Marathon Training Pace Calculator
Calculate training zone paces (easy, tempo, interval, repetition) from your goal marathon time using Daniels' VDOT methodology.
About this calculator
This calculator works backward from a goal marathon finish time to Jack Daniels' VDOT fitness score, then forward again to the training paces that score implies for five intensity zones. Estimated VDOT comes from Daniels' published velocity-to-VO2 regression (VO2 = -4.60 + 0.182258v + 0.000104v^2) applied to the average speed your goal time requires, divided by the percentage of VO2max that formula (from Daniels and Gilbert's research) predicts a runner can sustain for that duration -- a faster goal time both raises the required velocity and shortens race duration, and shorter durations sustain a higher percentage of VO2max, so Goal Marathon Hours (and, to a smaller extent, Minutes) is the input that moves VDOT the most; a lower goal time always produces a higher VDOT. From that single VDOT number, the calculator derives five training paces using percentages of VDOT velocity drawn from Daniels' published training-zone ranges: Easy around 65% (his cited range is roughly 59-74% of VO2max), Tempo around 86% (cited 83-88%), Interval around 98% (cited 95-100%), and Repetition around 110% (cited 105-120%), plus a Marathon-effort pace computed directly from the goal time. Because every zone scales off the same VDOT figure, the five paces always move together -- improving your goal time tightens every training pace proportionally, not just the marathon pace itself.
This is a physiology-based estimate, not a guarantee: real-world race performance depends on training history, pacing strategy, course profile, weather, and race-day execution, and the Daniels model itself is a population-level regression rather than a measurement of your individual VO2max. Daniels' velocity-to-VO2 regression was built from data on trained distance runners, so it's best trusted across a genuine running pace. At the slow end of the goal-time range this calculator allows -- a 7-hour-plus marathon works out to roughly an 18-minute mile, close to a brisk walk or run/walk pace -- the formula is extrapolating well outside the running paces it was calibrated on, so treat Estimated VDOT and the derived training paces as increasingly rough at very slow goal times, not as reliable a predictor as they are for a genuine sustained-running goal pace.
Inputs
Results
Estimated VDOT
44.6
Figures current as of 2022. Source: Jack Daniels, Daniels' Running Formula, 4th Edition (Human Kinetics, 2022)
How to Use This Calculator
- Enter your Goal Marathon finish time in Hours, Minutes, and Seconds.
- Your VDOT score is automatically estimated from your goal time.
- Review Easy Pace, Marathon Pace, Tempo Pace, Interval Pace, and Repetition Pace in both miles and kilometers.
- Use these paces to structure all training runs in your marathon plan.
- Adjust goal time to explore different training pace scenarios.
How the result changes with Goal Marathon Hours
| Goal Marathon Hours | Estimated VDOT |
|---|---|
| 2 | 66.3 |
| 2.25 | 59.3 |
| 4.5 | 28.7 |
| 7 | 16.7 |
What each input means
- Goal Marathon Hours
- Hours portion of your target marathon finish time. Elite runners finish around 2 hours, most recreational runners 3.5-5 hours.
- Goal Marathon Minutes
- Minutes portion of your target marathon finish time (0-59).
- Goal Marathon Seconds
- Seconds portion of your target marathon finish time (0-59).
What each result means
- Estimated VDOT
- Daniels' VDOT score representing your current aerobic fitness level.
How this is calculated
Worked example, using the default values
- Identify Input ParametersGoal Marathon Hours = 3, Goal Marathon Minutes = 30, Goal Marathon Seconds = 0 = 3 input(s) provided
- Calculate Estimated VDOTEstimated VDOT44.6 = 44.6
- Calculate Easy PaceEasy Pace = formatPace(easyPaceMile)9:35 = 9:35
- Calculate Easy PaceEasy Pace = formatPace(easyPaceKm)5:57 = 5:57
Figures and sources
- VDOT velocity-to-VO2 regression and training-pace percentages (2022) — Jack Daniels, Daniels' Running Formula, 4th Edition (Human Kinetics, 2022)
Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does a faster Goal Marathon time produce a higher Estimated VDOT?
VDOT is derived from the average speed your goal time requires and the percentage of VO2max research suggests a runner can sustain for that race duration. A faster goal time both demands a higher average velocity and shortens how long you'd need to sustain it, and shorter efforts sustain a higher percentage of VO2max -- both effects push Estimated VDOT up, so cutting your goal time by any amount always raises it, never lowers it.
Why do all five training paces change together when I adjust my goal time?
Every training pace -- Easy, Marathon, Tempo, Interval, and Repetition -- is derived from percentages of the same single Estimated VDOT figure, following Daniels' published training-zone ranges (roughly 59-74% of VO2max for Easy up through 105-120% for Repetition). Because they all scale off one shared number, tightening your goal marathon time raises VDOT and proportionally tightens every training pace at once, not just the marathon-effort pace itself.
What do the Easy, Tempo, Interval, and Repetition zones actually mean?
They're the intensity zones from Jack Daniels' VDOT training system, each targeting a different physiological adaptation: Easy pace builds aerobic base at a comfortable effort, Tempo (or threshold) pace trains lactate clearance at a "comfortably hard" effort, Interval pace targets VO2max itself, and Repetition pace develops speed and running economy at paces faster than race pace, run for short, well-rested efforts.
How accurate is the Estimated VDOT compared to a lab-measured VO2max test?
It's a population-level estimate derived purely from your goal finish time, not a direct physiological measurement -- an actual VO2max test in an exercise-science lab measures your real oxygen uptake under load. Two runners with identical goal times can have different true fitness levels depending on running economy, pacing ability, and race conditions, so treat the training paces here as a well-grounded starting point to adjust based on how workouts actually feel, not an exact prescription.
Is Estimated VDOT still reliable for a very slow goal time, like 6-7 hours?
Less so. Daniels' velocity-to-VO2 regression was built from data on trained distance runners at genuine running paces, and a 7-hour-plus marathon goal works out to roughly an 18-minute mile -- close to a brisk walk or run/walk pace rather than sustained running. At that end of the range the formula is extrapolating well beyond the paces it was calibrated on, so treat Estimated VDOT and every training pace derived from it as increasingly approximate for slower run/walk goal times, and lean more on perceived effort than on the exact numbers.
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