The Geriatric Australian Open

You’ve probably heard about the steady aging of professional tennis.  In both the men’s and women’s games, fewer teenagers than ever are winning important matches, and more and more thirty-somethings are remaining at the top of the game.

My favorite illustration: 25 years ago, the oldest man in the Australian Open draw was Johan Kriek, about two months short of his 31st birthday when the tournament began.  This year, 24 men in the main draw are older.

A total of 33 men in the singles draw have reached their fourth decade, only the third time in tournament history that the number has exceeded 20.  If lucky loser Stephane Robert replaces the injured Gilles Simon, we’ll have 34 thirty-somethings, tied with the all-time record, set in 2012.

Even without Simon’s withdrawal, we already have a record for average age in the men’s draw.  That figure this year is 27 years and 126 days, 80 days more than the previous record, set last year.  (Replacing Simon with Robert would add another 11 days to the average.) The new record also marks the seventh consecutive year that the average age of the men’s singles draw has increased.

While the age of the women’s draw isn’t quite record-setting, the rise of thirty-somethings in the women’s game has been even more rapid.  Only 13 years ago, in 2001, Els Callens was the only woman over the age of 30 in the draw (she was a mere 156 days past her 30th birthday).  This year, there are a record-high 15 players over the age of 30 in the women’s singles draw.

The 2012 Aussie Open field remains the oldest on record, at 24 years and 321 days.  This year’s draw–at 24 years and 292 days–is close enough that, had 16-year-old Ana Konjuh lost her third-round qualifying match to Olga Savchuk, ten years her senior, we would be looking at a new record.

Long term trends and the folly of forecasting

By just about any metric you might devise, the game has gotten steadily older for about 25 years.  As with any trend in the news, this one has led too many commentators–both casual and more academic–to claim that this is a permanent trend, or that “you’ll never see another teenage tennis champ.”

Protip: Never put your money on “never.”

What these arguments often fail to account for is that, for about twenty years after the inception of the pro game in the late 1960s, the sport–both men’s and women’s–consistently got younger.  When the 2012 Wimbledon men’s draw broke that event’s record for average age, the record it was breaking was from 1968.

Sure, there are plenty of possible explanations for the steady age decline of the 1970s and 1980s, just as there are many for the current increase.  And there are probably hard limits at either extreme that prevent the age of the game from swinging too far in either direction.

In any case, we’re not in the middle of an infinite rise in ages any more than we were amid an endless decline in 1985.  Twenty years from now, the 2014 Aussie Open data points could be an meaningless step on this upward path or an important inflection point in another shift in the game.  We’re unlikely to see a teenage Slam champ next year, or the year after that, but is it really possible to make a sensible case that, in six years, today’s 12-year-olds will be helpless against today’s 24-year-olds?

What we can be confident about is what has happened, and even without accounting for the return of Pat Rafter, this year’s Melbourne field represents yet another data point in the aging of elite-level tennis.

Detailed stats: Lots of great things are happening with the Match Charting Project. Several people have stepped forward and started contributing to the project already this year, and we’re up to 144 matches in the database.  From Day One in Australia: Bencic vs Date-Krumm, Venus vs Makarova, and Errani vs Goerges.  I hope you’ll join in the fun.

David Ferrer and Defiance of the Aging Curve (+Updated WTForecast)

Italian translation at settesei.it

At the end of 2009, aged 27, David Ferrer finished the year with an ATP ranking of 17.  It had been a rough 15 months.  A poor pair of Masters events at the end of 2008 knocked him out of the top five, all the way down to 12.  An indifferent season saw him fall out of the top 20 for a few weeks.  Many players never improve upon their mid-20’s form, so had things gone according to script, Ferrer might still be kicking around the high teens.  His near contemporaries Mikhail Youzhny and Tommy Robredo have followed paths of that nature.

Instead, the Spaniard has only gotten better.  He finished 2010 back in the top ten, at #7.  At the end of 2011 and 2012, he sat at #5.  He’s likely to conclude 2013 at his career-high position of #3.  All this at the age of 31, when many players have shifted focus to their golf games.

This is unprecedented.  Ferrer is only the 12th player of the last 30 years to string together four consecutive year-to-year ranking improvements starting at age 24 or later.  He’s only the second to do so starting at 27, and no one has done it from a more advanced age.  The only other man to match Ferru’s current streak doesn’t really compare: Wayne Arthurs improved his ranking from 1998 to 2002 up to an ’02 year-end position of #52.

Admittedly, this streak is a bit of a sideshow curiosity.  But the underlying issue it reveals is more significant.  Even in an era of 30-something stars on the ATP, tennis is a young man’s game.  At the age when Ferrer began his resurgence, most players are fading, if they’re not already gone.

The exact trajectory of the aging curve depends on the data you choose to examine.  I ran the numbers twice: first with all players in the top 300 since 1983, then limited to players born in 1975 or later.  With the bigger dataset, the apparent peak is at age 23-24.  The average player maintains their level from their age 23 season to their age 24 season, but every year beyond 24 brings with it an increasing decline.  For instance, if we set aside those who disappear from the top 300 entirely, 45% of players improve their ranking in their age 25 season, while 2% maintain it and 53% decline.  At age 26, it’s 38%, 2%, and 60%, while at age 31, it’s 30%, 1%, and 69%.

The following graph shows the percentage of players who improve and decline in the rankings at each age.  While there are still a few guys like Ferrer who post a year-to-year improvement at any age, they are harder to find at each successive age.  Also, keep in mind that the later-career numbers include players returning from injury–Lleyton Hewitt, for example, has improved his ranking each of the last two years.

ferru2

Limiting our view to those players born in 1975 or later, we have a smaller dataset, but one that should better reflect the current state of affairs.  Here, the peak is one year later, at age 24-25.  Despite the Ferrers, Roger Federers, and Radek Stepaneks who seem to be rewriting the rules, it is still the case that only 42% of 26-year-olds improve their rankings from their age 25 season, while 3% maintain and 55% decline.

Another way of looking at the decline is by measuring and then aggregating the magnitude of ranking changes.  In the dataset limited to 1975-and-later births, he average player loses roughly 2.5% of his ranking from his age 25 season to his age 26 season, and almost 19% of his ranking from age 31 to age 32.  Using this metric, here is a graph of two “decline curves”–ranking position lost at each age.  Both the overall dataset and the more limited, recent dataset are shown:

ferru3

While the overall direction hasn’t changed from the 80s to the present, the trend in magnitude is clear. At every age in the decline phase, the curve has flattened out, making it a bit more likely that someone like Ferrer would improve throughout his late 20s.

Keep in mind that we’re only measuring those players who remain in the top 300.  Those who retire or fall out of the rankings due to injury aren’t considered, so the actual effect of age–in either dataset–is more severe than these numbers represent.  However, without forcing those guys to play, we can only estimate their aging patterns based on those who do stick around.

Having determined the percentages of players in the current era who improve and maintain their rankings at each age, we can calculate the likelihood that someone would do what Ferrer has done, keeping his ranking moving in the right direction from his age 27 to his age 31 season.  For any individual year, the chances are about 40%, giving us an overall probability of roughly 2.5%, or 1 in 40.  Even limiting our scope to the pool of players in the ATP top 300 at age 27, that seems reasonable–Ferru is, at the very least, a 1-in-40 aberration.

Ferrer’s biggest test yet will be his age-32 season in 2014.  Of players in the current era, 18% of 31-year-olds fall out of the top 300 by the end of their age-32 season.  (In the bigger dataset going back to 1983, 27% disappear.)  Of those who remain, only a quarter improve, and the average ranking change is strongly negative.

Eventually, nature will stop David Ferrer.  Precedents or no precedents, though, he’s a hard man to bet against.  He hasn’t been particularly constrained by nature thus far.

London forecast: After today’s Group B matches, Djokovic is guaranteed a spot in the semis, while Federer’s match on Saturday with del Potro will determine the other semifinalist.  My ratings consider those to be nearly equal on this surface, giving the slight edge to Delpo.  Here is the complete forecast:

Player     3-0  2-1  1-2  0-3        SF      F      W  
Nadal      70%  30%   0%   0%     98.5%  57.9%  33.3%  
Djokovic   73%  27%   0%   0%    100.0%  65.8%  36.3%  
Ferrer      0%   0%  54%  46%     14.7%   5.1%   1.9%  
Del Potro   0%  52%  48%   0%     52.3%  23.3%  10.7%  
Federer     0%  48%  52%   0%     47.7%  20.1%   8.8%  
Berdych     0%  30%  70%   0%     35.8%  11.9%   3.9%  
Wawrinka    0%  46%  54%   0%     51.1%  16.0%   5.2%  
Gasquet     0%   0%  27%  73%      0.0%   0.0%   0.0%

My algorithm doesn’t capture all the complexity of the tiebreak rules, so it’s got Group A a bit wrong right now.  Nadal has locked up a spot in the semis. To clear up any remaining confusion, we’re lucky to have Anna, who lays out the qualification scenarios very clearly for both Group A and Group B.

Today’s matches: I charted both Group B matches today, so there are detailed serve, return, and shot-by-shot stats for each one.  Here is Federer-Gasquet, and here’s Djokovic-del Potro.

Finally, it’s already time to look ahead to Melbourne, as Foot Soldiers of Tennis is monitoring the players on the cusp of direct entry.