ArticlePloS one2018
A minimal power model for human running performance.
Article in PloS one, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Article
- Special endurance coefficients enable the evaluation of running performance.Scientific reports · 2025Article
- Sex-specific characteristics of special endurance and performance potential in female runners.BMC research notes · 2025Article
- Performance prediction equation for the Valencia Marathon based on time and pacing in the half marathon.Frontiers in physiology · 2025Article
- Accuracy of smartwatches in predicting distance running performance.Frontiers in sports and active living · 2025Article
- An empirical model for world record running speeds with distance, age, and sex: anaerobic and aerobic contributions to performance.Journal of applied physiology (Bethesda, Md. : 1985) · 2024Article
- Evolution of world running record performances for men and women: physiological characteristics.Frontiers in physiology · 2024Article
- Estimation of horizontal running power using foot-worn inertial measurement units.Frontiers in bioengineering and biotechnology · 2023Article
- Connected model to optimize performance.Frontiers in sports and active living · 2022Article
- Mechanical Power in Endurance Running: A Scoping Review on Sensors for Power Output Estimation during Running.Sensors (Basel, Switzerland) · 2020Article
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Authors and funding
3 authors.
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Abstract
Models for human running performances of various complexities and underlying principles have been proposed, often combining data from world record performances and bio-energetic facts of human physiology. The purpose of this work is to develop a novel, minimal and universal model for human running performance that employs a relative metabolic power scale. The main component is a self-consistency relation for the time dependent maximal power output. The analytic approach presented here is the first to derive the observed logarithmic scaling between world (and other) record running speeds and times from basic principles of metabolic power supply. Our hypothesis is that various female and male record performances (world, national) and also personal best performances of individual runners for distances from 800m to the marathon are excellently described by this model. Indeed, we confirm this hypothesis with mean errors of (often much) less than 1%. The model defines endurance in a way that demonstrates symmetry between long and short racing events that are separated by a characteristic time scale comparable to the time over which a runner can sustain maximal oxygen uptake. As an application of our model, we derive personalized characteristic race speeds for different durations and distances.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.