Karvonen Formula

Heart Rate Reserve: What It Is, How to Calculate It, and Why It Matters

Person lying in bed in the morning pressing two fingers to their neck to measure resting heart rate, fitness watch visible on wrist
Measure your resting heart rate first thing in the morning, before getting out of bed, for the most accurate reading.

What Is Heart Rate Reserve?

Heart rate reserve (HRR) is simply the difference between your maximum heart rate and your resting heart rate. If your max heart rate is 185 bpm and your resting heart rate is 58 bpm, your HRR is 127 bpm.

Heart Rate Reserve = Max Heart Rate − Resting Heart Rate

The concept was introduced by Finnish physiologist Martti Karvonen in the 1950s as part of a formula for calculating target heart rate zones. Karvonen recognized that using raw max heart rate percentages to set zones was physiologically imprecise, because the same percentage of MHR represents different levels of cardiovascular stress for people with different fitness levels.

HRR solves this by anchoring zone calculations in the actual range each person has available, not just the ceiling. It's the foundation of what's now called the Karvonen formula.

How to Calculate Your Heart Rate Reserve

You need two numbers: your maximum heart rate and your resting heart rate.

Estimating your max heart rate: The simplest method is 220 minus your age. A 40-year-old estimates 180 bpm. This formula has a ±10–12 bpm standard deviation, which is "good enough" for most training purposes without lab testing.

Measuring your resting heart rate: Measure first thing in the morning before getting out of bed. Lie still, find your pulse at your neck or wrist, and count beats for 60 seconds. Take the average of three consecutive days for accuracy. Wearables with continuous HR monitoring (Garmin, Apple Watch, Whoop) also provide accurate overnight averages.

Example — Age 40, Resting HR 62 bpm
  • Max HR = 220 − 40 = 180 bpm
  • Resting HR = 62 bpm
  • Heart Rate Reserve = 180 − 62 = 118 bpm
HRR: 118 bpm

The Karvonen Formula: Using HRR for Training Zones

Once you have your HRR, the Karvonen formula calculates target heart rates for any intensity level:

Target HR = Resting HR + (Intensity% × HRR)

For Zone 2 (fat burning aerobic zone), intensity is 60–70%. Using our example above:

Zone 2 Karvonen Calculation — Age 40, RHR 62
  • Zone 2 lower = 62 + (0.60 × 118) = 133 bpm
  • Zone 2 upper = 62 + (0.70 × 118) = 145 bpm
Zone 2: 133–145 bpm
Calculate all 5 zones using HRR Enter your age and resting heart rate — Karvonen zones calculated instantly. Free.

HRR vs. Max Heart Rate Percentage: What's the Difference?

Most consumer fitness devices and exercise charts use raw max heart rate percentage. Zone 2 is "60–70% of max HR." For a 40-year-old with MHR 180: that's 108–126 bpm. Simple.

But now compare two 40-year-olds:

MeasurePerson A (Fit)Person B (Less Fit)
Age4040
Max HR180 bpm180 bpm
Resting HR48 bpm78 bpm
HRR132 bpm102 bpm
Zone 2 (MHR%)108–126 bpm108–126 bpm
Zone 2 (Karvonen)127–140 bpm109–119 bpm

Using raw MHR%, these two people get identical zones. Using the Karvonen formula with HRR, Person A's Zone 2 is about 20 bpm higher, which correctly reflects their higher cardiovascular fitness level. For Person A, 108–126 bpm would feel like a brisk walk, not an aerobic training zone.

This is the core reason the Karvonen formula produces zones that feel right when you use them: they're calibrated to your actual physiology, not just your age.

How HRR Changes with Fitness

Max heart rate stays relatively fixed across fitness levels (it declines slowly with age but doesn't respond much to training). Resting heart rate, however, responds strongly to aerobic training.

Over weeks and months of consistent Zone 2 training, most people see their resting heart rate drop, sometimes significantly. A person who starts at 78 bpm resting might see it drop to 65 or lower after several months of regular aerobic work. This lowers the floor of their HRR calculation and increases the range.

That increasing HRR is a direct reflection of your growing aerobic base. It means your heart is pumping more blood per beat at rest (stroke volume) and needs fewer beats per minute to maintain the same output. This efficiency translates into better performance at every training zone.

HRR as a Health Marker

Research has also examined how quickly HRR drops after exercise, called heart rate reserve recovery or simply heart rate recovery. A drop of less than 12 bpm in the first minute after stopping exercise has been associated with increased cardiovascular risk in several studies. It's not a diagnostic test, but it's a metric worth knowing.

Similarly, a higher HRR at rest (due to a low resting heart rate) is consistently associated with lower all-cause mortality and better cardiovascular outcomes in large population studies. There are good physiological reasons for this: a heart that beats efficiently at rest is a heart that's adapting positively to aerobic demand.

Want to see how your HRR translates into personalized training zones? The calculator does the Karvonen math automatically, just enter your age and resting heart rate.

This article is for informational purposes only and does not constitute medical advice. Please consult a physician or certified fitness professional before starting a new exercise program.

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Your HRR powers the Karvonen formula. Enter your age and resting heart rate to see all five zones calibrated to your actual cardiovascular range.

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