What Is Critical Speed? The Runner's Guide to CS and D-Prime
Understand critical speed, the D-prime anaerobic reserve, how to estimate CS from time trials, and how to use it in training.
Quick Answer
Critical speed (CS) is the boundary between sustainable heavy-intensity running and unsustainable severe-intensity running. Below CS, you can hold a steady pace for a long time. Above CS, time to exhaustion is limited by how much you exceed CS and how much anaerobic reserve (D') you have left.
In plain terms
CS is the fastest pace you could hold for roughly 30-60 minutes in a fresh state. It sits near, but is not identical to, lactate threshold and marathon pace for many trained runners.
The Two-Component Model: CS and D'
Critical speed theory uses two parameters. CS represents aerobic sustainable speed. D' (D-prime) represents a finite anaerobic work capacity above CS, measured in meters. Think of D' as a fuel tank you draw from whenever you run faster than CS.
Distance-time relationship
t = D' / (S - CS)Where t is time to exhaustion at constant speed S (when S > CS). From multiple time trials, plot distance versus time: CS is the slope and D' is the y-intercept in the linear model d = CS·t + D'.
How to Estimate Critical Speed
Two-point method
Use two time trials at different distances (e.g., 3K and 5K, or 1500m and 3K). Plot distance vs time; CS is the slope and D' is the y-intercept of the linear relationship.
Three-point method
Add a third effort (e.g., 1 mile, 3K, and 5K) for better accuracy. More data points reduce error from pacing mistakes or incomplete effort on a single trial.
| Protocol | Distances | Accuracy | Best for |
|---|---|---|---|
| Two-point | 3K + 5K | Moderate | Quick field estimate |
| Three-point | 1 mi + 3K + 5K | Higher | Serious training planning |
| Race-based | Recent race results | Variable | Runners who race frequently |
CS vs Other Thresholds
| Metric | What it measures | Typical duration |
|---|---|---|
| Critical speed | Heavy-severe intensity boundary (model) | Often near 30-60 min effort |
| Lactate threshold (LT2) | Blood lactate accumulation | 45-75 min |
| VDOT T pace | Daniels threshold training pace | 20-40 min intervals |
| Marathon pace | Race-specific sustainable pace | 2-5 hours |
Training Applications
Intervals above CS
VO2max and speed sessions should exceed CS. The further above CS and the longer the rep, the faster you deplete D'. Recovery between reps allows partial D' restoration.
Tempo at or near CS
Sustained efforts at 95-100% of CS build threshold fitness. Typical format: 20-30 minutes at CS pace or 3-4 x 8 minutes with short recovery.
Race pacing
5K race pace is often 105-115% of CS. 10K is near 100-105%. Half marathon is 90-95%. Marathon is 80-88% of CS for well-trained runners.
Limitations
CS estimates depend on time-trial quality. Pacing errors, heat, hills, or incomplete effort skew results. CS is a model, not a direct physiological measurement like blood lactate. Use it alongside other metrics for training decisions.
Calculate Your Critical Speed
Enter two or three recent time trials to estimate CS and D' with the Critical Speed Calculator.
Critical Speed CalculatorEditorial references
- Critical power: implications for determination of VO2max and exercise tolerance
Poole, D.C. et al. (2016). European Journal of Applied Physiology, 116(1), 1-23.
- The maximal metabolic steady state in running
Jones, A.M. et al. (2019). Sports Medicine, 49(7), 1019-1035.
- Péronnet, F. & Thibault, G. (1989). Theoretical analysis of the oxygen deficit. European Journal of Applied Physiology, 58(4), 325-330.