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Making sense out of apparent chaos:
analyzing data from on-bike
powermeters
Andrew R. Coggan, Ph.D.
Cardiovascular Imaging Laboratory
Washington University School of Medicine
St. Louis, MO 63021
On-bike powermeters: both a blessing and a curse
Powermeters provide a
detailed (e.g., second-bysecond) record of a
cyclist’s power, cadence,
heart rate, etc., during
each training session or
race, but...
1. Multiple variables/seconds x 3600 seconds/hour x
several hours/day x 365 days/year = a LOT of data!!
2. Data are highly variable!
“Tools” for analyzing powermeter data
1)
2)
3)
4)

Power profiling
Normalized power
Training stress score
Quadrant analysis
“Tools” for analyzing powermeter data
1)
2)
3)
4)

Power profiling
Normalized power
Training stress score
Quadrant analysis
What is normalized power?
Normalized power is an estimate of the power
that a rider could have maintained for the same
physiological “cost” if power had been perfectly
constant (e.g., as on an ergometer) instead of
variable.
Average power =
273 W
Kinetics of PCr resynthesis

Coggan et al., J Appl Physiol 1993; 75:2125-2133
Half-lives of other physiological responses
Power (force and/or velocity)

(0 s)

PCr kinetics

~25 s

Heart rate/cardiac output:

~25 s

Sweating:

~25 s

VO2:

~30 s

VCO2:

~45 s

Ventilation:

~50 s

Temperature (core):

~70 s
Making sense out of apparent chaos   analyzing data from on-bike powermeters
Data smoothed using 30 s rolling ave.
VO2, heart rate, lactate, and RPE
as a function of power output
VO2

Blood lactate

RPE

Heart rate

180

8

160

7

140
VO2max

6

120

5

100

4

80

3

OBLA

60
40

2
Lactate threshold

1
0

0

50

100

150

200

250

Power (W)

300

350

400

20
0
450

HR (beats/min)

VO2 (L/min), lactate (mM), or RPE
(U)

9
Blood lactate-exercise intensity relationship
20

y = 3.94x3.91
R2 = 0.81

Blood lactate (mmol/L)

18
16
14
12
10
8
6
4
2
0
0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

Power/power at lactate threshold

Coggan, unpublished observations
Making sense out of apparent chaos   analyzing data from on-bike powermeters
Making sense out of apparent chaos   analyzing data from on-bike powermeters
Steps to calculate normalized power
1) smooth the data using a 30 s rolling average to
take into account the time course of physiological
responses
2) Raise the data obtained in step 1 to the 4th power
take into account the non-linear nature of
physiological responses
3) take the average of the values obtained in step 2
4) reverse step 2 to obtain the normalized power
Normalized
power = 301 W
Relationship of average and normalized power to
maximal steady state power
Average power

Normalized power

Power during ~1 h race (W)

500

400

y = 0.93x + 27
R2 = 0.93

300
y = 1.27x - 126
R2 = 0.73

200

100

0
0

100

200

300

400

500

Maximal steady state power (W)

Coggan, unpublished observations
Normalized power for 1 h (W)

Relationship of normalized power to power at lactate
threshold (Dmax method)
500

400
y = 0.88x + 51
R2 = 0.91

300

200

100

0
0

100

200

300

400

500

Power at lactate threshold (Dmax method) (W)

Edwards et al., unpublished observations
Advantages of/uses for normalized power
• Allows more valid comparison of races or training
sessions with differing demands
– e.g., hilly vs. flat training rides, criteriums vs. TTs, outdoor vs.
indoor training

• Helpful in the design of novel interval workouts
– if normalized power for session (intervals plus recovery periods
combined) exceeds athlete’s power-duration curve, unlikely that
they will be able to complete workout as planned
Advantages of/uses for normalized power (con’t)
• Can be used to assess changes in fitness w/o need for
formal testing
– normalized power from hard ~1 h race provides estimate of
maximal steady state power

• May prove to be useful constraint when attempting to
model performance
– e.g., to determine optimal TT pacing strategy
Limitations of normalized power
• Essentially assumes that the net contribution from
anaerobic ATP production is negligible
– therefore not valid during shorter efforts in which contribution
from anaerobic capacity is significant (e.g., individual pursuit)

• Occasionally overestimates sustainable power
– is the algorithm biased, or are such data just statistical outliers?

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Making sense out of apparent chaos analyzing data from on-bike powermeters

  • 1. Making sense out of apparent chaos: analyzing data from on-bike powermeters Andrew R. Coggan, Ph.D. Cardiovascular Imaging Laboratory Washington University School of Medicine St. Louis, MO 63021
  • 2. On-bike powermeters: both a blessing and a curse Powermeters provide a detailed (e.g., second-bysecond) record of a cyclist’s power, cadence, heart rate, etc., during each training session or race, but... 1. Multiple variables/seconds x 3600 seconds/hour x several hours/day x 365 days/year = a LOT of data!!
  • 3. 2. Data are highly variable!
  • 4. “Tools” for analyzing powermeter data 1) 2) 3) 4) Power profiling Normalized power Training stress score Quadrant analysis
  • 5. “Tools” for analyzing powermeter data 1) 2) 3) 4) Power profiling Normalized power Training stress score Quadrant analysis
  • 6. What is normalized power? Normalized power is an estimate of the power that a rider could have maintained for the same physiological “cost” if power had been perfectly constant (e.g., as on an ergometer) instead of variable.
  • 8. Kinetics of PCr resynthesis Coggan et al., J Appl Physiol 1993; 75:2125-2133
  • 9. Half-lives of other physiological responses Power (force and/or velocity) (0 s) PCr kinetics ~25 s Heart rate/cardiac output: ~25 s Sweating: ~25 s VO2: ~30 s VCO2: ~45 s Ventilation: ~50 s Temperature (core): ~70 s
  • 11. Data smoothed using 30 s rolling ave.
  • 12. VO2, heart rate, lactate, and RPE as a function of power output VO2 Blood lactate RPE Heart rate 180 8 160 7 140 VO2max 6 120 5 100 4 80 3 OBLA 60 40 2 Lactate threshold 1 0 0 50 100 150 200 250 Power (W) 300 350 400 20 0 450 HR (beats/min) VO2 (L/min), lactate (mM), or RPE (U) 9
  • 13. Blood lactate-exercise intensity relationship 20 y = 3.94x3.91 R2 = 0.81 Blood lactate (mmol/L) 18 16 14 12 10 8 6 4 2 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 Power/power at lactate threshold Coggan, unpublished observations
  • 16. Steps to calculate normalized power 1) smooth the data using a 30 s rolling average to take into account the time course of physiological responses 2) Raise the data obtained in step 1 to the 4th power take into account the non-linear nature of physiological responses 3) take the average of the values obtained in step 2 4) reverse step 2 to obtain the normalized power
  • 18. Relationship of average and normalized power to maximal steady state power Average power Normalized power Power during ~1 h race (W) 500 400 y = 0.93x + 27 R2 = 0.93 300 y = 1.27x - 126 R2 = 0.73 200 100 0 0 100 200 300 400 500 Maximal steady state power (W) Coggan, unpublished observations
  • 19. Normalized power for 1 h (W) Relationship of normalized power to power at lactate threshold (Dmax method) 500 400 y = 0.88x + 51 R2 = 0.91 300 200 100 0 0 100 200 300 400 500 Power at lactate threshold (Dmax method) (W) Edwards et al., unpublished observations
  • 20. Advantages of/uses for normalized power • Allows more valid comparison of races or training sessions with differing demands – e.g., hilly vs. flat training rides, criteriums vs. TTs, outdoor vs. indoor training • Helpful in the design of novel interval workouts – if normalized power for session (intervals plus recovery periods combined) exceeds athlete’s power-duration curve, unlikely that they will be able to complete workout as planned
  • 21. Advantages of/uses for normalized power (con’t) • Can be used to assess changes in fitness w/o need for formal testing – normalized power from hard ~1 h race provides estimate of maximal steady state power • May prove to be useful constraint when attempting to model performance – e.g., to determine optimal TT pacing strategy
  • 22. Limitations of normalized power • Essentially assumes that the net contribution from anaerobic ATP production is negligible – therefore not valid during shorter efforts in which contribution from anaerobic capacity is significant (e.g., individual pursuit) • Occasionally overestimates sustainable power – is the algorithm biased, or are such data just statistical outliers?