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The Journal of Heredity 1992:83(2):119-122
© 1992 The American Genetic Association 83:119-122

research-article

Covariance Between Haploid-Species Hybrid and Tuberosum x Haploid-Species Hybrid in 4x-2x Crosses of Solanum tuberosum L.

K. G. Haynes

U.S. Department of Agriculture, Agricultural Research Service, Vegetable Laboratory, Plant Sciences Institute Beltsville, MD 20705

Address reprint requests to Dr. Haynes.

Abstract

The covariance between a haploid-species (2n = 2x = 24) hybrid Solanum parent and its S. tuberosum Group Tuberosum x haploid-species (2n = 4x = 48) hybrid offspring is derived for the 4x-2x breeding approach when the haploid-species hybrid produces 2n pollen by either a first-division restitution mechanism or a second-division restitution mechanism. Assuming the diploid species parent in the haploid-species hybrid is unrelated to the S. tuberosum Gr. Tuberosum parent, this covariance will have components due to the probability that one or two genes in the haploid species hybrid and one or two genes in the S. tuberosum Gr. Tuberosum x haploid-species hybrid, respectively, are identical by descent (IBD) and additional three, four, and five gene identify descent measures. The covariance between a haploid-species hybrid parent and its S. tuberosum Gr. Tuberosum x haploid-species hybrid offspring is complex. It depends on the mechanism of 2n pollen formation and the frequency of single exchange tetrads, and it is a function of the ploidy levels involved. Regardless of the mechanism of 2n pollen formation, complex inbreeding relationships exist that do not have any equivalent in diploid populations.


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