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Riegel's Power Law
Published in American Scientist · 1981
T₂ = T₁ × (D₂ / D₁)1.06
exp = 1.06 for distances up to half marathon · 1.09 for marathon
T₂ = T₁ × (D₂ / D₁)^1.06. The power law that models how physiological fatigue accumulates with distance. Validated against tens of thousands of real race results worldwide.
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Jack Daniels' VDOT System
Daniels' Running Formula · 1998
EnduranceE-paceAerobic base StaminaT-paceLactate threshold SprintR-paceNeuromuscular power The 4 training zones (Endurance, Stamina, Speed, Sprint) map exactly to the E, T, I, and R zones of the VDOT system — the gold standard for USATF coaches when prescribing training loads.
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Speed / Endurance Profile
Biomechanical ratio analysis
SPEEDBALANCEDENDURANCE
ratio: pace₄₀₀ / pace_maratón
The AI calculates the ratio between your sprint capacity (400m) and aerobic power (marathon). It determines whether you're speed-dominant, endurance-dominant, or balanced — and adjusts training recommendations accordingly.