Enter a recent race and time to compute your VDOT from a real result.
These paces come straight from your VDOT. Each one trains a different system, and together they prepare your body for race day. As your VDOT rises, every pace gets faster with it.
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VDOT is a performance-based measure of a runner’s current fitness. It represents a “Performance VO₂ max”: a single number that reflects both aerobic capacity and racing efficiency. As VDOT increases, predicted race times improve and training paces get faster.
Dr. Jack Daniels was an exercise physiologist, distance-running coach, author, and Olympic medalist. He won team silver in the modern pentathlon at the 1956 Olympics and team bronze in 1960, then earned a Ph.D. in exercise physiology from the University of Wisconsin in 1969. He later became one of the most influential distance-running coaches in the world.
In the 1970s, Daniels teamed up with mathematician Jimmy Gilbert to better connect physiology with real race performance. Instead of ranking runners by their VO₂ max measured in the lab, they sought to build a model based on relative performance: if two runners ran the same race time, they were treated as having the same “Performance VO₂ max”.
Dr. Jack Daniels’ most influential contribution was VDOT: a practical system that turns race performances into equivalent race predictions and personalized training paces.
VO₂ max measures the maximum rate at which your body can take in, transport, and use oxygen during hard exercise, usually expressed as milliliters of oxygen per kilogram of body weight per minute. It is often described as the size of a runner’s aerobic engine because it reflects the upper limit of the body’s oxygen-powered energy system: the lungs bring oxygen in, the heart pumps oxygen-rich blood, the blood carries it, and the muscles use it to produce energy.
Dr. Jack Daniels’ key insight was that VO₂ max did not always predict who raced fastest. Runners with similar lab scores could produce very different race times, while runners with different lab scores could perform similarly.
The team observed how much oxygen runners used at different treadmill speeds: each additional increase in speed costs disproportionately more oxygen.
The team observed how long runners could sustain their VO₂ max effort: each additional minute of the race limits the share of your full aerobic engine you can use.
VDOT is useful because it ties physiology to real race results, capturing more than oxygen capacity alone. Because it starts with what a runner actually ran, it reflects not just VO₂ max, but also running economy, pacing, race execution, and the ability to sustain effort. Their work became the Daniels-Gilbert Oxygen Power tables and was later popularized through Daniels’ Running Formula.
Today, coaches and runners use VDOT by entering a recent race result. The system returns a VDOT score, equivalent race predictions, and training paces for easy runs, threshold work, intervals, and repetition sessions.
Your plan works at three levels: each season, each week, and each day.
We count backward from race day and divide the weeks into four phases. Each phase builds on the one before it. The weeks alternate: one steps your mileage up, the next eases it back down so your body absorbs the work, and the last 2-3 weeks taper down into race day.
Hard days are spaced out with easy days and rest, so you never stack two hard efforts back to back. A typical week looks like this:
There are a couple different run types that will show up regularly each week including a variety of workouts that will help you improve your cardiovascular endurance and running economy in preparation for race day.
Each calendar day shows the distance, the target pace, and what to do during recovery in parentheses. For example, read the below as: a 6-mile session that includes five 1000-meter reps at interval pace, jogging 400 meters between each one to recover.
Pick your goal race and we set the target time from your predicted equivalents, then scale the plan to the distance. It ramps mileage safely, schedules workouts, and tapers into race day.
The details we use to personalize your plan. Update them anytime.
Dr. Jack Daniels was an exercise physiologist, distance-running coach, author, and former Olympic medalist. He won team silver in the modern pentathlon at the 1956 Olympics and team bronze in 1960, then earned a Ph.D. in exercise physiology from the University of Wisconsin in 1969. He later became one of the most influential distance-running coaches in the world, and Runner’s World named him “the world’s best running coach.”
His most influential contribution to running was VDOT: a practical way to turn race performances into equivalent race predictions and training paces.
To calculate your VDOT score, you divide your Total Aerobic Capacity by the Percentage of Aerobic Capacity you are capable of sustaining for that specific race duration.
VDOT = VO₂ Max / % VO₂ MaxThe variables inside this primary equation are determined by two separate, highly specific relationships:
This equation calculates how much oxygen (in ml/kg/min) a runner requires to move at a specific velocity (v), measured in meters per minute:
VO₂ = -4.60 + 0.182258 · v + 0.000104 · v²How They Identified The Relationship: The team put elite runners on lab treadmills and measured their oxygen consumption at various steady-state speeds. They mapped out the raw data points of velocity versus oxygen consumed and noticed that the data points formed a gentle upward curve rather than a perfectly straight line: each additional increase in speed costs disproportionately more oxygen. The team used a quadratic regression to model oxygen consumption.
This equation calculates the drop-off in a runner’s sustainable intensity based on the duration (t) of the race in minutes:
% VO₂ Max = 0.2989558 · e-0.1932605t + 0.1894393 · e-0.012778t + 0.8How They Identified The Relationship: The team observed how long runners could sustain their VO₂ max effort for a given race length and found a predictable drop-off. They mapped out a runner’s decrease in velocity over time and found an exponential decay relationship: the longer the race, the smaller the share of maximum aerobic output a runner can sustain. The team used exponential decay functions to model fatigue.
Daniels’ breakthrough leap was instead of plugging a runner’s laboratory VO₂ max score into the system, he and Gilbert used the two formulas to reverse-engineer a “Performance VO₂ Max.”
For example, if a runner finishes a 5K in exactly 20 minutes (t = 20, v = 250 m/min), the first equation says they required 47.46 ml/kg/min of oxygen. The second equation says a human can only maintain 95.2% of their maximum capability for a 20-minute effort.
By dividing the oxygen cost by the capacity factor, the math reveals that the runner performed with the efficiency and engine of someone with a 49.8 VDOT. By tying the math to real race times, the formula automatically builds in running efficiency, stride mechanics, and racing strategy, elements that traditional laboratory tubes and treadmills inherently ignore.
One caveat is that VDOT was originally built from Daniels and Gilbert’s 1970s work connecting lab physiology with race performance, so its exact calibration reflects the athletes, equipment, and racing conditions of that era. The underlying idea is still useful: use race results to estimate the aerobic fitness a runner can actually express. But because shoes, training, surfaces, and athlete populations have changed, VDOT should be treated as a practical performance index, not a timeless lab measurement.