Inbreeding depression in a zygotic algebra

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Abstract

We study the algebraic behavior of a three dimensional zygotic algebra in the presence of parameters 0 < s < 1 and 0 < g < 1; s for seifing and g which reflects its associated inbreeding depression. We also study the dynamics of the system for which this algebra is a model. Our methods lean towards commutative algebra and algebraic geometry and find support on the computer program Macaulay2. Our results are best understood through the geometry of a rational function of the protective plane.

Original languageEnglish
Pages (from-to)4425-4432
Number of pages8
JournalCommunications in Algebra
Volume27
Issue number9
DOIs
StatePublished - 1999

Keywords

  • Generic methods
  • Inbreeding depression
  • Mixed mating
  • Natural selection
  • Projective plane
  • Rational function
  • Selfing
  • Semiinvariants
  • Zygotic algebra

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