Wexp | R Documentation |
Calculate W' expended, i.e., the work capacity above critical power/speed which has been depleted and not yet been replenished.
Wexp(object, w0, cp, version = c("2015", "2012"), meanRecoveryPower = FALSE)
object |
Univariate |
w0 |
Initial capacity of W', as calculated based on the critical power model by Monod and Scherrer (1965). |
cp |
Critical power/speed, i.e., the power/speed which can be maintained for longer period of time. |
version |
How should W' be replenished? Options include
|
meanRecoveryPower |
Should the mean of all power outputs below critical power be used as recovery power? See Details. |
Skiba et al. (2015) and Skiba et al. (2012) both describe an
exponential decay of W'
expended over an interval
[t_{i-1}, t_i)
if the power output during this interval is
below critical power:
W_exp (t_i) = W_exp(t_{i-1}) * exp(nu * (t_i - t_{i-1}))
However, the factor nu differs: Skiba et al. (2012) describe it as
1/\tau
with \tau
estimated as
tau = 546 * exp(-0.01 * (CP - P_i)) + 316
Skiba et al. (2015) use (P_i - CP) / W'_0
. Skiba et
al. (2012) and Skiba et al. (2015) employ a constant recovery power
(calculated as the mean over all power outputs below critical
power). This rationale can be applied by setting the argument
meanRecoveryPower
to TRUE
. Note that this uses
information from all observations with a power output below
critical power, not just those prior to the current time point.
Monod H, Scherrer J (1965). 'The Work Capacity of a Synergic Muscular Group.' Ergonomics, 8(3), 329–338.
Skiba PF, Chidnok W, Vanhatalo A, Jones AM (2012). 'Modeling the Expenditure and Reconstitution of Work Capacity above Critical Power.' Medicine & Science in Sports & Exercise, 44(8), 1526–1532.
Skiba PF, Fulford J, Clarke DC, Vanhatalo A, Jones AM (2015). 'Intramuscular Determinants of the Ability to Recover Work Capacity above Critical Power.' European Journal of Applied Physiology, 115(4), 703–713.
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