TY - JOUR T1 - Evolution of the sex ratio and effective number under gynodioecy and androdioecy JF - bioRxiv DO - 10.1101/113605 SP - 113605 AU - Marcy K. Uyenoyama AU - Naoki Takebayashi Y1 - 2017/01/01 UR - http://biorxiv.org/content/early/2017/03/04/113605.abstract N2 - We analyze dynamic models of the evolution of androdioecy and gynodioecy under autosomal modifiers of weak effect. In our zygote control models, the sex expressed by a zygote depends on its own genotype, while our maternal control models, the sex expressed by a zygote depends on the genotype of its maternal parent. Our study addresses the Li-Price equation, which for all its heuristic appeal, describes evolutionary change over a single generation. Our analysis unifies full multi-dimensional local stability analysis with the Li-Price equation by identifying a point in the neighborhood of a fixation state from which a single-generation step indicates the asymptotic behavior of a rare, introduced allele initiated at an arbitrary location near the fixation state. We incorporate our theoretical analysis into our previously-developed Bayesian inference framework to develop a new method for inferring the viability of gonochores (males or females) relative to hermaphrodites. Applying this approach to microsatellite data derived from natural populations of the gynodioecious plant Schiedea salicaria and the the androdioecious killifish Kryptolebias marmoratus, we find that while female and hermaphrodite S. salicaria appear to have similar viabilities, male K. marmoratus appear to survive to reproductive age at less than half the rate of hermaphrodites. ER -