Paul's Law Rowing Physiology Formula

Concept2 Race Pace Predictor

Enter a single benchmark performance to project your race split, Watts, and optimal stroke rate from 500m sprints to marathon ergs using Paul's Law.

Custom meters:
Split: 1:45.0Power: 302 W

Projected Target Paces Across Distances

Projected using Paul's Law exponent 1.060. Pacing assumes even splits and proper race execution.

EventProjected TimeTarget /500m SplitPower (Watts)Suggested SPMPace Delta
500m Sprint
Peak Anaerobic Alactic Power
1:36.61:36.6388 W38 spm-8.4s
1,000m Test
Anaerobic Lactic Tolerance
3:21.41:40.7343 W34 spm-4.3s
2,000m Olympic TestBaseline
Maximal Aerobic Power (VO2max)
7:00.01:45.0302 W32 spm0.0s
5,000m Benchmark
Lactate Threshold (AnT)
18:29.31:50.9257 W28 spm+5.9s
6,000m Head Race
Aerobic Power / Autumn Head Race
22:25.91:52.2248 W26 spm+7.2s
10,000m Steady State
Aerobic Capacity (Zone 2/3)
38:32.91:55.6227 W24 spm+10.6s
21,097m Half Marathon
Metabolic Efficiency & Glycogen Spacing
1:25:03.12:00.9198 W22 spm+15.9s
42,195m Marathon
Extreme Endurance & Fat Oxidation
2:57:19.82:06.1175 W20 spm+21.1s

The Science of Paul's Law in Indoor Rowing

Paul's Law was formulated by British rowing coach Paul Smith after analyzing thousands of Concept2 ergometer scores. It expresses the physiological relationship between distance and sustainable velocity in trained rowers:

T₂ = T₁ × (D₂ / D₁)^1.06

In practical terms, for every doubling of distance (e.g. 1k to 2k, or 5k to 10k), a balanced athlete’s average 500m split will increase by approximately 5.0 seconds.

Interpreting Model Discrepancies as a Training Heuristic

Comparing your recorded benchmark splits across distances against Riegel’s projected curve provides a non-diagnostic heuristic for training tendencies:

  • Endurance Discrepancy: If your real-world 5k or 10k pace is noticeably slower than predicted relative to your 2k score, your current conditioning may reflect an anaerobic bias. Increasing low-intensity aerobic base volume (Zone 2) can help align sustained endurance with peak power.
  • Sprint Discrepancy: If your 500m sprint pace is barely faster than your 2k pace, your limiting factor is likely neuromuscular acceleration and peak force rather than aerobic endurance. Targeted power-stroke work and high-rate sprints can help raise your ceiling.

Note: Power-law formulas serve as mathematical benchmarks rather than clinical physiological diagnostics. Real-world performance depends on individual muscle fiber composition, technical efficiency, and recovery.

Automated Benchmark Forecasting

Let MyNextRow project your 2k peak taper

Our AI coach tracks every workout in your Concept2 Logbook to predict your 2k race time in real time and program precision interval targets.

Get Started Free