Theoretical Modeling of Ammonoid Morphology

  • Takashi Okamoto
Part of the Topics in Geobiology book series (TGBI, volume 13)

Abstract

Theoretical morphology, which was first developed by Raup and Michelson (1965). is a means of describing the morphological spectra of extant and fossil organisms using a mathematical growth model. Raup (1966, 1967) simulated the three-dimensional morphology and growth pattern of marginally growing molluscan shells by several simple parameters and reproduced these shell shapes with the aid of computer graphics. His approach can be applied not only to interpret the functional and adaptive constraints of morphology but also to analyze morphogenesis. With the recent development of the computer and its graphic techniques, the theoretical morphological approach becomes useful for understanding the morphology of extant and extinct animals including ammonoids.

Keywords

Shell Growth Shell Morphology Neutral Buoyancy Life Orientation Body Chamber 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Ackerly, S. C., 1987, Using “local” coordinates to analyze shell form in molluscs (abstract), Geol. Soc. Am. Abstr. Progs. 19: 566.Google Scholar
  2. Ackerly, S. C., 1989, Kinematics of accretionary shell growth, with examples from brachiopods and molluscs, Paleobiology 15: 147–164.Google Scholar
  3. Bayer, U., 1978, Morphologic programs, instabilities, and evolution: A theoretical study, N. lb. Geol. Paläont. Abh. 156: 226–261.Google Scholar
  4. Burnaby, T. P., 1966, Allometric growth of ammonoid shells: A generalization of the logarithmic spiral, Nature 209: 904–906.CrossRefGoogle Scholar
  5. Chamberlain, J. A., Jr., 1976, Flow patterns and drag coefficients of cephalopod shells, Palaeontology (Lond.) 19: 539–563.Google Scholar
  6. Chamberlain, J. A., Jr., 1981, Hydromechanical design of fossil cephalopods, in: The Ammonoidea, Systematics Association Special Volume 18 ( M. R. House and J. R. Senior, eds.), Academic Press, London, pp. 289–336.Google Scholar
  7. Chamberlain, J. A., Jr., and Westermann, G. E. G., 1976, Hydrodynamic properties of cephalopod shells, Paleobiology 2: 316–331.Google Scholar
  8. Checa, A., 1991, Sectorial expansion and shell morphogenesis in molluscs, Lethaia 24: 97–114.CrossRefGoogle Scholar
  9. Denton, E. F., and Gilpin-Brown, J. B., 1966, On the buoyancy of the pearly Nautilus, J. Mar. Biol. Assoc. U.K. 46: 723–759.CrossRefGoogle Scholar
  10. Diener, C., 1912, Lebensweise and Verbreitung der Ammoniten, N. Jb. Mineral. Geol. Paläontol. 2: 67–89.Google Scholar
  11. Ebel, K., 1983, Berechnungen zur Schwebefähigkeit von Ammoniten, N. Jb. Geol. Paläontol. Mon a tsh. 1983: 614–640.Google Scholar
  12. Ebel, K., 1985, Gehäusespirale and Septenform bei Ammoniten unter der Annahme vagil benthischer Lebensweise, Paläontol. Z. 59: 109–123.Google Scholar
  13. Ebel, K., 1990, Swimming abilities in ammonites and limitations, Paläontol. Z. 64: 25–37.Google Scholar
  14. Ebel, K., 1992, Mode of life and soft body shape of heteromorph ammonites, Lethaia 25: 179–193.CrossRefGoogle Scholar
  15. Heptonstall, W. B., 1970, Buoyancy control in ammonoids, Lethaia 3: 317–328.CrossRefGoogle Scholar
  16. Illert, C., 1987, Formulation and solution of the classical problem. I. Shell geometry, Nuovo Cimento 9: 791–813.CrossRefGoogle Scholar
  17. Illert, C., 1989, Formulation and solution of the classical problem. II. Tubular three-dimensional seashell surfaces, Nuovo Cimento 11: 761–780.CrossRefGoogle Scholar
  18. Jacobs, D. K., 1992, Shape. drag, and power in ammonoid swimming, Paleobiology 18: 203–220.Google Scholar
  19. Matsumoto, T., 1977, Some heteromorph ammonites from the Cretaceous of Hokkaido, Mem. Fac. Sci. Kyushu Univ. Ser. D, Geol. 23: 303–366.Google Scholar
  20. McGhee, G. R., 1978, Analysis of the shell torsion phenomenon in the Bivalvia, Lethaia 11: 315–329.CrossRefGoogle Scholar
  21. McGhee, G. R., 1980, Shell form in the biconvex articulate Brachiopoda: A geometric analysis, Paleobiology 6: 57–76.Google Scholar
  22. Merkt, J., 1966, Über Austern and Serperin als Epöken auf Ammonitengehäusen, N. Jb. Geol. Paldontol. Abh. 125: 467–479.Google Scholar
  23. Moore, R. C., Lalicker, O., and Fischer, A., 1952, Invertebrate Fossils. McGraw-Hill, New York.Google Scholar
  24. Moseley, H., 1838, On the geometrical forms of turbinated and discoid shells, Phil. Trans. R. Soc. Lond. 1838: 351–370.Google Scholar
  25. Okamoto, T., 1984, Theoretical morphology of Nipponites (a heteromorph ammonoid), Fossils (Kaseki), Palaeontol. Soc. Jpn. 36: 37–51Google Scholar
  26. Okamoto, T., 1986, Analysis of morphology in heteromorph ammonites, Abstr. Ann. Meet. Palaeontol. Soc. Jpn. 1986: 34Google Scholar
  27. Okamoto, T., 1988a, Analysis of heteromorph ammonoids by differential geometry, Palaeontology (Lond.) 31: 35–52.Google Scholar
  28. Okamoto, T., 1988b, Changes in life orientation during the ontogeny of some heteromorph ammonoids, Palaeontology (Lond.) 31: 281–294.Google Scholar
  29. Okamoto, T., 1988c, Developmental regulation and morphological saltation in the heteromorph ammonite Nipponites, Paleobiology 14: 272–286.Google Scholar
  30. Okamoto, T., 1989, Comparative morphology of Nipponites and Eubostrychoceras (Cretaceous nostoceratids), Trans. Proc. Palaeont. Soc. Jpn N.S. 265: 117–139.Google Scholar
  31. Raup, D. M., 1966, Geometric analysis of shell coiling: General problems, J. Paleontol. 40: 1178–1190.Google Scholar
  32. Raup, D. M., 1967, Geometric analysis of shell coiling: coiling in ammonoids, J. Paleontol. 41: 43–65.Google Scholar
  33. Raup, D. M., and Chamberlain, J. A., Jr., 1967, Equation for volume and center of gravity in ammonoid shells, J. Paleontol. 41: 566–574.Google Scholar
  34. Raup, D. M., and Michelson, A., 1965, Theoretical morphology of the coiled shell, Science 147: 1294–1295.PubMedCrossRefGoogle Scholar
  35. Rex, M. A., and Boss. K. J., 1976, Open coiling in recent gastropods, Malacologia 15: 289–297.Google Scholar
  36. Reyment, R. A., 1958, Some factors in the distribution of fossil cephalopods. Stockholm Contrib. Geol. 1: 97–184.Google Scholar
  37. Saunders, W. B., and Shapiro, E. A., 1986, Calculation and simulation of ammonoid hydrostatics, Paleobiology 12: 64–79.Google Scholar
  38. Saunders, W. B., and Swan, A. R. H., 1984, Morphology and morphologic diversity of mid-Carboniferous (Namurian) ammonoids in time and space, Paleobiology 10: 195–228.Google Scholar
  39. Savazzi, E., 1985, SELLGEN a BASIC program for the modeling of molluscan shell ontogeny and morphogenesis, Comput. Geosci. 11: 521–530.CrossRefGoogle Scholar
  40. Savazzi. E., 1987. Geometric and functional constraints on bivalve shell morphology, Lethaia 23: 195–212.CrossRefGoogle Scholar
  41. Savazzi, E., 1990, Biological aspect of theoretical shell morphology, Lethaia 23: 195–212.CrossRefGoogle Scholar
  42. Swan, A. R. H., and Saunders, W. B., 1987, Function and shape in late Paleozoic (mid-Carboniferous) ammonoids, Paleobiology 13: 297–311.Google Scholar
  43. Tanabe, K., 1975, Functional morphology of Otoscaphites puerculus (Jimbo), an Upper Cretaceous ammonite, Trans. Proc. Palaeont. Soc. Jpn. N.S. 99: 109–132.Google Scholar
  44. Tanabe, K., 1977, Functional evolution of Otoscaphites puerculus (Jimbo) and Scaphites plan us (Yabe), Upper Cretaceous ammonites, Mem. Fac. Sci. Kyushu Univ. D. Geol. 23: 367–407.Google Scholar
  45. Tanabe, K., Obata, I., and Futakami, M., 1981, Early shell morphology in some Upper Cretaceous heteromorph ammonites, Trans. Proc. Palaeontol. Soc. Jpn. N.S. 124: 215–234.Google Scholar
  46. Tasch, P., 1973, Paleobiology of the Invertebrates, John Wiley and Sons, New York.Google Scholar
  47. Thompson, D. W., 1942, On Growth and Form, Cambridge University Press, Cambridge.Google Scholar
  48. Trueman, A. E., 1941, The ammonite body-chamber, with special reference to the buoyancy and mode of life of the living ammonite, Q. J. Geol. Soc. (Land.) 96: 339–383.CrossRefGoogle Scholar
  49. Ward, P. D., and Westermann, G. E. G., 1977, First occurrence, systematics, and the functional morphology of Nipponites (Cretaceous Lytoceratina) from the Americas, J. Paleontol. 51: 367–372.Google Scholar
  50. Yabe, H., 1904, Cretaceous Cephalopoda from the Hokkaido, Part 2, J. Coll. Sci. Imp. Univ. Tokyo 20: 1–45.Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Takashi Okamoto
    • 1
  1. 1.Department of Earth SciencesEhime UniversityMatsuyama 790Japan

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