Maximum-likelihood models for mapping genetic markers showing segregation distortion. 2. F2 populations

Abstract

In F2 populations, gametic and zygotic selection may affect the analysis of linkage in different ways. Therefore, specific likelihood equations have to be developed for each case, including dominant and codominant markers. The asymptotic bias of the “classical” estimates are derived for each case, in order to compare them with the standard errors of the suggested estimates. We discuss the utility and the efficiency of a previous model developed for dominant markers. We show that dominant markers provide very poor information in the case of segregation distortion and, therefore, should be used with circumspection. On the other hand, the estimation of recombination fractions between codominant markers is less affected by selection than is that for dominant markers. We also discuss the analysis of linkage between dominant and codominant markers.

This is a preview of subscription content, access via your institution.

References

  1. Allard RW (1956) Formulas and tables to facilitate the calculation of recombination values in heredity. Hilgardia 24:235–278

    Google Scholar 

  2. Allard AW, Alder HL (1960) The effect of incomplete penetrance on the estimation of recombination values. Heredity 15:263–282

    Google Scholar 

  3. Bailey NTJ (1949) The estimation of linkage with differential viability, II and III. Heredity 3:220–228

    Google Scholar 

  4. Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm. J Royal Stat Soc 39:1–38

    Google Scholar 

  5. Edwards AWF (1972) Likelihood. The John Hopkins University Press, Baltimore

    Google Scholar 

  6. Fauré S, Noyer JL, Horry JP, Bakry F, Lanaud C, González de León D (1993) A molecular marker-based linkage map of diploid bananas (Musa acuminata). Theor Appl Genet 87:517–526

    Google Scholar 

  7. Fisher RA (1937) The design of experiments. Oliver and Boyd, Edinburgh London

    Google Scholar 

  8. Fisher RA, Balmukand B (1928) The estimation of linkage from the offspring of selfed heterozygotes. J Genet 20:79–92

    Google Scholar 

  9. Heun M, Gregorius HR (1987) A theoretical model for estimating linkage in F2 populations with distorted single gene segregation. Biomet J 29:397–406

    Google Scholar 

  10. Lin SY, Ikehashi H, Yanagihara S, Kawashima A (1992) Segregation distortion via male gametes in hybrids between Indica and Japonica or wide-compatibility varieties in rice (Oryza sativa). Theor Appl Genet 84:812–818

    Google Scholar 

  11. Lorieux (1993) Cartographie des marqueurs moléculaires et distorsions de ségrégation: modèles mathématiques. Thèse de Doctorat en Sciences, Université Montpellier II, France, 135 pp.

    Google Scholar 

  12. Mangin B (1991) Construction de cartes génétiques: quelques méthodes. In: Méribel 91, Méribel, France, 1–4

    Google Scholar 

  13. Pham JL, Glaszmann JC, Sano R, Barbier P, Ghesquière A, Second G (1990) Isozyme markers in rice: genetic analysis and linkage relationships. Genome 33:348–359

    Google Scholar 

  14. Wolfram S (1988) Mathematica, a system for doing mathematics by computer. Addison-Wesley Publishing Company, Inc., Redwood City, California

    Google Scholar 

  15. Wu CJ (1983) On the convergence properties of the EM algorithm. Ann Stat 11:95–103

    Google Scholar 

Download references

Author information

Affiliations

Authors

Additional information

Communicated by G. Wenzel

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Lorieux, M., Perrier, X., Goffinet, B. et al. Maximum-likelihood models for mapping genetic markers showing segregation distortion. 2. F2 populations. Theoret. Appl. Genetics 90, 81–89 (1995). https://doi.org/10.1007/BF00220999

Download citation

Key words

  • Genetic mapping
  • Maximum-likelihood
  • Molecular markers
  • Gametic selection
  • Zygotic selection