Skip to main content
Log in

Estimation of mating system parameters in plant populations using the EM algorithm

  • Published:
Theoretical and Applied Genetics Aims and scope Submit manuscript

Summary

An EM algorithm procedure is presented for the maximum-likelihood estimation of mating system parameters of mixed mating system models for both angiosperms and gymnosperms. One advantage of the procedure is the ability to accommodate any number of alleles in the mature population and pollen pool. Estimates of the outcrossing rate (\(\hat t\)) derived from the model are bounded strictly within the natural biological range (i.e., 0 ≦ \(\hat t\) ≦1).

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

  • Allard RW, Kahler AL, Clegg MT (1975) Isozymes in plant population genetics. In: Market CL (ed) Isozymes IV. Academic Press, New York, pp 261–272

    Google Scholar 

  • Brown AHD, Allard RW (1970) Estimation of the mating system in open-pollinated maize populations using isozyme polymorphisms. Genetics 66:133–145

    Google Scholar 

  • Brown AHD, Matheson AC, Eldridge KG (1975) Estimation of the mating system in Eucalyptus obliqua L'Herit using allozyme polymorphisms. Aust J Bot 23:931–949

    Google Scholar 

  • Brown AHD, Zohary D, Nevo E (1978) Outcrossing rates and heterozygosity in natural populations Hordeum spontaneum Koch. in Israel. Heredity 41:49–62

    Google Scholar 

  • Ceppellini R, Siniscalco R, Smith CAB (1955) The estimation of gene frequencies in a random mating population. Ann Hum Genet 20:97–115

    Google Scholar 

  • Clegg MT, Kahler AL, Allard RW (1978) Estimation of life cycle components of selection in an experimental plant population. Genetics 89:765–792

    Google Scholar 

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

    Google Scholar 

  • Fryxell PA (1957) Mode of reproduction in higher plants. Bot Rev 23:135–233

    Google Scholar 

  • Green AG, Brown AHD, Oram RN (1980) Determination of outcrossing rate in a breeding population of Lupinus albus L. (white lupin). Z Pflanzenzücht 84:181–191

    Google Scholar 

  • Jain SK (1979) Estimation of outcrossing rates: Some alternative procedures. Crop Sci 19:23–26

    Google Scholar 

  • Morris RW, Speith PT (1978) Sampling strategies for using female gametophytes to estimate heterozygosity in conifers. Theor Appl Genet 51:217–222

    Google Scholar 

  • Ritland K, Jain SK (1981) A model for the estimation of outcrossing rate and gene frequencies using n independent loci. Heredity 47:35–52

    Google Scholar 

  • Shaw DV, Kahler AL, Allard RW (1981) A multilocus estimator of mating system parameters in plant populations. Proc Natl Acad Sci USA 78:1298–1302

    Google Scholar 

  • Shaw DV, Allard RW (1982) Estimation of outcrossing rates in Douglas-fir using isozyme markers. Theor Appl Genet 62:113–120

    Google Scholar 

  • Smith CAB (1957) Counting methods in genetical statistics. Ann Hum Genet 21:254–276

    Google Scholar 

  • Wu C-H (1981) On the convergence of the EM algorithm. Tech Rep No 642. University of Wisconsin, Dept of Statistics

  • Yeh FC, Brune A, Cheliak WM, Chipman DC (1982) Mating system of Eucalyptus citriodora in a seed orchard. Can J For Res (submitted)

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by R.W.Allard

A program listing, documentation, and test data may be obtained from the senior author on request.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cheliak, W.M., Morgan, K., Strobeck, C. et al. Estimation of mating system parameters in plant populations using the EM algorithm. Theoret. Appl. Genetics 65, 157–161 (1983). https://doi.org/10.1007/BF00264884

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00264884

Key words

Navigation