Precision-backed tools
for your performance.
High-precision tools for runners. Race prediction, performance by age, and VO2max estimation.
Tools for performance
Race Predictor
What's my predicted marathon time based on a 5K? Using Riegel and Cameron models.
Performance by Age (WMA)
Evaluate your performance and compare it fairly across different ages and genders.
VO2max Estimator
What's my current fitness level? Estimate your aerobic capacity from a race result.
Pace Calculator
Compute pace, time or distance instantly. Supports min/km, min/mi, km/h and mph.
How it works
Race Prediction (Riegel & Cameron)
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We use two proven mathematical models. The Riegel formula (1.06 exponent) is the gold standard for endurance, while the Cameron formula adds an exponential correction for anaerobic contribution in shorter races.
Read the Race Predictor Guide →
VO2max (Daniels & Gilbert)
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Our estimator uses the Daniels & Gilbert (1979) formula, which maps your race time to a "VO2max" value based on the metabolic demand of running at that intensity.
Read the VO2max Guide →
Performance by Age
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Calculations are based on the latest 2023 World Masters Athletics (WMA) road race factors, allowing you to compare your performance against the ultimate potential of your age and sex.
Read the Performance by Age Guide →Want to track your progress?
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The Science of Running: Pace, Prediction, and Performance
Whether you are a beginner aiming for your first 5K or an experienced marathoner chasing a Boston-qualifying time, understanding the metrics behind your running is crucial for effective training. Pace — time per kilometer or mile — is how runners manage effort in real time. Unlike speed (km/h), pace tells you directly how long each kilometer will take, which is what matters on race day. Calcpace provides high-precision tools grounded in established sports science to help you translate those numbers into action.
The race predictor uses the Riegel formula (T2 = T1 × (D2/D1)^1.06), the gold standard for endurance prediction since 1977. The exponent 1.06 captures the fact that pace slows non-linearly as distance grows — a 42-min 10K runner cannot simply quadruple that pace to predict a marathon. The VO2max estimator uses the Daniels and Gilbert formula to turn any race result into an aerobic capacity estimate, giving you training zones without a lab. Age Grading (WMA 2023) compares your result against the world record standard for your age and sex, so a 50-year-old and a 25-year-old running the same time can see who is actually performing at a higher relative level.
Environmental conditions add another layer. Heat forces blood away from muscles to the skin for cooling; altitude reduces available oxygen per breath. Our environmental adjustor uses the Matthew Ely heat model and NCAA altitude formula to normalize any performance to ideal conditions (15°C, sea level), letting you compare a summer training block honestly with a cool autumn race. All these tools work together to give you a complete, evidence-based picture of your running fitness.
How does this work?
What is running pace and why does it matter more than speed?
Pace (min/km or min/mi) measures time over distance — it tells you directly how long each kilometer will take. Speed (km/h or mph) measures distance over time and is harder to apply in real time. At 5:00/km you know your 10K will take 50 minutes. At 12 km/h that is less obvious. Runners use pace because it maps directly to race planning and effort management.
How does the race time predictor work?
Enter a known race result (distance + time) and a target distance. The calculator applies the Riegel formula using your performance as a baseline. The exponent 1.06 models the non-linear relationship between distance and pace — longer races are harder per km than shorter ones. You can also compare with the Cameron formula, which applies a variable correction based on the gap between known and target distances.
What is Age Grading and why should I care?
Age Grading expresses your performance as a percentage of the world record standard for your specific age and sex (WMA 2023 factors). A 55-year-old scoring 62% on a 10K is performing at a higher relative level than a 25-year-old scoring 58% — even if the 25-year-old is faster in raw time. This makes it the only metric that lets you compare performances fairly across age groups and track lifetime athletic progress.