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Inbreeding depression in a zygotic algebra
Authors:JA Vargas  Rafael F del Castillo
Institution:CIIDIR IPN Oaxaca , Calle Hornos 1003, Xoxocotlán, México, 71230, Oaxaca
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 selfing 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 projective plane.
Keywords:Selfing  inbreeding depression  zygotic algebra  mixed mating  natural selection  generic methods  semiinvariants  projective plane  rational function
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