I enjoyed Andrew's post, very well laid out and much appreciated for the balanced views on the data. I do disagree with some of the points, but as I said in my initial posts on this subject, nobody is PROVING doping. So the only section I would completely disagree with is the following:
acoggan said:
With these as your starting points, you come up with a value of 6.84 W/kg (I’ll leave it readers to check my math if they wish), which is still well over the limit of 6.0-6.2 W/kg that Dr. Tucker and others have argued is physiologically impossible.
Note that I have said that these performances are suspicious and flags for doping, not impossible. In fact, I went to great lengths to emphasize this in that article on THe Science of Sport (thank you for reading it, and the comments), but it seems that wasn't enough. So let me say again, no one - not Prof Schumacher, not me, not anyone - is saying that these calculations prove anything. They are intended to provoke discussion, and for Prof Schumacher, flag doping. On this note, we'll see what power outputs are produced in the Tour this year. I suspect, if it follows recent trends like the Giro, that all the main GC contenders will be slower than in the past, and that validates Prof Schumacher's approach, which I feel Andrew has taken completely out of context.
Now, depending on your paradigm of science, discussion is either off limits or it is not. I figure that the value of science is to seek data in applied areas and then create discussion around it. Andrew may differ, since he seems more insistent on proof before delivering an opinion. And this is fine, it's a difference in approach, nothing more.
The efficiency assumption
Other than this, the assumptions made by Andrew are fair, though debatable. Note that my assumption of efficiency is based on Coyle's (disputed!) value for Armstrong of 23.12%. Efficiency has the biggest impact on these calculations, so that error is likely important. On that note, the Lucia paper which found the inverse relationship between VO2max and efficiency, which Andrew finds bemusing in that people will use despite criticizing its values - one can still dispute the magnitude of the findings without disputing the pattern. And while Jeukendrup et al did argue efficiency should be much lower, the relationship between VO2max and efficiency is not affected by a systematic error in the VO2, for example.
The relative intensity assumption
The issue about maintaining 90% of VO2max is an interesting one. THe reference provided by Andrew is particularly interesting (
http://www.ncbi.nlm.nih.gov/pubmed/3403447), because that paper showed very clearly that some cyclists, who reached threshold at low intensity could only sustain 88% VO2max for 30 minutes. The cyclists who reached threshold at high intensity could do so for 60 minutes. Quite why the split in the two groups is so large, I'm not sure. What determined that 'gap'? Was it efficiency? Were they selected on this basis? Because the creation of two such different groups seems either by design or by accident of measurement (I can't get this paper right now).
Regardless,the problem with expressing values as a percentage of max is that you're always assuming that maximum is truly maximum, as Andrew alluded to for that subject G in the Coyle study. If this happens, then your relative intensity is 'anchored' against a false, low ceiling, and appears much higher. Therefore, the explanation for their being able to sustain 88% of VO2max is not that they can ride at high intensities, it's that their peak oxygen use is limited by some other factor that does not prevent other riders from achieving an even higher workload. It strikes me that efficiency may once again be in play here - the more efficient rider would presumably ride at this higher percentage - this is pretty well established as the reason why a runner with a lower VO2max often outperforms one who has a higher VO2max.
I bring this up not to discredit Andrew's argument, but because one has to acknowledge that there are explanations for every observation, not only from one direction. The argument will be that a Tour rider must lie on the extreme that allows the ability to sustain high relative intensity, of course. But is that person likely to have a VO2max of 90%? I don't know, there's not data, but again, this means you can neither accept nor dismiss either side. I do believe that an elite cyclist can ride at 88% of VO2max for an hour. But I would question the protocol that produces the VO2max as yet another source of error in both the 'defence' and the 'prosecution' in this particular argument. And, of course, the question is, can they do it on day 18 after 5 hours in the saddle? More on this below.
Power output
On another note, and I bring this up to emphasize the very point that these are not exact numbers (and I hope the implications are obvious to all) - Basset et al (
http://www.ncbi.nlm.nih.gov/pubmed/10589872) calculated that Obree produced 389W during his one hour record. That's 5.40 W/kg, not the 6.2W/kg suggested by Andrew. I suspect the difference is that the Bassett models looked more at aerodynamics, but the point is, there is a big difference between the estimations. This a) re-inforces why this isn't proof of anything, and b) that science doesn't know all it purports to (even the 'good' ones). The disagreement between "scientific models" is fundamental to this whole argument.
Boardman's power output calculated by Basset was 6.5W/kg, giving a VO2 of 80.2ml/kg/min and an inferred max of 90ml/kg. For a one hour performance when specifically trained for it. I have no problem with this. Question is, what do we expect of a differently trained, differently fatigued Tour rider? Of course, since no one has measured the impact of fatigue on the ability of a cyclist to sustain that intensity, one can either dismiss it and not even bother to try to say what happens (as Andrew has done) or look at it and say "If it is possible for an athlete to maintain 6.5W/kg for one hour when fresh, what is likely after 5 hours on the 18th day of a 3-week race?"
Your answer to that is likely determined by what you wish to believe, and also whether you believe Boardman to have been clean. Incidentally, these are the estimated power outputs in the one-hour records as modelled by Basset:
Name Mass Power W/kg VO2 Predicted VO2max (assume 90%)
Bracke 72 400 5.56 68.55 76.17
Ritter 69 376 5.45 67.23 74.70
Merckx 75 429 5.72 70.57 78.41
Moser 78 401 5.14 63.43 70.48
Moser 78 407 5.22 64.38 71.53
Moser 78 410 5.26 64.85 72.06
Obree 72 369 5.13 63.23 70.26
Boardman 68 409 6.01 74.21 82.46
Obree 72 389 5.40 66.66 74.07
Indurain 78 436 5.59 68.97 76.63
Rominger 62 427 6.89 84.97 94.41
Rominger 62 460 7.42 91.54 101.71
Boardman 68 442 6.50 80.20 89.11
Note that these power outputs are all normalized to sea-level values (since many of them happened at altitude where aerodynamic drag is lower) and also assume similar aerodynamic properties.
it's interesting then that only since the EPO era did power outputs rise above 6W/kg. Before that, the best cyclists in the world actually produced performances which Prof Schumacher and I have argued are entirely feasible. Since that, they're on the border, if not over it. And again, if this is a one hour attempt when fresh, what happens at 5 hours. And just by the way, we don't have to guess at this entirely. We know that a 26:20 10km runner can produce a 28:20 10km at the end of a marathon. Even if that marathon is slow, the ability to maintain the same relative intensity is compromised. So his 10km pace is reduced by about 8% after 90 minutes of running. 300 minutes of cycling? Some of which is over similar mountains, at 80 to 90% of VO2max? Is 90% VO2max possible? I know what I think.
Finally, to comment on "science should be better than that", as Andrew suggests. My take on this is that science is at its best when it inspires these kinds of debates. The whole fatigue issue is a case-in-point. Do we say that since fatigue effects have never been measured, they are not worth discussing? That's not good enough for me, and I would argue that "science should be better than that".
Science, at its very best (and I have a long way to go, I admit), creates this kind of discussion by having a sensible debate, not dismissing other arguments so bluntly. It hypothesizes and then provides theories that can be evaluated. And the fact that Andrew and I can provide power outputs for Obree of 6.2W/kg compared to 5.4W/kg is an indication that the answer is NOT KNOWN, despite his confidence in his facts. Therefore, if it is not known, then nobody as the right to dismiss an argument out of hand, or to insult people's quality. That is arrogant and ignorant. On the whole, I think the facts in Andrew's post were excellent, and contributed to a discussion that I greatly enjoy, and so thank you for taking the time to post them. But the attitude of dismissing people's science as inferior because their assumptions have "errors", well...
And then to say you're not surprised at someone's post "given the level of discussion on this forum" - I find that very unfair and unnecessarily nasty. Just because they don't have three letters behind their name and go by "Dr", doesn't mean they have nothing of value to say. And if someone criticizes a point unfairly, as may have been done in that case, address the criticism, don't go insulting the writer's character AND the intelligence of the entire forum.
Ross