Variation in Center of Mass Estimates for Extant Sauropsids and its Importance for Reconstructing Inertial Properties of Extinct Archosaurs

Inertial properties of animal bodies and segments are critical input parameters for biomechanical analysis of standing and moving, and thus are important for paleobiological inquiries into the broader behaviors, ecology and evolution of extinct taxa such as dinosaurs. But how accurately can these be estimated? Computational modeling was used to estimate the inertial properties including mass, density, and center of mass (COM) for extant crocodiles (adult and juvenile Crocodylus johnstoni) and birds (Gallus gallus; junglefowl and broiler chickens), to identify the chief sources of variation and methodological errors, and their significance. High‐resolution computed tomography scans were segmented into 3D objects and imported into inertial property estimation software that allowed for the examination of variable body segment densities (e.g., air spaces such as lungs, and deformable body outlines). Considerable biological variation of inertial properties was found within groups due to ontogenetic changes as well as evolutionary changes between chicken groups. COM positions shift in variable directions during ontogeny in different groups. Our method was repeatable and the resolution was sufficient for accurate estimations of mass and density in particular. However, we also found considerable potential methodological errors for COM related to (1) assumed body segment orientation, (2) what frames of reference are used to normalize COM for size‐independent comparisons among animals, and (3) assumptions about tail shape. Methods and assumptions are suggested to minimize these errors in the future and thereby improve estimation of inertial properties for extant and extinct animals. In the best cases, 10%–15% errors in these estimates are unavoidable, but particularly for extinct taxa errors closer to 50% should be expected, and therefore, cautiously investigated. Nonetheless in the best cases these methods allow rigorous estimation of inertial properties. Anat Rec, 292:1442–1461, 2009. © 2009 Wiley‐Liss, Inc.

[1]  W Baumann,et al.  Influence of inertia on intersegment moments of the lower extremity joints. , 1997, Journal of biomechanics.

[2]  H. Cott Scientific results of an inquiry into the ecology and economic status of the Nile Crocodile (Crocodilus niloticus) in Uganda and Northern Rhodesia , 1962 .

[3]  Arnold G. Kluge,et al.  AMNIOTE PHYLOGENY AND THE IMPORTANCE OF FOSSILS , 1988, Cladistics : the international journal of the Willi Hennig Society.

[4]  David R Carrier,et al.  Scaling of rotational inertia in murine rodents and two species of lizard. , 2002, The Journal of experimental biology.

[5]  William I. Sellers,et al.  Estimating Mass Properties of Dinosaurs Using Laser Imaging and 3D Computer Modelling , 2009, PloS one.

[6]  Philip E. Martin,et al.  Estimating segment inertial properties: comparison of magnetic resonance imaging with existing methods. , 1990, Journal of biomechanics.

[7]  S. Ohno,et al.  One subspecies of the red junglefowl (Gallus gallus gallus) suffices as the matriarchic ancestor of all domestic breeds. , 1994, Proceedings of the National Academy of Sciences of the United States of America.

[8]  Limb proportions and avian terrestrial locomotion , 2002 .

[9]  D. A. Dorsett,et al.  The Integration of the Patterned Output of Buccal Motoneurones During Feeding in Tritonia Hombergi , 1979 .

[10]  D. Henderson BURLY GAITS: CENTERS OF MASS, STABILITY, AND THE TRACKWAYS OF SAUROPOD DINOSAURS , 2006 .

[11]  Laura Dekker,et al.  3D whole body scanning to determine mass properties of legs. , 2002, Journal of biomechanics.

[12]  R. Jensen,et al.  Estimation of the biomechanical properties of three body types using a photogrammetric method. , 1978, Journal of biomechanics.

[13]  P. Leva Adjustments to Zatsiorsky-Seluyanov's segment inertia parameters. , 1996 .

[14]  G. Cavagna,et al.  Mechanical work in terrestrial locomotion: two basic mechanisms for minimizing energy expenditure. , 1977, The American journal of physiology.

[15]  H. Buchner,et al.  Inertial properties of Dutch Warmblood horses. , 1997, Journal of biomechanics.

[16]  E. Berton,et al.  Influence of body segments' parameters estimation models on inverse dynamics solutions during gait. , 2006, Journal of biomechanics.

[17]  W. T. Dempster,et al.  Properties of body segments based on size and weight , 1967 .

[18]  D. Henderson,et al.  Estimating the masses and centers of mass of extinct animals by 3-D mathematical slicing , 1999, Paleobiology.

[19]  A. J. van den Bogert,et al.  Simulation of quadrupedal locomotion using a rigid body model. , 1989, Journal of biomechanics.

[20]  M. Yeadon The simulation of aerial movement--II. A mathematical inertia model of the human body. , 1990, Journal of biomechanics.

[21]  A. Russell,et al.  Craniocervical feeding dynamics of Tyrannosaurus rex , 2007, Paleobiology.

[22]  R. Reisz,et al.  Embryos of an Early Jurassic Prosauropod Dinosaur and Their Evolutionary Significance , 2005, Science.

[23]  David Lloyd,et al.  Why go bipedal? Locomotion and morphology in Australian agamid lizards , 2008, Journal of Experimental Biology.

[24]  D. Henderson,et al.  Cursoriality in bipedal archosaurs , 2000, Nature.

[25]  E. Lamm,et al.  Sizing the Jurassic theropod dinosaur Allosaurus: Assessing growth strategy and evolution of ontogenetic scaling of limbs , 2006, Journal of morphology.

[26]  A Baca Precise determination of anthropometric dimensions by means of image processing methods for estimating human body segment parameter values. , 1996, Journal of biomechanics.

[27]  H. Gunga,et al.  Body mass estimations for Plateosaurus engelhardti using laser scanning and 3D reconstruction methods , 2007, Naturwissenschaften.

[28]  Vladimir M. Zatsiorsky,et al.  The Mass and Inertia Characteristics of the Main Segments of the Human Body , 1983 .

[29]  D. Henderson Effects of stomach stones on the buoyancy and equilibrium of a floating crocodilian: a computational analysis , 2003 .

[30]  R. Jensen,et al.  Changes in segment inertia proportions between 4 and 20 years. , 1989, Journal of biomechanics.

[31]  D. Pearsall,et al.  The effect of segment parameter error on gait analysis results. , 1999, Gait & posture.

[32]  R K Jensen,et al.  The application of segment axial density profiles to a human body inertia model. , 1995, Journal of biomechanics.

[33]  Y. Li,et al.  Segment inertial properties of primates: new techniques for laboratory and field studies of locomotion. , 1996, American journal of physical anthropology.

[34]  N. Heglund,et al.  Energetics and mechanics of terrestrial locomotion. II. Kinetic energy changes of the limbs and body as a function of speed and body size in birds and mammals. , 1982, The Journal of experimental biology.

[35]  G. Luikart,et al.  Multiple maternal origins of chickens: out of the Asian jungles. , 2006, Molecular phylogenetics and evolution.

[36]  John H. Challis Precision of the Estimation of Human Limb Inertial Parameters , 1999 .

[37]  P. Costigan,et al.  Trunk density profile estimates from dual X-ray absorptiometry. , 2008, Journal of biomechanics.

[38]  Y. C. Lin,et al.  Calcium currents from jellyfish striated muscle cells: preservation of phenotype, characterisation of currents and channel localisation. , 2001, The Journal of experimental biology.

[39]  P. Christiansen,et al.  Limb proportions and avian terrestrial locomotion , 2002, Journal für Ornithologie.

[40]  L. Chèze,et al.  Adjustments to McConville et al. and Young et al. body segment inertial parameters. , 2007, Journal of biomechanics.

[41]  R. B. Srygley,et al.  CORRELATIONS OF THE POSITION OF CENTER OF BODY MASS WITH BUTTERFLY ESCAPE TACTICS , 1993 .

[42]  P. Dodson Functional and ecological significance of relative growth in Alligator , 2009 .

[43]  D. Henderson Tipsy punters: sauropod dinosaur pneumaticity, buoyancy and aquatic habits , 2004, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[44]  G. Zug Crocodilian Galloping: An Unique Gait for Reptiles , 1974 .

[45]  H. Messel Morphometric analysis of crocodylus porosus from the north coast of arnhem land northern australia , 1978 .

[46]  H Hatze,et al.  A mathematical model for the computational determination of parameter values of anthropomorphic segments. , 1980, Journal of biomechanics.

[47]  Z Ladin,et al.  A video-based system for the estimation of the inertial properties of body segments. , 1993, Journal of biomechanics.

[48]  R. Motani Estimating body mass from silhouettes: testing the assumption of elliptical body cross-sections , 2001, Paleobiology.

[49]  Jeffrey A. Reinbolt,et al.  Are Patient-Specific Joint and Inertial Parameters Necessary for Accurate Inverse Dynamics Analyses of Gait? , 2007, IEEE Transactions on Biomedical Engineering.

[50]  H K Huang,et al.  Evaluation of cross-sectional geometry and mass density distributions of humans and laboratory animals using computerized tomography. , 1983, Journal of biomechanics.

[51]  D R Carrier,et al.  Influence of rotational inertia on turning performance of theropod dinosaurs: clues from humans with increased rotational inertia. , 2001, The Journal of experimental biology.

[52]  John R Hutchinson,et al.  Biomechanical modeling and sensitivity analysis of bipedal running ability. I. Extant taxa , 2004, Journal of morphology.

[53]  R. M. Alexander,et al.  Mechanics of posture and gait of some large dinosaurs , 1985 .

[54]  An investigation of the interactions between lower-limb bone morphology, limb inertial properties and limb dynamics. , 2003, Journal of biomechanics.

[55]  R. E. Heinrich,et al.  Femoral ontogeny and locomotor biomechanics of Dryosaurus lettowvorbecki (Dinosauria, Iguanodontia) , 1993 .

[56]  Thomas E Baer,et al.  Hip joint contact force in the emu (Dromaius novaehollandiae) during normal level walking. , 2008, Journal of biomechanics.

[57]  J. Hutchinson,et al.  The three-dimensional locomotor dynamics of African (Loxodonta africana) and Asian (Elephas maximus) elephants reveal a smooth gait transition at moderate speed , 2008, Journal of The Royal Society Interface.

[58]  P. de Leva Adjustments to Zatsiorsky-Seluyanov's segment inertia parameters. , 1996, Journal of biomechanics.

[59]  R. Crompton,et al.  Inertial properties of hominoid limb segments , 2006, Journal of anatomy.

[60]  Measuring the inertial properties of cadaver segments. , 1984, Journal of biomechanics.

[61]  Victor Ng-Thow-Hing,et al.  A 3D interactive method for estimating body segmental parameters in animals: application to the turning and running performance of Tyrannosaurus rex. , 2007, Journal of theoretical biology.