A model for the study ofWolbachia pipientisHertig (Rickettsiales: Rickettsiaceae)- induced cytoplasmic incompatibility in arrhenotokous haplodiploid populations: consequences for biological control

Wolbachia is an endocytoplasmic bacterium responsible for various reproductive modifications in arthropods. In several species, Wolbachia induces a phenomenon called cytoplasmic incompatibility (CI), whereby crosses between a Wolbachia-infected male and a healthy female are incompatible. In haplodiploid species reproducing with arrhenotokous parthenogenesis, CI crosses produce only parthenogenetic males, inducing a male-biased sex ratio in the population. Here, we used two modeling approaches to evaluate the respective influences of demographic and biological parameters on Wolbachia fixation probability and on the sex ratio peak occurring during a Wolbachia invasion, and compared these parameters to values reported in the literature. Results suggest that the impact of Wolbachia invasion on population dynamics remains relatively limited, especially for parasitoids with high rates of sib-mating. The consequences for introduction of the parasitoids for biological control are discussed.