Showing posts with label Stats. Show all posts
Showing posts with label Stats. Show all posts

Tuesday, 29 October 2013

The Other 10% Rule

Fast uphill running. Photo: Ian Sharman


Before I start, this isn't a post about how men or women are 'better' than each other. This is just a simple and high level look at stats and comparisons between the sexes. I've met women who are made of granite as well as men whose wills could slice through diamond. Pretty much anyone who undertakes an ultra is unusually strong-willed.

We already have age-grading that allows a degree of comparison between the sexes and ages. But it assumes that the records (especially age-group records) are equally as impressive for men and women, plus that the record is equivalent to the fastest non-masters runner. If either the men's or women's record is relatively more competitive then it skews the results of that sex. More on this in the conclusion.

What is the other 10% rule?

We've all heard about the 10% rule for increasing mileage week-on-week to avoid getting injured, but there's a more precise relationship I've noticed throughout watching the Olympics all my life. The two events that most captured my imagination, the 100m and the marathon, had a relationship between the best men's and best women's record times. Doing simple calcs in my head I could see it was about a 10% gap - women's times were around this much slower than men's times. It seemed to roughly apply across a lot of track and field events, so I thought I'd see how exact that figure is and what it says about ultras.

I've heard people state that at longer distances women have an advantage and I know that scientists predicted the female marathoners would catch the men's times within a short period of time. Unfortunately they based that off simple extrapolation from women's times improving faster than men's in the past when the women's field became more competitive, while the men's already were.

Is there an advantage for women in ultras? Are they more efficient and physically superior for these types of endurance events? Or perhaps they're mentally stronger, able to withstand more pain or are more determined? If so then we'd expect to see that showing through in results at the most competitive ultras and the fastest times by the best athletes.

The stats

Below are the world bests on any surface for various running distances and events for men and women. I've split these into four categories, with the first three being Olympic or at least fully professional and competitive distances - Sprints, Middle Distance and Long Distance. Then I've separated ultra distances below because these don't tend to have the same deep level of full-time pro athletes as the distances up to the marathon. The professional distances are where I'd expect to see enough competition to make the records be a good representation of the best athletes in the world ever at their respective events.

TABLE 1: Olympic/Professional Distances

Distance (All Surfaces) Men Women Percentage Difference Notes
100m 9.58 10.49 9.50% Women's record by Florence Griffith Joyner (USA) record has some doping questions, never proved
200m 19.19 21.34 11.20% Also a Flo Jo record yet relatively less impressive, doping or not 
400m 43.18 47.6 10.24% Women's record by Marita Koch (East Germany) during period of known doping by Eastern Bloc
Avg for sprints 10.31%
800m 01:40.910 01:53.280 9.50% Women's record by Jarmila Kratochvílová (Czechoslovakia) during period of known doping by Eastern Bloc
1500m 03:26.000 03:50.460 11.87%
1 mile 03:43.130 04:12.560 13.19%
Avg for middle distance 11.52%
5000m 12:37.350 14:11.150 12.39%
10000m 26:17.530 29:31.780 12.31%
Half 0:58:23 1:05:40 12.48%
Marathon 2:03:23 2:15:25 9.75% No woman other than Paula Radcliffe has broken 2:18, showing just how special her record is
Avg for long distance (pro) 11.73%

Source: IAAF 

What this shows is that it's rare for female world bests to be within 10% of the men's time. In fact, the two distances that made me think about this relationship are two of the toughest and most impressive female records. Both Flo Jo (100m) and Paula Radcliffe (marathon) have run records that have barely been approached - Paula's marathon time is a decade old and is so good it's almost a 3-minute gap to the next best female time, while the men's marathon record has numerous other runners within 1 minute, plus it's only 1 month old at the time of writing. Flo Jo's record is even older.

What seems most notable to me for these Olympic distances is that getting within 10% of the men's performance is the sign of a mind-blowing record. And that's for the most fiercely fought events in world running!

How does the 10% rule relate to ultras?

Already it can be seen that most women's professional distance records are more than 10% slower than men's records. So what about the increasingly competitive world of ultrarunning? I'd argue that the only ultra races that have a long history and truly deep fields on both the men's and women's sides are the South African road ultras - Comrades and Two Oceans.

TABLE 2: Ultra Distances

Distance (All Surfaces) Men Women Percentage Difference Notes
50k 2:43:38 3:08:39 15.29%
Two Oceans (34.8 miles) 3:03:44 3:30:36 14.62% The 50k records were the same runs as these records, as a 50k split
Comrades Down Run (55.5 miles) 5:20:49 5:54:43 10.57% Better representation of 50 mile comparisons as 50 mile distance wasn't raced at the top level by women outside of Comrades
100k (Ann Trason) 6:10:20 7:00:47 13.62% Second best female 100k time by Ann Trason (USA) - see below for reason
100 miles 11:28:03 13:47:41 20.29% Not raced by women at the same deeper competitive level as by men in 1980s-2000 when male record set
24 hrs (m) 303,506 254,425 19.29%
UTMB (trail) 20:34:57 22:37:56 9.96% Records set same year so weather not a differential
WS100 (trail) 14:46:44 16:47:19 13.60% Records set same year so weather not a differential
Avg for long distance (ultra/semi-pro) without Tomoe Abe 14.66%
Avg for long distance (ultra/semi-pro) with Tomoe Abe 13.72% More info about the Tomoe Abe record here
Other Results of Note:
50 miles 4:50:51 5:40:18 17.00% Top women ran much faster for 50 miles at Comrades, so that's a better comparison
100k 6:10:20 6:33:11 6.17% Record by Tomoe Abe (JPN) who was a professional marathoner
Sources: IAU, race websites

The 10% rule almost applies to Comrades, the larger, older and more competitive of these two races with a longer history - a 10.57% difference. But not so much for Two Oceans, despite the record holder for women being the same person as at Comrades, Frith van der Merwe.

It certainly doesn't hold up for most of the events in the table, possibly due to lower female participation but also because Yiannis Kouros spear-headed huge improvements in men's ultra road and track running. In fact, his dominance is so great that his 24-hour record is a half marathon ahead of his next closest challenger!

Most trail ultras are either too new or have fields that are only a few elite runners deep. So I included the two that have the longest and deepest history of competitiveness, especially since their records for men and women were set in the same editions (2012 for Western States 100 and 2013 for UTMB), removing differences in trail conditions, distances or weather. What stands out is that Rory Bosio's record at UTMB is a truly competitive record relative to a very impressive men's record.

The 10% rule doesn't seem to apply to ultras as much, probably due to it being a male-dominated sport with deeper men's fields to push the men's limits closer to a theoretical maximum than for the women. But women like Frith and Rory show that women's records at the top level can hit around 10% off the men's bests.

Women's records at some ultra races are indeed within 10% and sometimes women win outright, but I'd argue that those results reflect more on the lead women being closer to the best of the best than the lead men in those cases. That's why I've only included the most competitive races that are directly comparable. A separate question is whether women below the very top level race better than equivalent men, since women's finish rates are often higher than those of the their male counterparts. However, that's a different angle and is where I'd expect to see sensible tactics and a lack of testosterone-fueled over-exuberance giving women a relative edge on average...but not enough to overcome the physical attributes that lead to the 10% advantage at the upper limit of what's possible.

The one clear outlier is Tomoe Abe's 100k world best for women, which is so fast it's 27 minutes better than the next result and this is the only ultra result I can find from her. She was a professional road marathoner with a 2:26 PR, roughly equivalent to many of the fastest male 100k runners. So I've excluded her because she was a pro marathon runner while the top men weren't (making her closer to the female 'potential' than the men may have been to the male 'potential'). Her 100k time is around what would be expected from a male runner with an equivalent marathon time and very good aptitude for road ultras.

Predictions

Although the 10% rule doesn't hold up perfectly throughout, it looks like it roughly applies when both the men's and women's records are equally close to the best possible results a human can achieve. This doesn't seem to be the case in most truly top level ultra events yet, but if we use it as a benchmark, what kind of times might we see at ultra events by women as the fields get deeper and more astounding women push each other to their limits?

Note that the predictions below have an obvious caveat - the weather and conditions need to be equivalent to compare results year-on-year. So Timmy Olson's Western States 100 record was run in near perfect conditions for the course and no man or woman is likely to get an equivalent performance without equally good weather. If they manage it it tougher conditions, it's not equivalent - it's better.

TABLE 3: Predictions For Women's Times For Selected Fast Men's Global Records

Distance (All Surfaces) Men's Actual Record Women's Predicted Record Women's Actual Record Notes 
Two Oceans (34.8 miles) 3:03:44 3:22:06 3:30:36
Comrades Down Run (55.5 miles) 5:20:49 5:52:54 5:54:43
100 Miles 11:28:03 12:36:51 13:47:41
24 hrs (m) 303,506 275,915 254,425 That's 171.5 miles - 1 mile short of the US men's 24 hr record!
UTMB (trail) 20:34:57 22:38:27 22:37:56
WS100 (trail) 14:46:44 16:15:24 16:47:19
Rocky Raccoon 100 (trail) 12:44:33 14:01:00 14:57:18
Leadville 100 (trail) 15:42:59 17:17:17 18:06:24
Grand Slam (trail) 69:49:38 76:48:36 79:23:21
Hardrock 100 (trail) 23:23:30 25:43:51 27:18:24
Spartathlon 153 (road/trail) 20:25:00 22:27:30 27:02:17
Rim2Rim2Rim (Grand Canyon) 6:21:47 6:59:58 8:15:51
JFK50 (trail) 5:34:58 6:08:28 6:11:59
TNF100 Australia (trail) 9:16:12 10:11:49 11:01:08
Speedgoat 50k (trail) 5:08:07 5:38:56 6:17:02
Vertical K (trail) 0:30:26 0:33:29 0:36:48 Included this one for fun, despite not being an ultra as it's very competitive
Sources: IAU, race websites

Conclusion

I think the 10% rule stands up as a way of measuring potential. It only applies when the men's best times are truly at the top end of what's physically possible, but even allowing for that it can compare when women have out-done the men on a given course, allowing for differences in weather etc. Distance running women in that list include Paula Radcliffe, Frith van der Merwe, Tomoe Abe and Rory Bosio with several other women around that level.

So I'd argue that men have been 'virtually chicked' ('chicking' refers to a woman passing a man in a race) if a woman runs 10% slower than them...look out all those guys that thought they could beat Rory or Ellie Greenwood currently! This would also allow for a ranking at a race based on times adjusted for the sex of the runner.

Age gradings could also be altered to allow for when the record for one sex is relatively less impressive than that of the other sex by making the gap in theoretical fastest times be 10% (ie whichever record is relatively slower gets improved to retain the 10% gap). That is likely to apply when the female field is a lot smaller than the male field, but makes the amazing masters' records of people like Meghan Arbogast even more impressive.

Apologies if I offended anyone with this article, but I found it fascinating to look at the results and comparisons for all types of running. The data is as objective as I could make it, but I'm sure many would disagree with even the sentiment of what I was comparing.

Wednesday, 11 September 2013

Grand Slam Stats



Some facts and figures I found interesting from the Grand Slam of Ultrarunning, involving running the Western States 100, Vermont 100, Leadville Trail 100 and Wasatch Front 100 in the same summer.

Average age of finishers: 44.77
Official finishers prior to 2013: 266
Official finishers including 2013: 288

Number of those 288 who broke 100 hours in total: 54 (plus Nick Clark)
Number of women who broke 100 hours: 6 (including Krissy Moehl, Darcy Africa and Ann Trason...plus Abby McQueeney Penamonte in 2013)

Most finishes by one person: 8 (Dan Brendan - missed only two years from 2004 to 2013)
Most starters in one year: 36 (1998)
Most finishers in one year: 22 (plus Nick Clark for 23) (2013)
State or country with most finishers since 1986: California (51)

Total ascent according to run100s.com: 74,732ft
Total descent according to run100s.com: 78,861ft
Total ascent according to my Garmin: 74,116ft (including several hours of using a less accurate 305 model at Wasatch that tends to underestimate)

Most stats above taken from run100s.com, the rest from Strava/Garmin.

Tuesday, 20 November 2012

JFK Statfest And Comparing Different Ultra Finish Times


9 miles into the JFK 50 course on the AT


Having just got back from the 50th annual JFK50 (see a great history of the race here), it was an honor to be part of the event, especially with course records being destroyed (see results). It got me thinking about the comparability of race times between road and trail races, plus different distances.

On a training run the day before the race it's easy to bump into half the Montrail North American team and a whole bunch of Canadian speedsters.


For interest, here’s the JFK course profile which includes around 3,000ft of ascent and a little more descent. It has roads or canal path easy trails for all but 11 miles, of which there’s a really fun 10-mile section on the Appalachian Trail which is quick and generally not technical except for maybe 3-4 miles of rockiness. I may write up a report of the race, but there are a few of those around from others who had more interesting days out on the trail. In summary, I loved the AT and jogged through that then sped up on the canal path before getting slight stomach problems (rare for me) and couldn't get motoring so just kept up the best pace I could and mainly ran solo, finishing 4th in 5:50.



Predicting finish times from one ultra to another

One stat I’d heard at the Miwok 100k in California is that if you double your time from that race you get your Western States 100 mile finish time. Although broadly true there’s a lot of variation, plus that assumes having a good day at both races. It’s glaringly obvious that there’s a large degree of individual impact on how well, say, a marathon time translates to a flat ultra and even more so to a mountainous one. But JFK brought some of the fastest runners ever to a US trail 50-miler – Trent Briney ran a 2:12 marathon and has been the US alternate for the Olympic marathon (he got 2nd and broke the CR); Max King runs a 2:14 and took almost 6 mins off the record; Emily Harrison runs a 2:32 and smashed the women’s record, but not by as much as 2:42 marathoner Ellie Greenwood; plus there were a lot more guys with 2:2x marathons, not least David Riddle who came 3rd and held the record from last year.

Ultras like Comrades, UROC 100k, JFK 50 and American River 50 have plenty of fast road sections (or trails that are almost as quick) so they favor a fast marathoner who also trains for ultras. But there’s a lot more that comes into it too (as anyone reading this will certainly know). A quick comparison of some of the fastest ultra courses for people who’ve run them at the front shows road speed is fairly important, but more so the shorter the race. I’m biasing this towards courses I’ve personally done so I can legitimately compare them.

Comparison of PRs* for selected runners over multiple fast ultra courses:


Marathon (26.2)
JFK (50.2)
American River (50)
Comrades Down Run   (55.5)
UROC (60+** 2012 course)
100k Roads (62.2)
Rocky Raccoon (100)
Western States (100.2***)
Eric Clifton
?
5:46
6:23 (Age 40)
?
Not raced
?
13:16
22:13
Max King
2:14 
5:34
6:01 (Bad day)
Not raced
7:57
No 100k
No 100s
DNF (injured)
Trent Briney
2:12 (2004, but ran a 2:19 in 2011)
5:37
Not raced
Not raced
Not raced
Not raced
Not raced
Not raced
David Riddle
2:26
5:40
Not raced
Not raced
DNF (Bad day)
6:45
Not raced
16:42
Ian Sharman
2:32
5:50
6:00 (Bad day)
6:01
8:25
Not raced
12:44
15:54
Ann Trason
2:39
Not raced
6:09
5:58
Not raced
7:00
Not raced
17:37
Ellie Greenwood
2:42
6:12
6:18
6:08
9:04
7:29
Not raced
16:47
Emily Harrison
2:32
6:17
Not raced
Not raced
Not raced
Not raced
Not raced
Not raced
Lizzy Hawker
2:47 (2007)
Not raced
Not raced
6:48 (Up Run - slower course)
Not raced
7:29
Not raced
18:32 (Bad day)

*PRs are to the best of my knowledge, plus the help of Google
**UROC 100k 2012 had 10,000ft+ of ascent but it was largely on roads and hugely favored fast marathoners who could also run trails
***Western States 100 isn’t nearly as flat and fast as the other races but it’s the only 100 miler for some of the athletes to date

Before I get comments saying this isn’t a large enough sample or it’s not scientific enough, I’ll mention that there aren’t enough runners who’ve run around course records at several of these races to make direct comparisons plus weather conditions play a huge part, especially on trails. More runners could have been included but I’m doing this with a JFK 50 2012 slant and am trying to show the really pointy end of the field, (plus myself for comparison because it’s my blog and it gives me context).

Along the C&O Canal at JFK. Photo courtesy Ray Jackson Jr.


Also, I'll point out that a great site for comparing race finish time for the entire field from race to race is RealEndurance.com. You can get an idea of your potential finish time in a race based on what other people managed at a given event who run at your speed in races you've already done. 

What does that imply for 100 milers?

The other reason for looking at these stats is that I’m sure a lot of people are wondering what Max, Trent or Emily could run in a 100 miler. From experience the correlation between fast shorter distance times and 100s is a lot looser than between a marathon time and a race like JFK. Plus there’s a clear trade-off between how much time a runner can spend on road speed and on mountain endurance, although most would agree that these do complement to some degree. Kilian isn’t going to run a 2:10 marathon off pure mountain running and the Kenyans won’t run a 20 hour Hardrock 100 when their longest run is 2 hours and at a much higher intensity. Of that I’m certain, although it’ll never be tested (at the least they’d switch their training significantly if they went for the races at the opposite end of the spectrum to their usual).

To run an average pace of 9 min/miles at Western States means a lot more training at a slower speed than a marathoner would do. This is due to the law of specificity, meaning that your body adapts to the training stresses that are placed on it. If you want to run a fast marathon, a lot of marathon-pace or faster running is required. If you want to sail up and down mountains all day long, a large portion of training needs to simulate that.

When was the last time one of the really big, competitive 100 milers was won by a sub 2:30 marathoner? Doesn’t tend to happen at Western States (please comment if you know who the last person was to manage this was as it’s not any of the recent winners). UTMB is for pure mountain guys and many of the top runners haven’t even run a road marathon. Never mind Hardrock – a recent fast marathon time is almost (I’m exaggerating) a predictor of a bad run as it implies too much time spent on the roads and not enough in the mountains at altitude. It’s much more important to do a lot of vertical in training than to be able to run the flatter sections at a 5 min/mile.

In summary, I don’t think there’s a very strong relationship between mountain ultra success and a top end marathon time. I’m not going to dust off the old economist’s tools (my previous life) and search for a huge pile of data to find out which variables correlate to mountain ultra success. It’d cost $20k to get a bunch of economists to do that analysis so I’m going to go out on a limb and give you my non-scientific predictions of the key variables for a fast elite time (relative to a world class runner for that style of race) at a given mountain 100-miler:
  1. Results at really similar 100 mile races or with similar aspects to the race in question
  2. Turning up completely uninjured with a long injury-free period pre-race for consistency in training
  3. Location – living close to terrain that’s similar to the race for training
  4. Frequency of DNFs – the fewer, the better
  5. Motivations – this’d be a hard one to model and would need truly honest answers to a questionnaire but someone who turns up with the aim of enjoying things first and competing second rather than caring more about records and winning with second place being deemed a ‘failure’

And factors that I think are somewhat correlated:
  1. Past success at the race in question in the recent past, but this could also build the pressure too much to cause bad pacing
  2. 100k or 50 mile mountain results
  3. Marathon time
  4. Age – Marco Olmo is probably the last guy around retirement to win a really major race but the peak age range is fairly wide
  5. Rippling six-pack/big guns – shows the runner does more training than just running all day, which is more important in an ultra than in shorter races. You wouldn’t pick a fight with Kami Semick and she’ll probably beat you in the race too…


100 mile records

So what about a flat 100-miler on a hard surface? There really aren’t many that fit that description except on a track. Fast trail 100s like Rocky Raccoon 100 (5,400ft of ascent) or Umstead 100 (8,000ft of ascent) are still significantly slower than a flat road race of that distance. What do I think the runners listed above could run on a flat road/track 100? Well, the 100k on roads gives an indicator but only covers the ‘easy’ bit of the race.

The male World Record for 100 miles is 11:28 by Oleg Kharitanov, pretty much 3h marathon pace x4! I think Max and Trent have the pace to do that if they altered their training to include a lot more miles at a pace they’d think of as slow.

Ann Trason holds the female World Record of 13:47 which I think Ellie could run. Lizzie Hawker too.

But who’d want to run around a track all day? Well, I’ll answer that in a month after I give it a go at the Desert Solstice 24h race in Arizona.