Calculating The Time Cut

Saturday, 19 July 2014


There’s a time cut for every stage of the Tour de France. A rider finishing outside of the time limit is out of the race. Another of the Tour de France’s Frequently Asked Questions is how are the time cuts calculated. Here’s the explainer and the numbers for this year’s Tour.

Why?
The time cut ensures no rider can coast around the course all day long, taking it easy when they’re supposed to race. It ensures a homogeneous peloton of riders making similar efforts each day.

Moving target
The time cut varies and is based on a percentage of the winner’s time on the day. But it’s more complicated than that because the percentage varies according to the type of stage and then the speed on the day. The idea behind this is to have a small amount of time for a short and flat stage and a larger amount for a big day in the mountains.

Do the maths
First you have to check the “coefficient” of the stage. These are awarded to different stages to reflect their difficulty. Here is the table.

Once you have worked out the stage you need to know the winner’s time. You can of course wait for the winner to cross the line but you can also work out their average speed so far during the stage and forecast a probably arrival time. Once you have the winner’s time, real or forecast you then calculate their average speed for the day because you know the stage distance, ie the distance divided by the winning time.

Once you have this number and the coefficient then it’s time to use one of the tables below to work out what the percentage limit is.

Let’s imagine today’s stage from Grenoble to Risoul, Stage 14. As the table shows it’s a Coefficient 4. If the winner does the course in 5h08m then this works out at 34.5km/h. So the time cut is 12% of this. 5h08m is 308 minutes and 12% of this is 36m56s. So the time cut is 5h08m + 36m56s = 5h44m52s.

If anyone knows of a website tool where I could embed a function on here to calculate this it’d be a useful tool sometimes.

Any rider outside the time cut is eliminated. Here is a snippet from yesterday’s post-race bulletin:

Dossard 25 is Rider 25, aka Alexander Porsev of the Katusha team and he’s out of the Tour de France because he finished 34 seconds after the cut.

There are two exceptions to the rule or rather the rule includes two exceptions. Here’s the wording:

Finishing times may be adapted under exceptional situations and unforeseen acts of God (weather conditions, blocked roads, serious accident or incident, etc.) according to the assessment of the Stewards’ Committee, with the agreement of the race management. If the percentage of eliminated riders rises above 20% of starters in the stage, permitted finishing times may be increased upon the decision of the Stewards’ Committee, with the agreement of the race management. It is understood that the riders who finish within the new permitted times will qualify for following stages, without a precedent being set for the rest of the race.

Tiago Machado crashed on Stage 10 and finished outside the time limit along with team mate Andreas Schillinger. But he was in ambulance for 12 minutes after the crash and the commissaires decided to deduct this time and therefore he and Schillinger made the time cut, that’s an example of the “serious accident” component. It could also include a level crossing or some other event that blocks or slows the rider.

The second point is the safety in numbers element where the gruppetto might contain 20% of the field. The idea is that the race cannot afford to see the peloton reduced by a mountain stage. But this is subjective and only applied in rare cases.

Summary
Hopefully this explains the time cut and how it’s calculated. If you’re inclined you can create a spreadsheet where you have fields for the distance, winning time, stage coefficient and so on. Better still try doing the maths in your head. If you find it hard, spare a thought for the riders at the back of the race today who are doing the calculation several times a day all. Who said maths was easy?

QOSNO1 July 19, 2014 at 5:28 pm

I note you predicted the correct finish time. Chapeau.

maria July 19, 2014 at 7:59 pm

Now imagine doing that calculation in your head…while riding at 43+km/hr over mountains.

maria July 19, 2014 at 8:01 pm

embed a google spreadsheet with a formula in and protected rows.

channel_zero July 19, 2014 at 8:24 pm

A couple of questions:

-How many stage races a year use the “coefficients” method?
-Is a coefficients table publicly available for every WT stage race?
-Is the time-cut table publicly available for every WT stage race?

tourdeutah July 19, 2014 at 9:39 pm

Some races like the TdF do publish this info as well as the rules and prizes within their website. Many do not. I would suggest the UCI website, but that is still user unfriendly.

The Inner Ring July 20, 2014 at 10:34 am

They’re often tucked away and I didn’t know the Tour de France put them online in public. The Giro uses coefficients, they call them categories. Smaller stage races just say Stage X = Y cutoff etc.

Dan July 19, 2014 at 9:53 pm

Something like this?

http://cutoffcalculator.azurewebsites.net/cutoffcalculator.aspx

(I just whipped this up in the last 1/2 hour. If you like it, I’ll finish it).

Dave July 19, 2014 at 10:34 pm

Fame at last, Mike!!!

Mike de Garry July 20, 2014 at 9:35 am

Ahem … I had a double-page spread in Velo Magazine once ;-)

Dave July 20, 2014 at 11:34 pm

What…were you ‘Mr January’?!

Laurence July 20, 2014 at 4:57 am

It’s interesting that the short stages are more generous with the time allowances. I would have thought times are more likely to blow out on longer stages.

Also, what’s the definition of a “short stage”?

Fletch July 20, 2014 at 11:55 pm

On a mountain stage the grupetto will lose the majority of their time on the climbs when the leaders are really racing. If that is a short stage then the reasoning is that the leaders will go full gas up all the climbs, putting the same amount of time into the grupetto as they would on a long stage.

So the stragglers will be 30 mins back on a long stage with 2 big climbs but also 30 mins back on a short stage with 2 climbs. Therefore the percentage needs to be higher to stop people being elimiated.

splavid_datrick July 20, 2014 at 8:25 am

It’s a shame they don’t use the exemptions with a bit more heart sometimes, like when Taylor Phinney rode 4 hours on his own in last year’s Tirenno Adriatico and got ejected after finishing 1/2 an hour behind stage winner Sagan (yes, he does occasionally finish better than 2nd). Especially brutal since he was with a large group, but they all quit’ leaving him on his own. If the others had finished the stage, he probably would have been in a big enough group for them to be allowed to stay in the race. Having said that, it would open a can of worms, and I think the race organisers got it absolutely right when the whole of the USA was complaining about King getting kicked out after the time trial in last year’s TdF.

http://velonews.competitor.com/2013/03/news/phinney-rides-emotional-four-hour-solo-quest-at-tirreno_277623

splavid_datrick July 20, 2014 at 8:27 am

Please excuse the rogue apostrophe in my comment above. I cannot contain my humiliation.

Linkinito July 20, 2014 at 2:06 pm

Fun fact: since 2000, the entire peloton finished above the time cut in two occasions: in Pontarlier in 2001 (35 min 54 sec) and in Montélimar in 2006 (29 min 57 sec). Logically, they were all kept in the race.

Garuda32 July 21, 2014 at 6:40 pm

That is why I refuse to consider Pereiro as a TdF winner.

gabriele July 22, 2014 at 10:24 pm

?

garuda July 25, 2014 at 8:44 am

http://www.cyclingnews.com/races/tour-de-france-2006/stage-13/results
A fairly accurate account of the stage.

If you are thinking that Pereiro should win because he was clean, wellat this. The short of it is that when a reporter tells Pereiro that Landis say that he (Landis) saw him (Pereiro) doping, he replies with “in 2006?”. Not a “What?!”

matt w July 20, 2014 at 11:20 pm

Great insight again INRNG, I read years back that Chris Boardman in his TDF days was one of the ‘bus drivers’ relied upon to work out the pace to make the time cut in the grupetto. He comes across as a studious enough character!

Daniel July 22, 2014 at 10:03 pm

Don’t forget the autobus, where riders ESP sprinters all group together and climb the mountains as one unit. They just care about riding and chatting together. Since they are a large group, if they are outside time cut the organizers will find it difficult to eliminate them from the race. This is one good way to combat the time cut!

Håvard July 23, 2014 at 2:05 pm

Is any rider in the current pro-peleton considered the leader in these gruppettos?

I read somewhere that both Erik Zabel and Eros Poli was earlier considered points of references in these situations due to their strong mathskills, though I guess nowadays these things are decided from the teamcars of the sprintteams?

The Inner Ring July 23, 2014 at 2:06 pm

Eisel, Renshaw, Soupe among others.

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