Karvonen Formula

Heart Rate Reserve (HRR) & Karvonen Formula: Calculate Your Training Zones

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.
Table of Contents
  1. What Is Heart Rate Reserve?
  2. How to Calculate Your Heart Rate Reserve
  3. The Karvonen Formula: Using HRR for Training Zones
  4. HRR vs. Max Heart Rate Percentage: What's the Difference?
  5. How HRR Changes with Fitness
  6. HRR as a Health Marker
  7. Frequently Asked Questions

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 the max-HR ceiling alone. 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 account for your actual physiology, not your age alone.

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, as shown in landmark research published in the New England Journal of Medicine. 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. Enter your age and resting heart rate.

Frequently Asked Questions

What is a good heart rate reserve?

A larger heart rate reserve is generally associated with better cardiovascular fitness. HRR is the difference between your max heart rate and resting heart rate. A fit 35-year-old with a resting HR of 50 bpm has an HRR of about 135 bpm (185 − 50), while a sedentary peer with a resting HR of 80 bpm has an HRR of only 105 bpm. The same MHR produces a larger usable training range for the fitter individual.

Does heart rate reserve change with fitness?

Yes: as aerobic fitness improves, resting heart rate typically decreases. Since MHR stays relatively fixed, a lower resting HR means a larger heart rate reserve. This is one of the reasons why fitter athletes have better zone granularity and why the Karvonen formula produces more differentiated zones for trained individuals.

What is the difference between heart rate reserve and max heart rate?

Max heart rate is the absolute ceiling: the fastest your heart can beat. Heart rate reserve is the usable range: max heart rate minus resting heart rate. HRR is a better measure of cardiovascular capacity than raw MHR because it accounts for baseline. Two people with the same MHR but different resting HRs have very different cardiovascular ranges to work with.

Can heart rate reserve predict fitness level?

HRR is a reasonable proxy for cardiovascular fitness. Larger HRR (driven by a lower resting heart rate) tends to correlate with better aerobic capacity. Some research also uses heart rate reserve recovery: how quickly HRR drops in the 1–2 minutes after exercise, as a predictor of cardiovascular health. A drop of less than 12 bpm in the first minute post-exercise has been associated with higher cardiovascular risk.

Why does the Karvonen formula use heart rate reserve instead of max heart rate?

Using HRR instead of raw MHR accounts for each person's unique baseline. Two people of the same age have the same estimated MHR, but if one has a resting HR of 50 and the other 75, calculating zones as a simple percentage of MHR gives them identical targets despite very different cardiovascular fitness levels. The Karvonen formula anchors zone calculations in the actual range each person has to work with, producing zones that correspond more accurately to real metabolic thresholds.

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.

Calculate Your Karvonen Zones

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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