Cardio
Marathon Pace + Elevation Calculator
Turn a target race time on a hilly course into your average race pace and the flat-course pace that takes the same effort.
Result
Average vs flat-equivalent pace
Race-day pace vs the flat-course pace that takes the same effort.
The formula, worked through
- Formula Marathon Pace Elevation Formula
Marathon elevation pace correction: about 1.5 sec of finish time per metre climbed, 0.75 sec per metre descended (2:1 asymmetric). Daniels rule of thumb, Minetti 2002 consistent.
- Formula Riegel Race Time Formula
Riegel race time prediction: T2 = T1 × (D2/D1)^1.06. Race-time prediction across distances. Valid 5K–marathon, breaks down beyond 30K.
- Formula Marathon Sweat Rate + Electrolyte Formula
Marathon hydration: sweat rate 0.5-2.5 L/h, sodium concentration 460-1840 mg/L. Casa 2007 + ACSM 2007 standards. Replace 70-90% of losses; avoid hyponatremia.
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Estimate required daily calorie deficit for a target timeline and bodyweight change.
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Plan body-fat reduction pace, deficit targets, and protein needs around a timeline.
Background on the Marathon Pace + Elevation Calculator
- Formula Race-Week Taper Formula + Carb Loading (Burke)
Race-week taper math: cut training volume 41-60% over 8-14 days while holding intensity, then carb-load 7-12 g/kg (Burke 2011) for a ~3% faster race.
- Formula Treadmill to Outdoor Pace Conversion Formula
Treadmill grade adjustment: 0% treadmill = outdoor pace + 12 sec/km (no wind resistance). +1% grade adds ~3.3% energy cost (Jones & Doust 1996). 1-2% grade simulates outdoor effort.
Articles
- 11 min read Marathon Taper: Reduce Volume 41-60%, Keep Intensity
Marathon taper: cut volume 41-60% over two weeks, keep intensity, trim frequency 10-20% (Bosquet/Mujika 2007). The pooled performance gain was +1.96%.
- 12 min read Marathon Pace and Elevation Adjustments
Marathon pace and elevation: a validated correction for total climb / descent — Strava grade-adjusted pace, Naismith's rule, where they break.
- 7 min read Marathon Pace on a Net-Downhill Course: A Boston-Style Walkthrough
Marathon pace math for a Boston-style profile: 145m gain, 290m loss, 200-minute target. The 4:44/km flat-equivalent split and where the model breaks.
By goal
Use it from code
The same calculation as a JavaScript module you can import. It runs where you import it, with no request, key or rate limit.
import { compute } from "https://aifithub.io/engines/marathon-pace-elevation.js"; Input and output contract, TypeScript types and the guide for agents.