Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T08:36:47.864Z Has data issue: false hasContentIssue false

Theoretical morphology of bivalve shell sculptures

Published online by Cambridge University Press:  08 April 2016

Takao Ubukata*
Affiliation:
Institute of Geosciences, Shizuoka University, Oya 836, Shizuoka 422-8529, Japan. E-mail: [email protected]

Abstract

A theoretical morphologic model defining patterns of shell sculptures in Bivalvia is introduced. It is based on the displacement of sculptural elements along the growing shell margin and introduction of new sculptural elements. The kinematics of the sculptural elements are defined in terms of the following parameters: maximum speed of displacement of sculptural elements, position along the growing shell margin where a migrating element attains maximum speed, and position of the divergence axis of the riblets. Computer models successfully mimicked most of the diverse patterns of bivalve shell sculptures. Morphometric analysis revealed that the displacement speed of a sculptural element is not constant but depends on the relative position of the element on the shell margin. It was revealed that the primary component of variation in bivalve shell sculptures could be explained by variation in the displacement speed of sculptural elements around the divergence axis of riblets.

Type
Articles
Copyright
Copyright © The Paleontological Society 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Literature Cited

Checa, A. 2002. Fabricational morphology of oblique ribs in bivalves. Journal of Morphology 254:195209.CrossRefGoogle ScholarPubMed
Checa, A., and Crampton, J. S. 2002. Mechanics of sculpture formation in Magadiceramus? rangatira rangatira (Inoceramidae, Bivalvia) from the Upper Cretaceous of New Zealand. Lethaia 35:279290.CrossRefGoogle Scholar
Checa, A., and Jiménez-Jiménez, A. P. 1999. A mechanical model for rib formation in Ostreoidea. Abstracts of the Meeting on the Biology and Evolution of the Bivalvia (Malacological Society of London), p. 12.Google Scholar
Cox, L. R. 1969. Shell sculpture. Pp. N6770 in Cox, L. R. et al. Mollusca 6, Bivalvia. Part N of Moore, R. C., ed. Treatise on invertebrate paleontology. Geological Society of America, Boulder, Colo., and University of Kansas, Lawrence.Google Scholar
Ermentrout, B., Campbell, J., and Oster, G. 1986. A model for shell patterns based on neural activity. Veliger 28:369388.Google Scholar
Gunji, Y. 1990. Pigment color patterns of molluscs as an autonomous process generated by asynchronous automata. Biosystems 23:317334.CrossRefGoogle ScholarPubMed
Hayami, I. 1975. A systematic survey of the Mesozoic Bivalvia from Japan. University Museum, University of Tokyo, Bulletin 10:1249.Google Scholar
Hayami, I., and Kase, T. 1993. Submarine cave Bivalvia from the Ryukyu Islands: systematics and evolutionary significance. University Museum, University of Tokyo, Bulletin 35:1133.Google Scholar
Hayami, I., and Okamoto, T. 1986. Geometric regularity of some oblique structures in pectinid and other bivalves: recognition by computer simulations. Paleobiology 12:433449.CrossRefGoogle Scholar
Lindsay, D. 1982a. A new programmatic basis for shell pigment patterns in the bivalve mollusc Lioconcha castrensis (L.). Differentiation 21:3236.CrossRefGoogle Scholar
Lindsay, D. 1982b. Simulating molluscan shell pigment lines and states: implications for pattern diversity. Veliger 24:297299.Google Scholar
McGhee, G. R. 1999. Theoretical morphology: the concept and its applications. Columbia University Press, New York.Google Scholar
Meinhardt, H. 1984. Models for positional signaling, the threefold subdivision of segments and the pigmentation pattern of molluscs. Journal of Embryology and Experimental Morphology 83(Suppl.):289311.Google ScholarPubMed
Meinhardt, H. 1995. The algorithmic beauty of sea shells. Springer, New York.CrossRefGoogle Scholar
Meinhardt, H., and Klingler, M. 1987. A model for pattern formation on the shells of molluscs. Journal of Theoretical Biology 126:6389.CrossRefGoogle Scholar
Okamoto, T., and Fukuda, E. 1997. Computer simulation of fossil forms: theoretical morphology of parasitic limpets. Iden 51(7):4146. [In Japanese.] Google Scholar
Savazzi, E. 1998. The color patterns of cypraeid gastropods. Lethaia 31:1527.CrossRefGoogle Scholar
Savazzi, E. 2003. Pattern formation and function in paleobiology. Pp. 329343 in Sekimura, T., Noji, S., Ueno, N., and Maini, P. K., eds. Morphogenesis and pattern formation in biological systems. Springer, Tokyo.CrossRefGoogle Scholar
Savazzi, E., and Peiyi, Y. 1992. Some morphological adaptations in freshwater bivalves. Lethaia 25:195209.CrossRefGoogle Scholar
Seilacher, A. 1972. Divaricate patterns in pelecypod shells. Lethaia 5:325343.CrossRefGoogle Scholar
Seilacher, A. 1973. Fabricational noise in adaptive morphology. Systematic Zoology 22:451465.CrossRefGoogle Scholar
Seilacher, A. 1985. Bivalve morphology and function. Pp. 88101 in Broadhead, T. W., ed. Mollusks: notes for a short course. University of Tennessee, Knoxville.Google Scholar
Stanley, S. M. 1969. Bivalve mollusk burrowing aided by discordant shell ornamentation. Science 166:634635.CrossRefGoogle ScholarPubMed
Turing, A. M. 1952. The chemical basis of morphogenesis. Philosophical Transactions of the Royal Society of London B 237:3772.Google Scholar
Ubukata, T. 1997. Mantle kinematics and formation of commarginal shell sculpture in Bivalvia. Paleontological Research 1:132143.Google Scholar
Ubukata, T. 2000. Theoretical morphology of composite prismatic, fibrous prismatic and foliated shell microstructures in bivalves. Venus 59:297305.Google Scholar
Ubukata, T. 2003. Pattern of growth rate around aperture and shell form in Bivalvia: a theoretical morphological study. Paleobiology 29:480491.2.0.CO;2>CrossRefGoogle Scholar
Ubukata, T., and Nakagawa, Y. 2000. Modelling various sculptures in the Cretaceous bivalve Inoceramus hobetsensis . Lethaia 33:313329.CrossRefGoogle Scholar
Waddington, C. H., and Cowe, R. J. 1969. Computer simulation of a molluscan pigmentation pattern. Journal of Theoretical Biology 25:219225.CrossRefGoogle Scholar
Waller, T. R. 1972. The Pectinidae (Mollusca: Bivalvia) of Eniwetok atoll, Marshall Islands. Veliger 14:221264.Google Scholar
Waller, T. R. 1986. A new genus and species of scallop (Bivalvia: Pectinidae) from off Somalia, and the definition of a new tribe Decatopectinini. Nautilus 100:3946.Google Scholar