Skip to main content
SpringerLink
Log in

Genetic selection and de Finetti diagrams

  • Published:
Journal of Mathematical Biology Aims and scope Submit manuscript

Summary

Simple geometric constructions with triangular coordinates are presented for handling selection processes with a single pair of autosomal alleles. The selection performed on each generation is shown to be a projective mapping which can be split into two perspective collineations. The procedure is illustrated by examples.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Aitchison, J.: A geometrical version of Bayes' theorem. Amer. Stat. 25, 45 (1971).

    Google Scholar 

  2. Cannings, C., Edwards, A. W. F.: Natural selection and the de Finetti diagram. Ann. Hum. Genet. (London) 31, 421–428 (1968).

    Google Scholar 

  3. De Finetti, B.: Considerazioni matematiche sull' ereditarietà mendeliana. Metron 6, 29–37 (1926).

    Google Scholar 

  4. Hadeler, K. P.: Mathematik für Biologen. Berlin-Heidelberg-New York: Springer 1974.

    Google Scholar 

  5. Jacquard, A.: The genetic structure of populations. Biomathematics, Vol. 5. Berlin-Heidelberg-New York: Springer 1974.

    Google Scholar 

  6. Li, C. C.: Population genetics. Chicago and London: University of Chicago Press 1955 (2nd edition 1972).

    Google Scholar 

  7. Turner, J. R. G.: Changes in mean fitness under natural selection. In: Mathematical topics in population genetics (Ken-ichi Kojima, ed.). (Biomathematics, Vol. 1, 32–78.) Berlin-Heidelberg-New York: Springer 1970.

    Google Scholar 

  8. Veblen, O., Young, J. W.: Projective geometry. Vol. 1. Boston: Ginn 1938.

    Google Scholar 

  9. Wright, S.: Evolution and the genetics of populations. Vol. 2: The theory of gene frequencies. Chicago-London: University of Chicago Press 1969.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Althofstrasse 28, CH-6048, Horw, Switzerland

    Robert Ineichen

  2. Biomathematische Abteilung, Universität Zürich, Gemeindestrasse 5, CH-8032, Zürich, Switzerland

    Eduard Batschelet

Authors
  1. Robert Ineichen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Eduard Batschelet
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ineichen, R., Batschelet, E. Genetic selection and de Finetti diagrams. J. Math. Biology 2, 33–39 (1975). https://doi.org/10.1007/BF00276014

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00276014

Keywords

Search

Navigation