Elevation Pace Calculator
Calculate Grade-Adjusted Pace (GAP) accounting for uphill and downhill slope
Input Parameters
Real-time calculation updates dynamically as you adjust inputs. Values remain strictly local on your device.
Grade-Adjusted Pace (GAP)5% Uphill Effort
4:42min/km
Equivalent effort pace on flat ground
Relative Effort Factor
117%of flat terrain
Actual Surface Pace
5:30min/km
Clinical Responsibility Note: This calculation provides statistical estimations for informational and educational purposes only. It is not an individualized medical diagnosis or clinical prescription.
Mathematical Formula & Scientific Methodology
Formula: Minetti Gradient Energy Cost Model (2002)
GAP = Surface Pace / Metabolic Cost Ratio(Grade)Applies Alberto Minetti's landmark Journal of Applied Physiology polynomial equation for energy cost of walking and running at extreme slopes.
Model Assumptions
- Steady-state running
- Consistent footing
Variables & Standard Units
| Symbol | Physiological Meaning | Unit |
|---|---|---|
| Grade | Slope fraction (Rise / Run) | % |
| Cost Ratio | Physiological cost multiplier derived from oxygen consumption | ratio |
Scientific Limitations
- Technical trail descents require braking that incurs high eccentric muscle damage not captured by oxygen cost alone
Frequently Asked Questions
Related Calculators & Next Steps
Running & Pace
Pace Calculator
Calculate running or walking pace per kilometer and per mile from time and distance
Calculate now
Running & Pace
Running Pace Calculator
Dedicated running pace, speed, and standard race splits analysis
Calculate now
Running & Pace
Running Calories Calculator
Calculate exact calories burned running based on body mass and distance
Calculate now