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© Oxford University Press

A general algorithm to compute multilocus genotype frequencies under various mating systems

F. Hospital 1,4, C. Dillmann 2 and A.E. Melchinger 3

1Station de Génétique Végétate, INRA/UPS/INA-PG, Ferme du Moulon, F-91190 Gifsur Yvette Saatgutforschung und Populationsgenetik, D-70593 Stuttgart, Germany
2GEVES, La Miniére, F-78285 Guyancourt Cedex, France
3Universität Hohenheim, Institul für Pflanzenzüchtung Saatgutforschung und Populationsgenetik, D-70593 Stuttgart, Germany

4To whom correspondence should be addressed E-mail: fred{at}moulon.inra.fr

This paper provides a general method to derive algebraic expressions of genotype frequencies for multiple loci under various mating systems, including random mating, back-crossing, selfing, and full-sib mating. For each mating system, general equations are presented. In the case of three loci, comprehensive tables provide recurrence equations for genotype frequencies under random or self mating, and expected genotype frequencies after two generations of full-sib mating. Our results should prove useful in genetic linkage analysis.

Received on November 11, 1995; accepted on April 13, 1996

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