The Ōta Index

This index brings us the best performers on ATP rankings in the XXI Century - or precisely since the great standardisation of the year 2000.

Following basic economic axioms (the ones allowing currencies to be exchanged and GDP to be measured) and internationally accepted principles of laws (governing international and domestic legal systems), it is perfectly possible to accurately determine a few relevant factual aspects of Tennis:

- The best players in the Century
- The best/worst #1
- The best/worst #2
- The best/worst #3
- The best/worst #10
- The most Competitive Seasons (narrowest points margin from a #1)
- The most Dominant Seasons (wisest points margin from a #1)
- The most successful season (highest punctuation)
- The least successful season (lowest punctuation)
- Toughest Top10 Palyer (average points)
- Most successful Top10 Players (all points gathered)
- Most consistent Top10 Players (years as Top10)

Of course, Ōta Index is an exclusively rankings oriented method, so all aspects of the game are resumed to their rankings performance, regardless of titles or rivalries related achievements. It is entirely based on ATP data, thus no space for opinions or subjective intakes.

Ranking points are converted to % in order to translate 2009 reform into a standard value. The only fully standardised tournaments since 1990 are the Big Titles (4 Slams, 1 Cup 9 Masters), which have been constant since (unlike the 1973 - 1989 period).

In order to maintain the Ranking order (Top10 placements) all points were proportionately parameterised according to Big Titles (BTs) - and not subjectively adjusted from tournament to tournament, which falls into a methodological mistake (could eventually alter YE#1s - YE#10s on critical path) despite commonly used by enthusiasts. Therefore the 100% would be equivalent to winning all BTs in a Season, which flanks the possibility of a 101% punctuation (all 14 BTs won + another tournament or + top-seed bonus points) - highly unlikely.

The rational behind it is that: ATP ranking system is comprehensive, which means it is completely self-sufficient, equally measurable, independent and official. Besides, its results are highly correlated to any plausible GOAT list ever made in this Century, which empirically gives us assurance about its accuracy on lower levels, like ATGs or simply professional players. Moreover, the best player on a season is conceded according to ATP rulebook determinants, that to say, ATP rankings do tell you who is/are the beast in the world, regardless of any expert or personal opinion.

Enjoy!
 
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41 270 DJOKOVIC
40 418 FEDERER
36 916 NADAL
22 477 MURRAY

16 182 RODDICK
15 702 HEWITT
14 272 AGASSI
13 197 FERRER
13 172 MEDVEDEV
12 390 ZVEREV
11 840 THIEM
11 824 DAVYDENKO
11 576 SAFIN
11 530 FERRERO
11 498 DELPOTRO
11 384 KUERTEN
10 925 WAWRINKA
10 906 BERDYCH
10 257 TSITSIPAS

9 342 NALBANDIAN
9 145 CORIA
8 878 NISHIKORI
8 800 HENMAN
8 579 MOYA
8 521 KAFELNIKOV
8 369 TSONGA
7 928 CILIC
7 531 SAMPRAS
7 089 RAONIC
6 611 LJUBICIC
6 554 RUBLEV
6 410 SHUETTLER
6 357 SODERLING
6 263 GASQUET
6 223 GROSJEAN
6 220 NORMAN
6 088 BLAKE
6 070 BERRETINI
5 855 ROBREDO
5 749 ANCIC
5 614 GAUDIO
5 570 RAFTER
5 150 DIMITROV

4 950 CORRETJA
4 710 ANDERSON
4 670 NOVAK
4 624 VERDASCO
4 570 HAAS
4 420 ENQVIST
4 352 MONFILS
4 160 RUUD
4 140 COSTA
4 030 GONZALES
3 960 SIMON
3 949 TIPSAREVIC
3 775 GOFFIN
3 455 SCHWARTZMAN
3 350 SINNER
3 230 PHILIPPOUSIS
3 165 SOCK
3 155 ISNER
2 965 FISH
2 920 YOUZHNY
2 615 BUSTA
2 540 AGUT
2 380 ALMAGRO
 
ŌTA INDEX:

1 DJOKOVIC 41 270
2 FEDERER 40 418
3 NADAL 36 916
4 MURRAY 22 477
5 RODDICK 16 182
6 HEWITT 15 702
7 AGASSI 14 272
8 FERRER 13 197
9 MEDVEDEV 13 172
10 ZVEREV 12 390

11 THIEM 11 840
12 DAVYDENKO 11 824
13 SAFIN 11 576
14 FERRERO 11 530
15 DELPOTRO 11 498
16 KUERTEN 11 384
17 WAWRINKA 10 925
18 BERDYCH 10 906
19 TSITSIPAS 10 257
20 NALBANDIAN 9 342

21 CORIA 9 145
22 NISHIKORI 8 878
23 HENMAN 8 800
24 MOYA 8 579
25 KAFELNIKOV 8 521
26 TSONGA 8 369
27 CILIC 7 928
28 SAMPRAS 7 531
29 RAONIC 7 089
30 LJUBICIC 6 611

31 RUBLEV 6 554
32 SHUETTLER 6 410
33 SODERLING 6 357
34 GASQUET 6 263
35 GROSJEAN 6 223
36 NORMAN 6 220
37 BLAKE 6 088
38 BERRETINI 6 070
39 ROBREDO 5 855
40 ANCIC 5 749

41 GAUDIO 5 614
42 RAFTER 5 570
43 DIMITROV 5 150
44 CORRETJA 4 950
45 ANDERSON 4 710
46 NOVAK 4 670
47 VERDASCO 4 624
48 HAAS 4 570
49 ENQVIST 4 420
50 MONFILS 4 352

51 RUUD 4 160
52 COSTA 4 140
53 GONZALES 4 030
54 SIMON 3 960
55 TIPSAREVIC 3 949
56 GOFFIN 3 775
57 SCHWARTZMAN 3 455
58 SINNER 3 350
59 PHILIPPOUSIS 3 230
60 SOCK 3 165

61 ISNER 3 155
62 FISH 2 965
63 YOUZHNY 2 920
64 BUSTA 2 615
65 AGUT 2 540
66 ALMAGRO 2 380
 
Total points gathered as Top#10:

1 FEDERER 171 480
2 DJOKOVIC 154 420
3 NADAL 152 210
4 MURRAY 67 430
5 RODDICK 48 545
6 HEWITT 35 110
7 AGASSI 34 960
8 FERRER 34 915
9 BERDYCH 28 855
10 ZVEREV 27 705
11 THIEM 26 475
12 DAVYDENKO 26 440
13 DELPOTRO 25 710
14 WAWRINKA 24 430
15 MEDVEDEV 22 815
16 NALBANDIAN 20 890
17 TSONGA 20 500
18 SAFIN 20 050
19 FERRERO 19 970
20 TSITSIPAS 17 765
21 NISHIKORI 17 755
22 HENMAN 17 600
23 KUERTEN 16 100
24 CILIC 15 855
25 CORIA 15 840
26 MOYA 14 860
27 GASQUET 12 525
28 KAFELNIKOV 12 050
29 SAMPRAS 10 650
30 BERRETINI 10 513
31 RAONIC 10 025
32 LJUBICIC 9 350
33 RUBLEV 9 269
34 SODERLING 8 990
35 GROSJEAN 8 800
36 BLAKE 8 610
37 ROBREDO 8 280
38 ANCIC 8 130
39 GAUDIO 7 940
40 VERDASCO 6 540
41 SHUETTLER 6 410
42 NORMAN 6 220
43 MONFILS 6 155
44 TIPSAREVIC 5 585
45 RAFTER 5 570
46 DIMITROV 5 150
47 CORRETJA 4 950
48 ANDERSON 4 710
49 NOVAK 4 670
50 HAAS 4 570
51 ENQVIST 4 420
52 RUUD 4 160
53 COSTA 4 140
54 GONZALES 4 030
55 SIMON 3 960
56 GOFFIN 3 775
57 SCHWARTZMAN 3 455
58 SINNER 3 350
59 PHILIPPOUSIS 3 230
60 SOCK 3 165
61 ISNER 3 155
62 FISH 2 965
63 YOUZHNY 2 920
64 BUSTA 2 615
65 AGUT 2 540
66 ALMAGRO 2 380
 
Average points obtained as Top#10:

1 DJOKOVIC 11 030
2 FEDERER 9 527
3 NADAL 8 954
4 KUERTEN 8 050
5 MEDVEDEV 7 605
6 MURRAY 7 492
7 HEWITT 7 022
8 SAFIN 6 683
9 FERRERO 6 657
10 SHUETTLER 6 410
11 NORMAN 6 220
12 KAFELNIKOV 6 025
13 TSITSIPAS 5 922
14 AGASSI 5 827
15 RAFTER 5 570
16 ZVEREV 5 541
17 RODDICK 5 394
18 SAMPRAS 5 325
19 THIEM 5 295
20 DAVYDENKO 5 288
21 CORIA 5 280
22 DIMITROV 5 150
23 DELPOTRO 5 142
24 RAONIC 5 013
25 FERRER 4 988
26 MOYA 4 953
27 CORRETJA 4 950
28 WAWRINKA 4 886
29 ANDERSON 4 710
30 LJUBICIC 4 675
31 NOVAK 4 670
32 RUBLEV 4 635
33 HAAS 4 570
34 SODERLING 4 495
35 NISHIKORI 4 439
36 ENQVIST 4 420
37 GROSJEAN 4 400
38 HENMAN 4 400
39 BLAKE 4 305
40 NALBANDIAN 4 178
41 RUUD 4 160
42 ROBREDO 4 140
43 COSTA 4 140
44 BERDYCH 4 122
45 ANCIC 4 065
46 GONZALES 4 030
47 GAUDIO 3 970
48 CILIC 3 964
49 SIMON 3 960
50 GOFFIN 3 775
51 BERRETINI 3 504
52 SCHWARTZMAN 3 455
53 TSONGA 3 417
54 SINNER 3 350
55 VERDASCO 3 270
56 PHILIPPOUSIS 3 230
57 SOCK 3 165
58 ISNER 3 155
59 GASQUET 3 131
60 MONFILS 3 078
61 FISH 2 965
62 YOUZHNY 2 920
63 TIPSAREVIC 2 793
64 BUSTA 2 615
65 AGUT 2 540
66 ALMAGRO 2 380
 
Number of Seasons as Top#10:

1 FEDERER 18
2 NADAL 17
3 DJOKOVIC 14
4 RODDICK 9
5 MURRAY 9
6 FERRER 7
7 BERDYCH 7
8 AGASSI 6
9 TSONGA 6
10 HEWITT 5
11 NALBANDIAN 5
12 DAVYDENKO 5
13 DELPOTRO 5
14 WAWRINKA 5
15 THIEM 5
16 ZVEREV 5
17 HENMAN 4
18 GASQUET 4
19 NISHIKORI 4
20 CILIC 4
21 MOYA 3
22 SAFIN 3
23 FERRERO 3
24 CORIA 3
25 MEDVEDEV 3
26 TSITSIPAS 3
27 BERRETINI 3
28 SAMPRAS 2
29 KAFELNIKOV 2
30 KUERTEN 2
31 GROSJEAN 2
32 GAUDIO 2
33 LJUBICIC 2
34 BLAKE 2
35 ROBREDO 2
36 ANCIC 2
37 SODERLING 2
38 VERDASCO 2
39 TIPSAREVIC 2
40 RAONIC 2
41 MONFILS 2
42 RUBLEV 2
43 ENQVIST 1
44 RAFTER 1
45 CORRETJA 1
46 NORMAN 1
47 HAAS 1
48 NOVAK 1
49 COSTA 1
50 SHUETTLER 1
51 PHILIPPOUSIS 1
52 GONZALES 1
53 SIMON 1
54 YOUZHNY 1
55 FISH 1
56 ALMAGRO 1
57 DIMITROV 1
58 GOFFIN 1
59 SOCK 1
60 BUSTA 1
61 ISNER 1
62 ANDERSON 1
63 AGUT 1
64 SCHWARTZMAN 1
65 RUUD 1
66 SINNER 1
 
Best Seasons:

1 2006 1 Roger Federer 90,5 % 8 370
2 2015 1 Novak Djokovic 89,6 % 16 585
3 2007 1 Roger Federer 77,6 % 7 180
4 2011 1 Novak Djokovic 73,7 % 13 630
5 2005 1 Roger Federer 72,7 % 6 725
6 2008 1 Rafael Nadal 72,2 % 6 675
7 2013 1 Rafael Nadal 70,4 % 13 030
8 2012 1 Novak Djokovic 69,8 % 12 920
9 2004 1 Roger Federer 68,5 % 6 335
10 2010 1 Rafael Nadal 67,3 % 12 450
11 2016 1 Andy Murray 67,1 % 12 410
12 2013 2 Novak Djokovic 66,3 % 12 260
13 2020 1 Novak Djokovic 65,0 % 12030
14 2016 2 Novak Djokovic 63,7 % 11 780
15 2021 1 Novak Djokovic 62,38 % 11540
16 2007 2 Rafael Nadal 62,0 % 5 735
17 2014 1 Novak Djokovic 61,6 % 11405
18 2017 1 Rafael Nadal 57,5 % 10 645
19 2008 2 Roger Federer 57,4 % 5 305
20 2008 3 Novak Djokovic 57,2 % 5 295
21 2009 1 Roger Federer 57,0 % 10 550
22 2012 2 Roger Federer 55,5 % 10 265
23 2019 1 Rafael Nadal 54,0 % 9 985
24 2014 2 Roger Federer 53,4 % 9875
25 2020 2 Rafael Nadal 53,2 % 9850
26 2017 2 Roger Federer 51,9 % 9 605
27 2011 2 Rafael Nadal 51,9 % 9 595
28 2005 2 Rafael Nadal 51,5 % 4 765
29 2009 2 Rafael Nadal 49,8 % 9 205
30 2019 2 Novak Djokovic 49,4 % 9 145
31 2010 2 Roger Federer 49,4 % 9 145
32 2020 3 Dominic Thiem 49,3 % 9125
33 2003 1 Andy Roddick 49,0 % 4 535
34 2018 1 Novak Djokovic 48,9 % 9 045
35 2002 1 Lleyton Hewitt 48,5 % 4 485
36 2015 2 Andy Murray 48,4 % 8 945
37 2007 3 Novak Djokovic 48,3 % 4 470
38 2006 2 Rafael Nadal 48,3 % 4 470
39 2003 2 Roger Federer 47,3 % 4 375
40 2001 1 Lleyton Hewitt 47,2 % 4 365
41 2021 2 Daniil Medvedev 46,70 % 8640
42 2020 4 Daniil Medvedev 45,8 % 8470
43 2003 3 Juan Carlos Ferrero 45,5 % 4 205
44 2000 1 Gustavo Kuerten 45,4 % 4 195
45 2009 3 Novak Djokovic 44,9 % 8 310
46 2015 3 Roger Federer 44,7 % 8 265
47 2000 2 Marat Safin 44,5 % 4 120
48 2011 3 Roger Federer 44,2 % 8 170
49 2012 3 Andy Murray 43,2 % 8 000
50 2021 3 Alexander Zverev 42,38 % 7840
 
Best Seasons of each # on Top10:

2006 1 Roger Federer 90,5 % 8 370
2013 2 Novak Djokovic 66,3 % 12 260
2008 3 Novak Djokovic 57,2 % 5 295
2020 4 Daniil Medvedev 45,8 % 8470
2009 5 Juan Martin Del Potro 36,7 % 6 785
2003 6 Rainer Schuettler 34,6 % 3 205
2001 7 Patrick Rafter 30,1 % 2 785
2000 8 Alex Corretja 26,8 % 2 475
2000 9 Thomas Enqvist 23,9 % 2 210
2014 10 David Ferrer 22,4 % 4145


"Worst" (minimum punctuation) Seasons of each # on Top10:

2000 1 Gustavo Kuerten 45,4 % 4 195
2002 2 Andre Agassi 36,7 % 3 395
2017 3 Grigor Dimitrov 27,8 % 5 150
2017 4 Alexander Zverev 24,9 % 4 610
2017 5 Dominic Thiem 21,7 % 4 015
2016 6 Marin Cilic 19,7 % 3 650
2019 7 Alexander Zverev 18,1 % 3 345
2019 8 Matteo Berrettini 15,5 % 2 870
2019 9 Roberto Bautista Agut 13,7 % 2 540
2011 10 Nicolas Almagro 12,9 % 2 380
 
Most Dominant Seasons in terms of Ranking points (#1 margin):

2006 42,2 % Roger Federer Rafael Nadal
2015 41,3 % Novak Djokovic Andy Murray
2004 29,0 % Roger Federer Andy Roddick
2011 21,8 % Novak Djokovic Rafael Nadal
2005 21,2 % Roger Federer Rafael Nadal


Most Competitive Seasons in terms of Ranking points (#1 margin):

2000 0,8 % Gustavo Kuerten Marat Safin
2003 1,7 % Andy Roddick Roger Federer
2016 3,4 % Andy Murray Novak Djokovic
2013 4,2 % Rafael Nadal Novak Djokovic
2019 4,5 % Rafael Nadal Novak Djokovic


All Seasons in terms of Ranking points difference (#1 margin):

Season pts% #1 #2
2021 15,7 % Novak Djokovic Daniil Medvedev
2020 11,8 % Novak Djokovic Rafael Nadal
2019 4,5 % Rafael Nadal Novak Djokovic
2018 8,5 % Novak Djokovic Rafael Nadal
2017 5,6 % Rafael Nadal Roger Federer
2016 3,4 % Andy Murray Novak Djokovic
2015 41,3 % Novak Djokovic Andy Murray
2014 8,3 % Novak Djokovic Roger Federer
2013 4,2 % Rafael Nadal Novak Djokovic
2012 14,4 % Novak Djokovic Roger Federer
2011 21,8 % Novak Djokovic Rafael Nadal
2010 17,9 % Rafael Nadal Roger Federer
2009 7,3 % Roger Federer Rafael Nadal
2008 14,8 % Rafael Nadal Roger Federer
2007 15,6 % Roger Federer Rafael Nadal
2006 42,2 % Roger Federer Rafael Nadal
2005 21,2 % Roger Federer Rafael Nadal
2004 29,0 % Roger Federer Andy Roddick
2003 1,7 % Andy Roddick Roger Federer
2002 11,8 % Lleyton Hewitt Andre Agassi
2001 5,5 % Lleyton Hewitt Gustavo Kuerten
2000 0,8 % Gustavo Kuerten Marat Safin
 
All 22 Seasons since 2000 featuring all 67 Top10s, according to the number of Seasons they've spent in the Elite:

#1 Roger Federer 18
#2 Rafael Nadal 17
#3 Novak Djokovic 14
#4 Andy Murray 9
#4 Andy Roddick 9
#6 David Ferrer 7
#6 Tomas Berdych 7
#8 Andre Agassi 6
#8 Jo Wilfried Tsonga 6
#10 Alexander Zverev 5
#10 David Nalbandian 5
#10 Dominic Thiem 5
#10 Juan Martin Del Potro 5
#10 Lleyton Hewitt 5
#10 Nikolay Davydenko 5
#10 Stan Wawrinka 5
#17 Kei Nishikori 4
#17 Marin Cilic 4
#17 Richard Gasquet 4
#17 Tim Henman 4
#21 Carlos Moya 3
#21 Daniil Medvedev 3
#21 Guillermo Coria 3
#21 Juan Carlos Ferrero 3
#21 Marat Safin 3
#21 Matteo Berrettini 3
#21 Stefanos Tsitsipas 3
#28 Andrey Rublev 2
#28 Fernando Gonzalez 2
#28 Fernando Verdasco 2
#28 Gael Monfils 2
#28 Gaston Gaudio 2
#28 Gustavo Kuerten 2
#28 Ivan Ljubicic 2
#28 James Blake 2
#28 Janko Tipsarevic 2
#28 Milos Raonic 2
#28 Pete Sampras 2
#28 Robin Soderling 2
#28 Sebastien Grosjean 2
#28 Tommy Robredo 2
#28 Yevgeny Kafelnikov 2
#43 Albert Costa 1
#43 Alex Corretja 1
#43 Casper Ruud 1
#43 David Goffin 1
#43 Diego Sebastian Schwartzman 1
#43 Gilles Simon 1
#43 Grigor Dimitrov 1
#43 Hubert Hurkacz 1
#43 Jack Sock 1
#43 Jannik Sinner 1
#43 Jiri Novak 1
#43 John Isner 1
#43 Kevin Anderson 1
#43 Magnus Norman 1
#43 Mardy Fish 1
#43 Mario Ancic 1
#43 Mark Philippoussis 1
#43 Mikhail Youzhny 1
#43 Nicolas Almagro 1
#43 Pablo Carreno Busta 1
#43 Patrick Rafter 1
#43 Rainer Schuettler 1
#43 Roberto Bautista Agut 1
#43 Thomas Enqvist 1
#43 (#67) Tommy Haas 1
 

Aabye5

G.O.A.T.
Any system that ranks Davydenko, who never even reached a GS final above Safin, is about as accurate as Zverev's second serve during his yippy days.
 
Any system that ranks Davydenko, who never even reached a GS final above Safin, is about as accurate as Zverev's second serve during his yippy days.

They are actually at the same level though...

Anyway, injury records prevented Safin from a greater career. Marat had only 3 years as a Top10 player, while Nikolay had 5.

Hence Davydenko was able to amass 6,390 points more than Safin, which is virtually what Tsitsipas has obtained this year or the average points mark of Juan Carlos Ferrero's career.

However, in the few years Safin stayed in the Elite, he did much better than Davydenko (and we are only considering rankings here). His avg. was 6,683, peaking at almost 45% of TTP* (Total Theoretical Points), while Davydenko hardly ever reached 30%.

All-in-all, it's a hair-thin difference, statistically equivalent in Ota index parameters.

* TTP = All Big Titles (GS+ATPF+M1000) Won in a Season
 
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