Paper no. 4, pages 1-81. Greven Abstract . Genetic models incorporating resampling and migration are now fairly well-understood.
Problems arise in the analysis, if both selection and mutation are incorporated.
The first model we use is a countable system of Fleming-Viot processes with selection and interaction between components via migration. Furthermore we discuss in a second model the effect of adding mutation and recombination to the system already incorporating selection. Of particular interest in such evolutionary models is the nonequilibrium behaviour. The latter can be studied rigorously by exhibiting quasi-equilibria. These are obtained by letting a parameter in the evolution tend to infinity and observing the system in various different time scales expanding with this parameter in different orders of magnitude.