How Detraining Decay Estimator works
Methodology for the Detraining Decay Estimator: Mujika & Padilla model, training-age scaling, and retraining recovery.
Scope
Estimates 1RM decay across a training layoff. Returns predicted strength after the gap, weekly trajectory, and rough recovery time once retraining starts.
Formula
Exponential decay toward an asymptote (residual strength floor):
x(t) = asymptote + (peak − asymptote) × exp(−k × t)
where k = −ln(1 − decay_rate) tunes the curve so the first-week loss equals the band's headline rate.
Coefficients (training-age bands)
| Training age | Decay/wk | Asymptote |
|---|---|---|
| < 1 yr | 5% | 50% |
| 1–3 yr | 3.5% | 60% |
| 3–7 yr | 2.5% | 70% |
| ≥ 7 yr | 1.8% | 75% |
Data sources
- Mujika I, Padilla S. Detraining: loss of training-induced physiological and performance adaptations. Part II: Long term insufficient training stimulus. Sports Med. 2000;30(3):145-154. — PMID 10999421. Headline strength-decay rates by training-age band.
- Mujika I, Padilla S. Cardiorespiratory and metabolic characteristics of detraining in humans. Med Sci Sports Exerc. 2001;33(3):413-421. — Companion study on aerobic decay; informs the asymptote shape.
- Mujika I. The alphabet of sport science research starts with Q. Int J Sports Physiol Perform. 2013;8(5):465-466. — Practical retraining heuristics.
Assumptions
- Layoff means no resistance training. Light activity (walking, easy cycling) doesn't change decay rate materially.
- Retraining recovery uses a 1-week-per-2-weeks-off heuristic, capped at original training-age length.
- Bands are coarse — a 4-yr lifter is identical to a 3-yr lifter under the model.
Approximation range
Real decay varies ±30% per individual. Females, older lifters, and dieting populations decay faster; well-fed, lean-mass-rich lifters decay slower.
Limitations
- Does not model muscle memory pathways (myonuclei retention, Gundersen 2016) which speed retraining.
- Treats 1RM as the only output; hypertrophy decays faster than strength in young lifters.
- Asymptote is an empirical floor, not a guarantee — beyond 6 months off, decay continues slowly past the predicted asymptote.
Reproducibility
1RM 150 kg, 4 weeks off, 3 yr training age: band = 2.5% decay, 70% asymptote. asymptote = 105 kg. k = −ln(0.975) ≈ 0.0253. predicted = 105 + (150 − 105)×exp(−0.0253×4) ≈ 145.6 kg. Loss ≈ 3%.
Change log
- 2026-05-08: methodology page first published.
Related tools
- One-Rep Max Calculator — Estimate the prior 1RM you feed in.
- Wendler 5/3/1 Planner — A safe template for the retraining block.
Worked example
Computed by the same engine bundle served at
/engines/detraining-decay.js. Re-runnable: the values below
are the literal output of compute(engineInput).
Input
- tool
- detraining_decay
- prior_1rm
- 150
- weeks_off
- 4
- training_age_years
- 3
Output
- prior1Rm
- 150
- trainingAgeYears
- 3
- decayRatePerWeek
- 0.025
- asymptotePctOfPeak
- 70
- predicted1RmAfterWeeksOff
- 145.7
- pctLossTotal
- 2.9
- weeklyTrajectory
- [{"week":0,"predicted1Rm":150,"pctOfPeak":100,"pctLossWeekly":0},{"week":1,"predicted1Rm":148.9,"pctOfPeak":99.3,"pctLossWeekly":0.8},{"week":2,"predicted1Rm":147.8,"pctOfPeak":98.5,"pctLossWeekly":0.7},{"week":3,"predicted1Rm":146.7,"pctOfPeak":97.8,"pctLossWeekly":0.7},{"week":4,"predicted1Rm":145.7,"pctOfPeak":97.1,"pctLossWeekly":0.7}]
- retrainingWeeksToPeak
- 2
FAQ
- What does the Detraining Decay Estimator calculate?
- Methodology for the Detraining Decay Estimator: Mujika & Padilla model, training-age scaling, and retraining recovery.
- What inputs does the Detraining Decay Estimator require?
- It takes the following inputs: prior 1rm, weeks off, training age years.
- What does the Detraining Decay Estimator return?
- It returns: predicted1RmAfterWeeksOff, pctLossTotal, decayRatePerWeek, asymptotePctOfPeak, retrainingWeeksToPeak, weeklyTrajectory.
- Is the Detraining Decay Estimator free to use?
- Yes. It runs entirely client-side in your browser with no signup, and is also importable as an ES module engine for AI agents.
- What category does the Detraining Decay Estimator belong to?
- Planning. See the methodology above for formulas, assumptions, and limitations.