The almost constant ratio of record speedsThe almost constant ratio of record speeds
forfor
women vs. men elite athleteswomen vs. men elite athletes
Ira Hammerman
Revava, Israel
June 6, 2010 ira@mailaps.org
A comparison over distances and multiple sports
1
Looking at performance of elite athletes toLooking at performance of elite athletes to
teach us something about human capabilitiesteach us something about human capabilities
2
• Looking at world record performance gives a view of human physiology,
since elite athletes approach closely the ultimate capabilities of a human
being.
• Comparing relative record performances of men and women can teach us
the relative ultimate physical capabilities of the two genders
• Studying the record performances over multiple sports and varied event
types, may teach us something universal.
• Use only record data from the recognized international sports authorities
and only data for which identical competitions exist for men and women
200200 m outdoor running records:m outdoor running records:
a comparisona comparison
Men: Usain Bolt
Berlin ,Aug 8, 2009: 19.19 sec
Women: Florence Griffith-Joyner
Seoul, Sep 29, 1988: 21.34 sec
0.899
21.34
19.19
SpeedMen
SpeedWomen
TimeWomen
TimeMen
Ratio 
3
What if GriffithWhat if Griffith--Joyner Ran in Bolt’sJoyner Ran in Bolt’s
RecordRecord 200200m in Berlinm in Berlin 20092009 ??
4
Running Speed vs. Distance:Running Speed vs. Distance:
6060 meters tometers to 11 kmkm
5
Running Speeds vs. DistanceRunning Speeds vs. Distance
loglog--log plotlog plot
Note: 3 orders
of magnitude!
Looks like
constant factor
difference
6
Time ratios forTime ratios for 3030 running categoriesrunning categories
7
Summary:Summary:
Running Women/Men Speed RatiosRunning Women/Men Speed Ratios
Indoors (60m to 3km; 9 distances) 0.90 ± 0.01
Outdoors (100m to Marathon; 21 distances) 0.89 ± 0.02
All Running (60m to Marathon; 30 categories) 0.89 ± 0.02
8
Scale down the men’s speeds byScale down the men’s speeds by 00..8989
Almost Match !
9
Let’s look at a completely different sport:Let’s look at a completely different sport:
KayakingKayaking
Kayaking competitions:
Distances:
200 m, 500 m, 1000 m
Number in Crew:
1, 2 or 4
K4 K1 10
Speed ratios forSpeed ratios for 99 kayaking categorieskayaking categories
Distance Number in
Crew
Men
Record
Time (s)
Women
Record
Time (s)
Ratio
200 m 1 33.98 38.97 0.872
200 m 2 31.57 36.32 0.869
200 m 4 29.023 33.778 0.859
500 m 1 95.63 107.343 0.891
500 m 2 86.873 97.987 0.887
500 m 4 79.65 90.765 0.878
1000 m 1 204.495 232.93 0.878
1000 m 2 189.19 214.935 0.880
1000 m 4 169.875 193.296 0.879
11
Summary:Summary:
Kayaking Men/Women Time RatiosKayaking Men/Women Time Ratios
All Kayaking (9 categories) 0.88 ± 0.01
12
Let’s look at a completely different sport:Let’s look at a completely different sport:
SwimmingSwimming
Courses: Long course (50 m pool), Short course (25 m pool)
Swim styles and distances:
Freestyle: 50, 100, 200, 400, 800, 1500 m
Backstroke: 50, 100, 200 m
Breaststroke: 50, 100, 200 m
Total 24 categories
13
Time ratios forTime ratios for 2424 swimming categoriesswimming categories
Note:
Women seem to do better
for longer swimming
distances
14
Summary:Summary:
Swimming Men/Women Time RatiosSwimming Men/Women Time Ratios
All Swimming (24 categories) 0.89 ± 0.02
15
A different sport:A different sport:
Track CyclingTrack Cycling
Events:
Only 3 events are same distances for men and women:
200 m (Flying Start) Ratio:Ratio: 00..8888
500 m (Flying Start) Ratio: 0.83
UTC Hour (Longest distance cycled within 1 hour)
Record Men: 49.4 km Record Women: 46.1 km, Ratio:Ratio: 00..9393
Speed
Endurance
16
Summary:Summary:
Track Cycling Women/Men Speed RatiosTrack Cycling Women/Men Speed Ratios
All Cycling (3 categories) 0.88 ± 0.04
17
A different sport:A different sport: RowingRowing
Rowing competitions have all the same distance: 2 km,
but differ in crew composition and rowing technique
Number in Crew:
1, 2 , 4 or 9 (8 plus coxswain, who steers and coordinates but doesn’t row)
Weight of Crew: normal or lightweight
Forms of rowing: sweep (rower has one oar, held in both hands)
sculling (rower has two oars, one in each hand)
Since competitions are in rivers or lakes, currents and winds influence
18
Rowing ExamplesRowing Examples
Pair (Sweep)
Coxed 8 (Sweep)
Single (Scull)
19
Time ratios forTime ratios for 1010 rowing categoriesrowing categories
20
Summary:Summary:
Rowing Men/Women Time RatiosRowing Men/Women Time Ratios
All Rowing (10 categories) 0.90 ± 0.01
21
Speed Skating on IceSpeed Skating on Ice::
The fastest human powered sportThe fastest human powered sport
Arm and leg powered
Improvements in skates and garments affect speed
Events common for men and women:
500m, 2 x 500m, 1000m, 1500m, 3000m, 5000m
From sprint to endurance
22
All Speed Skating (6 categories)
0.91 ± 0.01
Summary:Summary:
Speed Skating Men/Women Time RatiosSpeed Skating Men/Women Time Ratios
23
In skating:
women speed closer
to men’s than in
any other sport
Summary for all the sportsSummary for all the sports
Sport Number
Events
Average Men/ Women
Time Ratio
Running 30 0.89 ± 0.02
Kayaking 9 0.88 ± 0.02
Swimming 24 0.89 ± 0.02
Cycling 3 0.88 ± 0.04
Rowing 10 0.90 ± 0.01
Skating 6 0.91 ± 0.01
All Sports 82 0.89 ± 0.02
24
Summary for all the sports (Summary for all the sports (22))
25
Progression over years:Progression over years:
Example:Example: 200200m sprintm sprint
26
Ratio remains close to 0.90 for 55 years !!
Griffith-Joyner
Bolt
Where there is a good opportunity to improveWhere there is a good opportunity to improve
record: where deviation fromrecord: where deviation from 00..8989 is largis largee
 For an event with a low ratio (women/men record speed), e.g. 0.83 for
500m cycling, increased training could probably improve the women’s
speed.
 For an event with a high ratio (women/men record speed), e.g. 0.93 for
1-hour cycling, increased training could probably improve the men’s
speed.
27
What is the limiting speed factorWhat is the limiting speed factor
that gives a nearly constant speed ratio?that gives a nearly constant speed ratio?
28
If the effect is universal independent of details of
the sport, the factor must be SIMPLE and BASIC
HINTS at a possible explanation:
from hemoglobin concentration,
and maximum oxygen consumption
Hemoglobin concentrationHemoglobin concentration
29
Men: 13.6 to 17.5 g/dl
Women: 12.0 to 15.5 g/dl
Ratio (Women/Men): 0.88 to 0.89 !!
Source: Current Medical Diagnosis and Treatment, 2009, Lange
But what about
Sprints where
Oxygen supply
probably isn’t critical?
Maximum Oxygen ConsumptionMaximum Oxygen Consumption
VOVO22MaxMax (ml/kg/min)(ml/kg/min)
in long distance runners:in long distance runners:
30
Men: Women:
Runner VO2Max Runner VO2Max
Marius Bakken 87.4 Grete Waitz 73.5
David Bedford 85.0 Jarmilla Krotochvilova 72.8
Steve Prefontaine 84.4 Ingrid Kristiansen 71.2
Sebastian Coe 77.0 Rosa Mota 67.2
John Landy 76.6 Joan Benoit Samuelson 78.6
Average: 82.1 Average: 72.7
Source: http://fitness.testing.8m.com/vo2max-test.htm
http://www.runningforfitness.org/faq/vo2.php
Ratio = 72.7 / 82.1 = 0.89 !! Warning!
Small selection,
Testing procedure might
not be the same
Final Question:Final Question:
Why are there separate chess competitions for men and women?
31
ReferencesReferences
 “Causes of sexual dimorphism in performance traits: a comparative approach”,
R. Van Damme, et al., Evolutionary Ecology Research, 10: 229–250 (2008)
 “A theory of competitive running”, J.B. Keller, Physics Today, 26(9): 43-47 (1973)
 “Development of peak performance in track cycling”, Y.O. Schumacher, et al, J
Sports Med Phys Fitness, 41(2): 139-146 (2001)
 “Modelling the Development of World Records in Running “, Kuper, G.H. and
Sterken E. , 7-31,. In: Statistical Thinking in Sports, J. Albert and Koning R.H. (eds.),
Chapman & Hall: Boca Raton.
 “Gender & Sport”, Owen Anderson, Peak Performance Online,
http://www.pponline.co.uk/enyc/0151.htm
32

The almost constant ratio of record speeds for women vs. men elite athletes :A comparison over distances and multiple sports

  • 1.
    The almost constantratio of record speedsThe almost constant ratio of record speeds forfor women vs. men elite athleteswomen vs. men elite athletes Ira Hammerman Revava, Israel June 6, 2010 ira@mailaps.org A comparison over distances and multiple sports 1
  • 2.
    Looking at performanceof elite athletes toLooking at performance of elite athletes to teach us something about human capabilitiesteach us something about human capabilities 2 • Looking at world record performance gives a view of human physiology, since elite athletes approach closely the ultimate capabilities of a human being. • Comparing relative record performances of men and women can teach us the relative ultimate physical capabilities of the two genders • Studying the record performances over multiple sports and varied event types, may teach us something universal. • Use only record data from the recognized international sports authorities and only data for which identical competitions exist for men and women
  • 3.
    200200 m outdoorrunning records:m outdoor running records: a comparisona comparison Men: Usain Bolt Berlin ,Aug 8, 2009: 19.19 sec Women: Florence Griffith-Joyner Seoul, Sep 29, 1988: 21.34 sec 0.899 21.34 19.19 SpeedMen SpeedWomen TimeWomen TimeMen Ratio  3
  • 4.
    What if GriffithWhatif Griffith--Joyner Ran in Bolt’sJoyner Ran in Bolt’s RecordRecord 200200m in Berlinm in Berlin 20092009 ?? 4
  • 5.
    Running Speed vs.Distance:Running Speed vs. Distance: 6060 meters tometers to 11 kmkm 5
  • 6.
    Running Speeds vs.DistanceRunning Speeds vs. Distance loglog--log plotlog plot Note: 3 orders of magnitude! Looks like constant factor difference 6
  • 7.
    Time ratios forTimeratios for 3030 running categoriesrunning categories 7
  • 8.
    Summary:Summary: Running Women/Men SpeedRatiosRunning Women/Men Speed Ratios Indoors (60m to 3km; 9 distances) 0.90 ± 0.01 Outdoors (100m to Marathon; 21 distances) 0.89 ± 0.02 All Running (60m to Marathon; 30 categories) 0.89 ± 0.02 8
  • 9.
    Scale down themen’s speeds byScale down the men’s speeds by 00..8989 Almost Match ! 9
  • 10.
    Let’s look ata completely different sport:Let’s look at a completely different sport: KayakingKayaking Kayaking competitions: Distances: 200 m, 500 m, 1000 m Number in Crew: 1, 2 or 4 K4 K1 10
  • 11.
    Speed ratios forSpeedratios for 99 kayaking categorieskayaking categories Distance Number in Crew Men Record Time (s) Women Record Time (s) Ratio 200 m 1 33.98 38.97 0.872 200 m 2 31.57 36.32 0.869 200 m 4 29.023 33.778 0.859 500 m 1 95.63 107.343 0.891 500 m 2 86.873 97.987 0.887 500 m 4 79.65 90.765 0.878 1000 m 1 204.495 232.93 0.878 1000 m 2 189.19 214.935 0.880 1000 m 4 169.875 193.296 0.879 11
  • 12.
    Summary:Summary: Kayaking Men/Women TimeRatiosKayaking Men/Women Time Ratios All Kayaking (9 categories) 0.88 ± 0.01 12
  • 13.
    Let’s look ata completely different sport:Let’s look at a completely different sport: SwimmingSwimming Courses: Long course (50 m pool), Short course (25 m pool) Swim styles and distances: Freestyle: 50, 100, 200, 400, 800, 1500 m Backstroke: 50, 100, 200 m Breaststroke: 50, 100, 200 m Total 24 categories 13
  • 14.
    Time ratios forTimeratios for 2424 swimming categoriesswimming categories Note: Women seem to do better for longer swimming distances 14
  • 15.
    Summary:Summary: Swimming Men/Women TimeRatiosSwimming Men/Women Time Ratios All Swimming (24 categories) 0.89 ± 0.02 15
  • 16.
    A different sport:Adifferent sport: Track CyclingTrack Cycling Events: Only 3 events are same distances for men and women: 200 m (Flying Start) Ratio:Ratio: 00..8888 500 m (Flying Start) Ratio: 0.83 UTC Hour (Longest distance cycled within 1 hour) Record Men: 49.4 km Record Women: 46.1 km, Ratio:Ratio: 00..9393 Speed Endurance 16
  • 17.
    Summary:Summary: Track Cycling Women/MenSpeed RatiosTrack Cycling Women/Men Speed Ratios All Cycling (3 categories) 0.88 ± 0.04 17
  • 18.
    A different sport:Adifferent sport: RowingRowing Rowing competitions have all the same distance: 2 km, but differ in crew composition and rowing technique Number in Crew: 1, 2 , 4 or 9 (8 plus coxswain, who steers and coordinates but doesn’t row) Weight of Crew: normal or lightweight Forms of rowing: sweep (rower has one oar, held in both hands) sculling (rower has two oars, one in each hand) Since competitions are in rivers or lakes, currents and winds influence 18
  • 19.
    Rowing ExamplesRowing Examples Pair(Sweep) Coxed 8 (Sweep) Single (Scull) 19
  • 20.
    Time ratios forTimeratios for 1010 rowing categoriesrowing categories 20
  • 21.
    Summary:Summary: Rowing Men/Women TimeRatiosRowing Men/Women Time Ratios All Rowing (10 categories) 0.90 ± 0.01 21
  • 22.
    Speed Skating onIceSpeed Skating on Ice:: The fastest human powered sportThe fastest human powered sport Arm and leg powered Improvements in skates and garments affect speed Events common for men and women: 500m, 2 x 500m, 1000m, 1500m, 3000m, 5000m From sprint to endurance 22
  • 23.
    All Speed Skating(6 categories) 0.91 ± 0.01 Summary:Summary: Speed Skating Men/Women Time RatiosSpeed Skating Men/Women Time Ratios 23 In skating: women speed closer to men’s than in any other sport
  • 24.
    Summary for allthe sportsSummary for all the sports Sport Number Events Average Men/ Women Time Ratio Running 30 0.89 ± 0.02 Kayaking 9 0.88 ± 0.02 Swimming 24 0.89 ± 0.02 Cycling 3 0.88 ± 0.04 Rowing 10 0.90 ± 0.01 Skating 6 0.91 ± 0.01 All Sports 82 0.89 ± 0.02 24
  • 25.
    Summary for allthe sports (Summary for all the sports (22)) 25
  • 26.
    Progression over years:Progressionover years: Example:Example: 200200m sprintm sprint 26 Ratio remains close to 0.90 for 55 years !! Griffith-Joyner Bolt
  • 27.
    Where there isa good opportunity to improveWhere there is a good opportunity to improve record: where deviation fromrecord: where deviation from 00..8989 is largis largee  For an event with a low ratio (women/men record speed), e.g. 0.83 for 500m cycling, increased training could probably improve the women’s speed.  For an event with a high ratio (women/men record speed), e.g. 0.93 for 1-hour cycling, increased training could probably improve the men’s speed. 27
  • 28.
    What is thelimiting speed factorWhat is the limiting speed factor that gives a nearly constant speed ratio?that gives a nearly constant speed ratio? 28 If the effect is universal independent of details of the sport, the factor must be SIMPLE and BASIC HINTS at a possible explanation: from hemoglobin concentration, and maximum oxygen consumption
  • 29.
    Hemoglobin concentrationHemoglobin concentration 29 Men:13.6 to 17.5 g/dl Women: 12.0 to 15.5 g/dl Ratio (Women/Men): 0.88 to 0.89 !! Source: Current Medical Diagnosis and Treatment, 2009, Lange But what about Sprints where Oxygen supply probably isn’t critical?
  • 30.
    Maximum Oxygen ConsumptionMaximumOxygen Consumption VOVO22MaxMax (ml/kg/min)(ml/kg/min) in long distance runners:in long distance runners: 30 Men: Women: Runner VO2Max Runner VO2Max Marius Bakken 87.4 Grete Waitz 73.5 David Bedford 85.0 Jarmilla Krotochvilova 72.8 Steve Prefontaine 84.4 Ingrid Kristiansen 71.2 Sebastian Coe 77.0 Rosa Mota 67.2 John Landy 76.6 Joan Benoit Samuelson 78.6 Average: 82.1 Average: 72.7 Source: http://fitness.testing.8m.com/vo2max-test.htm http://www.runningforfitness.org/faq/vo2.php Ratio = 72.7 / 82.1 = 0.89 !! Warning! Small selection, Testing procedure might not be the same
  • 31.
    Final Question:Final Question: Whyare there separate chess competitions for men and women? 31
  • 32.
    ReferencesReferences  “Causes ofsexual dimorphism in performance traits: a comparative approach”, R. Van Damme, et al., Evolutionary Ecology Research, 10: 229–250 (2008)  “A theory of competitive running”, J.B. Keller, Physics Today, 26(9): 43-47 (1973)  “Development of peak performance in track cycling”, Y.O. Schumacher, et al, J Sports Med Phys Fitness, 41(2): 139-146 (2001)  “Modelling the Development of World Records in Running “, Kuper, G.H. and Sterken E. , 7-31,. In: Statistical Thinking in Sports, J. Albert and Koning R.H. (eds.), Chapman & Hall: Boca Raton.  “Gender & Sport”, Owen Anderson, Peak Performance Online, http://www.pponline.co.uk/enyc/0151.htm 32