The Best at Getting Better

Here’s a stat you probably didn’t know*. Since the restart, the WTA top five in first-serve points won are Naomi Osaka, Serena Williams, Ashleigh Barty, Jennifer Brady, and … Maria Sakkari.

** unless you’ve been listening to me podcast lately.

The first four names are to be expected: Osaka, Williams, and Barty are probably the top three offensive players in the game, period, and Brady makes her money with big serving. Sakkari is the one who stands out. She does many things well, but I would never have thought to put her in this group, ahead of the likes of Karolina Pliskova, Aryna Sabalenka and, well, everybody else.

Sakkari’s first serve might be the best-kept secret in the women’s game, in large part because it hasn’t been around to keep secret for long. When she started playing tour events, her serve was quite weak, and it has only gradually improved since then. That’s what I marvel at. In six seasons at tour level, all with at least 18 matches played, here are her rates of first-serve points won:

Year     1st Win%  
2016        58.6%  
2017        59.7%  
2018        63.7%  
2019        65.2%  
2020        66.5%  
2021        69.9%

This probably doesn’t need further explanation. Fewer than 60% of first serve points isn’t very good, 70% is excellent, and improving from one to the other is a massive accomplishment. But in case you’re not convinced, here’s the same progression along with percentile rankings, showing that Sakkari started her career better than only 13% of her peers, and this year is outperforming 93% of them:

Year     1st Win%  Percentile  
2016        58.6%          13  
2017        59.7%          20  
2018        63.7%          53  
2019        65.2%          67  
2020        66.5%          79  
2021        69.9%          93

Players can and do improve, but they usually retain the same relative strengths and weaknesses throughout their career. The Greek star has broken that mold, and there’s a natural follow-up question: Has there been anyone else like her?

Meet Kiki

Here’s the simple filter I used to identify players who had substantially improved this aspect of their game. For every player with a full season in which they won fewer than 60% of first-serve points (almost exactly the 20th percentile), I identified those who eventually recorded a full-season in the top half of WTA players, roughly 63.3% or better.

From 2010 to 2021–yes, an awfully short span, due to the limited availability of historical WTA match stats–112 different players posted a sub-60% season. 26 of them went on to an above-average year. One example is Carla Suarez Navarro, who won 59.0% of first-serve points in 2010, and peaked at 64.0% (56th percentile) in 2016. That’s a respectable progression, but far from Sakkari’s standard.

Here are the 10 players who improved on a sub-60% season to eventually manage a season of 65% or better, ranked by the best level they attained:

Player       Weak   1st%  %ile  Strong   1st%  %ile  
K Bertens    2015  59.5%    18    2019  71.9%    97  
M Sakkari    2016  58.6%    13    2021  69.9%    93  
D Kasatkina  2017  59.0%    15    2021  66.4%    78  
S Halep      2012  56.4%     3    2014  66.4%    78  
Y Shvedova   2011  59.4%    17    2016  66.1%    75  
A Cornet     2011  58.9%    14    2020  66.1%    75  
M Linette    2016  59.9%    21    2020  65.8%    73  
Y Wickmayer  2012  60.0%    22    2017  65.8%    72  
A Sasnovich  2016  58.4%    11    2018  65.1%    67  
S Stephens   2011  59.7%    19    2015  65.0%    66

Kiki Bertens wasn’t quite as bad as Sakkari at her worst, but she wasn’t getting much benefit from her first serve. Like the Greek, she had back-to-back seasons below 60%, but unlike Sakkari, her improvement was instant. She leapt from sub-60% in 2015 to almost 68% (86th percentile) a year later. You won’t be surprised to hear that her ranking catapulted upwards as well, from 104th at the end of 2015 to 22nd a year later.

Kiki’s several years since also bode well for Sakkari. Her first-serve winning percentage of 67.4% last year was her worst since crossing the 60% barrier. A slightly less optimistic story comes from Simona Halep, whose 78th percentile mark in 2014 remains her career best. Coming from such an abysmal starting point, it’s remarkable that Halep has improved as much as she has, but she remains firmly in the range of good-but-not-great in this dimension of her game.

Steady improvements

There’s no particular advantage to spreading out one’s gains over a half-decade, like Sakkari has. If she had been given the option of picking up eight percentage points in a single year, like Bertens did, she would’ve taken it.

Still, the fact that the Greek keeps marching upwards is what makes her ascent so fascinating to me. In the decade-plus of data available, no other woman has improved her first-serve win percentage for five years running. Only two players–Yulia Putintseva and Saisai Zheng–have enjoyed positive bumps for four consecutive seasons, and neither situation really compares. Zheng’s improvement took her from 53.2% in 2015 to 59.3% in 2019, and Putintseva rose from 57.9% in 2017 to 62.4% so far this year. While both are making the most of what they have, neither has fundamentally transformed the type of threat they bring on court the way that Sakkari has.

In search of a better comparison–any comparison–with this five-year streak of gains, I turned to the more extensive set of ATP match stats, which go back to 1991. In those three decades, I found exactly 10 players who improved in this department for five (or more) consecutive years. It’s a decidedly diverse group, with a few names you might recognize:

Player            Streak  Start %ile  End %ile  
Renzo Furlan           6           2        73  
Slava Dosedel          6           2        16  
Julien Benneteau       5          16        55  
Arnaud Clement         6          18        70  
Michael Chang          5          18        92  
Roger Federer          5          47        94  
Thomas Enqvist         5          58        94  
Boris Becker           6          79        99  
John Isner             7          82        98  
Marc Rosset            5          87        98 

The starting and ending percentiles indicate that this list includes players who began bad and ended a bit less bad, servebots who started great and eked even more out of their biggest weapon, and then a handful of Sakkari-esque figures who steadily went from considerably below average to far above it.

Michael Chang is the closest parallel of the group, even if we don’t have complete match stats for the first few years of his career. In 1991 he was one of the best returners in the game, but winning barely two thirds of his first serve points wasn’t enough to keep him in the top ten in an offense-dominated era. Five years later he was winning 77% of his first deliveries and ended the season at his peak ranking of #2. He couldn’t sustain the elite-level serving stats, but he did have a few more above-average years.

And then there’s Roger Federer. I’ll leave it to Sakkari fans to work out whether his presence on this list can tell us anything about her future.

Ave Maria

This is all just a long way of saying “wow!” There are other aspects of Sakkari’s game that she has improved, though none so consistently and dramatically. Once you start looking at year-to-year trends for individual stats, future projects start to multiply: identifying peak ages for different parts of the game, determining which stats are more or less likely to regress to the mean, finding which ones best predict ranking climbs, and so on.

We’ll get to some of those answers eventually. In the meantime, I’ll be watching Sakkari with new, better-informed eyes.

Expected Points, April 13: A Sad Day For French Women’s Tennis

Expected Points, my new short, daily podcast, highlights three numbers to illustrate stats, trends, and interesting trivia around the sport.

Up today: Alex De Minaur loses a clay court match, France drops another rung in the WTA power rankings, and women’s tennis returns to Cleveland after almost half a century.

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Expected Points, April 12: A New Russian #1 Spoils the Party in Charleston

Expected Points, my new short, daily podcast, highlights three numbers to illustrate stats, trends, and interesting trivia around the sport.

Up today: Local heroes nearly run the table at tour events, Veronika Kudermetova wins her first title, and the draw gods in Monte Carlo deliver a tasty first-rounder.

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Expected Points, April 9: Petra Kvitova Stumbles in Charleston

Expected Points, my new short, daily podcast, highlights three numbers to illustrate stats, trends, and interesting trivia around the sport.

Up today: Kvitova’s serve deserts her in a third-round loss to Danka Kovinic, Jaume Munar keeps winning on the sweet, sweet clay, and the Charleston event’s history goes back to an unprecedented prize purse nearly 50 years ago.

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Expected Points, April 8: Carlos Alcaraz Takes On His Elder

Expected Points, my new short, daily podcast, highlights three numbers to illustrate stats, trends, and interesting trivia around the sport.

Up today: Alcaraz wasn’t born yet when his opponent today first cracked the top 100, Sofia Kenin suffers another disappointing loss, and the Bogota draw leaves me feeling light-headed.

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Podcast Episode 104: The Present and Future of Jannik Sinner

Episode 104 of the Tennis Abstract Podcast, with Carl Bialik of the Thirty Love podcast, is our recap of the Miami Open, with a particular focus on the Italian teenager who reached the final there.

Jannik Sinner has a relatively weak first serve, but seems to do everything else right. We talk about how to balance what he is with what he could be, the importance of his evident emotional maturity, whether he’ll eventually win more first serve points, how well he’ll fare on clay this year, and just how much we can compare him with Rafael Nadal.

We also discuss the man who beat Sinner in the Miami final, Hubert Hurkacz. Is a 24-year-old without any obvious elite-level weapons still on the rise, or will the Masters 1000 title mark his career peak?

Thanks for listening!

(Note: this week’s episode is about 58 minutes long; in some browsers the audio player may display a different length. Sorry about that!)

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Podcast housekeeping:

  • The TAP book club will resume next week with Arthur Ashe’s memoir, Days of Grace. I’ve posted a few notes about Ashe and the book here. If you have thoughts or questions for us to consider, please let me know.
  • In case you haven’t heard, I’m 52 episodes into a short (~4 minute) daily podcast called Expected Points. Here’s today’s episode. I’m also doing a daily baseball podcast with the same format during the MLB season–check out The Opener.

Expected Points, April 7: Lara Arruabarrena, High-Altitude Clay Specialist

Expected Points, my new short, daily podcast, highlights three numbers to illustrate stats, trends, and interesting trivia around the sport.

Up today: Arruabarrena is off to a flyer in Bogota, Dan Evans is the unlikely top seed at a clay event, and Nuno Borges tries to bring his winning ways to the Challenger tour.

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Jannik Sinner’s Missing First Serve Points

In Sunday’s Miami Open final, Jannik Sinner posted some very odd stats in his straight-set loss to Hubert Hurkacz. He won a respectable 48.4% of his second serve points–three points behind the the ATP top 50’s average since the restart–but only 55.3% of his first serve points. First serve points are the bread and butter of the offensive game, and Sinner got only as much out of that as Casper Ruud derives from his second serve.

It’s not that Hurkacz has magical anti-first-serve powers, either–it was only the second time since the restart that he won more than 40% of first-serve return points. He barely won 30% against Denis Kudla in the Miami first round.

Sinner’s first serve is not typically so ineffectual, but that isn’t to say it’s particularly good. While the tour wins well over 70% of its first-serve points, the Italian won only 63.5% in the quarter-finals against Alexander Bublik (another man who would never be confused with Andre Agassi), and 64.6% in his semi-final match with Roberto Bautista Agut. In both of those contests, he held on to 57% of his second serves–an outstanding mark for a player’s weaker offering.

I keep returning to second-serve points won and the difference between firsts and seconds to emphasize that Sinner is doing a lot of things right. Winning so many second-serve points suggests that he understands the tactics that go into playing service points when the ball comes back. Yet he hardly reaps any extra benefits from landing his first serve.

If it looks like a clay-court specialist…

I calculated the difference between first-serve and second-serve points won–let’s call it WinDiff–for every men’s tour-level player-season between 2000 and 2021 with at least 15 completed matches. That gives us almost 2,500 data points. At one extreme is 2019 Sam Querrey, who won over 80% of his first serve points but only 47% of his seconds, for a WinDiff of 33.2 percentage points. At the other end is Juan Carlos Ferrero 2011 campaign, when he won 65.5% of his firsts and 57.0% of his seconds, for an 8.5-point WinDiff.

Querrey’s season was mediocre and Ferrero’s was pretty good, suggesting that there’s a sweet spot somewhere in the middle. Yet it’s possible to have outstanding seasons near either end of the spectrum. Last year, Alexander Zverev’s WinDiff was 32 (77%/45%), and he won 28 of 39 matches. And in 2008, a young Rafael Nadal had a WinDiff of 11.5 (71.9%/60.4%), which was good enough to give him his first year-end #1 ranking.

Finding Ferrero and Nadal in Sinner’s neighborhood starts to give us an idea of what kind of players have low WinDiffs. Out of 2,460 player-seasons, only 33 had smaller WinDiff’s than Sinner’s 11.4 percentage points for 2021 so far, and you might be able to identify a few common traits among the players who posted narrower gaps:

Yoshihito Nishioka, Juan Monaco, Filippo Volandri, Potito Starace, Flavio Cipolla, Albert Montanes, Pablo Cuevas, Diego Schwartzman, Damir Dzumhur

Clay courters, short guys, Italians… you get the idea. Ferrero and Nadal offer profitable career paths for Sinner, but I’m not sure that “be like Rafa” is practical advice for anyone, no matter how talented.

Room for improvement?

When I mentioned the extreme stat from Sunday’s final in my Expected Points podcast yesterday, I concluded on an optimistic note. Sinner is 19, he just reached a Masters final, he’ll continue to work on his first serve, and as we’ve seen, the rest of his game is already top-notch.

But does the data bear out such a rosy outlook? Are there players who have emerged from the purgatory of a low WinDiff to get more out of their first serves?

The average WinDiff of the top 50 since the restart is about 21.5 points. The bad news is that only a few low-WinDiff players eventually reach that level. The good news is that a disproportionately weak first serve is apparently correctable, or–at least–the stat is noisy enough that some players regress toward the mean.

Going back to my set of 2,460 player-seasons, the 5th percentile was a WinDiff of about 14 points. 71 different players had at least one season below that threshold, and 20 of those guys have played at least 10 full seasons since 2000. Drawing the line at a decade’s worth of play is some serious selection bias, but if Sinner doesn’t stick around for another 7.5 seasons of 15 or more matches, that’s probably a sign of something else gone very wrong.

The following table shows those 20 players. For each, I’ve shown their highest single-season WinDiff since 2000 and the average across their 21st-century career. Remember that tour average is a bit above 20 points, and Sinner’s 2021 so far sits at 11.4.

Player                 Seasons MaxWD  AvgWD  
Juan Martin Del Potro       10  24.8   21.2   
Pablo Cuevas                11  22.5   20.0   
Fernando Verdasco           17  23.0   20.0   
Albert Montanes             15  24.1   19.5   
Philipp Kohlschreiber       16  23.9   18.2   
Juan Ignacio Chela          13  22.1   17.7   
Tommy Robredo               15  21.1   17.6   
Jarkko Nieminen             14  21.4   17.4   
David Nalbandian            12  22.2   17.1   
Fabrice Santoro             10  21.0   17.1   
Nikolay Davydenko           14  20.3   17.0   
Dudi Sela                   10  21.9   16.4   
Albert Ramos                10  19.6   16.3   
David Ferrer                17  19.2   16.2   
Juan Carlos Ferrero         13  18.3   15.1   
Mikhail Kukushkin           10  18.0   14.9   
Rafael Nadal                18  17.5   14.8   
Olivier Rochus              12  17.8   14.7   
Filippo Volandri            10  16.2   13.2   
Juan Monaco                 13  15.9   12.7 

Juan Martin Del Potro offers the brightest path, if one can emulate the results without the injuries. His WinDiff as as 17-year-old tour newbie was roughly 13 points, but he quickly landed near tour average. Sinner isn’t nearly as tall, so a better comparison might be David Nalbandian, who didn’t win nearly as many first-serve points as his fellow Argentine, but held on to enough. It’s certainly easier to look at Sinner and imagine a Nalbandian-like future than it is a Monaco- or Volandri-like one.

Another reason for optimism is that Sinner himself has already posted a 21-point WinDiff season last year, and this year’s weirdness is in large part due to his improvement against second serves, not a drastic drop in first-serve effectiveness. Maintaining his 56.5% rate of winning second-serve points seems unlikely only because it is so good. If he can manage that, he can survive with a modest first delivery so long as it’s in his typical high-60s range instead of the mid-50s that proved his undoing against Hurkacz.

Finally, the clay-centricity of the list above might be reason to pause before pegging Sinner as an eventual #1. But it also suggests that the teenager is developing exactly the right kind of game to excel on dirt. For the next couple of months, Italian fans will have plenty to get excited about.

Expected Points, April 6: A Clash of Counterpunching Saras

Expected Points, my new short, daily podcast, highlights three numbers to illustrate stats, trends, and interesting trivia around the sport.

Up today: Errani and Sorribes Tormo play in Bogota, Sebastian Korda’s new career-best ranking underrates him, and Matteo Berrettini makes a rare appearance on the doubles court.

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Expected Points, April 5: Jannik Sinner’s Room For Improvement

Expected Points, my new short, daily podcast, highlights three numbers to illustrate stats, trends, and interesting trivia around the sport.

Up today: Sinner’s recent first serve numbers indicate untapped potential, Ashleigh Barty is finally facing top-ten opponents again, and Mate Pavic is your new ATP doubles #1.

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