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Research Article

The birth of a dinosaur footprint: Subsurface 3D motion reconstruction and discrete element simulation reveal track ontogeny

View ORCID ProfilePeter L. Falkingham and Stephen M. Gatesy
  1. aStructure and Motion Laboratory, Department of Comparative Biomedical Sciences, Royal Veterinary College, Hatfield AL97TA, United Kingdom; and
  2. bDepartment of Ecology and Evolutionary Biology, Brown University, Providence, RI 02912

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PNAS first published December 8, 2014; https://doi.org/10.1073/pnas.1416252111
Peter L. Falkingham
aStructure and Motion Laboratory, Department of Comparative Biomedical Sciences, Royal Veterinary College, Hatfield AL97TA, United Kingdom; and
bDepartment of Ecology and Evolutionary Biology, Brown University, Providence, RI 02912
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  • ORCID record for Peter L. Falkingham
  • For correspondence: pfalkingham@rvc.ac.uk
Stephen M. Gatesy
bDepartment of Ecology and Evolutionary Biology, Brown University, Providence, RI 02912
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  1. Edited by Neil H. Shubin, The University of Chicago, Chicago, IL, and approved October 30, 2014 (received for review August 22, 2014)

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Significance

We reconstructed the 3D foot movements of guineafowl traversing a granular substrate from biplanar X-rays, and then incorporated those kinematics into a discrete element simulation. Digital track models permitted visualization of in vivo track formation at the surface and at virtual bedding planes for the first time. Application of these volumetric data to fossil dinosaur tracks uncovered the developmental origin of previously enigmatic features. A “track ontogeny” perspective helps integrate limb and substrate dynamics into the interpretation of track morphology, from which foot anatomy cannot be read directly.

Abstract

Locomotion over deformable substrates is a common occurrence in nature. Footprints represent sedimentary distortions that provide anatomical, functional, and behavioral insights into trackmaker biology. The interpretation of such evidence can be challenging, however, particularly for fossil tracks recovered at bedding planes below the originally exposed surface. Even in living animals, the complex dynamics that give rise to footprint morphology are obscured by both foot and sediment opacity, which conceals animal–substrate and substrate–substrate interactions. We used X-ray reconstruction of moving morphology (XROMM) to image and animate the hind limb skeleton of a chicken-like bird traversing a dry, granular material. Foot movement differed significantly from walking on solid ground; the longest toe penetrated to a depth of ∼5 cm, reaching an angle of 30° below horizontal before slipping backward on withdrawal. The 3D kinematic data were integrated into a validated substrate simulation using the discrete element method (DEM) to create a quantitative model of limb-induced substrate deformation. Simulation revealed that despite sediment collapse yielding poor quality tracks at the air–substrate interface, subsurface displacements maintain a high level of organization owing to grain–grain support. Splitting the substrate volume along “virtual bedding planes” exposed prints that more closely resembled the foot and could easily be mistaken for shallow tracks. DEM data elucidate how highly localized deformations associated with foot entry and exit generate specific features in the final tracks, a temporal sequence that we term “track ontogeny.” This combination of methodologies fosters a synthesis between the surface/layer-based perspective prevalent in paleontology and the particle/volume-based perspective essential for a mechanistic understanding of sediment redistribution during track formation.

  • footprint
  • dinosaur
  • locomotion
  • discrete element method
  • XROMM

Footnotes

  • ↵1To whom correspondence should be addressed. email: pfalkingham{at}rvc.ac.uk.
  • Author contributions: P.L.F. and S.M.G. designed research, performed research, analyzed data, and wrote the paper.

  • The authors declare no conflict of interest.

  • This article is a PNAS Direct Submission.

  • This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1416252111/-/DCSupplemental.

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Track ontogeny
Peter L. Falkingham, Stephen M. Gatesy
Proceedings of the National Academy of Sciences Dec 2014, 201416252; DOI: 10.1073/pnas.1416252111

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Track ontogeny
Peter L. Falkingham, Stephen M. Gatesy
Proceedings of the National Academy of Sciences Dec 2014, 201416252; DOI: 10.1073/pnas.1416252111
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