Choose a representative performance
Use a recent race or hard time trial completed under reasonably comparable conditions.Enter known distance and time
Keep distance units consistent; this page uses kilometers and total minutes.Enter the target distance
Use the exact distance for the event you want to estimate.Adjust the exponent if desired
The default 1.06 is a general endurance assumption. A larger exponent predicts more slowing over longer distances.Review time and pace
Use the forecast as a planning range anchor rather than an exact promise.
Running Training Load Race Prediction Calculator
The Running Training Load Race Prediction Calculator projects a target race time from a known race performance using a distance-based power-law model. Enter the distance and time from a recent effort, then choose the target distance and an exponent that controls how strongly pace is expected to slow as distance increases.
The default exponent of 1.06 is a commonly used Riegel-style assumption, but individual endurance profiles differ. Treat the prediction as a scenario, not a guarantee: course elevation, weather, fueling, fatigue, training specificity, and how representative the known performance is can all move the actual result.
Calculator inputs
Where:
- Known time — total minutes for the known performance.
- Known distance — distance of the known performance in kilometers.
- Target distance — distance to predict, also in kilometers.
- Exponent — power-law endurance parameter; this calculator defaults to 1.06 but lets you change it.
Assumptions: The model assumes the known result represents current fitness and that performance scales smoothly with distance. It does not explicitly model terrain, temperature, altitude, wind, pacing errors, fueling, or event-specific training.
What the result means
The prediction is the time implied by scaling the known performance to the target distance with the selected endurance exponent.
Predictions become less reliable when known and target distances are very different or conditions are not comparable.
Given:
- Known distance: 10 km
- Known time: 50.00 min
- Target distance: 21.0975 km
- Exponent: 1.06
Calculation:
Distance ratio = 21.0975 ÷ 10 = 2.10975. Time factor = 2.10975^1.06 ≈ 2.2064. Predicted time ≈ 50 × 2.2064 = 110.32 minutes.
Result:
About 1:50:19 for the half marathon.
Interpretation:
The model projects a pace of roughly 5.23 min/km, assuming the entered 10K accurately represents current endurance.
Why is there an exponent in the formula?
The exponent allows predicted time to increase slightly faster than distance as races get longer, representing the usual loss of sustainable speed with duration.
Should I always leave the exponent at 1.06?
Not necessarily. It is a common general-purpose assumption, but individual runners can have stronger or weaker endurance across distances.
Can I predict a shorter race from a longer one?
Yes. The same formula works in either direction, although a long-race result may not capture the speed required for a much shorter event.
Why can actual race time differ substantially?
Course profile, wind, heat, fueling, pacing, fatigue, and training specificity are not explicit inputs. The forecast is a mathematical scenario based on one known performance.
Is this the same as a training-load calculator?
No. Race prediction scales a performance across distances; training load quantifies accumulated training work or exertion.