What is estimated
Total modeled metabolic energy for a loaded walk, including the model's standing-energy term.
Enter your values, then calculate to see a verified result.
A clear calculation path based on your inputs.
Versioned calculationFormula v1.0.1
Total modeled metabolic energy for a loaded walk, including the model's standing-energy term.
Pandolf estimates can differ from measured energy expenditure and are not supported here for downhill walking.
kg · m/s · percent gradeOutput in watts1 W = 0.8598 kcal/hourThe Pandolf session estimate is .
Compare routes by changing one input at a time while keeping the others constant.
Do not treat this estimate as measured calorie burn, a food target, or a readiness decision.
Continue with your result
Thanks. Your feedback has been recorded.
Keep exploring
The team checked the published equation, unit conversions, terrain mapping, supported boundaries, gross-energy convention, limitations, and independent reference outputs.
2026-09-07 · Added team review attribution, public reference cases, and original formula and terrain diagrams.
| Case | Inputs | Expected result |
|---|---|---|
| Level firm-ground example | 80 kg body, 15 kg pack, 1.5 m/s, 0% grade, 1 hour | 447.3 W; 384.58 kcal |
| Imperial equivalence | 176.36981 lb body, 33.06934 lb pack, 3.355404 mph, 0% grade, 1 hour | 447.3 W; 384.58 kcal |
| Unloaded comparison | 80 kg body, 0 kg pack, 1.5 m/s, 0% grade, 1 hour | 390 W; 335.34 kcal |
| Unsupported downhill input | Any otherwise valid inputs with -1% grade | Rejected with a grade validation error |
Continue with the Review the Pandolf equation. See every variable, assumption, and supported boundary behind the estimate.
Continue with the Understand estimate accuracy. Compare modeled energy with validation evidence and practical uncertainty.
An 80 kg person carrying a 15 kg pack at 1.5 m/s on level firm ground uses W = 80, L = 15, V = 1.5, G = 0, and η = 1.0.
The equation returns about 447 W. Multiplying by 0.8598 gives approximately 385 kcal per hour. This is a mathematical output from the stated inputs, not a laboratory measurement for every person.
M = 1.5W + 2(W + L)(L/W)² + η(W + L)(1.5V² + 0.35VG)
The model estimate rises as walking speed, carried load, uphill grade, or terrain coefficient increases. A terrain factor is still only a simplified representation of a route.
Pack fit, load distribution, changing surfaces, weather, fatigue, walking economy, and input accuracy can all change actual expenditure.
Pandolf, Givoni, and Goldman published the original load-carriage model in 1977. A 2017 validation study found under-prediction in its tested contemporary military conditions, with error varying across speed and load combinations. This implementation therefore does not add a hidden universal correction factor.
The original linear grade term does not model downhill walking reliably. This calculator accepts level and uphill grade only and uses the documented terrain factors shown in the input menu.
Use the estimate to compare routes and planned sessions, check the full input summary, and progress training conservatively. Seek qualified guidance for pain, prior injury, medical conditions, or return-to-exercise decisions.
Stop activity and seek appropriate care for concerning symptoms such as chest pain, faintness, or unusual shortness of breath.
Calculates estimated session energy, estimated hourly energy, modeled metabolic power, and modeled moving duration from calculate from, body weight, pack load, and average moving speed with visible method, validation, precision, and limitations.
Pandolf: M = 1.5W + 2(W + L)(L/W)² + η(W + L)(1.5V² + 0.35VG). Keep the result label, unit, selected mode, and stated limitations together when sharing the answer.
There is no single reliable number per mile or hour. The estimate changes with body mass, pack load, speed, grade, terrain, and duration.
Yes, because the model includes carried load, grade, and terrain, but it remains an estimate.
No. It shows total modeled metabolic energy from the Pandolf equation, including its standing-energy term.
This implementation is for backpack load carriage; vest load distribution is outside its supported method.
From the guide library
Fitness
Use treadmill speed, incline, pack load and time correctly in a rucking calorie estimate, with clear limits for the Pandolf model.
Fitness
Compare loaded and unloaded walking estimates using the same pace, grade, terrain and duration, and understand why a single calorie multiplier is unreliable.
Fitness
Convert common rucking paces between minutes per mile, miles per hour and kilometres per hour, then use the result in a loaded-walk estimate.
No close match yetTry a shorter term or browse the categories.