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Theoretical description of chromosome architecture after multiple back-crossing

Author

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  • Rodolphe, François
  • Martin, Juliette
  • Della-Chiesa, Emmanuelle

Abstract

This paper provides a theoretical description of the chromosome architecture resulting from a given number of generations in a back-cross. It is worth considering chromosome architecture as being dependent on a marked point process, whose properties themselves depend on the crossing-over model used. The resulting architecture is presented here for two different models, one without interference, the other with complete interference. Exact distributions, with easy-to-compute formulae, are derived for quantities of interest, as the lengths of donor or receiver fragments, for any chromosome length and for both crossing-over models. Examples are presented to illustrate the use of these distributions in introgression programs.

Suggested Citation

  • Rodolphe, François & Martin, Juliette & Della-Chiesa, Emmanuelle, 2008. "Theoretical description of chromosome architecture after multiple back-crossing," Theoretical Population Biology, Elsevier, vol. 73(2), pages 289-299.
    • Handle: RePEc:eee:thpobi:v:73:y:2008:i:2:p:289-299
    DOI: 10.1016/j.tpb.2007.11.004
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