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Estimating body mass from silhouettes: testing the assumption of elliptical body cross-sections

Published online by Cambridge University Press:  20 May 2016

Ryosuke Motani*
Affiliation:
Department of Palaeobiology, Royal Ontario Museum, 100 Queen's Park, Toronto, Ontario M5S 2C6, Canada. ryo.motani@utoronto.ca

Abstract

In computational studies of the body mass and surface area of vertebrates, it is customary to assume that body cross-sections are approximately elliptical. However, a review of actual vertebrate cross-sections establishes that this assumption is not usually met. A new cross-sectional model using superellipses is therefore introduced, together with a scheme that allows estimates to be given with ranges. Tests of the new method, using geometrical shapes, miniature vertebrate models, and actual animals, show that the method has a high accuracy in body mass estimation. A new computer program to perform the computation is introduced. The application of the method to some Mesozoic marine reptiles suggests that the tuna-shaped ichthyosaur Stenopterygius probably had body masses comparable to those of average cetaceans of the same body length.

Type
Articles
Copyright
Copyright © The Paleontological Society 

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References

Literature Cited

Alexander, R. M. 1985. Mechanics of posture and gait of some large dinosaurs. Zoological Journal of the Linnean Society 83: 125.CrossRefGoogle Scholar
Alexander, R. M. 1998. All-time giants: the largest animals and their problems. Palaeontology 41:12311245.Google Scholar
Andrews, C. W. 1915. Note on a mounted skeleton of Ophthalmosaurus icenicus Seeley. Geological Magazine, new series, 6:145146.CrossRefGoogle Scholar
Barr, A. H. 1981. Superquadrics and angle-preserving transformations. IEEE Computer Graphics and Applications 1:1123.Google Scholar
Best, P. B. 1988. The external appearance of Heaviside's dolphin, Cephalorhynchus heavisidii (Gray, 1828). Report of International Whaling Commission, Special Issue 9:279299.Google Scholar
Bose, N.Lien, J. 1989. Propulsion of a fin whale (Balaenoptera physalus): why the fin whale is a fast swimmer. Proceedings of the Royal Society of London B 237:175200.Google Scholar
Bose, N.Lien, J.Ahia, J. 1990. Measurements of the bodies and flukes of several cetacean species. Proceedings of the Royal Society of London B 242:163173.Google Scholar
Brown, D. S. 1981. The English Upper Jurassic Plesiosauroidea (Reptilia) and a review of the phylogeny and classification of the Plesiosauria. Bulletin of the British Museum (Natural History), Geology 35:253347.Google Scholar
Bryant, H. N.Russell, A. P. 1992. The role of phylogenetic analysis in the inference of unpreserved attributes of extinct taxa. Philosophical Transactions of the Royal Society of London B 337:405418.Google Scholar
Colbert, E. C. 1962. The weights of dinosaurs. American Museum Novitates 2076:116.Google Scholar
Cong, L.Hou, L.Wu, X.Hou, J. 1998. The gross anatomy of Alligator sinensis Fauvel. Science Press, Beijing. [In Chinese.]Google Scholar
Dewar, H.Graham, J. B.Brill, R. 1994. Studies of tropical tuna swimming performance in a large water tunnel. II. Thermoregulation. Journal of Experimental Biology 192:3344.Google Scholar
Fish, F. E. 1993. Power output and propulsive efficiency of swimming bottlenose dolphins (Tursiops truncatus). Journal of Experimental Biology 185:179193.Google Scholar
Fish, F. E. 1998. Comparative kinematics and hydrodynamics of odontocete cetaceans: morphological and ecological correlates with swimming performance. Journal of Experimental Biology 201:28672877.CrossRefGoogle ScholarPubMed
Fujino, K. 1955. On the body weight of the Sei Whales located in the Adjacent Waters of Japan (II). Scientific Reports of the Whales Research Institute, Tokyo, Japan 10:133141.Google Scholar
Gardner, M. 1965. The “superellipse”: a curve that lies between the ellipse and the rectangle. Scientific American 1965(21):222236.Google Scholar
Gihr, M.Pilleri, G. 1968. On the anatomy and biometry of Stenella styx Gray and Delphinus delphis L. (Cetacea, Delphinidae) of the Western Mediterranean. Investigations of Cetacea 1:1565.Google Scholar
Gihr, M.Pilleri, G.Zhou, K. 1979. Cephalization of the Chinese River Dolphin Lipotes vexillifer (Platanistoidea, Lipotidae). Investigations of Cetacea 10:257274.Google Scholar
Gilbert, S. G. 1968. Pictorial anatomy of the cat. University of Washington Press, Seattle.Google Scholar
Graigie, Horne, E. 1966. A laboratory guide to the anatomy of the rabbit, 2d ed.University of Toronto Press, Toronto.Google Scholar
Gregory, W. K. 1905. The weight of the Brontosaurus. Science, new series, 22(566):572.Google Scholar
Hauff, B.Hauff, R. B. 1981. Das Holzmadenbuch. Repro-Druck GmbH, Fellbach.Google Scholar
Henderson, D. M. 1999. Estimating the masses and centers of mass of extinct animals by 3-D mathematical slicing. Paleobiology 25:88106.Google Scholar
Massare, J. A. 1988. Swimming capabilities of Mesozoic marine reptiles: implications for method of predation. Paleobiology 14:187205.Google Scholar
Mori, O.Ogawa, T.Ouchi, H.Mori, T. 1982. Anatomy 1. Kimbara Press, Tokyo. [In Japanese.]Google Scholar
Motani, R.Rothschild, B. M.Wahl, W. Jr. 1999. Large eyeballs in diving ichthyosaurs. Nature 402:747.Google Scholar
Murayama, T.Kasamatsu, F. 1996. Kokomade wakatta iruka to kujira. [We know this much about whales and dolphins.] Kodansha Bluebacks, Tokyo. [In Japanese.]Google Scholar
Nishiwaki, M.Hayashi, K. 1950. Biological investigation of Fin and Blue Whales taken in the Antarctic season 1947–48 by the Japanese fleet. Scientific Reports of the Whales Research Institute, Tokyo, Japan 3:132190.Google Scholar
Nishiwaki, M.Oye, T. 1951. Biological investigation of Blue Whales (Balaenoptera musculus) and Fin Whales (Balaenoptera physalus) caught by the Japanese Antarctic whaling fleets. Scientific Reports of the Whales Research Institute, Tokyo, Japan 5:91167.Google Scholar
Ohno, M.Fujino, K. 1952. Biological investigation on the whales caught by the Japanese Antarctic whaling fleets, season 1950/1951. Scientific Reports of the Whales Research Institute, Tokyo, Japan 7:125188.Google Scholar
Pilleri, G.Gihr, M. 1976a. On the embryology of Platanista gangetica. Investigations of Cetacea 7:4564.Google Scholar
Pilleri, G.Gihr, M. 1976b. On the embryology of the La Plata Dolphin Pontoporia blainvillei. Investigations of Cetacea 7:6589.Google Scholar
Pilu, M.Fisher, R. B. 1995. Equal-distance sampling of superellipse models. Proceedings of the British Machine Vision Conference 1:257266.Google Scholar
Rosin, P. L.West, G. A. W. 1995. Curve segmentation and representation by superellipses. IEEE Proceedings on Visual Image Signal Process 142:280288.Google Scholar
Schmidt-Nielsen, K. 1997. Animal physiology: adaptation and environment, 5th ed.Cambridge University Press, Cambridge.Google Scholar
Skrovan, R. C.Williams, T. M.Berry, P. S.Moore, P. W.Davis, R. W. 1999. The diving physiology of bottlenose dolphins (Tursiops truncatus). II. Biomechanics and changes in buoyancy at depth. Journal of Experimental Biology 202:27492761.Google ScholarPubMed
Vogel, S. 1994. Life in moving fluids: the physical biology of flow, 2d ed.Princeton University Press, Princeton, N.J.Google Scholar
Walker, W. F.Homberger, D. G. 1992. Vertebrate dissection, 8th ed.Saunders College Publishing, Forth Worth, Tex.Google Scholar
Williston, S. W. 1910. A mounted skeleton of Platecarpus. Journal of Geology 18:537541.Google Scholar
Witmer, L. M. 1995. The extant phylogenetic bracket and the importance of reconstructing soft tissues in fossils. Pp. 1933in Thomason, J. J., ed. Functional morphology in vertebrae paleontology. Cambridge University Press, Cambridge.Google Scholar