Thank you for linking it. I guess we could indeed look at how much it influences the optimal team.
I think this should still be linked to popularity in a sense but it's a good starting point for sure.
Still that would have netted us this:
Optimal team score last year was 25734
Without...
- Sep Kuss: 25125 / 246 to 1263
- Ben Healy: 25156 / 167 to 1097
- Primoz Roglic: 25166 / 1240 to 2744
- Marc Hirschi: 25224 / 684 to 1833
- Romain Gregoire: 25365 / 108 to 784
- Felix Gall: 25396 / 238 to 967
- Ilan Van Wilder: 25430 / 232 to 933
- Filippo Ganna: 25477 / 574 to 1418
- Sören Waerenskjold: 25487 / 168 to 766
- Rui Costa: 25508 / 236 to 855
My method would basically look at the profit of a rider and then increase/decrease it based on how much of a unique pick they were. You'll therefore see someone like Vingegaard perform very well there (massive profit for a massive price tag).
Results:
- Marc Hirschi: 118,70
- Jonas Vingegaard: 98,63 (unique pick) -> Note: Vingegaard is not on the best possible team so without him its score would stay 25734.
- Sepp Kuss: 95,60
- Ben Healy: 91,18
- Filippo Ganna: 81,02
- Mattias Skjelmose: 77,12
- Felix Gall: 72,90
- Primoz Roglic: 69,18
- Florian Vermeersch: 62,11
- Matteo Jorgenson: 58,70
Egan Bernal: 3,34
If they all became unique picks (=ranking them by profit):
- Primoz Roglic: 158,41
- Marc Hirschi: 122,30
- Sep Kuss: 103,73
- Jonas Vingegaard: 98,63
- Filippo Ganna: 86,09
- Mattias Skjelmose: 79,46
- Felix Gall: 74,36
- Ilan Van Wilder: 71,50
- Romain Gregoire: 68,95
- Florian Vermeersch: 65,99
Egan Bernal: 26,21
Rui Costa (wasn't picked): 76,40
So essentially Primoz Roglic went to 8th place because so many picked him.
I think to further complete this though there should be some accounting of how picking a rider will decrease its value for all other teams.
E.g. Imagine Roglic being picked by every team but years. His 'value' would then drop to just 1,5 but that really is his value for the
other teams that already have him. Your team would still be much better off by picking him rather than an imaginary unique Alaphilippe pick (489 -> 618; worth 13,16).
It might be sufficient to take in account how many points other teams would lose
if you also picked Roglic (102*1,5 = 153) which is
far better than that Alaphilippe pick.
Perhaps we would need to circle back and take a leaf out of Hugo Koblet's book instead. Then we would complete the formula with aforementioned score * the amount a rider was picked. I don't propose looking at how close popularity is to the middle because the first value already was corrected based on popularity.
For 2023 this would lead to:
- Primoz Roglic: 69,18 * 57 = 3943,49
- Romain Gregoire: 29,07 * 60 = 1744,08
- Ilan Van Wilder: 48,37 * 34 = 1644,55
- Joshua Tarling: 30,74 * 45 = 1383,30
- Lenny Martinez: 18,41 * 58 = 1067,49
- Jonathan Milan: 24,05 * 38 = 913,90
- Sepp Kuss: 95,60 * 9 = 860,38
- Cian Uijtdebroeks: 11,56 * 67 = 774,25
- Mathieu Van der Poel: 50,42 * 15 = 756,36
- Joao Almeida: 44,26 * 15 = 663,90
Biggest stinkers
- Andrea Piccolo: -33,62 * 22 = -739,53
- Peter Sagan: -17,39 * 29 = -504,31
- Biniam Girmay: -56,24 * 8 = -449,92
That seems like more of an overview of who the most important riders were across the board rather than what riders carried the hardest.
Ultimately though I'm going to concede that this is indeed likely too complex to put into some simple equation. We'd at least need to more clearly define what
important means exactly.
Edit: The idea regarding seeing how much value other teams lose is really only applicable when it concerns a situation where literally every team would have a certain pick. In other situations a pick in e.g. 55/104 teams is equal to said pick being in 56/105 teams.
As a final note. We could also turn the formula around so that it looks at how many teams have a rider rather than how many teams do not (this is actually just equal to PROFIT * POPULARITY but I just split it in 1000 to get lower numbers).
This would lead to:
- Primoz Roglic: 85,73
- Romain Gregoire: 40,56
- Kasper Asgreen: 24,44
- Joshua Tarling: 23,85
- Ilan Van Wilder: 23,83
- Lenny Martinez: 23,72
- Egan Bernal: 23,13
- Thomas Pidcock: 22,19
- Cian Uijtdebroeks: 21,51
- Sören Waerenskjold: 14,06
So to conclude, we can try to calculate how much of an impact riders had by looking at how many 'unique points' they (didn't) score when compared to other teams. Using that approach you would get members of the Basque Street Boys scoring high/low.
We can also try to calculate a pick's impact on the game as a whole by taking into account all teams they were part of and how much profit/loss they generated for those.
I'd think we'd need a way to combine both approaches.