Skip to main content
Log in

Morphometrics of the callitrichid forelimb: A case study in size and shape

  • Published:
International Journal of Primatology Aims and scope Submit manuscript

Abstract

Mosimann and colleagues formulated a technique that distinguishes between size and shape, based on the concept of geometric similarity and the distinction between “log size-and-shape” and “log shape” variables. We extend these formulations in an examination of the forelimb of three callitrichid species (adultSaguinus oedipus, Saguinus fuscicollis, andCallithrix jacchus). We employ principal components analysis to explore the relationship between variance explained by size-and-shape versus shape alone. Independence of shape vectors is examined via correlation analysis. Then we use log shape data to construct intersample (species means) and total sample (between all paris of individuals) matrices of average taxonomic distances. These distance matrices are subjected to cluster analysis and principal coordinate ordinations. Results of principal components analysis suggest that after isometric size is removed, there remains sufficient shape information to discriminate among the three taxa. Careful examination and quantification of the relationships between shape and size suggest that size information (e.g., geometric mean) is fundamental for understanding shape differences within and among callitrichid species; in other words, most aspects of forelimb shape are significantly correlated with size. Contrary to conventional wisdom, we also demonstrate that such correlations are not “spurious”. Ordinations and clustering of log shape distance matrices (based on means and individuals) support the notion that, despite differences in size, the two tamarins are more similar in shape than either is toC. jacchus (despite size similarity betweenS. fuscicollis andC. jacchus). Although shape variation in the forelimb of calliirichids may have a functional component, the phylogenetic signal remains strong and serves to group individuals accordingly.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Anderson, E. A. (1936). The species problem inIris. III. The phylogenetic relationship ofIris versicolor andIris virginica.Ann. Mo. Bot. Garden 23: 471–483.

    Google Scholar 

  • Bass, W. M. (1987).Human Osteology: A Laboratory and Field Manual, 3rd ed., Special Publication No. 2, Missouri Archaeological Society, Columbia.

    Google Scholar 

  • Bookstein, F. L. (1989). “Size and shape”: A comment on semantics.Syst. Zool. 38: 173–180.

    Google Scholar 

  • Bookstein, F. L., Chernoff, B., Elder, R., Humphries, J., Smith, G., and Strauss, R. (1985).Morphometrics in Evolutionary Biology, Special Publication 15 Academy of Natural Sciences of Philadelphia.

  • Calder, W. A. (1984).Size, Function, and Life History, Harvard University Press, Cambridge, MA.

    Google Scholar 

  • Cheverud, J. (1982). Relationships among ontogenetic, static and evolutionary allometry.Am. J. Phys. Anthropol. 59: 139–149.

    PubMed  Google Scholar 

  • Cheverud, J., and Richtsmeier, J. (1986). Finite-element scaling applied to sexual dimorphism: Rhesus macaques (Macca mulatta) facial growth.Syst. Zool. 35: 109–127.

    Google Scholar 

  • Corruccini, R. S. (1973). Size and shape similarity coefficients based on metric characters.Am. J. Phys. Anthropol. 38: 743–754.

    Article  PubMed  Google Scholar 

  • Corruccini, R. S. (1987). Shape in morphometrics: comparative analyses.Am. J. Phys. Anthropol. 73: 289–303.

    Google Scholar 

  • Corruccini, R. S., Macchiarelli, R., and Bondioli, L. (1987). Le componenti di “forma” e “dimensione” in morfometria: un'analisi metodologica comparativa.Anthropol. Contemp. 10: 141–149.

    Google Scholar 

  • Darroch, J. N., and Mosimann, J. E. (1985). Canonical and principal components of shape.Biometrika 72: 241–252.

    Google Scholar 

  • Falsetti, A. B. (1986).Allometric Variation of the Postcranial Skeleton in Two South American Tamarins Saguinus oedipus oedipus and Saguinus fuscicollis illigeri (Callitichidae, Primates), Master's thesis, University of Tennessee, Knoxville.

    Google Scholar 

  • Glassman, D. M. (1983). Functional implications of skeletal diversity in two South American tamarins.Am. J. Phys. Anthropol. 61: 291–298.

    PubMed  Google Scholar 

  • Gould, S. J. (1986). Allometry and size in ontogeny and phylogeny.Biol. Rev. 41: 587–640.

    Google Scholar 

  • Gould, S. J. (1975a). Allometry in primates with emphasis on scaling and the evolution of the brain.Contrib. Primatol. 5: 244–292.

    PubMed  Google Scholar 

  • Gould, S. J. (1975b). On the scaling of tooth size in mammals.Am. Zool. 15: 351–362.

    Google Scholar 

  • Hartman, S. E. (1988). Evaluation of some alterative procedures used in numerical systematics.Syst. Zool. 37: 1–18.

    Google Scholar 

  • Howells, W. W. (1989).Skull Shapes and the Map: Craniometric Analyses in the Dispersion of Modern Homo, Papers of the Peabody Museum of Archaeology and Ethnology, Vol. 79, Harvard University, Cambridge, MA.

    Google Scholar 

  • Humphries, J., Bookstein, F., Chernoff, B., Smith, G., Elder, R., and Poss, S. (1981). Multivariate discrimination by shape in relation to size.Syst. Zool. 30: 291–308.

    Google Scholar 

  • James, F. C., and McCulloch, C. E. (1990). Multivariate statistical methods in ecology and systematics: Panacea or Pandora's box.Ann. Rev. Ecol. Syst. 211: 129–166.

    Google Scholar 

  • Jolicoeur, P. (1963a). The degree of generality of robustness inMartes americana Growth 27: 1–27.

    Google Scholar 

  • Jolicoeur, P., (1963b). The multivariate generalization of the allometry equation.Biometrics 19: 497–499.

    Google Scholar 

  • Jolicoeur, P. (1984). Principal components, factor analysis, and multivariate allometry: A small sample direction test.Biometrics 40: 685–690.

    Google Scholar 

  • Jungers, W. L. (1984). Scaling of the hominoid locomotor skeleton with specific reference to the lesser apes. In Preuschoft, H., Chivers, D., Brockelman, W., and Creel, N. (eds.),The Lesser Apes: Evolutionary and Behavioural Biology, Edinburgh University Press, Edinburgh, pp. 146–149.

    Google Scholar 

  • Jungers, W. L. (1985). Body size and scaling of limb proportions in primates. In Jungers, W. L. (ed.),Size and Scaling in Primate Biology, Plenum Press, New York, pp. 345–381.

    Google Scholar 

  • Jungers, W. L., and Harman, S. E. (1988). Relative growth of the locomotor skeleton in orang-utans and other large-bodied homonoids. In Schwartz, J. H. (ed.),Orang-utan Biology, Oxford University Press, Oxford, pp. 347–359.

    Google Scholar 

  • Jungers, W. L., Cole, T. M., III, and Owsley, D. W. (1988). Multivariate analysis of relative growth in the limb bones of Arikara Indians.Growth Dev. Aging 52: 103–107.

    PubMed  Google Scholar 

  • Lele, S. (1991). Some comments on coordinate-free and scale-invariant methods in morphometrics.Am. J. Phys. Anthropol. 85: 407–417.

    PubMed  Google Scholar 

  • Lemen, C. A. (1983). The effectiveness of methods of shape analysis.Fieldiana Zool. NS 13: 1–17.

    Google Scholar 

  • Lestrel, P. E. (1989). Some approaches toward the mathematical modeling of the craniofacial complex.J. Craniofac. Gen. Dev. Biol. 9: 77–91.

    PubMed  Google Scholar 

  • Martin, r. (1928).Lehrbuch der Anthropologie, Zeiter Band: Kraniologie, Osteologie, Verlag Gustav Fischer, Jena, Germany.

    Google Scholar 

  • Masterson, T. J., and Leutenegger, W. (1990). The ontogeny of sexual dimorphism in the cranium of Bornean orang-utans (Pongo pygmaeus pygmacus) as detected by principalcomponents analysis.Int. J. Primatol. 11: 517–539.

    Article  Google Scholar 

  • McMahon, T. A., and Bonner, J. T. (1983).On Size and Life, Scientific American Library, W. H. Freeman, New York.

    Google Scholar 

  • McKinney, M. L. (ed.) (1988).Heterochrony in Evolution: A Multidisciplinary Approach, Plenum Press, New York.

    Google Scholar 

  • Mosimann, J. E. (1970). Size allometry: Size and shape variables with characterizations of the lognormal and gamma distributions.J. Am. Stat. Assoc. 56: 930–945.

    Google Scholar 

  • Mosimann, J. E., and James, F. C. (1979). New statistical methods for allometry with application to Florida red-winged blackbirds.Evolution 33: 444–459.

    Google Scholar 

  • Mosimann, J. E., and Malley, J. D. (1979). Size and shape variables. In Orloci, L., Rao, C. R., and Stiteler, W. M. (eds.),Multivariate Methods in Ecological Work. International Cooperative, MD, pp. 175–189.

    Google Scholar 

  • Prothero, J. (1986). Methodological aspects of scaling in biology.J. Theoret. Biol. 118: 259–286.

    Google Scholar 

  • Rao, C. R. (1971). Some notes on misspecification in multiple regressions.Am. Stat. 25: 37–39.

    Google Scholar 

  • Rohlf, F. J. (1990). Morphometrics.Annu. Rev. Ecol. Syst. 21: 299–316.

    Article  Google Scholar 

  • Rohlf, F. J., and Bookstein, F. L. (eds.) (1990).Proceedings, Michigan Morphometrics Workshop, Department of Zoology, University of Michigan Press, Ann Arbor.

    Google Scholar 

  • Shea, B. T. (1985). Bivariate and multivariate growth allometry: Statistical and biological considerations.J. Zool. London 206: 367–390.

    Google Scholar 

  • Sneath, P. H. A., and Sokal, R. R. (1973).Numerical Taxonomy, Freeman, San Francisco.

    Google Scholar 

  • Susman, R. L., and Creel, N. (1979). Functional and morphological affinities of the subadult hand (O.H. 7) from Olduvai Gorge.Am. J. Phys. Anthropol. 51: 311–331.

    PubMed  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Falsetti, A.B., Jungers, W.L. & Colle, T.M. Morphometrics of the callitrichid forelimb: A case study in size and shape. International Journal of Primatology 14, 551–572 (1993). https://doi.org/10.1007/BF02215447

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02215447

Key Words

Navigation