Dynamic similarity and the peculiar allometry of maximum running speed

Abstract Animal performance fundamentally influences behaviour, ecology, and evolution. It typically varies monotonously with size. A notable exception is maximum running speed; the fastest animals are of intermediate size. Here we show that this peculiar allometry results from the competition betwe...

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Main Authors: David Labonte, Peter J. Bishop, Taylor J. M. Dick, Christofer J. Clemente
Format: Article
Language:English
Published: Nature Portfolio 2024-03-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-46269-w
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author David Labonte
Peter J. Bishop
Taylor J. M. Dick
Christofer J. Clemente
author_facet David Labonte
Peter J. Bishop
Taylor J. M. Dick
Christofer J. Clemente
author_sort David Labonte
collection DOAJ
description Abstract Animal performance fundamentally influences behaviour, ecology, and evolution. It typically varies monotonously with size. A notable exception is maximum running speed; the fastest animals are of intermediate size. Here we show that this peculiar allometry results from the competition between two musculoskeletal constraints: the kinetic energy capacity, which dominates in small animals, and the work capacity, which reigns supreme in large animals. The ratio of both capacities defines the physiological similarity index Γ, a dimensionless number akin to the Reynolds number in fluid mechanics. The scaling of Γ indicates a transition from a dominance of muscle forces to a dominance of inertial forces as animals grow in size; its magnitude defines conditions of “dynamic similarity“ that enable comparison and estimates of locomotor performance across extant and extinct animals; and the physical parameters that define it highlight opportunities for adaptations in musculoskeletal “design” that depart from the eternal null hypothesis of geometric similarity. The physiological similarity index challenges the Froude number as prevailing dynamic similarity condition, reveals that the differential growth of muscle and weight forces central to classic scaling theory is of secondary importance for the majority of terrestrial animals, and suggests avenues for comparative analyses of locomotor systems.
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spelling doaj.art-65b0de1d8c4743d4bd1f6674d719507f2024-03-17T12:31:24ZengNature PortfolioNature Communications2041-17232024-03-0115111110.1038/s41467-024-46269-wDynamic similarity and the peculiar allometry of maximum running speedDavid Labonte0Peter J. Bishop1Taylor J. M. Dick2Christofer J. Clemente3Department of Bioengineering, Imperial College LondonMuseum of Comparative Zoology, Harvard UniversitySchool of Biomedical Sciences, University of QueenslandSchool of Biomedical Sciences, University of QueenslandAbstract Animal performance fundamentally influences behaviour, ecology, and evolution. It typically varies monotonously with size. A notable exception is maximum running speed; the fastest animals are of intermediate size. Here we show that this peculiar allometry results from the competition between two musculoskeletal constraints: the kinetic energy capacity, which dominates in small animals, and the work capacity, which reigns supreme in large animals. The ratio of both capacities defines the physiological similarity index Γ, a dimensionless number akin to the Reynolds number in fluid mechanics. The scaling of Γ indicates a transition from a dominance of muscle forces to a dominance of inertial forces as animals grow in size; its magnitude defines conditions of “dynamic similarity“ that enable comparison and estimates of locomotor performance across extant and extinct animals; and the physical parameters that define it highlight opportunities for adaptations in musculoskeletal “design” that depart from the eternal null hypothesis of geometric similarity. The physiological similarity index challenges the Froude number as prevailing dynamic similarity condition, reveals that the differential growth of muscle and weight forces central to classic scaling theory is of secondary importance for the majority of terrestrial animals, and suggests avenues for comparative analyses of locomotor systems.https://doi.org/10.1038/s41467-024-46269-w
spellingShingle David Labonte
Peter J. Bishop
Taylor J. M. Dick
Christofer J. Clemente
Dynamic similarity and the peculiar allometry of maximum running speed
Nature Communications
title Dynamic similarity and the peculiar allometry of maximum running speed
title_full Dynamic similarity and the peculiar allometry of maximum running speed
title_fullStr Dynamic similarity and the peculiar allometry of maximum running speed
title_full_unstemmed Dynamic similarity and the peculiar allometry of maximum running speed
title_short Dynamic similarity and the peculiar allometry of maximum running speed
title_sort dynamic similarity and the peculiar allometry of maximum running speed
url https://doi.org/10.1038/s41467-024-46269-w
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