I disagree with this. The difference is reflex time is marginal among different races. The biggest impact, especially for single's badminton, is height and will always be height. The average Caucasian will always have a height advantage over the average Asian.
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IMO, if every country in Europe treated badminton the way Denmark did, Asia would no longer dominate badminton, simply because we have a height disadvantage. If every European country took badminton as serious as Denmark, the best badminton players would be European (especially from European countries where they are taller). Whatever tiny advantage we have in reflexes is heavily negated by height.
Actually, the nature of badminton is very different from tennis. The requirement of height and hand-strength is significantly larger in tennis. In tennis, if you notice, all the current top male players are over 5 feet 11 at least, and all the top female players are over 5 feet 7. Rod Lever(at 5 feet 8) and Justin Henin(at 5 feet 4) are few rare exceptions from past.
That has never been the case with badminton. You could always find relatively average-heighted or even short players. Lee Chong Wei , at about the same height as Lionel Messi(5 feet 7) could be a top male player in badminton for so long. Susi Susanti was barely 5 feet 3. All the Japanese female players- from Akane to Nozomi are relatively short. TTY is also not tall. Even Saina, at 5 feet 5, or Wang Shixian, at 5 feet 6, are not very tall.
This is because- I think in badminton stamina, speed, agility,placement and deception are more important than height and strength. In tennis a powerful and bouncy serve or return will be quickly out of reach of a player with short reach, and even if he is fast and returns, the pressure of strength will be always there. That is not the case with badminton.
I am not saying that height has no advantage in badminton, but it is sigficantly less than in case of tennis.
Also, team work is more important in badminton doubles than in tennis doubles. In tennis Roger Federer could doubles medal in olympics. In badminton I doubt even a team of LD and LXR will be able to win much.
Another thing is that not all asians are short. Not even all east-asians are short. We tend to group all east-asians as one group . But durting world war 2 - the average Japanese was measured at little over 5 feet 2 inches(the current Japanese are about 4-5 inches taller). But during the same time the Mongolians were measured at close to 6 feet 6 inches(6 and half feet). So there is no way that Japanese and Mongolians are same race. Actually there is a lot of debate on whether the concept of race is even a biologically meaningful one- even if it is, it certainly is much more complex than dividing the world smoothly into 3 or 4 races.