Isegoria

Leonardo da Vinci’s Vitruvian Man has an arm span equal to his height, David Epstein explains (in The Sports Gene):

So do I. So, probably, do you, or very nearly so. Nate Robinson, on the other hand, is 5’7¾” and his arm span is 6’1″. He is, effectively, not as short as he is. Actually, almost none of the players in the NBA are as short as they seem, including the ridiculously tall ones.

The average arm-span-to-height ratio of an NBA player is 1.063. (For medical context, a ratio of greater than 1.05 is one of the traditional diagnostic criteria for Marfan syndrome, the disorder of the body’s connective tissues that results in elongated limbs.) An average-height NBA player, one who is about 6’7″, has a wingspan of seven feet.

An NBA general manager who wants to increase his team’s blocked shots would be better off signing a player with an extra inch of arm than an inch of height.

There is such a premium on extra height in the NBA, David Epstein explains (in The Sports Gene), that the probability of an American man between the ages of twenty and forty being a current NBA player rises nearly a full order of magnitude (10x) with every two-inch increase in height starting at six feet:

For a man between six feet and 6’2″, the chance of his currently being in the NBA is five in a million. At 6’2″ to 6’4″, that increases to twenty in a million. For a man between 6’10″ and seven feet tall, it rises to thirty-two thousand in a million, or 3.2 percent. An American man who is seven feet tall is such a rarity that the CDC does not even list a height percentile at that stature. But the NBA measurements combined with the curve formed by the CDC’s data suggest that of American men ages twenty to forty who stand seven feet tall, a startling 17 percent of them are in the NBA right now.

Find six honest seven-footers, he suggests, and one will be in the NBA.

The mile is the perfect distance for a foot race, Alex Hutchinson argues:

But the very elements that make the mile so much fun to watch also make it tricky for physiologists to study. Long-distance running is a maximization challenge: almost anything you can do to boost your VO2 max, lactate threshold, or running economy will make you better. Sprinting is also a maximation challenge, focused instead on the ability to generate the most powerful forces and release large amounts of anaerobic energy as quickly as possible. It’s relatively straightforward to study how to maximize these parameters.

In contrast, middle-distance events — 800 meters, 1,500 meters, and the mile — require a compromise between these two extremes. Increasing the force you transmit to the ground with each step, for example, might worsen your efficiency, and vice versa. Instead of a maximization challenge, middle-distance training is all about making the best trade-offs possible between the conflicting demands of speed and endurance. In other words, as an ambitious new paper in Sports Medicine argues, it’s an art.

The skeleton you are bequeathed with, David Epstein explains (in The Sports Gene), has a lot to do with whether you will ever pack on the weight you need for a particular sport:

In measurements of thousands of elite athletes from soccer to weight lifting, wrestling, boxing, judo, rugby, and more, Holway has found that each kilogram (2.2 pounds) of bone supports a maximum of five kilograms (11 pounds) of muscle. Five-to-one, then, is a general limit of the human muscle bookcase.

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Male Olympic strength athletes whom Holway has measured, like discus throwers and shot putters, have skeletons that are only about 6.5 pounds heavier than those of average men, but that translates to more than 30 pounds of extra muscle that they can carry with the proper training.

David Epstein explains (in The Sports Gene) that we’re seeing a Big Bang of body types in sports:

When Norton and Olds plotted the heights and weights of modern world-class high jumpers and shot putters, they saw that the athletes had become stunningly dissimilar. The average elite shot putter is now 2.5 inches taller and 130 pounds heavier than the average international high jumper.

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Early in the twentieth century, the top athletes from every sport clustered around that “average” physique that coaches once favored and were grouped in a relatively tight nucleus on the graph, but they had since blasted apart in all directions.

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Compared with all of humanity, elite distance runners are getting shorter. So are athletes who have to rotate in the air — divers, figure skaters, and gymnasts. In the last thirty years, elite female gymnasts have shrunk from 5’3″ on average to 4’9″.

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Simultaneously, volleyball players, rowers, and football players are getting larger. (In most sports, height is prized. At the 1972 and ’76 Olympics, women at least 5’11″ were 191 times more likely to make an Olympic final than women under five feet.)

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About 28 percent of men now have the height and weight combination that could fit in with professional soccer players; 23 percent with elite sprinters; 15 percent with professional hockey players; and 9.5 percent with Rugby Union forwards.

In the NFL, one extra centimeter of height or 6.5 extra pounds on average translates into about $45,000 of extra income.

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Measurements of elite Croatian water polo players from 1980 to 1998 show that over two decades the players’ arm lengths increased more than an inch, five times as much as those of the Croatian population during the same period.

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Elite players now have longer lower arms compared with their total arm length than do normal people, giving them a more efficient throwing whip.

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Conversely, elite weight lifters have increasingly shorter arms — and particularly shorter forearms — relative to their height than normal people, giving them a substantial leverage advantage for heaving weights overhead

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Bench press is much easier for men with shorter arms, but longer arms are better for everything on the actual football field. So a player who is drafted high because of his bench press strength may actually be getting a boost from the undesirable physical characteristic of short arms.

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Top athletes in jumping sports — basketball, volleyball — now have short torsos and comparatively long legs, better for accelerating the lower limbs to get a more powerful liftoff.

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Professional boxers come in an array of shapes and sizes, but many have the combination of long arms and short legs, giving greater reach but a lower and more stable center of gravity.

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The world’s top competitors in the 60-meter sprint are almost always shorter than those in the 100-, 200-, and 400-meter sprints, because shorter legs and lower mass are advantageous for acceleration.

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Perhaps the advantage of shortness for acceleration explains why NFL running backs and cornerbacks, who make their livings starting and stopping as quickly as possible, have gotten shorter on average over the last forty years, even while humanity has grown taller.

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In just eight years after Fosbury’s innovation, the average height of elite high jumpers increased four inches.

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One reason that marathon runners tend to be diminutive is because small humans have a larger skin surface area compared with the volume of their body. The greater one’s surface area compared with volume, the better the human radiator and the more quickly the body unloads heat. (Hence, short, skinny people get cold more easily than tall, hefty people.) Heat dissipation is critical for endurance performance, because the central nervous system forces a slowdown or complete stop of effort when the body’s core temperature passes about 104 degrees.

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Nonathlete women who were measured as a control group for the study had, of course, wider pelvic bones than nonathlete men. But female swimmers had more narrow pelvic bones than the normal, control population of men. And female divers had more narrow pelvic bones than the female swimmers. And female sprinters more narrow than the female divers. (Slim hips make for efficient running.) And female gymnasts had slimmer hips still.

Female sprinters had much longer legs than the control population of women, and about as long as the control men. Male sprinters were around two inches taller than the control men, and 100 percent of that was in their legs, such that when they were seated the sprinters were the same height as the control men.

The male swimmers were, on average, more than 1.5 inches taller than the sprinters, but nonetheless had legs that were a half-inch shorter. Longer trunks and shorter legs make for greater surface area in contact with the water, the equivalent of a longer hull on a canoe, a boon for moving along the water at high speed. Michael Phelps, at 6’4″, reportedly buys pants with a 32-inch inseam, shorter than those worn by Hicham El Guerrouj, the Moroccan runner who is 5’9″ and holds the world record in the mile.

(Like other top swimmers, Phelps also has long arms and large hands and feet. That elongated body type can be indicative of a dangerous illness called Marfan syndrome.)

Some endurance athletes have the talent of trainability when it comes to VO2max, and the same pattern holds when it comes to strength training, David Epstein explains (in The Sports Gene):

Sixty-six people of varying ages were put on a four-month strength training plan — squats, leg press, and leg lifts — all matched for effort level as a percentage of the maximum they could lift. (A typical set was eleven reps at 75 percent of the maximum that could be lifted for a single rep.) At the end of the training, the subjects fell rather neatly into three groups: those whose thigh muscle fibers grew 50 percent in size; those whose fibers grew 25 percent; and those who had no increase in muscle size at all.

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In Miami’s GEAR study, the strength gains of 442 subjects in leg press and chest press ranged from under 50 percent to over 200 percent. A twelve-week study of 585 men and women, run by an international consortium of hospitals and universities, found that upper-arm strength gains ranged from zero to over 250 percent.

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One of the genes that displayed much more activity in the extreme responders when they trained was IGF-IEa, which is related to the gene that H. Lee Sweeney used to make his Schwarzenegger mice. The other standouts were the MGF and myogenin genes, both involved in muscle function and growth.

The activity levels of the MGF and myogenin genes were turned up in the high responders by 126 percent and 65 percent, respectively; in the moderate responders by 73 percent and 41 percent; and not at all in the people who had no muscle growth.

In 1992, a collective of five universities in Canada and the United States began recruiting subjects, David Epstein explains (in The Sports Gene), for a seminal project known as the HERITAGE (HEalth, RIsk factors, exercise Training And GEnetics) Family Study:

The universities enlisted ninety-eight two-generation families to subject their members to five months of identical stationary-bicycle training regimens — three workouts per week of increasing intensity that would be strictly controlled in the lab.

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In the 1980s, Bouchard had put a group of thirty very sedentary subjects through identical training plans to see how much their aerobic capacities would increase.

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Bouchard figured he would see some variation in VO2max improvement between people, but “the range from 0 percent to 100 percent change, I did not expect,” he says. It piqued his interest enough that he decided to test identical twins in three different studies, each with a unique training protocol. Sure enough, there were high responders to training and low responders, “but within pairs of brothers, the resemblance was remarkable,” Bouchard says. “The range of response to training was six to nine times larger between pairs of brothers than within pairs, and it was very consistent.

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Despite the fact that every member of the study was on an identical exercise program, all four sites saw a vast and similar spectrum of aerobic capacity improvement, from about 15 percent of participants who showed little or no gain whatsoever after five months of training all the way up to the 15 percent of participants who improved dramatically, increasing the amount of oxygen their bodies could use by 50 percent or more.

Amazingly, the amount of improvement that any one person experienced had nothing to do with how good they were to start.

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Along the improvement curve, families tended to stick together.

David Epstein calls this the talent of trainability. He had it himself:

When I first started running track in high school, I had such trouble keeping up on longer runs that I went to a pulmonologist who tested my breathing and found that I was only expelling about 60 percent as much air as my peers with each breath.

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Each fall during college I would report to school having done the same exact, prescribed light summer training that all the half-milers did. And yet, I would invariably be in worse shape than the rest of the guys.

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But when the arduous training began, I would catch up, quickly. When I visited the pulmonologist in the winter, the results showed that I was miraculously transformed into a young man with the power to exhale as forcefully as my peers. Low baseline, quick responder.

When David Epstein (The Sports Gene) spoke with endocrinologists who work with androgen-insensitive women, they all felt that XY women with androgen insensitivity — that is, they have a male Y chromosome but can’t use testosterone at all — are overrepresented, not underrepresented, in sports:

At the 1996 Atlanta Summer Olympics, the last that had cheek swabs, 7 women out of the 3,387 competitors — or about 1 in 480 — were found to have the SRY gene and androgen insensitivity. The typical rate of androgen insensitivity is estimated to be between 1 in 20,000 and 1 in 64,000. Over five Olympic Games, an average of 1 in every 421 female competitors was determined to have a Y chromosome. So women with androgen insensitivity are vastly overrepresented on the world’s largest sporting stage.

Perhaps, then, something about the Y chromosome other than testosterone may be conferring an advantage. Women with androgen insensitivity tend to have limb proportions more typical of men. Their arms and legs are longer relative to their bodies, and their average height is several inches taller than that of typical women.

(Two of the endocrinologists I spoke with said that XY women are also overrepresented in modeling, because they are often very feminine in appearance in addition to being tall with long legs. Before her personal medical information unfortunately landed in the press, the tall, blond Coimbra had been dubbed the “Brazilian Barbie Doll.”)

David Epstein explains (in The Sports Gene) a point that Steve Sailer has been making for decades:

It now appears that a primary reason why women in track and field gained on men in the 1970s and ’80s — and what the Nature papers did not account for — was because they were making up for the lack of an SRY gene by simply injecting testosterone.

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Seventy-five of the top eighty women’s shot put throws of all time, for instance, came between the mid-1970s and 1990, predominantly from Eastern Bloc countries.

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To this day, nearly all women’s world records in sprint and power events are from the 1980s, a testament to the powerful effect of male hormones on female athletes.

In running, from the 100-meters to the 10,000-meters, David Epstein explains (in The Sports Gene), the top ten men are about 11 percent faster than the top ten women:

The women’s 100-meters world record would have been too slow by a quarter-second to qualify for entry into the men’s field at the 2012 Olympics.

In the 10,000-meters, the women’s world record performance would be lapped by a man who made the minimum Olympic qualifying standard.

In the long jump, women are 19 percent behind men.

The smallest gap occurs in distance swimming races. In the 800-meter freestyle, top women are within 6 percent of top men.

Of all the sex differences that have ever been documented in scientific experiments, David Epstein explains (in The Sports Gene), throwing is consistently one of the largest:

The difference in average throwing velocity between men and women, in statistical terms, is three standard deviations. That’s about twice as large as the male/female disparity in height. That means that if you pulled a thousand men off the street, 998 of them would be able to throw a ball harder than the average woman.

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Boys, while still in the womb, start to develop the longer forearm that will make for a more forceful whip when throwing. And while the pronounced differences in throwing prowess are less between boys and girls than between men and women, they are already apparent in two-year-old children.

In an effort to determine how much of the throwing gap among children is cultural, a team of scientists from the University of North Texas and the University of Western Australia collaborated to test both American and Aboriginal Australian children for throwing skill. The Aboriginal Australians had not developed agriculture, instead remaining hunter-gatherers. The Aboriginal Australian girls, like the boys, were taught to throw projectiles for both combat and hunting. Indeed, the study found that throwing differences were much less pronounced between Australian Aboriginal boys and girls than between American boys and girls. But the boys still threw far harder than the girls, despite the fact that the girls were taller and heavier by virtue of their earlier maturation.

Not only are boys generally superior at throwing, but they also tend to be much more skilled at visually tracking and intercepting flying objects; 87 percent of boys outperform the average girl in tests of targeting skills.

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Male Olympic throwers heave the javelin about 30 percent farther than female Olympians, even though the women’s javelin is lighter.

And the Guinness World Record for the fastest baseball pitch by a woman is 65 mph, a speed routinely topped by decent high school boys. Some professional men can throw over 100 mph.

Throwing like a girl has come up here before.