Hostname: page-component-7dd5485656-c8zdz Total loading time: 0 Render date: 2025-10-29T17:42:25.129Z Has data issue: false hasContentIssue false
  • English
  • Français

Shell coiling in some larger foraminifera: general comments and problems

Published online by Cambridge University Press:  08 February 2016

Miquel De Renzi
Miquel De Renzi*
Affiliation:
Departament de Geologia (Secció de Paleontologia), Facultat de Ciències Biològiques, Universitat de València, 46100 Burjassot (València), Spain
Get access Rights & Permissions [Opens in a new window]

Abstract

The logistic model provides a useful geometric description of coiling for larger Foraminifera. This model represents a spiral in polar coordinates by means of a logistic equation. The model describes the spires of the genera Alveolina, Nummulites, and Assilina very well. The logistic model is a consequence of allometric growth in these genera. The spires of Nummulites do not fit the logarithmic spiral model well, because the model does not accommodate ontogenetic change of form. Computer simulations using the logistic model also show the very different morphologies of the genus Alveolina. The model allows study of geometrical constraints on test form and of pathways followed by the evolution of the genus (or genera). The logistic model describes ontogenetic change in the organism's functional requirements. The main physiological requirements are nourishment, general exchanges of matter and energy with the environment, and light for the photosynthetic symbionts that live in the cytoplasm of these larger Foraminifera. All these functions require suitable area/volume ratios, that mandate changes of form during growth. The possible biological meaning of the parameters of the model is explored. The use of the more meaningful parameters is proposed in statistical multivariate studies.

Information

Type
Articles
Information
Paleobiology , Volume 14 , Issue 4 , Fall 1988 , pp. 387 - 400
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.)

Article purchase

Temporarily unavailable

References

Literature Cited

Alberch, P., Gould, S. J., Oster, G. F., and Wake, D. B. 1979. Size and shape in ontogeny and phylogeny. Paleobiology 5:296–317.CrossRefGoogle Scholar
Bayer, U. 1978. A growth model for Foraminifera. Neues Jahrbuch für Geologie und Paläontologie Abhandlungen 157:65–69.Google Scholar
Berger, W. H. 1969. Planktonic Foraminifera: basic morphology and ecologic implications. Journal of Paleontology 43:1369–1383.Google Scholar
Blondeau, A. 1972. Les Nummulites. Librairie Vuibert; Paris. 255 pp.Google Scholar
Blondeau, A., Abdelmalik, W., and Boukhary, M. 1982. Détermination de Nummulites par l'étude du changement du pas de la spire. Revue de Micropaléontologie 25:12–16.Google Scholar
Brasier, M. D. 1982. Architecture and evolution of the foraminiferid test—a theoretical approach. Pp. 1–41. In Banner, F. T., and Lord, A. R. (eds.), Aspects of Micropalaeontology. George Allen and Unwin; London.Google Scholar
De Renzi, M. 1982. La forma orgànica: un pretext per establir contacte amb alguns problemes de fons de la Biologia. Pp. 351–388. In Peset, M. (ed.), Estudios dedicados a Juan Peset Aleixandre. III. Universidad de Valencia; Valencia.Google Scholar
De Renzi, M., Serra-Kiel, J., and Cuadras, C. 1979. Anàlisi de perfils. Col · loquis de la Societat Catalana de Biologia. XIII. Matemàtica i Biologia:65–69.Google Scholar
Gould, S. J. 1966a. Allometry and size in ontogeny and phylogeny. Biological Review 41:587–640.CrossRefGoogle ScholarPubMed
Gould, S. J. 1966b. Allometry in Pleistocene land snails from Bermuda: the influence of size upon shape. Journal of Paleontology 40:1131–1141.Google Scholar
Hallock, P. 1985. Why are larger Foraminifera large? Paleobiology 11:195–208.CrossRefGoogle Scholar
Hickman, C. S. 1980. Gastropod radulae and the assessment of form in evolutionary paleontology. Paleobiology 6:276–294.CrossRefGoogle Scholar
Hottinger, L. 1960. Recherches sur les Alvéolines du Paléocène et de l'Eocène. Texte (I). Mémoires suisses de Paléontologie 75:1–243.Google Scholar
Hottinger, L. 1963. Les alvéolines paléogènes, exemple d'un genre polyphylétique. Pp. 298–314. In Von Koenigswald, G. H. R., et al. (eds.), Evolutionary Trends in Foraminifera. Elsevier; Amsterdam.Google Scholar
Hottinger, L. 1977. Foraminifères operculiniformes. Mémoires du Muséum National d'Histoire Naturelle. Nouvelle Série. Sciences de la Terre XL:1–159 pp.Google Scholar
Hottinger, L. 1978. Comparative anatomy of elementary shell structures in selected larger foraminifera. Pp. 203–266. In Hedley, R. H., and Adams, C. G. (eds.), Foraminifera, 3. Academic Press; London.Google Scholar
Hottinger, L. 1982. Larger Foraminifera, giant cells with a historical background. Naturwissenschaften 69:361–371.CrossRefGoogle Scholar
Hottinger, L. 1984. Foraminifers de grand taille: signification des structures complexes de la coquille. Pp. 309–315. In Oertli, H. J. (ed.), Benthos '83. Pau and Bordeaux.Google Scholar
Huxley, J. 1972. Problems of relative growth. (Second edition, unabridged republication from 1932 edition.) Dover Publications, Inc.; New York. 312 pp.Google Scholar
Leutenegger, S. 1977. Symbiosis between larger Foraminifera and unicellular algae in the Gulf of Elat, Red Sea. Utrecht Micropaleontological Bulletins 15:241–244.Google Scholar
Leuttenegger, S. 1984. Symbiosis in benthic Foraminifera: specificity and host adaptations. Journal of Foraminiferal Research 14:16–35.CrossRefGoogle Scholar
Lotka, A. J. 1956. Elements of mathematical biology. Dover Publications, Inc.; New York. 465 pp.Google Scholar
Mangin, J. P. 1966. Les courbes de croissance chez les Operculines: notion d'espèce en paléontologie et méthode rapide de détermination. Eclogae Geologicae Helvetiae 54:347–353.Google Scholar
Márquez, L. 1983. Estudio de algunos aspectos paleobiológicos, sistemáticos y bioestratigráficos de los Foraminiferos del Eoceno inferior de la zona central de la provincia de Alicante. Colección Tesis Doctorales 63/83. Editorial de la Universidad Complutense de Madrid; Madrid. 306 pp.Google Scholar
McGhee, G. R. Jr. 1980. Shell form in the biconvex articulate Brachiopoda: a geometric analysis. Paleobiology 6:57–76.CrossRefGoogle Scholar
Morrison, D. F. 1967. Multivariate statistical methods. McGraw-Hill Book Company; New York. 338 pp.Google Scholar
Raup, D. M. 1966. Geometric analysis of shell coiling: general problems. Journal of Paleontology 40:1178–1190.Google Scholar
Raup, D. M. 1972. Approaches to morphologic analysis. Pp. 28–44. In Schopf, T. J. M. (ed.), Models in Paleobiology. Freeman, Cooper & Company; San Francisco.Google Scholar
Reichel, M. 1964. Alveolinidae. Pp.C503–C510. In Loeblich, A. R. Jr., and Tappan, H. (eds.), Treatise on Invertebrate Paleontology, Part C, Protista 2, Volume 1 (reprinted in 1978). The Geological Society of America and the University of Kansas Press; Boulder, Colorado, and Lawrence, Kansas.Google Scholar
Scott, G. H. 1974. Biometry of the foraminiferal shell. Pp. 55–151. In Hedley, R. H., and Adams, C. G. (eds.), Foraminifera. 1. Academic Press; London.Google Scholar
Seilacher, A. 1970. Arbeitskonzept zur Konstruktions-Morphologie. Lethaia 3:393–396.CrossRefGoogle Scholar
Serra-Kiel, J. 1981. Estudi sobre la sistemàtica, filogènia, bioestratigrafia i paleobiologia del grup Nummulites pernotus–N. perforatus (Conca Aquitana, Catalana i Balear). Unpublished Ph.D. Dissertation, Universitat de Barcelona. Barcelona. 534 pp.Google Scholar
Serra-Kiel, J. 1984. Estudi dels Nummulites del grup del N. perforatus (Montfort) (Conques aquitana, catalana i balear). Treballs de la Institució Catalana d'Història Natural 11:1–244.Google Scholar
Serra-Kiel, J., Reguant, S., De Renzi, M., and Cuadras, C. M. 1979. Aplicación del análisis de perfiles y canónico a las formas A de Nummulites del grupo del N. perforatus de Vic (Barcelona). Revista Española de Micropaleontología XI:279–294.Google Scholar
Thompson, D'A. W. 1942. On growth and form. (Second edition, reprinted in 1972.) Cambridge University Press; Cambridge. 1116 pp.Google Scholar
Towe, K. M. and Cifelli, R. 1967. Wall structure in the calcareous Foraminifera: crystallographic aspects and a model for calcification. Journal of Paleontology 41:742–762.Google Scholar