Health, Fitness & Nutrition Heart Rate & Aerobic Fitness Testing Karvonen heart-rate reserve method

Heart Rate Zones Calculator

This calculator turns a maximum heart rate and a resting heart rate into the beat-per-minute range for every training zone, using either straight percentages of maximum heart rate or the Karvonen heart-rate reserve method. Enter a measured maximum if you have one; otherwise pick an age equation and the calculator estimates it. The two methods give genuinely different numbers for the same zone name — the reserve method sits higher at every boundary below 100% — so the page shows both the band you asked for and the arithmetic that produced it, including the zone 2 range most endurance plans are built around.

Calculator

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Inputs this calculator takes, with typical values
InputWhat to enterExample
AgeUsed only to estimate maximum heart rate; ignored if you enter a measured maximum below.40 years
Resting heart rateTake it lying still before you get out of bed, or read the overnight low from a wrist or chest monitor.60 bpm
Measured maximum heart rateEnter the highest value you have actually seen in a graded test or a maximal effort; leave it at 0 to estimate from age.0 bpm
Age equation for HRmaxWhich published age equation to use when no measured maximum is supplied.Tanaka: 208 − 0.7 × age
Zone anchoring methodReserve percentages are measured up from your resting heart rate; HRmax percentages are measured up from zero.% of heart rate reserve (Karvonen)
Zone modelFive zones is the coaching default; three zones splits training either side of the two ventilatory thresholds.Five zones (50/60/70/80/90%)

It returns

  • Maximum heart rate used — Your measured value if you entered one, otherwise the age equation you selected.
  • Heart rate reserve — HRmax minus resting heart rate — the span the Karvonen method takes percentages of.
  • Easy aerobic band — lower limit — Zone 2 in the five-zone model; the low-intensity band below VT1 in the three-zone model.
  • Easy aerobic band — upper limit
  • Threshold boundary — Start of zone 4 in the five-zone model; the VT2 boundary in the three-zone model.
  • Hard band — lower limit

The formula

HRzone=HRrest+p(HRmaxHRrest)
HRzone=pHRmax
Δ=HRrest(1p)

In plain text: Zone bpm = HRrest + p × (HRmax − HRrest)

  • HRzoneHeart rate at a zone boundary (bpm)
  • HRrestResting heart rate (bpm)
  • HRmaxMaximum heart rate, measured or age-estimated (bpm)
  • pFraction defining the boundary, e.g. 0.60 for the bottom of zone 2 (decimal)

This is the Karvonen heart-rate reserve form. The simpler %HRmax form drops the resting term entirely.

Updated Category Heart Rate & Aerobic Fitness Testing Verified against published test cases Reading time 14 min

What a heart rate zone actually is

A heart rate zone is a bracket of beats per minute that stands in for a physiological intensity you cannot see directly. What a coach cares about is where you sit relative to two thresholds: the first ventilatory threshold, above which lactate starts to accumulate faster than it clears at rest, and the second, above which it accumulates without limit and the clock starts running on the effort. Neither threshold announces itself on a watch face. Heart rate is the cheapest available proxy, so zones exist to translate a bpm reading into a training intention.

The translation is only as good as its two anchors. Every zone system needs a top of the scale, and the reserve systems need a bottom as well. Get either anchor wrong and every boundary moves with it. That is why this calculator asks for a measured maximum first and falls back to an age equation only when you do not have one — and why it tells you, in the results, which of the two it used.

The zones themselves are conventions, not constants of nature. The five-band 50/60/70/80/90% split is a coaching convention that has been in general use for decades; the three-band polarised split is a research convention that maps directly onto the two thresholds. Neither is more correct than the other. They answer different questions: the five-zone model gives you a graded intensity dial, and the three-zone model gives you a way to audit how much of your week was genuinely easy.

Percentage of maximum versus percentage of reserve

The two methods differ in where they start counting. The %HRmax method takes a fraction of your maximum measured up from zero: 60% of a 180 bpm maximum is 108 bpm. The Karvonen method takes the same fraction of your reserve — the span between resting and maximum — and adds it to your resting rate: with a resting rate of 60 bpm the reserve is 120 bpm, and 60% of the reserve puts the same boundary at 60 + 72 = 132 bpm.

The gap between the two is not a matter of opinion, and it is worth writing out because it explains every argument people have about zone 2. Subtract one from the other at the same fraction p:

[HRrest + p(HRmax − HRrest)] − p·HRmax = HRrest(1 − p)

So the reserve method sits higher by exactly your resting heart rate multiplied by one minus the fraction. At p = 0.60 with a resting rate of 60 bpm that is 24 bpm; at p = 0.90 it is 6 bpm; at p = 1.00 it is zero and the two methods agree on the maximum itself. Since your resting rate is always above zero, the reserve figure is higher at every boundary below 100% — never lower, never equal until you reach the top of the scale.

That identity has a practical consequence. Zone 2 by %HRmax for the 40-year-old in the example below runs 108–126 bpm, which for most trained people is barely above a brisk walk. Zone 2 by reserve runs 132–144 bpm, which is a recognisable easy run. If a plan says “zone 2” without saying which anchor it uses, those two readings differ by nearly a minute per kilometre of pace. Karvonen's original 1957 work anchored intensity to the reserve precisely so that people with very different resting rates got comparable relative loads, and that is the reason the reserve method is the default here.

Because the reserve method needs a resting rate, it also inherits the error in that reading — but only at the weight the identity gives it. A resting rate that reads 10 bpm high moves your zone 2 floor by (1 − 0.6) × 10 = 4 bpm, not by 10.

Worked example: a 40-year-old with a resting rate of 60 bpm

Take a 40-year-old who has never done a maximal test, with a resting heart rate of 60 bpm measured lying still on waking.

  1. Estimate the maximum. The Tanaka equation gives HRmax = 208 − 0.7 × 40 = 208 − 28 = 180 bpm. (The older 220 − age gives 180 too — the two equations cross at exactly age 40, because 220 − a = 208 − 0.7a solves to 0.3a = 12, a = 40.)
  2. Find the reserve. HRR = 180 − 60 = 120 bpm.
  3. Build the zone 2 floor by reserve. 60 + 0.60 × 120 = 60 + 72 = 132 bpm.
  4. Build the zone 2 ceiling. 60 + 0.70 × 120 = 60 + 84 = 144 bpm.
  5. Build the threshold boundary. 60 + 0.80 × 120 = 60 + 96 = 156 bpm, the bottom of zone 4.
  6. Check against the %HRmax method. 0.60 × 180 = 108 and 0.70 × 180 = 126. The differences are 132 − 108 = 24 and 144 − 126 = 18, which match HRrest(1 − p) = 60 × 0.40 = 24 and 60 × 0.30 = 18 exactly.

Reading it back: easy aerobic work for this athlete is 132–144 bpm by reserve, threshold work starts at 156 bpm, and anything above 168 bpm is in the top band where sessions are counted in minutes. If a later ramp test shows a true maximum of 189 rather than 180, every boundary moves up by 0.6 × 9 = 5.4 bpm at the zone 2 floor and by 0.9 × 9 = 8.1 bpm at the zone 5 floor.

How to read your zones once you have them

Use zone 2 as a volume container, not a target to chase. The physiological case for accumulating easy aerobic time rests on adaptations — capillary density, mitochondrial content, fat oxidation rate — that respond to duration at a sustainable intensity. If you find yourself pushing to stay inside zone 2 on a hilly route, the zone is doing its job badly; the point is that the effort remains conversational for the whole session.

Zone 3 has a reputation problem it partly deserves. In a polarised framework the band between the two thresholds is where hard sessions are not hard enough and easy sessions are not easy enough. That is a claim about training distribution, not about the band being harmful: plenty of good sessions, including marathon-pace work and long tempo efforts, live there deliberately. The three-zone view of the same athlete is the honest way to audit it, because it collapses the question to a single number — what share of your week was below VT1?

Treat the top of the scale sceptically until you have measured it. If your watch has recorded 191 bpm during a hard finish and your age equation says 180, your maximum is at least 191 and every boundary on this page is too low. Enter the measured value. Conversely, an isolated spike of 210 bpm during a cold-water swim start is usually an artefact of a wet strap or an optical sensor losing contact, not a new maximum. Look for a value you have reached and sustained for a few seconds at the end of a genuinely maximal effort.

The heart rate reserve figure is worth watching on its own. It widens as resting rate falls with training, and it narrows with age as maximum falls. It also narrows temporarily with illness, dehydration and heavy training load, which is why a resting rate 8–10 bpm above your own normal is a reasonable prompt to make the day easier. Compare it against the effort-based checks in the Cooper test VO2max calculator if you want a field measure of aerobic fitness that does not depend on heart rate at all.

The same athlete's zones under both methods

A 40-year-old with HRmax 180 bpm and resting 60 bpm, so HRR = 120 bpm. The final column is HRrest × (1 − p) evaluated at each zone floor.
ZoneFraction p%HRmax (bpm)%HRR / Karvonen (bpm)Difference at the floor
Zone 10.50–0.6090–108120–13230 bpm
Zone 20.60–0.70108–126132–14424 bpm
Zone 30.70–0.80126–144144–15618 bpm
Zone 40.80–0.90144–162156–16812 bpm
Zone 50.90–1.00162–180168–1806 bpm

Both columns end at 180 bpm because HRrest × (1 − p) is zero when p = 1. The gap shrinks steadily as the zones climb, which is why the two methods argue most about the easy end of the scale and hardly at all about the hard end.

Mistakes that produce wrong zones

  • Mixing anchors between a plan and a watch. Most training platforms default to %HRmax; most coaching literature that mentions Karvonen means reserve. Decide which one your plan uses before you copy numbers into a device.
  • Using a resting rate you did not measure at rest. A reading taken sitting at a desk is typically well above a true resting value, and under the reserve method it inflates every boundary by HRrest × (1 − p).
  • Treating an age-predicted maximum as a measurement. The scatter of individual maximums around any age line is on the order of 10–12 bpm, which is more than a whole zone is wide at the top of the scale. The max heart rate calculator shows how far four published equations disagree for your age.
  • Chasing the “fat burning zone”. The fraction of energy coming from fat is highest at low intensity, but the absolute rate of fat oxidation and the total energy cost are not, and body composition responds to total energy balance rather than to substrate mix within a session.
  • Forgetting cardiac drift. On a long session in the heat, heart rate climbs at a fixed pace and power. Holding the bpm number constant means slowing down; that is often correct, but it is a decision, not an accident.
  • Applying zones across sports without re-testing. Maximum heart rate in cycling is commonly a few beats below running for the same athlete because less muscle mass is recruited. Zones built from a treadmill test read slightly high on the bike — the FTP calculator is the better anchor for cycling intensity.

Where these conventions come from

The reserve method traces to Karvonen, Kentala and Mustala's 1957 training study, which expressed intensity as a fraction of the interval between resting and maximum heart rate. The five-zone percentage bands are a coaching convention rather than a standards-body definition — ACSM's Guidelines for Exercise Testing and Prescription prescribes intensity in terms of %HRR and %VO2R and gives classification bands for light, moderate and vigorous work rather than five numbered zones. The three-zone split used here follows the way training intensity distribution is reported in the endurance literature, with boundaries at the first and second ventilatory thresholds, commonly approximated at about 82% and 87% of maximum heart rate in group data.

When to stop using heart rate and measure something else

Heart rate lags. At the start of an interval it is still climbing while your muscles are already working at target intensity, so short repetitions — anything under about three minutes — cannot be controlled by bpm at all. Use pace, power, or rating of perceived exertion for those, and use heart rate to confirm the session afterwards rather than to steer it.

Heart rate also drifts with heat, hydration, caffeine, altitude, illness and accumulated fatigue. None of those change your zones; they change the relationship between your zones and the work you are doing. If your easy pace suddenly requires zone 3 heart rates, the sensible reading is that today is harder, not that your zones have moved.

Where a direct measure of the work exists, prefer it. Cyclists have power meters, so functional threshold power is a better anchor than heart rate and the FTP calculator handles the zone math on that scale. Runners have pace, and Jack Daniels' VDOT system converts a race result into training paces directly — the VDOT calculator and the running pace calculator cover that route. Swimmers have critical swim speed. Heart rate remains the general-purpose fallback and the only one of these that works across every sport at once, which is exactly why it is worth setting up correctly.

For a single target band rather than the whole set — the case where a rehabilitation programme or a physician has specified an intensity as a percentage of reserve — the Karvonen target heart rate calculator does the same arithmetic for one prescribed percentage.

Key terms

Heart rate reserve (HRR)
The difference between maximum and resting heart rate. It represents the range of heart rates available to you for work, and it is the span the Karvonen method divides into zones.
VT1 and VT2
The first and second ventilatory thresholds — the two breakpoints in the relationship between ventilation and work rate during a graded test. They mark the boundaries of the three-zone model and are located directly only in a laboratory or by a well-designed field test.
Cardiac drift
The gradual rise in heart rate over a prolonged steady effort at constant work rate, driven mainly by rising core temperature and falling plasma volume. It is the reason a long run finishes in a higher zone than it started in.
Polarised distribution
A training pattern in which a large majority of sessions sit below VT1 and a small minority sit above VT2, with comparatively little time between them. The three-zone model exists to make that share measurable.

Frequently asked questions

Which method should I use, %HRmax or %HRR?

Use %HRR (Karvonen) if you have a reliable resting heart rate, because it accounts for the fact that two people with the same maximum but different resting rates are not at the same relative intensity at the same bpm. Use %HRmax if your resting figure is a guess, since a wrong resting rate contaminates every reserve-based boundary. Whichever you pick, make sure your training plan uses the same one — the two differ by HRrest × (1 − p) at every boundary, which is 24 bpm at the bottom of zone 2 for a 60 bpm resting rate.

What is my zone 2 heart rate?

By the reserve method it is your resting heart rate plus 60% to 70% of your heart rate reserve; by the %HRmax method it is 60% to 70% of your maximum. For a 40-year-old with a 180 bpm maximum and a 60 bpm resting rate those come out as 132–144 bpm and 108–126 bpm respectively. The practical test is conversational: if you cannot hold a full sentence, you are above zone 2 regardless of what the arithmetic says.

How accurate is an age-estimated maximum heart rate?

It predicts the average for your age reasonably well and predicts you specifically rather poorly. Individual maximums scatter around any age line by roughly 10 to 12 bpm, so two 45-year-olds with the same predicted 176 bpm may genuinely max at 160 and 192. Since a zone is only 18 bpm wide at that maximum, an error of that size can shift you a full zone. If your zones matter to you, measure the maximum.

Why do my watch's zones differ from these?

Almost always because the watch uses a different anchor, a different maximum, or both. Most platforms default to %HRmax with an age-predicted maximum from 220 − age, while this page defaults to the reserve method with the Tanaka equation. Set the same maximum, the same resting rate and the same method in both places and the numbers agree exactly — the arithmetic is not in dispute, only the inputs.

Do heart rate zones change as I get fitter?

The boundaries move a little, but less than people expect. Maximum heart rate is largely unaffected by training, and resting heart rate typically falls, which widens the reserve and raises every reserve-anchored boundary slightly. What changes far more is the work you can do at a given heart rate: the same 140 bpm that used to be a 6:00/km run becomes a 5:20/km run. That is why re-testing pace or power matters more than re-testing zones.

Can I use these zones on a bike as well as running?

Not without adjusting the maximum. Most athletes reach a maximum heart rate on the bike a few beats below their running maximum, because cycling recruits less muscle mass, so zones built from a running test read slightly high when pedalling. Either test separately for each sport and store two maximums, or anchor cycling intensity to power instead using functional threshold power.

What does the three-zone model add?

It answers one question the five-zone model buries: what fraction of your training was genuinely easy? By collapsing everything below the first ventilatory threshold into a single band, it makes the low-intensity share of your week a number you can track. The boundaries here are set at 82% and 87% of maximum heart rate, which approximate the thresholds in group data — your own thresholds are located properly only by a laboratory test or a carefully executed field test.

Is there really a fat burning zone?

There is a range of intensities at which fat supplies its largest share of energy, and it does sit at the low end of the scale, but that fact carries less weight than the name suggests. Total energy expenditure rises with intensity, and body composition follows total energy balance over weeks rather than the substrate mix inside one session. Train easy because it is sustainable and builds the aerobic base, not because of the label.

My resting heart rate is 45 — does that change the zones much?

Under the reserve method it changes them substantially, and in the direction you would expect. With a 180 bpm maximum, dropping the resting rate from 60 to 45 widens the reserve from 120 to 135 bpm and moves the zone 2 floor from 132 to 45 + 0.6 × 135 = 126 bpm. Under the %HRmax method it changes nothing at all, because resting heart rate never enters that calculation.

References

  • Karvonen MJ, Kentala E, Mustala O. The effects of training on heart rate: a longitudinal study — Annales Medicinae Experimentalis et Biologiae Fenniae, 1957
  • Tanaka H, Monahan KD, Seals DR. Age-predicted maximal heart rate revisited — Journal of the American College of Cardiology, 2001
  • ACSM's Guidelines for Exercise Testing and Prescription, 11th edition — American College of Sports Medicine / Wolters Kluwer
  • Seiler S, Kjerland GØ. Quantifying training intensity distribution in elite endurance athletes — Scandinavian Journal of Medicine & Science in Sports, 2006