Hardy-Weinberg Theory for Tetraploidy with Mixed Mating

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Abstract

The dynamics of tetraploidy with mixed mating are studied, with fitness of inbreeders as a parameter. We determine the fixed points and the asymptotic behavior of the trajectories in the gametic and zygotic structures associated to this reproductive system. Our methods include elementary commutative algebra and algebraic geometry, and we make pervasive use of the computer program Macaulay2.

Original languageEnglish
Pages (from-to)369-383
Number of pages15
JournalAdvances in Applied Mathematics
Volume24
Issue number4
DOIs
StatePublished - May 2000
Externally publishedYes

Keywords

  • Hardy-Weinberg; tetraploidy; mixed mating; projective space; rational map; Veronese; rational normal quartic; osculating flag; entropy

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