Power and fitness

    Åstrand-Ryhming test calculator

    The Åstrand-Ryhming test estimates VO2max without an all-out effort. You ride 6 minutes at a fixed workload, average your heart rate over minutes 5 and 6, and the formula converts workload and heart rate into VO2max, corrected for age. A smart trainer in ERG mode makes it easy to do at home.

    Calculator
    Sex
    years
    kg
    W

    Suggested: 50–100 W if untrained, 100–150 W if you ride regularly.

    bpm
    bpm
    Estimated VO2max
    38.9mL/kg/min
    2.92 L/min

    Steady heart rate used: 150 bpm · Age factor: 0.87

    Fair for men aged 30–39 (about the 37th percentile, median 42.4)

    p5 · 27.2
    p25 · 35.9
    p50 · 42.4
    p75 · 49.2
    p95 · 59.8
    You: 38.9

    Fit and own a power meter? The 5-minute power method is usually more accurate →

    Åstrand-Ryhming equation with age correction (Åstrand and Ryhming, 1954; Åstrand, 1960). 1 W = 6.118 kg·m/min.

    What the Åstrand-Ryhming test is

    The Åstrand-Ryhming test is a submaximal cycle test, published by Per-Olof Åstrand and Irma Ryhming in 1954, that estimates VO2max from your heart rate at a fixed workload. You never ride to exhaustion. Instead you ride six minutes at a constant, moderate load and the test uses the link between workload, oxygen use and heart rate to predict what your maximum would be.

    It is widely used in clinics, occupational health and sports science because it is safe, quick and repeatable. For cyclists it is a useful way to track aerobic fitness in the off-season, after illness or whenever an all-out test is not a good idea. It is part of the free LeCoach cycling calculators.

    How to do the test on a bike

    You need a bike on a smart trainer in ERG mode (or any ergometer that holds a fixed wattage) and a chest strap heart rate monitor.

    1. Choose your workload. Pick a load that brings your heart rate to between 125 and 170 bpm. As a guide: men 50 to 100 W if untrained, 100 to 150 W if you ride regularly; women 50 to 75 W if untrained, 75 to 100 W if you ride regularly.
    2. Warm up for 2 to 3 minutes very easily.
    3. Ride 6 minutes at the fixed workload, at a steady cadence. The original protocol used 50 rpm on a mechanical ergometer; on a smart trainer in ERG mode any steady cadence you are comfortable with, around 60 to 80 rpm, works. Keep it the same every time you test.
    4. Note your heart rate at the end of minute 5 and minute 6. If they differ by more than 5 bpm, your heart rate has not settled yet: ride one more minute and use the last two readings.
    5. Check the range. The steady heart rate must be between 125 and 170 bpm. Below that, repeat with a higher load; above it, use a lower load.
    6. Enter workload, the two heart rates, your age, sex and weight in the calculator above.

    Do the test rested, at least two hours after a meal, without caffeine, in a cool room. Heat, caffeine, stress and fatigue all raise heart rate and make your VO2max read lower.

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    The formula

    The calculator uses the equation form of the original Åstrand-Ryhming nomogram. Workload (W) is converted to kg·m/min (1 W = 6.118 kg·m/min), and HR is your steady-state heart rate:

    • Men: VO2max (L/min) = (0.00212 × W + 0.299) ÷ (0.769 × HR − 48.5) × 100
    • Women: VO2max (L/min) = (0.00193 × W + 0.326) ÷ (0.769 × HR − 56.1) × 100

    Because maximum heart rate falls with age, the result is multiplied by an age correction factor:

    Age152535404550556065
    Factor1.101.000.870.830.780.750.710.680.65

    Ages in between are interpolated. Finally, litres per minute are divided by body weight to give mL/kg/min.

    Worked example. A 35-year-old man weighing 75 kg rides 150 W (918 kg·m/min). His heart rate is 149 bpm at minute 5 and 151 at minute 6, so 150 bpm steady. The equation gives 3.36 L/min, times the age factor 0.87 = 2.92 L/min, which is 38.9 mL/kg/min.

    How accurate is it?

    The Åstrand-Ryhming test is a good tool for tracking change in the same person under the same conditions. As a single absolute value it has clear limits:

    • It assumes an average maximum heart rate for your age. If your real maximum is much higher than average, the test underestimates your VO2max; if it is lower, it overestimates.
    • Trained endurance athletes are often underestimated. The equation was calibrated on young, mostly untrained adults, and it fits very fit riders less well. For fit cyclists with a power meter, the 5-minute power method is usually more accurate.
    • Beta blockers and some other medications change heart rate and make the test invalid.
    • Day-to-day heart rate varies with sleep, hydration, temperature and stress by several beats, which moves the result.

    Typical error for an individual is in the range of 10 to 15 %. That is fine for "am I fitter than three months ago?" and not fine for "is my VO2max 52 or 55?".

    When to use this test

    • Off-season or base phase, when you want a fitness check without breaking your training rhythm.
    • Returning from illness or injury, when an all-out effort is not advised.
    • Riders new to structured training, who cannot yet pace a maximal test well.
    • Regular check-ins, for example once a month, always with the same workload, the same trainer and at the same time of day. A falling heart rate at the same workload is a clear sign your aerobic fitness is improving, even before you work out VO2max.

    If you are fit and own a power meter, the VO2 max calculator with a 5-minute effort gives a better number. If you want to train with heart rate afterwards, set your zones in the heart rate zone calculator.

    LeCoach reads your resting heart rate, HRV and sleep from Intervals.icu every morning, so you can see whether a test on a given day reflects your fitness or simply a tired week.

    Sources

    • Åstrand PO, Ryhming I. A nomogram for calculation of aerobic capacity (physical fitness) from pulse rate during submaximal work. Journal of Applied Physiology, 1954;7(2):218-221.
    • Åstrand I. Aerobic work capacity in men and women with special reference to age. Acta Physiologica Scandinavica, 1960;49(Suppl 169).
    • Equation form and age factors as published by Topend Sports, Astrand-Rhyming cycle ergometer test.

    Frequently asked questions

    How do you calculate VO2max from the Åstrand-Ryhming test?

    Ride 6 minutes at a fixed workload, average your heart rate over minutes 5 and 6, and enter the workload, heart rate, age, sex and weight in the equation. The result is multiplied by an age factor and divided by body weight. The calculator above does all steps.

    What workload should I use for the Åstrand test?

    Choose a load that brings your steady heart rate to 125 to 170 bpm. For men that is usually 100 to 150 W if you ride regularly and 50 to 100 W if not; for women 75 to 100 W if you ride regularly and 50 to 75 W if not.

    Why must my heart rate be between 125 and 170 bpm?

    The equation relies on a roughly linear relationship between heart rate and oxygen uptake. Below about 125 bpm, nerves, caffeine and posture affect heart rate too much. Above 170 bpm, you are too close to your maximum for the prediction to hold.

    Is the Åstrand-Ryhming test accurate for cyclists?

    It is reliable for tracking your own changes over time when you repeat it under the same conditions. For a single value, expect an error of 10 to 15 %, and expect fit cyclists to be underestimated. Cyclists with a power meter get a better estimate from a 5-minute all-out test.

    Can I do the Åstrand test on a smart trainer?

    Yes. Use ERG mode so the trainer holds the wattage, use a chest strap for heart rate and keep the cadence steady. Use the same trainer and the same workload each time so results are comparable.

    Is it Åstrand-Ryhming or Astrand Rhyming?

    The correct spelling is Åstrand-Ryhming, after Per-Olof Åstrand and Irma Ryhming. "Astrand Rhyming" is a common misspelling; it refers to the same test.

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