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To find the MWI for a workout definition, we calculate the magnitude product for the workout as if it was performed at max intensity. We do this for the cardio and strength responses separately, then average them together. We ignore the other two responses because they do not add any useful information to the picture - a workout will not elicit a metabolic or EPOC response without an equivalent cardio or strength response.
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CardioMagnitudeProduct = 0.23 StrengthMagnitudeProduct = 0.76 MWI = (CardioMagnitudeProduct + StrengthMagnitudeProduct) / 2 MWI => 0.495 |
Actual Workout Impact (AWI)
The actual workout impact figure is a property of the workout activity. If is a measure of the total adaptive response that the user actually got when they completed the workout, considering their fitness level and the intensity with which they completed it.
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The AWI is calculated in the same way as the MWI, but uses the intensity from the workout activity instead.
Impact Credit (IC)
The user's impact credit is the sum of all AWI they have earned since their last fitness test. Each time they complete a workout activity, their IC increases and, when they complete a fitness test, their IC is reset to zero.
However, impact credit is not awarded instantly after a workout activity. The AWI from each workout is added to their impact credit bar over time, as the adaptive responses from the activity play out. So therefore, we have a concept of pending IC and realised IC - credit yet to be added to the bar and credit already added to the bar. Note that the IC from multiple workout activities may be being added to the bar at the same time.
Calculations:
To calculate the user's pending and realised impact credit at any given time, we can calculate the pending and realised impact for each workout activity that is still delivering an adaptive response, then sum them up.
To do this, we calculate how much of the response has passed and how much is in the future. We do this for the cardiovascular and strength responses only.
The details of the calculation are explained here:
Calculate the 'total response' for cardio by finding the time delta (in hours) where the response 'ends' (reaches 0.01). Do this for strength too.
Estimate the area under the response curve between time delta = 0 and the end. Do this for strength too and add them together.
Estimate the area under the curve between time data = 0 and now. Do this for strength too and add them together.
Use the ratio between these two figures to determine the fraction of actual workout impact that has been realised and is pending.
Impact Credit Attrition
If the user does not complete a workout activity for 7 days, their realised impact credit starts to reduce.
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Workout Response Type Fractions
For display and for other calculations, we need to calculate a breakdown of the relative-size of each of the four adaptive responses expected from a workout definition. This breakdown must consider the user's current fitness level - specifically their cardio fitness bias. and therefore must use magnitude products as inputs. The calculation below shows how we do this for the cardiovascular response only:
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CardioMagnitudeProduct = 0.13 StrengthMagnitudeProduct = 0.76 MetabolicMagnitudeProduct = 0.54 EpocMagnitudeProduct = 0.43 TotalProduct = CardioMagnitudeProduct + StrengthMagnitudeProduct + MetabolicMagnitudeProduct + EpocMagnitudeProduct TotalProduct => 1.86 CardioFraction = CardioMagnitudeProduct / TotalProduct CardioFraction => 0.0699 |
This data is used to create the workout response type pie charts.
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In addition, we can combine the response type fractions and the AWI to show the specific AWI of a specific response - for cardio for example:
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AWI = 0.385 CardioFraction = 0.0699 CardioAWI = CardioFraction / AWI CardioAWI => 0.1816 |
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These breakdown figures are shown around the workout response type pie chart on the Workout Activity View.
Requirements
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