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Monthly Discussion

 

 

The Coming of Age of the US

 

As the Olympic Games came to a close earlier this month in Athens, Greece, voices were raised about the number of medals won by the various countries and the rating of countries performances. The US took home again the greater number of medals, but some Greeks argued that considering the size (and budget) of their country Greek athletes performed better. I tried to look at this question from different angles.

It makes sense that a prosperous country with a large population should have an easier time producing record-breaking athletes than a poorer smaller country. But do things scale? Should a country with twice the population bring home twice the number of medals? If this were the case, for the US to be as "athletic" as Greece, it should have scored 432 medals, and for China this number should rise to 1918!

Then is the question of prosperity. The richer a country the more sports its people indulge in. In fact, I have demonstrated in Predictions that breaking the one-mile-run record is an activity that correlates with economic well-being. Prosperity and the leisure time associated with it seem to help sports. But again a linear relationship between richness and the number of Olympic medals won would not hold.

Someone also pointed out that this time in Athens, the Greeks entered an athlete delegation greater than all countries. Before we scale the medals won by a country we should perhaps first scale the size of the teams participating.

But there is another phenomenon that argues against simple-minded linear relationships. Olympic performances are on the ceiling of the performance‑vs.‑effort (or training, money, etc.) S‑curve. That is, doubling the effort (training, money, etc.) in no way doubles the performance. However, other things being equal, the smallest increase in effort (training, money, etc.) would yield an increase擁f infinitesimal擁n performance, which with accurate chronometers would lead to a medal. So the number of medals won say per GDP/capita should make some sense, on the average!

But is the average the correct measure? With performances separated only by thousands of a second, chaotic events (e.g., a small pebble under the foot of an athlete) and other extreme phenomena (mutations are not necessarily proportional to the population or to GDP/capital) would make this measurement meaningless.

With a large delegation the Greek team was able to compensate for some elimination of medals due to chaotic phenomena. Looking at the historical records, it becomes evident that during the Olympic Games the hosting country usually features a large delegation of athletes and reaps an unusually large number of medals. But once again it cannot be argued that twice the size of a delegation should yield twice the numbers of medals.

This problem appears overly complicated so I decided to look at a simpler question via a relatively bias-free indicator. Exhibit 3 shows the evolution of the share of Olympic medals won by the US over the years, leaving out the years when the Games were staged on American home ground.

 

Exhibit 3. Percentage share of Olympic medals won by Americans outside the US. The purple curve outlines a natural-life-cycle curve. The date and arrow highlight the middle of the theoretical curve.

 

The idealized curve (purple line) peaks in the mid 1930s, and at first glance, it may seem odd that it is during the depression. But if we take into account two other indicators, GDP and energy consumption, we see that US hegemony in the world reached its peak during the depression.

Exhibits 4 and 5 show respectively US energy consumption and GDP as a percentage of the world totals. The story repeats itself. In both cases US dominance in the world goes up and down with respective peaks in the mid 1920s and mid 1940s. The sequence of events is interesting. First is the peak in energy consumption, ten years later is the peak in Olympic medals, and another ten years later the peak in GDP. These three decades straddle the depression, which however was not a uniquely American phenomenon. The whole world underwent a depression. As a matter of fact, judging from the three peaks in world shares, US hegemony was at its highest during these three decades.

 

Exhibit 4. American energy consumption as a share of world energy consumption. The purple curve outlines a natural-life-cycle curve. The date and arrow highlight the middle of the theoretical curve.

 

Exhibit 5. American share of world GDP. The purple curve outlines a natural-life-cycle curve. The date and arrow highlight the middle of the theoretical curve.

 

Declining market share, negative as it may seem, it is not necessarily evidence of a general decline. It is rather evidence of the rising of the rest of the world. We have other examples of this phenomenon. IBM痴 market share was over 90% of all computers sold in the 1960s and has dropped to less than 50% today. The appearance of many other computer manufacturers in the market caused IBM痴 market share to decline but the company itself did not shrink. On the contrary it grew and stabilized profitably at a lower market share.

Exhibit 4 already shows some evidence of stabilization in US痴 share of energy consumption from 1990 onward at around 25%. There is a large part of the world whose energy consumption still needs to rise. But a stable market share for the US implies that its energy consumption will also be rising along with the rest of the world.