The evolution of haplodiploidy under inbreeding

Although haplodiploid organisms tend to be inbred, previous models of the evolution of haplodiploidy have assumed outbred populations. Here a model for the evolution of haplodiploidy is developed which incorporates sib mating, deleterious mutations generated by mutation, and fitness differences between haploids and diploids. Simulations of the model allow an assessment of the effect of inbreeding on the deleterious mutation and maternal transmission theories for the evolution of haplodiploidy. As expected from intuitive arguments, inbreeding favours haplodiploidy under the deleterious mutation hypothesis but disfavours haplodiploidy under the maternal transmission hypothesis. It appears that the effect of inbreeding is greater on the maternal transmission theory, and thus inbreeding may restrict the evolution of haplodiploidy.