Relationships between dimensionless models of ammonoid shell morphology

• Autorzy: Parent H. , Bejas M. , Greco A. , Hammer O.
• Języki publikacji: EN

Abstrakty

EN

In morphological studies the shape may be conveniently quantified by relative dimensions or dimensionless quantities. The analyses of shell morphology and morphospace occupation have been historically approached mainly by means of statistical analysis on classical dimensions (distance measurements: diameter, umbilical width, whorl width, whorl height and apertural whorl height), the Raup’s coiling and expansion rate parameters and, more recently, by means of the ADA−model which conjugates the classical variables in a single simple equation. Relationships between these studies should be possible based on mathematical equivalences between classical dimensions and those of coiling and expansion rates. These equivalences, which are presented in this paper, have been obtained on the basis of the ADA−model and a new general method for deriving dimensionless models of morphology based on exponential trajectories as a function of a rotational angle.

Słowa kluczowe

EN

relationship; dimensionless model; ammonoid; shell morphology; ADA model

• Wydawca: -
• Czasopismo: Acta Palaeontologica Polonica
• Rocznik: 2012
• Tom: 57
• Numer: 2
• Opis fizyczny: p.445-447,fig.,ref.

Twórcy

autor

Parent H.

• Laboratorio de Paleontología, IFG−FCEIA, Universidad Nacional de Rosario, Pellegrini 250, 2000 Rosario, Argentina

autor

Bejas M.

autor

Greco A.

autor

Hammer O.

Bibliografia

• Dommergues, J.−L., Laurin, B., and Meister, C. 1996. Evolution of ammonoid morphospace during the Early Jurassic radiation. Paleobiology 22: 219–240.
• Parent, H. and Greco, A.F. 2007. An “Equation of state” for the morphology of Jurassic ammonites: a multidimensional law based on classical dimensions. Revue de Paléobiologie 26: 41–53.
• Parent, H., Greco, A.F., and Bejas, M. 2010. Size−shape relationships in the Mesozoic planispiral ammonites. Acta Palaeontologica Polonica 55: 85–98.
• Raup, D.M. 1966: Geometric analysis of shell coiling: general problems. Journal of Paleontology 40: 1178–1190.
• Raup, D.M. 1967. Geometric analysis of shell coiling: coiling in ammonoids. Journal of Paleontology 41: 43–65.
• Thierry, J. 1978. Le genre Macrocephalites au Callovien inferieur (Ammonites, Jurassique moyen). Mémoires Géologiques de l’Université de Dijon 4: 1–491.