The dynamics of tetraploidy with mixed mating ale 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 associa
ted to this reproductive system. Our methods include elementary commutative
algebra and algebraic geometry, and we make pervasive use of the computer
program Macaulay2. (C) 2000 Academic Press.