On testing the role of genetic asymmetries created by haplodiploidy in the evolution of eusociality in the Hymenoptera

Abstract

The haplodiploid genetic system found in all Hymenopterans creates an asymmetry in genetic relatedness so that full-sisters are more closely related to each other than a mother is to her daughters. Thus Hymenopteran workers who rear siblings can obtain higher inclusive fitness compared to individuals who rear offspring. However, polyandry and polygyny reduce relatedness between workers and their sisters and thus tend to break down the genetic asymmetry created by haplodiploidy. Since the advent of electrophoretic analysis of variability at enzyme loci, several estimates of intra-colony genetic relatedness in the Hymenoptera have been published. To test the role of the genetic asymmetry created by haplodiploidy in the evolution of eusociality, I assume that workers are capable of investing in their brothers and sisters in their ratio of relatedness to them. I then compute ahaplodiploidy threshold, which is the threshold relatedness to sisters required for workers to obtain a weighted mean relatedness of 0.5 to siblings and thus break even with solitary foundresses. When workers rear mixtures of sisters and brothers in an outbred population, the value of this threshold is 0.604. An examination of the distribution of 185 estimates of mean genetic relatedness between sisters in Hymenopteran colonies shows that the values are well below the expected 0.75 for full sisters, both in higly eusocial as well as in primitively eusocial species although relatedness values in the latter are higher than in the former. Of the 177 estimates with standard error, 49 are significantly lower than the haplodiploidy threshold and 22 are significantly higher. Of the 35 species studied only 6 have one or more estimates that are significantly higher than the haplodiploidy threshold. For more than half the estimates, the probability of the relatedness value being above the haplodiploidy threshold is less than 0.5. Reanalysis of these data using 0.5 as the threshold does not drastically alter these conclusions. I conclude that the genetic asymmetry created by haplodiploidy is, in most cases, insufficient by itself either topromote the origin of eusociality or tomaintain the highly eusocial state.