the new power-duration model in wko4 november 26, 2013 | andrew r. coggan, ph.d

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The New Power-Duration Model in WKO4 November 26, 2013 | Andrew R. Coggan, Ph.D.

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The New Power-Duration Model in WKO4 November 26, 2013 | Andrew R. Coggan, Ph.D. The $64,000 question. Why attempt to mathematically model the power-duration relationship?. The $64,000 answer. - PowerPoint PPT Presentation

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Page 1: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

The New Power-Duration Model in WKO4November 26, 2013 | Andrew R. Coggan, Ph.D.

Page 2: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

The $64,000 question

Why attempt to mathematically model the power-duration relationship?

Page 3: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

The $64,000 answer

Because having a robust mathematical description of an individual’s power-duration relationship provides quantitative insight re. their unique abilities and paves the way for other analyses.

Page 4: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Importance of new power-duration model

Page 5: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Uses for the power-duration model

1. Auto FTP2. Pmax3. FRC4. dFRC5. Phenotyping6. Individual adaptations scores7. Auto match finding8. Identification of outliers9. Optimal pacing strategy10. Application to other sports

Page 6: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Definitions of terms

• Pmax – the maximal power that can be generated for a very short period of time. Units are W or W/kg.

• Functional reserve capacity (FRC) – the total amount of work that can be done during continuous exercise above FTP before fatigue occurs. Units are kJ or J/kg.

• Functional threshold power (FTP) – the highest power that can be sustained in a quasi-steady-state for a prolonged period of time. Units are W or W/kg

Page 7: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Uses for the power-duration model

1. Auto FTP2. Pmax3. FRC4. dFRC5. Phenotyping6. Individual adaptations scores7. Auto match finding8. Identification of outliers9. Optimal pacing strategy10. Application to other sports

Page 8: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

1. Automatic estimation of FTP

Page 9: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Auto-estimation of FTP

Page 10: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Auto-FTP vs. 95% of best 20 min power

Page 11: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

2. Calculation of Pmax

Page 12: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Pmax vs. 1 s power

Page 13: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

3. Calculation of FRC

Page 14: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Benefits of the critical power model

“. . . the critical power concept is useful for two reasons. One, it provides a very good conceptual framework for understanding the most basic factors determining exercise performance/power output (i.e., anaerobic and aerobic energy production), and how the contribution of each varies as a function of time. Two, actually measuring critical power and W’ is well within the capacity of anyone who owns a power meter (and understands a little bit about math), and thus provides a means of quantifying changes in fitness beyond just even "I was able to sustain X watts for Y seconds.”

- Yours truly, post to the wattage list on 2/11/2002

Page 15: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved. 15

Changes in FRC across seasons

Page 16: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved. 16

Changes in FRC across seasons

Page 17: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved. 17

Changes in FRC within a season

Page 18: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved. 18

Power-duration history chart in WKO4

Page 19: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

4. Dynamic FRC

Page 20: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

The origins of dFRC: modeling team pursuit

Page 21: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Origins of dFRC: modeling other events

Page 22: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Example of dFRC modeling: track racing

Page 23: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Example of dFRC modeling: track racing

Page 24: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Example of dFRC modeling: intervals

Page 25: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Example of dFRC modeling: intervals

Page 26: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Example of dFRC modeling: intervals

Page 27: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Example of dFRC modeling: hillclimb TT

Page 28: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Example of dFRC modeling: criterium

Page 29: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Example of dFRC modeling: intervals

Page 30: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

5. Phenotyping

Page 31: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Phenotyping in WKO4

• The objective classification of a cyclist as a “sprinter”, “pursuiter”, “all-rounder”, or “TTer” based on quantitative analysis of the shape of their individual power-duration relationship.

Page 32: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Evolution of rider phenotyping

Page 33: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved. 33

Automatic rider phenotyping in WKO4

Page 34: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Phenotype map

Page 35: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved. 35

Automatic rider phenotyping in WKO4

Page 36: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Power-duration standards in WKO4

Page 37: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

6. Individual adaptation scores

Page 38: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Modeling adaption instead of stress/strain

“(That is why) it is TSS (training stress score) and not TPS (training performance score).”

– Yours truly, post to the the wattage list on 4/30/2005 “XXXX had it right when he indicated that TSS is merely a measure of the overall training load/stress, and in and of itself is *not* a predictor of (aerobic) performance. At least in theory, it is possible to derive a metric that would more directly predict, e.g., changes in functional threshold power, but this would entail more than just ignoring the additional strain resulting from very high intensity exercise . . . it would require discounting that strain relative to that encountered at lower intensities.”

– Yours truly, post to the the wattage list on 9/26/2005

Page 39: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Relationship between training and performance

Training loadAthlete

Performance

(“dose”) (↑ or ↓)

SystemResponseStimulus

(stress) (strain)

Page 40: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

7. Automatic match finding

Page 41: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

What is a “match”?

Page 42: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Example of automatic match identification

Page 43: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

8. Identification of outliers

Page 44: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Identification of outliers

1 10 100 1000 10000 1000000

200

400

600

800

1000

1200

1400

1600

1800

2000

Duration (s)

Pow

er (W

)

Page 45: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Variability of human performance

Page 46: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

9. Calculation of optimal pacing strategy

Page 47: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Analysis of TT pacing strategy - 2003

Where I lost!!

Page 48: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Optimal pacing strategy - 2006 national TT

Page 49: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

10. Application to other sports

Page 50: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved. 50

Application of the model to running

Page 51: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved. 51

Application of the model to swimming

Page 52: The New Power-Duration Model in WKO4 November 26,  2013  |  Andrew R. Coggan, Ph.D

Andrew R. Coggan, Ph.D., Peaks Coaching Group, and/or TrainingPeaks are the owner(s) and/or licensee(s) of all intellectual property rights to this presentation and the material it contains. These works are protected by copyright laws and treaties around the world. All such rights are reserved.

Conclusions

The new power-duration model in WKO4 serves as the basis for numerous other analyses that can potentially provide important new insight for powermeter users.