Karvonen Formula Calculator - Target HR by Training Zone

Use the karvonen formula calculator to convert age, resting heart rate, and training intensity into a target heart rate and a full five-zone chart you can read off your watch.

Karvonen Formula Calculator

Whole years used by the Tanaka 2001 age-predicted maximum heart rate equation.

First thing in the morning, before coffee or exercise, or a 7-day average from a wrist or chest strap.

Pick the zone boundary that matches the kind of session you are planning.

Results

Target Heart Rate (selected zone)
0bpm
Maximum Heart Rate (Tanaka 2001) 0bpm
Heart Rate Reserve (HRR) 0bpm
Zone 1 low 0bpm
Zone 1 high 0bpm
Zone 2 low 0bpm
Zone 2 high 0bpm
Zone 3 low 0bpm
Zone 3 high 0bpm
Zone 4 low 0bpm
Zone 4 high 0bpm
Zone 5 low 0bpm
Zone 5 high 0bpm

What Is Karvonen Formula Calculator?

A karvonen formula calculator turns age, resting heart rate, and a training intensity into the target heart rate for a session, plus a full five-zone chart you can read off a chest strap or sports watch. The reserve method multiplies the heart rate reserve by the chosen intensity and adds the resting heart rate back. Runners, indoor cyclists, and returning exercisers use it for easy, tempo, threshold, and interval sessions.

  • Run and ride zone planning: a runner or indoor cyclist who wants a target heart rate for an easy, tempo, or VO2 max interval.
  • Returning exerciser: a person rebuilding aerobic capacity who needs a conservative zone 1 and zone 2 reading.
  • Coach programming: a coach building a week of sessions and needing the full five-zone chart on a single page.
  • Watch cross-check: a watch or chest strap owner checking whether the device zones match the Karvonen zone ladder.

The reserve method is the modern alternative to the older 220 minus age percentage of maximum heart rate approach, and it lifts the easy and tempo zones by the resting heart rate to match how the body actually responds to light and moderate exercise.

After the calculator gives the target heart rate, the Running Pace Calculator helps pair it with a running pace for an easy, tempo, or threshold session.

How Karvonen Formula Calculator Works

The calculator applies the heart rate reserve math: estimate maximum heart rate from age using the modern Tanaka 2001 equation, subtract the resting heart rate to get the reserve, then take a percentage of the reserve and add the resting heart rate back. The same math runs at the same time for every zone in the five-zone chart.

HRmax (Tanaka 2001) = 208 - (0.7 x age). HRR = HRmax - HRrest. THR at zone % = (HRR x zone%) + HRrest.
  • Age: Whole years used by the Tanaka 2001 age-predicted maximum heart rate equation.
  • Resting heart rate: Beats per minute measured first thing in the morning or a 7-day average from a wrist or chest strap.
  • Heart rate reserve: The difference between maximum and resting heart rate, the multiplier the formula applies the zone percentage to.
  • Target heart rate: Beats per minute to hold during the session, computed as (HRR x intensity) + HRrest.

The reserve method and the percentage of maximum heart rate method give similar targets at zone 3 and above, but diverge at the easy and recovery end because the reserve approach adds the resting heart rate back as a floor.

Worked Example: 30 year old, 65 bpm resting heart rate, zone 2 upper bound (70% HRR)

Age 30, resting heart rate 65 bpm, intensity 70 percent of heart rate reserve.

HRmax = 208 - (0.7 x 30) = 187. HRR = 187 - 65 = 122. THR = (122 x 0.70) + 65 = 150.4.

187 bpm HRmax, 122 bpm HRR, 150 bpm target heart rate at 70% of reserve

Hold around 150 bpm for an aerobic base run. The 65 bpm resting floor lifts the target into the upper end of zone 2.

According to Tanaka, Monahan, and Seals (AHA Journals, 2001), the age-predicted maximum heart rate is 208 minus 0.7 times age, with a standard deviation of about 10 bpm.

The Karvonen formula gives the heart rate, and the VO2 Max Calculator turns that training into a cardiorespiratory fitness number, since zone 4 and zone 5 reserve-ladder intervals are the work that raises aerobic capacity.

Key Concepts Explained

Four ideas explain why the reserve method works: the Tanaka 2001 maximum heart rate, the heart rate reserve, percent of reserve versus percent of maximum, and the five-zone chart.

Tanaka 2001 HRmax

The modern age-predicted maximum heart rate equation. The constant is 208 bpm and the slope is 0.7 bpm per year of age, which gives a tighter fit to laboratory measured HRmax than the older 220 minus age rule of thumb.

Heart rate reserve (HRR)

The difference between maximum and resting heart rate. It is the multiplier the formula applies the zone percentage to, and adding the resting heart rate back at the end sets the floor of the training range instead of zero.

Percent of HRR vs percent of HRmax

The percent of maximum method treats the resting heart rate as zero, so the easy end of the range sits well above the true resting rate. The percent of reserve method lifts the whole range by the resting heart rate, which matches how the body responds to easy and tempo sessions.

Five-zone training chart

A standard five-zone chart anchored to 50, 60, 70, 80, 90, and 100 percent of heart rate reserve. Zone 1 is recovery, zone 2 is aerobic base, zone 3 is tempo, zone 4 is threshold, and zone 5 is maximum effort. The chart is the same math run six times.

A 10 bpm drop in resting heart rate can move the heart rate reserve up by 10 bpm and shift every zone boundary up by 7 to 10 bpm at the same age.

The percent of HRR and percent of HRmax are the two standard ways to write training zones, and the Target Heart Rate Calculator runs both at the same age and resting heart rate for a cross-check against the percent-of-maximum reading.

How to Use This Calculator

Enter the three inputs, pick a zone, and read the target heart rate. The full five-zone chart underneath is the same math run for every zone boundary.

  1. 1 Enter your age: Type your age in whole years. The calculator uses the Tanaka 2001 equation.
  2. 2 Enter your resting heart rate: Measure your pulse for 60 seconds first thing in the morning for three to seven days, or use the 7-day average from a chest strap.
  3. 3 Pick the training zone: Use 50 to 60 percent of reserve for recovery, 60 to 70 percent for aerobic base, 70 to 80 percent for tempo, 80 to 90 percent for threshold, and 90 to 100 percent for VO2 max intervals.
  4. 4 Read the target heart rate: The target heart rate is the beats per minute to hold for the session. The result panel updates as soon as you change any input.
  5. 5 Compare to your watch: Set the corresponding manual zone on your sports watch or chest strap and confirm the device zone matches the calculator zone boundary.

A 30 year old with a 65 bpm resting heart rate planning a base run gets a 150 bpm target, 187 bpm HRmax, 122 bpm reserve, and zone boundaries of 126-138, 138-150, 150-163, 163-175, 175-187 bpm.

When the session is a clinical stress test, the ECG Heart Rate Calculator supports the medical reading the doctor or exercise physiologist uses alongside the zone chart.

Benefits of Using This Calculator

The reserve method standardises the heart rate math, anchors the easy and tempo zones to the resting heart rate, and gives a single page to plan a training week.

  • Targets tied to the resting floor: The reserve approach adds the resting heart rate back as a floor, so easy and recovery zones match how the body responds to light exercise rather than underestimating the easy end.
  • Full five-zone chart on one page: The calculator returns the lower and upper boundary of all five zones from a single input set, so a coach or runner can plan a week of easy, tempo, threshold, and interval sessions.
  • Modern Tanaka 2001 HRmax: The age-predicted maximum heart rate uses the Tanaka 2001 equation with a 10 bpm standard deviation, which fits laboratory measured HRmax more tightly than the older 220 minus age rule of thumb.
  • Real-time watch cross-check: Reading the zone chart next to a sports watch or chest strap lets the user confirm the device zones match the calculator zones at the same age and resting heart rate.

The calculator returns the math, not a clinical test. Prescribed heart rate limits from a doctor or cardiologist should override the zone chart for diagnosed conditions, and the resting heart rate should be measured on a rested morning.

According to Mayo Clinic - Exercise intensity: How to measure it, target heart rate for a training zone uses the heart rate reserve method of HRmax minus HRrest multiplied by the target intensity plus resting heart rate, and the American Heart Association recommends a moderate zone at 50 to 70 percent of HRR and a vigorous zone at 70 to 85 percent.

Factors That Affect Your Results

A few practical factors shift the zone chart, and a few can change the same week as the session itself.

Resting heart rate accuracy

A resting heart rate measured after coffee, food, or a poor night reads 5 to 15 bpm too high. The reserve shrinks, every zone boundary drops, and the easy zones underrepresent the aerobic base. Measure on three to seven rested mornings and use the average.

Age and the Tanaka 2001 fit

The Tanaka 2001 equation has a standard deviation of about 10 bpm against laboratory measured HRmax, so a lab or field test is more accurate than the age prediction for an elite athlete or a returning exerciser.

Medication and beta blockers

Beta blockers, calcium channel blockers, and some antidepressants lower both resting and maximum heart rate. A doctor-prescribed limit should override the calculator, and the two methods can disagree by 20 bpm or more.

Heat, humidity, and altitude

Hot weather, high humidity, and altitude push the heart rate up at the same pace. The zone chart still applies, but the pace tied to each zone drops, so the runner moves slower in zone 2 and zone 3 on a hot day.

  • The age-predicted maximum heart rate has a standard deviation of about 10 bpm against laboratory measured HRmax, so the zone boundaries are a planning estimate and not a clinical test. A lab or field test gives a tighter answer for an athlete.
  • The percent of HRR and percent of HRmax methods disagree more at the easy and recovery end. The reserve method matches how the body responds to light exercise, but a device set to percent of HRmax will still read differently at zone 1 and zone 2.

Re-enter the resting heart rate whenever the average moves by 5 bpm or more, and update the age on the next birthday.

According to Karvonen, Kentala, and Mustala (1957 PubMed entry), target heart rate for a training intensity is best prescribed as a percentage of the heart rate reserve rather than as a percentage of maximum heart rate alone.

Karvonen formula calculator showing age, resting heart rate, intensity selector, target heart rate, and a five-zone chart of lower and upper bpm boundaries
Karvonen formula calculator showing age, resting heart rate, intensity selector, target heart rate, and a five-zone chart of lower and upper bpm boundaries

Frequently Asked Questions

Q: What is the Karvonen formula for target heart rate?

A: The Karvonen formula returns the target heart rate for a training intensity by multiplying the heart rate reserve (maximum heart rate minus resting heart rate) by the zone percentage and adding the resting heart rate back. With the modern Tanaka 2001 age-predicted HRmax, the formula reads THR equals HRR times zone percent plus HRrest.

Q: How do you calculate heart rate reserve?

A: Heart rate reserve is maximum heart rate minus resting heart rate, both in beats per minute. Maximum heart rate is age-predicted with the modern Tanaka 2001 equation of 208 minus 0.7 times age, and resting heart rate is measured first thing in the morning or taken as a 7-day average from a wrist or chest strap.

Q: Is the Karvonen formula more accurate than percentage of max heart rate?

A: Yes, for easy and tempo sessions. The Karvonen formula treats the resting heart rate as the floor of the training range, so the easy and recovery zones match how the body actually responds to light exercise. The percentage of maximum heart rate method treats the floor as zero and underestimates the easy end of the range by 10 to 20 bpm.

Q: What is a good resting heart rate for the Karvonen formula?

A: A typical adult resting heart rate is 60 to 80 bpm, and a trained endurance athlete can sit at 40 to 55 bpm. The Karvonen formula is most accurate when the resting heart rate is measured on three to seven rested mornings and entered as the average, because a single high reading from caffeine, stress, or a poor night of sleep can shrink the heart rate reserve and pull every zone boundary down.

Q: How do you measure resting heart rate for the Karvonen formula?

A: Measure your pulse at the wrist or neck for 60 seconds first thing in the morning, before coffee, food, or exercise, for three to seven days in a row. Use the average of those readings, or use the 7-day average resting heart rate from a wrist or chest strap, and enter that number in beats per minute.

Q: What are the five training zones from the Karvonen formula?

A: The standard five-zone chart is anchored to 50, 60, 70, 80, 90, and 100 percent of heart rate reserve. Zone 1 (50 to 60 percent) is recovery, zone 2 (60 to 70 percent) is aerobic base, zone 3 (70 to 80 percent) is tempo, zone 4 (80 to 90 percent) is threshold, and zone 5 (90 to 100 percent) is maximum effort. The Karvonen formula returns the same lower and upper bpm boundary for each zone at the same age and resting heart rate.