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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.

11 min read
Written by Run Regimen Editorial Team
Reviewed by Run Regimen Methodology Review
Updated June 20, 2026

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.

ProtocolDistancesAccuracyBest for
Two-point3K + 5KModerateQuick field estimate
Three-point1 mi + 3K + 5KHigherSerious training planning
Race-basedRecent race resultsVariableRunners who race frequently

CS vs Other Thresholds

MetricWhat it measuresTypical duration
Critical speedHeavy-severe intensity boundary (model)Often near 30-60 min effort
Lactate threshold (LT2)Blood lactate accumulation45-75 min
VDOT T paceDaniels threshold training pace20-40 min intervals
Marathon paceRace-specific sustainable pace2-5 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 Calculator
Training note: This guide is educational content. Adapt pacing, workload, and recovery to your training history, injury status, and current health.

Editorial references

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