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