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Les Woodland's book Tour de France: The Inside Story - Making the World's Greatest Bicycle Race is available in print, Kindle eBook and audiobook versions. To get your copy, just click on the Amazon link on the right.
Roger Koeijvoets was kind enough to share his method of ranking Tour de France wins with BikeRaceInfo readers:
Last year (2020), I wondered how Tadej Pogačar’s Tour de France win would compare to winners of the past, like Froome, Thomas, Bernal, or the giants Coppi, Anquetil, Merckx, Indurain and even Armstrong. I ran into a ranking method described by Dutch writer, chess player and cycling amateur Tim Krabbé in his book ‘43 wielerverhalen’ (‘43 Cycling Stories’) and its successor ‘De veertiende etappe’ (‘The Fourteenth Stage’), by which he classified all post war winners.
I would like to compensate for the fact that the multiplication and divisions in the formula amplify the differences. In Krabbé’s ranking Hinault 1979 is first and Froome 2017 is last. Hinault’s score is more than 50 times as high as Froome’s which is a bit unrealistic. So I took the geometrical mean of the new formula, i.e. taking the quadratic root. Besides, I standardized it to achieve an average score of 100%. Thus we get the following (post WWII) ranking.
Disqualified riders were left in, but their names are in italics.
A scene from Roger Koeijvoets' #1 Tour win: Bernard Hinault racing up the Galibier with Joop Zoetemelk on his wheel in the 1979 Tour de France, stage 17. Sirotti photo
More about this ranking and how it was achieved is below the ranking chart:
Rank | Year | Winner | Country | Score | L5 (mm:ss) |
#Stage Wins |
#Riders Arrived in Paris |
Time (hh:mm:ss) |
1 | 1979 | Bernard Hinault | France | 151,4% | 32:43 | 7 | 89 | 103:06:50 |
2 | 1969 | Eddy Merckx | Belgium | 141,4% | 33:04 | 6 | 86 | 116:06:02 |
3 | 1981 | Bernard Hinault | France | 137,6% | 20:26 | 5 | 121 | 96:19:38 |
4 | 2004 | Lance Armstrong | USA | 137,4% | 14:30 | 5 | 147 | 83:36:02 |
5 | 1973 | Luis Ocaña | Spain | 136,9% | 30:20 | 6 | 87 | 122:25:34 |
6 | 1970 | Eddy Merckx | Belgium | 136,7% | 19:54 | 8 | 100 | 119:31:49 |
7 | 1999 | Lance Armstrong | USA | 128,5% | 15:11 | 4 | 141 | 91:32:16 |
8 | 2001 | Lance Armstrong | USA | 127,2% | 13:28 | 4 | 144 | 86:17:28 |
9 | 1984 | Laurent Fignon | France | 126,5% | 16:35 | 5 | 124 | 112:03:40 |
10 | 1952 | Fausto Coppi | Italy | 126,4% | 35:36 | 5 | 78 | 151:57:20 |
11 | 1972 | Eddy Merckx | Belgium | 126,2% | 19:09 | 6 | 88 | 108:17:18 |
12 | 2014 | Vincenzo Nibali | Italy | 124,7% | 11:24 | 4 | 164 | 89:59:06 |
13 | 1971 | Eddy Merckx | Belgium | 124,1% | 21:00 | 4 | 94 | 96:45:14 |
14 | 2002 | Lance Armstrong | USA | 123,5% | 13:54 | 3 | 153 | 85:05:12 |
15 | 1974 | Eddy Merckx | Belgium | 121,2% | 11:24 | 8 | 105 | 116:16:58 |
16 | 1948 | Gino Bartali | Italy | 120,8% | 37:53 | 7 | 44 | 145:36:56 |
17 | 1951 | Hugo Koblet | Switzerland | 120,8% | 32:53 | 5 | 66 | 142:20:14 |
18 | 1997 | Jan Ullrich | Germany | 118,7% | 20:32 | 2 | 139 | 100:30:35 |
19 | 1982 | Bernard Hinault | France | 118,0% | 12:16 | 4 | 125 | 92:08:46 |
20 | 1992 | Miguel Indurain | Spain | 115,1% | 14:37 | 3 | 130 | 100:49:30 |
21 | 1993 | Miguel Indurain | Spain | 112,9% | 16:26 | 2 | 136 | 95:57:09 |
22 | 2021 | Tadej Pogačar | Slovenia | 112,8% | 10:13 | 3 | 141 | 82:56:36 |
23 | 1954 | Louison Bobet | France | 109,8% | 31:38 | 3 | 69 | 140:06:05 |
24 | 1989 | Greg Lemond | USA | 109,1% | 9:39 | 3 | 138 | 87:38:35 |
25 | 2013 | Chris Froome | UK | 108,7% | 7:27 | 3 | 169 | 83:56:40 |
26 | 1986 | Greg Lemond | USA | 108,1% | 24:36 | 1 | 132 | 110:35:19 |
27 | 1998 | Marco Pantani | Italy | 108,0% | 11:26 | 2 | 158 | 92:49:46 |
28 | 2012 | Bradley Wiggins | UK | 107,8% | 11:04 | 2 | 153 | 87:34:47 |
29 | 1949 | Fausto Coppi | Italy | 107,5% | 38:59 | 3 | 55 | 149:40:49 |
30 | 1988 | Pedro Delgado | Spain | 104,0% | 14:04 | 1 | 151 | 84:27:53 |
31 | 1963 | Jacques Anquetil | France | 104,0% | 15:00 | 4 | 76 | 113:30:05 |
32 | 1950 | Ferdi Kübler | Switzerland | 102,9% | 34:21 | 3 | 51 | 145:36:56 |
33 | 1991 | Miguel Indurain | Spain | 102,7% | 10:10 | 2 | 158 | 101:01:20 |
34 | 1958 | Charly Gaul | Luxemburg | 101,3% | 13:33 | 4 | 78 | 116:59:05 |
35 | 1975 | Bernard Thévenet | France | 100,5% | 19:29 | 2 | 86 | 114:35:31 |
36 | 1995 | Miguel Indurain | Spain | 100,0% | 11:34 | 2 | 115 | 92:44:59 |
37 | 1965 | Felice Gimondi | Italy | 99,8% | 12:56 | 3 | 96 | 116:42:06 |
38 | 1957 | Jacques Anquetil | France | 99,3% | 20:17 | 4 | 56 | 135:44:42 |
39 | 2020 | Tadej Pogačar | Slovenia | 98,8% | 6:07 | 3 | 146 | 87:20:05 |
40 | 2005 | Lance Armstrong | USA | 98,0% | 11:01 | 1 | 155 | 86:15:02 |
41 | 2015 | Chris Froome | UK | 96,3% | 9:48 | 1 | 160 | 84:46:14 |
42 | 1978 | Bernard Hinault | France | 96,3% | 12:50 | 3 | 78 | 108:18:02 |
43 | 1980 | Joop Zoetemelk | Netherlands | 96,0% | 15:37 | 2 | 85 | 109:19:14 |
44 | 1962 | Jacques Anquetil | France | 94,8% | 14:04 | 2 | 94 | 114:31:54 |
45 | 1964 | Jacques Anquetil | France | 94,1% | 10:34 | 4 | 81 | 127:09:44 |
46 | 2009 | Alberto Contador | Spain | 93,7% | 6:04 | 2 | 156 | 85:48:35 |
47 | 2000 | Lance Armstrong | USA | 93,3% | 11:50 | 1 | 127 | 92:33:08 |
48 | 2018 | Geraint Thomas | UK | 92,9% | 6:08 | 2 | 145 | 83:17:13 |
49 | 1953 | Louison Bobet | France | 92,8% | 18:05 | 2 | 76 | 129:23:25 |
50 | 2016 | Chris Froome | UK | 92,1% | 5:17 | 2 | 174 | 89:04:48 |
51 | 1985 | Bernard Hinault | France | 91,0% | 7:44 | 2 | 144 | 113:24:23 |
52 | 1996 | Bjarne Riis | Denmark | 90,4% | 7:07 | 2 | 129 | 95:57:16 |
53 | 1961 | Jacques Anquetil | France | 90,3% | 16:09 | 2 | 72 | 122:01:33 |
54 | 2007 | Alberto Contador | Spain | 87,9% | 8:17 | 1 | 141 | 91:00:26 |
55 | 2003 | Lance Armstrong | USA | 86,5% | 6:51 | 1 | 147 | 83:41:12 |
56 | 1994 | Miguel Indurain | Spain | 85,5% | 10:10 | 1 | 117 | 103:38:38 |
57 | 1987 | Stephen Roche | Ireland | 84,9% | 9:32 | 1 | 135 | 115:27:42 |
58 | 1947 | Jean Robic | France | 84,6% | 15:23 | 3 | 53 | 148:11:25 |
59 | 1955 | Louison Bobet | France | 83,7% | 13:18 | 2 | 69 | 130:29:26 |
60 | 1976 | Lucien Van Impe | Belgium | 81,5% | 12:39 | 1 | 87 | 116:22:23 |
61 | 1977 | Bernard Thévenet | France | 79,4% | 12:24 | 2 | 53 | 115:38:30 |
62 | 2006 | Floyd Landis | USA | 78,0% | 5:08 | 1 | 139 | 89:40:27 |
63 | 2011 | Cadel Evans | Australia | 77,3% | 3:57 | 1 | 167 | 86:12:22 |
64 | 1983 | Laurent Fignon | France | 74,5% | 7:53 | 1 | 88 | 105:07:52 |
65 | 2010 | Alberto Contador | Spain | 73,8% | 6:54 | 0 | 170 | 91:58:48 |
66 | 1967 | Roger Pingeon | France | 73,6% | 9:47 | 1 | 88 | 136:53:50 |
67 | 2008 | Carlos Sastre | Spain | 69,8% | 3:05 | 1 | 145 | 87:52:52 |
68 | 1960 | Gastone Nencini | Italy | 68,6% | 13:12 | 0 | 81 | 112:08:42 |
69 | 1959 | Federico Bahamontes | Spain | 67,3% | 8:22 | 1 | 65 | 123:46:45 |
70 | 1990 | Greg Lemond | USA | 66,9% | 5:00 | 0 | 156 | 90:43:20 |
71 | 2019 | Egan Bernal | Colombia | 64,9% | 4:05 | 0 | 155 | 82:57:00 |
72 | 1956 | Roger Walkowiak | France | 64,4% | 10:25 | 0 | 88 | 124:01:16 |
73 | 2017 | Chris Froome | UK | 61,0% | 3:05 | 0 | 167 | 86:20:55 |
74 | 1968 | Jan Janssen | Netherlands | 58,2% | 3:29 | 2 | 63 | 133:49:42 |
75 | 1966 | Lucien Aimar | France | 54,5% | 5:27 | 0 | 82 | 117:34:21 |
Hinault 1979 is the clear winner, although intuitively I would have placed my bets on Merckx 1969, who comes in second. From a statistical point of view, however, Hinault is superior, his achievements are similar to Merckx’, but achieved in far less time, therefore his lead is deserved.
This is no different from Krabbé’s list. But as we move on we can see that Krabbé’s top 11 still has not changed since 1981, whilst my new method has 4 new entries: 3 times Lance Armstrong and 1 time Laurent Fignon. The best entry from the last 10 years is Vincenzo Nibali (2014). We can find him on the 12th spot.
This year, Pogačar’s win was more convincing than last year’s. This has resulted in a 22nd place (39th last year), right between Indurain 1993 and Bobet 1954.
Of course, this entire ranking system is open for dispute, as Krabbé already admitted. One might argue that other parameters should be included. E.g other jerseys (Pogačar won 3 of the 4 available ones), or team strengths (the weaker the team, the better the individual achievement). It would be very interesting to see how others would go about it. So feel free to give it a try! However, I totally agree with Krabbé’s opinion that any ranking method should pass the gut feeling test.
How the ranking was achieved:
From this (Krabbé's) story (1982) we can read as follows (the translation is mine):
“The first criterion was of course the lead. I didn't take the lead over number 2, which is often the result of calculation, but the lead over number 5 – in this number, L5, the lead is distributed more normally. As a second criterion I included the Tour winner's grit or superiority. How would I express that better than in the number of stage wins achieved, denoted by S?
“To temper the chance factor that this entails, I added 1 to it; as a result, the final product for Tours whose winner did not win a single stage (Walkowiak, Nencini, Aimar) would also not be 0.
“Then a correction was needed for the leveling that has taken place over the years. It is known: the faster the Tour is ridden, the easier it is for the riders. But also: the more difficult for the stars to excel. (And, conversely, the harder the easier.) Well, the Tours used to be much more difficult due to worse roads, longer stages, more difficult regulations (until 1955 the rider had to change a flat tire himself). I express the heaviness of the Tour in the average speed of the winner, ASW. The higher ASW, the more valuable a win, so that figure can just be multiplied.
“Finally, a correction had to be made for the differences from Tour to Tour; courses, weather conditions, distance. I expressed that in the percentage of the started riders that made it to Paris, PP. The same paradox applied to this figure as to ASW, so PP was also directly included in the denominator. (Krabbe is wrong here, he means 'numerator', there is no denominator in the whole formula, RK).
“Overall, my merit formula for Tour wins was: L5 x (S+1) x ASW x PP.”
Next comes the list, which he updated and put online in 2001. In 2014 he published the list again. He noticed the top 11 had not changed and many recent winners were ranked low. Krabbé:
“That seems to indicate that I counted stage wins too strongly. And those are more and more difficult to achieve by the larger pelotons. In the early eighties there were about one hundred and fifty departures; in recent years there have been almost two hundred. I could adjust my formula – but then I would take it too seriously.”
So Krabbé decided to leave it that way. I didn’t. Last year I published a new list, that I updated after this year’s Tour. They’re in Dutch, which is the reason for this new blog post.
A few corrections to Krabbé’s approach seemed necessary, to compensate for the developments Krabbé already mentioned. According to me, however, there is no reason to change the lead (V5) or the number of stage wins (S+1). At the same time the Tours have become much shorter over the years and were completed in much less time. By not including the distance but the time spent on the bike (T), we implicitly use the speed (ASW) that Krabbé already used, but also the fact that Tours have become ever shorter. Coppi used almost 152 hours for his Tour win in 1952, while Pogačar did it in less than 83 hours this year. He, therefore, had much less time to build up a lead. I put it in the denominator: the less, the better.
In addition, Krabbé uses the percentage of riders who arrived in Paris, but he also acknowledges in his postscript that the number of participants has increased significantly over the years. Combining these two data, I don’t use the percentage but the number of riders who have arrived in Paris (AP). Then you get the formula V5 x (E+1) * AP / T.