Grade Adjusted Pace
Calculator
Results
- Grade adjusted pace (seconds per km)
- 390.433005
- Energy cost (J/kg/m)
- 4.685196
- Cost ratio versus level ground
- 1.301443
- Pace change (seconds per km)
- 90.433005
Endurance training results
| Grade adjusted pace (seconds per km) | 390.433005 |
| Energy cost (J/kg/m) | 4.685196 |
| Cost ratio versus level ground | 1.301443 |
| Pace change (seconds per km) | 90.433005 |
formula-map diagram
- Grade adjusted pace (seconds per km)
- 390.433005
- Energy cost (J/kg/m)
- 4.685196
- Cost ratio versus level ground
- 1.301443
- Pace change (seconds per km)
- 90.433005
Formula breakdown
Formula
Cr(i) = 155.4i⁵ − 30.4i⁴ − 43.3i³ + 46.3i² + 19.5i + 3.6= 390.43300520833
Note
Simplified model: these are standard endurance-training formulas (Riegel, ACSM, Banister TRIMP, ACWR, Minetti gradient cost and published fuelling rates) applied to the numbers you enter. They assume even effort, typical conditions and average physiology, and ignore terrain, heat, wind, sleep, individual sweat and carbohydrate tolerance, and training history, so results are indicative planning figures, not medical or coaching advice.
More in Endurance training
See all →Frequently asked questions
What does grade-adjusted pace actually tell me?+
It converts your actual pace on hilly terrain into the equivalent effort pace on flat ground, accounting for the extra energy cost of climbing and the reduced (but not free) energy savings of descending, so you can compare hilly and flat efforts on a fair, effort-based basis.
Why doesn't downhill running fully cancel out the cost of uphill running?+
While downhill running is generally faster and less metabolically costly than flat running, it's not proportionally as beneficial as uphill running is costly, particularly at steeper grades where eccentric muscle braking increases effort again, so a hilly course with equal up and down is still typically harder than a flat one of the same distance.
How is grade factored into the adjustment formula?+
Most grade-adjusted pace formulas apply a nonlinear cost curve based on percent grade, since the energy cost of a given incline increases faster than linearly as grade steepens, and some models also account for the diminishing (and eventually reversing) benefit of very steep descents.
Why is grade-adjusted pace useful for training on hilly routes?+
It lets you evaluate whether a hilly run was actually a quality effort even if your raw pace looks slower than a flat-course run, and it allows fairer comparison of training consistency across routes with different elevation profiles rather than judging purely by raw pace.
Can grade-adjusted pace predict my flat-race time from hilly training runs?+
It gives a reasonable estimate of equivalent flat effort, but it doesn't fully capture race-specific factors like pacing strategy, taper, and race-day conditions, so it's best used as a training tool for comparing effort across runs rather than a precise flat-race time predictor.