Tapering Calculator Formula
Understand the math behind the tapering calculator. Each variable explained with a worked example.
Formulas Used
Taper Week 1 Volume
week1_volume = peak_volume * pow(2.71828, decay_rate * 1)Taper Week 2 Volume
week2_volume = peak_volume * pow(2.71828, decay_rate * 2)Final Week Volume
final_week_volume = peak_volume * final_volume_pct / 100Variables
| Variable | Description | Default |
|---|---|---|
peak_volume | Peak Weekly Volume(hours) | 12 |
taper_weeks | Taper Duration(weeks) | 3 |
final_volume_pct | Final Week Volume(%) | 40 |
decay_rate | Derived value= log(final_volume_pct / 100) / taper_weeks | calculated |
How It Works
Pre-Competition Tapering
Tapering is the systematic reduction of training volume before competition to allow full recovery while maintaining fitness.
Exponential Taper Model
Weekly Volume = Peak Volume x e^(decay_rate x week)
decay_rate = ln(Final %) / Taper Weeks
Research shows that an exponential taper (progressive reduction) outperforms linear tapers. Volume should decrease 40-60% while intensity is maintained at or above pre-taper levels.
Worked Example
Tapering from 12 hours/week to 40% over 3 weeks.
- 01Decay rate = ln(0.40) / 3 = -0.916 / 3 = -0.305
- 02Week 1 = 12 x e^(-0.305) = 12 x 0.737 = 8.8 hours
- 03Week 2 = 12 x e^(-0.611) = 12 x 0.543 = 6.5 hours
- 04Week 3 (final) = 12 x 0.40 = 4.8 hours
Frequently Asked Questions
How long should a taper be?
Research supports 2-3 weeks for most endurance events. Too short a taper does not allow full recovery; too long can lead to detraining.
Should I reduce intensity during a taper?
No. Maintain intensity (pace, power) while cutting volume. This preserves neuromuscular fitness and race-specific adaptations while allowing metabolic recovery.
How much performance gain can I expect?
A well-executed taper typically improves performance by 2-6%. For a 3-hour marathoner, that could mean 4-10 minutes faster.
Ready to run the numbers?
Open Tapering Calculator