to 10/04/2010 (around noon) according to data published by the Johns Hopkins University. To make sure that these are countries not just at the beginning of an outbreak (where rates may not yet be stable), I have restricted myself to cases with at least 20000 cumulative infections, except for South Korea and Austria, where I happen to know that they have a sufficiently long history with the disease. This gives the table below, in which I have also included the number of reported recovered cases, which gives an indication as to the current phase of the pandemic in the respective country. And I have added data for the city of New York which alone has more cases than all of China (if the numbers given by China are correct).
Date: 10/04/2020
Country Cumulative Infected Deaths Rates (%) Recovered
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South Korea 10450 208 1.99 7117
Turkey 42282 908 2.14 2142
Germany 118235 2607 2.20 52407
Austria 13377 319 2.38 6064
Canada 20765 510 2.46 5311
US 466299 16686 3.58 26522
Switzerland 24172 958 3.96 10600
China 82924 3340 4.03 77758
New York 87028 5150 5.92 0
Iran 66220 4110 6.21 32309
Spain 157022 15843 10.09 55668
France 118785 12228 10.29 23441
Netherlands 21910 2405 10.98 280
Belgium 26667 3019 11.32 5568
United Kingdom 65872 7993 12.13 359
Italy 143626 18279 12.72 28470
(Because this editor does not reproduce spacings correctly and the text font width is not fixed, I attach the table as a pdf document and as a png image, which will make it more readable.)
As an aside, it may be noted that the ratio of the number of deaths to the number of recoveries for the closed cases, i.e., the known cases of infections that have meanwhile ended one way or another, is much higher as of April 8. Deaths constituted 21.12 %, recoveries 78.88 % (source: https://www.worldometers.info/coronavirus/worldwide-graphs/#newly-infected-newly-recovered) of all such cases. This does not mean that in the long run such a high percentage will die, because this count misses all recoveries of persons that had too weak symptoms to ever enter a hospital or get a test.
The table contains some expected and some unexpected results. For example, while the relative positions of South Korea and Germany were roughly to be expected for someone following the development of the last few weeks, the position of Turkey is a real surprise to me. But seeing that they have only one twenty-fifth of recovered cases at about a third of infected persons in comparison with Germany, I would conclude that they are still much closer to the beginning of the epidemic than Germany and they either test a lot or have a real explosive development of infections, increasing the denominator in the ratio deaths vs cumulative infected. Their rate of deaths vs recovered persons is not particularly good so the conclusion that they have a good health care system would be premature. But we shall see whether they can keep their position...
Germany, Austria, and Canada seem to fare about equally well. The pandemic started somewhat earlier in Austria than in Germany and their infection curve seems to flatten more strongly already. But the numbers seem to correspond to the fact that Austria has about one tenth of the population of Germany.
The US have, to my knowledge, the most expensive health system in the world, about twice as expensive per capita as th German one. But it is a system mostly for the rich. If you need treatment for certain diseases where cutting-edge research results are important (such as certain cancers), getting that treatment in the US may be life-saving. If you can afford to pay for it, you'll have your surgery or whatever in the best clinic which likely is in the US. But many US citizens will not benefit from the advances at the top of their system, because they have no health insurance at all or no insurance at the moment of disease, their insurance being coupled to employment. So it may not be too surprising that the US does not show up at the top of the list. On average, they are still doing pretty well, but the social component of their system becomes immediately visible by looking at New York that has about the same quality of results as Iran... (Also, there are rumours that black people have lower survival chances in New York than white ones.) The figures for Iran may not be reliable, though.
There may be a large dark figure in the case of China, too, so it is not clear whether their relatively low rate signifies that they have health care comparable to Switzerland indeed.
In the case of Spain and Italy, we can be sure that their health systems had at least a partial breakdown (which is probably true of France as well), which lead to an increase of death rates. There is evidence of triage in Italy, e.g. the story of a 72-year old priest who renounced a respiration apparatus in favour of a younger person -- and died. One may of course see this as a consequence of insufficient resources of the health system. Of the European countries, Germany seems to have the highest number of intensive care beds and the largest reserve capacities. Apparently, they exceed those of the UK by a factor of 10 or so, and this may play an important role. In any case, the National Health Service of the UK does not have the best reputation. And the German health care system has not yet touched its limits. This may happen two weeks from now, if the rates of new infections don't drop.
Of course, there may be other reasons for the high rates of the six European countries at the end of the table. Maybe the number of unreported cases is much higher there and the actual death rate correspondingly lower. It seems that testing for the disease is not done as extensively in those countries as in Germany. But it is doubtful whether this can account for a factor of five in the rate. Also, Germany did not test as much as South Korea (and did not as efficiently track the contacts of established cases), otherwise they would never have had 10 times as many infections. And you cannot easily get a test in Germany. Symptoms such as fever or cough are not enough to be tested for COVID 19, you need to have had contact with an infected person.
I have seen dark figures of infections estimated to be as high as six (for the US, which would mean they have 3 million rather than half a million infected persons), so it is not excluded that a substantial part of the differences is due to a wrong denominator -- assuming that the number of deaths is about correct, i.e., there are only few misattributions. But if six is a decent figure for the US, then two would probably be a minimum for the European countries (they will not be that much better in detecting infections than the US), so the spread is still only about three, leaving room to attribute differences to differences in health care quality.
Does this sound reasonable or are there more important reasons for the differences? (Age structure comes to mind, but is definitely not sufficient to explain the difference between Germany and Italy.)