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The Performance ManagerTM
Andrew R. Coggan, Ph.D.
Cardiovascular Imaging Laboratory
Washington University School of Medicine
St. Louis, MO 63021
Scientific studies using mathematical modeling to
quantitatively relate training load to performance
‱ Approximately 30 English language papers
‱ Many different sports studied (i.e., weightlifting,
hammer throwing, running, swimming, cycling,
triathlon)
‱ Variety of mathematical approaches used (e.g., from
simple regression to neural networking)
‱ Vast majority have relied upon Banister’s impulseresponse model or some variation thereof.
Impulse-response model of training adaptation

Banister et al., Aust J Sports Med 7:57, 1975
Impulse-response model: effect of “square wave”
increase in training load to 100 units/d
Prediction of training-induced changes in
performance using impulse-response model

Busso et al., J Appl Physiol 92:572, 2002
Limitations to the impulse-response model
‱ Mathematically complex, yet overly simplified
‱ Requires frequent, quantitative measurement of
performance (i.e., 20-200 times every 60-90 d)
‱ Parameter estimates still may be insufficiently stable
(precise) to permit highly accurate prediction of future
performance
‱ Inter-study and inter-subject variability in parameter
estimates (esp. ka (k1) and kf (k2)) limits ability to apply
“generic” version of model
Representative studies from the literature
Subjects

Training
program

τa (τ1)

τf (τ2)

ka (k1)

kf (k2)

Initially
untrained
men (n=8)

Constantload
cycling
60 min/d,
4 d/wk, for
14 wk

38±9

2±2

0.048±0.019

0.117±0.114

Busso et al.,
1997

Recreational
cyclists (n=2)

Interval
cycling 4060 min/d,
3-5 d/wk
for 14 wk

60, 60

4, 6

0.0021,
0.0019

0.0078,
0.0073

Busso, 1993

Initially
untrained
men (n=6)

Interval
cycling 4060 min/d
for 15 wk

3 d/wk:
41±15
5 d/wk:
35±12

3 d/wk:
9±6
5 d/wk:
13±3

3 d/wk:
0.019±0.006
5 d/wk:
0.021±0.006

3 d/wk:
0.015±0.008
5 d/wk:
0.021±0.006

Study

Busso et al.,
1991
Representative studies from the literature (con’t)
Subjects

Training
program

τa (τ1)

τf (τ2)

ka (k1)

kf (k2)

Morton et
al., 1990

Initially
untrained
men (n=2)

Running
40-100
min/d, 7
d/wk, for 4
wk

40, 50

11, 11

1, 1

1.8, 2

Iñigo et al.,
1996

National and
international
level
swimmers
(n=18)

Swimming
35-40
km/wk for
44 wk

41±4

12±6

0.062±0.04

0.128±0.055

Hellard et
al., 2005

Olympic level
swimmers
(n=7)

Swimming
45-50
km/wk for
4y

50±8

19±8

0.01±0.01

0.05±0.03

Study
Impulse-response model of training adaptation
Performance Manager

∝

Coggan, 2004
Banister et al., Aust J Sports Med 7:57, 1975
Performance Manager: result of “square wave”
increase in training load to 100 TSS/d
Uses for the Performance Manager
‱ Determining optimal long-term training load
‱ Identifying periods of severe overreaching that may
lead to illness or overtraining
‱ Identifying periods of “training stagnation”
‱ Assuring that the progressive overload principle is
applied in a rationale manner
‱ Planning a taper in an attempt to peak for a particular
event
Performance Manager chart
for an elite track cyclist (2002 season)
Performance Manager chart
for an elite track cyclist (2002 season) (con’t)
Performance versus TSB: effect of duration
Duration of effort

TSB at time of PB

5s

35

10 s

35

20 s

35

30 s

35

1 min

34

2 min

34

5 min

33

5 min (normalized power)

34

10 min

6

10 min (normalized power)

5

20 min

(-19)

20 min (normalized power)

34

30 min

6

30 min (normalized power)

34

60 min

(-10)

60 min (normalized power)

34
Performance Manager chart for a masters cyclist
(2004 season)
Performance Manager chart for a masters cyclist
(2004 season) (con’t)
Performance Manager chart for a masters cyclist
(2005 season)
Performance Manager chart for a masters cyclist
(2005 season) (con’t)
Performance versus TSB: effect of duration
Duration of effort

TSB for 2004 PB

TSB for 2005 PB

5s

11

13

10 s

11

6

20 s

11

3

30 s

11

13

1 min

19

13

2 min

8

14

5 min

4

9

5 min (normalized power)

6

10

10 min

0

(-7)

10 min (normalized power)

19

10

20 min

0

(-4)

20 min (normalized power)

19

6

30 min

10

(-2)

30 min (normalized power)

1

6

60 min

3

(-2)

60 min (normalized power)

3

(-5)
TSB at time of personal best for power
(all durations)
TSB at time of personal best for power
(<5 min)
TSB at time of personal best for power
(>10 min)
Caveats and limitations
‱ Accuracy of predictions depends upon:
– Accuracy/completeness of underlying data
– Use of appropriate time constants (esp. for ATL)

‱ “Composition” of the training load still matters
‱ Training Manager helps you view the “forest”, but
you should never lose sight of the “trees”
Additional resources
‱ www.cyclingpeakssoftware.com/power411/
performancemanagerscience.asp
‱ www.cyclingpeakssoftware.com/power411/
performancemanager.asp
‱ www.cyclingpeakssoftware.com/power411/
howtoperformancemanager.asp
‱ www.cyclingpeakssoftware.com/support/
WKO+2_1_user_guide.pdf
Special thanks to the “beta testers” of the
Performance Manager
Hunter Allen
Tom Anhalt
Gavin Atkins
Andy Birko
Lindsay Edwards
Mark Ewers
Sam Callan
Chris Cleeland
Tony Geller
Dave Harris
Dave Jordaan
Kirby Krieger
Chris Merriam
Jim Miller
Chris Mayhew

Dave Martin
Scott Martin
Phil McKnight
Rick Murphy
Terry Ritter
Ben Sharp
Alex Simmons
Phil Skiba
Ric Stern
Bob Tobin
John Verheul
Frank Overton
Lynda Wallenfells
Mike Zagorski

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Performance manager cycling summit 2006

  • 1. The Performance ManagerTM Andrew R. Coggan, Ph.D. Cardiovascular Imaging Laboratory Washington University School of Medicine St. Louis, MO 63021
  • 2. Scientific studies using mathematical modeling to quantitatively relate training load to performance ‱ Approximately 30 English language papers ‱ Many different sports studied (i.e., weightlifting, hammer throwing, running, swimming, cycling, triathlon) ‱ Variety of mathematical approaches used (e.g., from simple regression to neural networking) ‱ Vast majority have relied upon Banister’s impulseresponse model or some variation thereof.
  • 3. Impulse-response model of training adaptation Banister et al., Aust J Sports Med 7:57, 1975
  • 4. Impulse-response model: effect of “square wave” increase in training load to 100 units/d
  • 5. Prediction of training-induced changes in performance using impulse-response model Busso et al., J Appl Physiol 92:572, 2002
  • 6. Limitations to the impulse-response model ‱ Mathematically complex, yet overly simplified ‱ Requires frequent, quantitative measurement of performance (i.e., 20-200 times every 60-90 d) ‱ Parameter estimates still may be insufficiently stable (precise) to permit highly accurate prediction of future performance ‱ Inter-study and inter-subject variability in parameter estimates (esp. ka (k1) and kf (k2)) limits ability to apply “generic” version of model
  • 7. Representative studies from the literature Subjects Training program τa (τ1) τf (τ2) ka (k1) kf (k2) Initially untrained men (n=8) Constantload cycling 60 min/d, 4 d/wk, for 14 wk 38±9 2±2 0.048±0.019 0.117±0.114 Busso et al., 1997 Recreational cyclists (n=2) Interval cycling 4060 min/d, 3-5 d/wk for 14 wk 60, 60 4, 6 0.0021, 0.0019 0.0078, 0.0073 Busso, 1993 Initially untrained men (n=6) Interval cycling 4060 min/d for 15 wk 3 d/wk: 41±15 5 d/wk: 35±12 3 d/wk: 9±6 5 d/wk: 13±3 3 d/wk: 0.019±0.006 5 d/wk: 0.021±0.006 3 d/wk: 0.015±0.008 5 d/wk: 0.021±0.006 Study Busso et al., 1991
  • 8. Representative studies from the literature (con’t) Subjects Training program τa (τ1) τf (τ2) ka (k1) kf (k2) Morton et al., 1990 Initially untrained men (n=2) Running 40-100 min/d, 7 d/wk, for 4 wk 40, 50 11, 11 1, 1 1.8, 2 Iñigo et al., 1996 National and international level swimmers (n=18) Swimming 35-40 km/wk for 44 wk 41±4 12±6 0.062±0.04 0.128±0.055 Hellard et al., 2005 Olympic level swimmers (n=7) Swimming 45-50 km/wk for 4y 50±8 19±8 0.01±0.01 0.05±0.03 Study
  • 9. Impulse-response model of training adaptation Performance Manager ∝ Coggan, 2004 Banister et al., Aust J Sports Med 7:57, 1975
  • 10. Performance Manager: result of “square wave” increase in training load to 100 TSS/d
  • 11. Uses for the Performance Manager ‱ Determining optimal long-term training load ‱ Identifying periods of severe overreaching that may lead to illness or overtraining ‱ Identifying periods of “training stagnation” ‱ Assuring that the progressive overload principle is applied in a rationale manner ‱ Planning a taper in an attempt to peak for a particular event
  • 12. Performance Manager chart for an elite track cyclist (2002 season)
  • 13. Performance Manager chart for an elite track cyclist (2002 season) (con’t)
  • 14. Performance versus TSB: effect of duration Duration of effort TSB at time of PB 5s 35 10 s 35 20 s 35 30 s 35 1 min 34 2 min 34 5 min 33 5 min (normalized power) 34 10 min 6 10 min (normalized power) 5 20 min (-19) 20 min (normalized power) 34 30 min 6 30 min (normalized power) 34 60 min (-10) 60 min (normalized power) 34
  • 15. Performance Manager chart for a masters cyclist (2004 season)
  • 16. Performance Manager chart for a masters cyclist (2004 season) (con’t)
  • 17. Performance Manager chart for a masters cyclist (2005 season)
  • 18. Performance Manager chart for a masters cyclist (2005 season) (con’t)
  • 19. Performance versus TSB: effect of duration Duration of effort TSB for 2004 PB TSB for 2005 PB 5s 11 13 10 s 11 6 20 s 11 3 30 s 11 13 1 min 19 13 2 min 8 14 5 min 4 9 5 min (normalized power) 6 10 10 min 0 (-7) 10 min (normalized power) 19 10 20 min 0 (-4) 20 min (normalized power) 19 6 30 min 10 (-2) 30 min (normalized power) 1 6 60 min 3 (-2) 60 min (normalized power) 3 (-5)
  • 20. TSB at time of personal best for power (all durations)
  • 21. TSB at time of personal best for power (<5 min)
  • 22. TSB at time of personal best for power (>10 min)
  • 23. Caveats and limitations ‱ Accuracy of predictions depends upon: – Accuracy/completeness of underlying data – Use of appropriate time constants (esp. for ATL) ‱ “Composition” of the training load still matters ‱ Training Manager helps you view the “forest”, but you should never lose sight of the “trees”
  • 24. Additional resources ‱ www.cyclingpeakssoftware.com/power411/ performancemanagerscience.asp ‱ www.cyclingpeakssoftware.com/power411/ performancemanager.asp ‱ www.cyclingpeakssoftware.com/power411/ howtoperformancemanager.asp ‱ www.cyclingpeakssoftware.com/support/ WKO+2_1_user_guide.pdf
  • 25. Special thanks to the “beta testers” of the Performance Manager Hunter Allen Tom Anhalt Gavin Atkins Andy Birko Lindsay Edwards Mark Ewers Sam Callan Chris Cleeland Tony Geller Dave Harris Dave Jordaan Kirby Krieger Chris Merriam Jim Miller Chris Mayhew Dave Martin Scott Martin Phil McKnight Rick Murphy Terry Ritter Ben Sharp Alex Simmons Phil Skiba Ric Stern Bob Tobin John Verheul Frank Overton Lynda Wallenfells Mike Zagorski