Daniels' VDOT Training Paces Formula
Daniels' Running Formula maps a recent race time to a VDOT (similar to VO2max) then to a set of training paces. Five zones: Easy, Marathon, Threshold, Interval, Repetition. Each zone is a specific percentage of VDOT and has a different physiological target. Misclassifying pace is the most common training error: easy too fast erodes recovery, threshold too slow misses the lactate-clearance adaptation.
Formula
Copy the exact expression or work through it step by step below.
VDOT = derived_from(race_time, race_distance) [Daniels' table]
Race-time inputs: 5K, 10K, half-marathon, marathon all map to same VDOT
Training paces as % of VDOT-equivalent velocity:
Easy: 65-78% VDOT — base aerobic
Marathon: 79-83% VDOT — marathon race pace
Threshold: 86-92% VDOT — lactate clearance, 20-60 min sustainable
Interval: 95-100% VDOT — VO2max work, 3-5 min repeats
Repetition: 105-110% VDOT — neuromuscular, 200-600m repeats, full recovery Variables
VDOT
Daniels' VDOT score
Population-relative fitness score equivalent to VO2max for racing context. Derived from a recent race time using Daniels' tables (or the Riegel-based reverse-fit). Range: ~30 (slow recreational) to 85+ (elite). A 20:00 5K → VDOT 49.
easy_pace
Easy pace
Aerobic base pace. Should feel conversational. If you can't speak in full sentences, it's not easy — slow down. Builds mitochondrial density + capillarization.
threshold_pace
Threshold pace
Just-sustainable pace for ~1 hour all-out. Trains lactate clearance. Classic workouts: 4×6 min tempo, 2×20 min tempo, 6×1 km cruise intervals. Heart rate sits ~85-90% max.
interval_pace
Interval pace
VO2max-targeting pace. Sustained 3-5 min before lactate accumulates beyond clearable. Workouts: 5×3 min, 6×4 min, 4×5 min — with equal-length jog recoveries.
repetition_pace
Repetition pace
Faster than interval pace, shorter durations (90-180 s). Trains running economy, not aerobic capacity. Full recovery between reps (1:2 or 1:3 work:rest ratio).
Step By Step
- 1
Get a recent race result (≤8 weeks old). 5K, 10K, half-marathon, or marathon. Use Riegel's formula to project from a different distance if needed.
Recent 10K time: 42:30 → VDOT 47 (from Daniels' table).
- 2
Look up training paces in Daniels' VDOT table for your VDOT row.
VDOT 47 row (per km): Easy 5:11-5:34, Marathon 4:57, Threshold 4:42, Interval 4:18, Repetition 4:02.
- 3
Assign workouts to zones. Most volume is at Easy pace. Quality work is Threshold + Interval, with Repetition sprinkled in.
Weekly plan: 4 easy runs at Easy pace, 1 threshold session (4×6 min at Threshold), 1 interval session (5×4 min at Interval), 1 long run.
- 4
Recheck VDOT every 4-6 weeks. Race or time trial confirms current fitness. When VDOT rises, paces drop accordingly.
After 6 weeks of consistent training, race a 10K. 41:45 → VDOT 48 → paces tighten by ~3-5 sec/km across all zones.
- 5
Watch heart-rate ranges as a sanity check. Threshold should land 85-90% max HR; Interval 92-95%; Repetition 88-92% (lower than Interval because reps are short).
Threshold pace 4:42/km hitting 92% max HR consistently means current threshold is faster than your race-derived VDOT — re-test.
Worked Example
Recreational runner with a 42:30 10K wants weekly training paces
Recent 10K time
42:30
VDOT (Daniels' table lookup)
47
From Daniels' VDOT 47 row (per km): Easy pace: 5:11-5:34 Marathon pace: 4:57 Threshold pace: 4:42 Interval pace: 4:18 Repetition pace: 4:02
Weekly mix: 70-80% volume at Easy pace (slow!). 15-20% at Threshold or Interval (quality work). 5% at Repetition (sharpening). Half-marathon prediction from VDOT 47: ~1:35:00 (Riegel cross-check). Marathon prediction: ~3:18:00 with marathon-specific training.
Common Variations
Try These Tools
Run the numbers next
Running Pace Calculator
Calculate pace per km and mile and project race finish times from one run.
Race Time Predictor
Race Time predictor: predict finish times across 5K, 10K, half marathon, and marathon from any known race result using Riegel's formula.
VO2 Max Estimator
Estimate aerobic capacity with Cooper run, Rockport walk, or no-exercise questionnaire methods.
Sources & References
- Daniels (2014). Daniels' Running Formula (3rd ed.). — Human Kinetics — canonical VDOT methodology + tables
- Seiler (2010). What is best practice for training intensity and duration distribution in endurance athletes? — International Journal of Sports Physiology and Performance — polarized training framework
- Stöggl & Sperlich (2014). Polarized training has greater impact on key endurance variables than threshold, high intensity, or high volume training. — Frontiers in Physiology — polarized vs threshold training
- Joyner & Coyle (2008). Endurance exercise performance: the physiology of champions. — Journal of Physiology — physiological model underlying VDOT