Coupling length: a generalized gleno-acetabular distance measurement for interpreting the size and gait of quadrupedal trackmakers

Abstract The gleno-acetabular distance D GA , a conventional proxy for the size of a quadrupedal trackmaker, is often estimated as the distance GA between the midpoint between a left and right pair of pes tracks and the midpoint between a selected pair of left and right manus tracks. While frequentl...

Full description

Bibliographic Details
Main Authors: Kent A. Stevens, Scott Ernst, Daniel Marty
Format: Article
Language:English
Published: SpringerOpen 2022-05-01
Series:Swiss Journal of Geosciences
Subjects:
Online Access:https://doi.org/10.1186/s00015-022-00418-9
_version_ 1811235487789088768
author Kent A. Stevens
Scott Ernst
Daniel Marty
author_facet Kent A. Stevens
Scott Ernst
Daniel Marty
author_sort Kent A. Stevens
collection DOAJ
description Abstract The gleno-acetabular distance D GA , a conventional proxy for the size of a quadrupedal trackmaker, is often estimated as the distance GA between the midpoint between a left and right pair of pes tracks and the midpoint between a selected pair of left and right manus tracks. While frequently used to estimate trackmaker size from fossil trackways, the relationship between GA and D GA depends upon the gait (which is unknown for extinct trackmakers), and is subject to multiple additional sources of uncertainty including which specific pair of manus tracks to associate with a given pair of pes tracks. Here a generalization is introduced, termed coupling length, which does not require any presumption about trackmaker gait of the degree of overstepping. On the contrary, a systematic analysis of a trackway in terms of coupling length can permit estimation of both the size and the gait with which the trackmaker progressed. Coupling length can be computed at successive points along a trackway, allowing exploration of a range of hypothetical gaits and body sizes for the trackmaker responsible. A fitness function quantifying persistent variation in coupling length along a trackway is used to indicate whether a given trackway could have been created by a fairly consistent gait, and if so, a range of high-fitness solution gaits and their associated D GA . The method was applied to selected quasi-regular sauropod trackways and a solution found for a narrow range of gaits with limb phase of about 0.3 and D GA  = 1.6 ± 0.2 m. This is the first estimation of sauropod trackmaker gait, and introduces a novel method by which irregularity along a trackway is used as a source of information to constrain inferences of trackmaker behavior. The computed D GA for this sauropod suggests significantly smaller trackmakers than conventional estimations based on track dimensions and hip height estimates. Size estimation by this approach offers greatly reduced uncertainty compared to conventional estimates.
first_indexed 2024-04-12T11:51:38Z
format Article
id doaj.art-81e5ecb79d5145b9802ed46f784dea8f
institution Directory Open Access Journal
issn 1661-8726
1661-8734
language English
last_indexed 2024-04-12T11:51:38Z
publishDate 2022-05-01
publisher SpringerOpen
record_format Article
series Swiss Journal of Geosciences
spelling doaj.art-81e5ecb79d5145b9802ed46f784dea8f2022-12-22T03:34:09ZengSpringerOpenSwiss Journal of Geosciences1661-87261661-87342022-05-01115112710.1186/s00015-022-00418-9Coupling length: a generalized gleno-acetabular distance measurement for interpreting the size and gait of quadrupedal trackmakersKent A. Stevens0Scott ErnstDaniel Marty1Department of Computer and Information Science, University of OregonNaturhistorisches Museum BaselAbstract The gleno-acetabular distance D GA , a conventional proxy for the size of a quadrupedal trackmaker, is often estimated as the distance GA between the midpoint between a left and right pair of pes tracks and the midpoint between a selected pair of left and right manus tracks. While frequently used to estimate trackmaker size from fossil trackways, the relationship between GA and D GA depends upon the gait (which is unknown for extinct trackmakers), and is subject to multiple additional sources of uncertainty including which specific pair of manus tracks to associate with a given pair of pes tracks. Here a generalization is introduced, termed coupling length, which does not require any presumption about trackmaker gait of the degree of overstepping. On the contrary, a systematic analysis of a trackway in terms of coupling length can permit estimation of both the size and the gait with which the trackmaker progressed. Coupling length can be computed at successive points along a trackway, allowing exploration of a range of hypothetical gaits and body sizes for the trackmaker responsible. A fitness function quantifying persistent variation in coupling length along a trackway is used to indicate whether a given trackway could have been created by a fairly consistent gait, and if so, a range of high-fitness solution gaits and their associated D GA . The method was applied to selected quasi-regular sauropod trackways and a solution found for a narrow range of gaits with limb phase of about 0.3 and D GA  = 1.6 ± 0.2 m. This is the first estimation of sauropod trackmaker gait, and introduces a novel method by which irregularity along a trackway is used as a source of information to constrain inferences of trackmaker behavior. The computed D GA for this sauropod suggests significantly smaller trackmakers than conventional estimations based on track dimensions and hip height estimates. Size estimation by this approach offers greatly reduced uncertainty compared to conventional estimates.https://doi.org/10.1186/s00015-022-00418-9LocomotionTrackway analysisGait analysisQuadrupedal sizeTrackmaker identificationQuantitative ichnology
spellingShingle Kent A. Stevens
Scott Ernst
Daniel Marty
Coupling length: a generalized gleno-acetabular distance measurement for interpreting the size and gait of quadrupedal trackmakers
Swiss Journal of Geosciences
Locomotion
Trackway analysis
Gait analysis
Quadrupedal size
Trackmaker identification
Quantitative ichnology
title Coupling length: a generalized gleno-acetabular distance measurement for interpreting the size and gait of quadrupedal trackmakers
title_full Coupling length: a generalized gleno-acetabular distance measurement for interpreting the size and gait of quadrupedal trackmakers
title_fullStr Coupling length: a generalized gleno-acetabular distance measurement for interpreting the size and gait of quadrupedal trackmakers
title_full_unstemmed Coupling length: a generalized gleno-acetabular distance measurement for interpreting the size and gait of quadrupedal trackmakers
title_short Coupling length: a generalized gleno-acetabular distance measurement for interpreting the size and gait of quadrupedal trackmakers
title_sort coupling length a generalized gleno acetabular distance measurement for interpreting the size and gait of quadrupedal trackmakers
topic Locomotion
Trackway analysis
Gait analysis
Quadrupedal size
Trackmaker identification
Quantitative ichnology
url https://doi.org/10.1186/s00015-022-00418-9
work_keys_str_mv AT kentastevens couplinglengthageneralizedglenoacetabulardistancemeasurementforinterpretingthesizeandgaitofquadrupedaltrackmakers
AT scotternst couplinglengthageneralizedglenoacetabulardistancemeasurementforinterpretingthesizeandgaitofquadrupedaltrackmakers
AT danielmarty couplinglengthageneralizedglenoacetabulardistancemeasurementforinterpretingthesizeandgaitofquadrupedaltrackmakers