Selection in diplo-haplonts

Abstract

A deterministic selection model is considered for diplohaplontic populations which reproduce in non-overlapping generations and form zygotes by random fusion of gametes. The model allows for vegetative propagation as well as for viability and fertility selection in both the haploid and diploid phases. Fertility selection in the haploid phases is permitted to differ according to sex, and all selection coefficients are assumed to be constant over the generations. The main result obtained is that this model, including all of the above selective forces, is formally and analytically equivalent to and thus shares all of the properties of the “classical” viability selection model. This result is essentially due to the fact that when haplogenotypic frequencies in the sporophytes are considered in consecutive generations, all of the different selection forces can be expressed with the help of a single selection coefficient for each diplogenotype. The benefits from this simplification are demonstrated with the help of two examples for a single, multiallelic locus. Restricting selection to the haplophases only, it is shown that fertility selection acting in opposing directions in the sexes can lead to stable multiallelic polymorphisms without assuming spatial heterogeneity of the environment. However, it is unlikely that the conditions for this will be realized in actual populations for more than two alleles. The second example is concerned with the problem of maintaining several sexual types (males, females and bisexuals) in a population, with special emphasis on the conditions for the establishment of dioecious or monoecious systems of sexuality or a mixture of these.