Dominance hierarchies reduce the number of hopeful reproductives in polygynous queenless ants

Abstract

In many animal societies aggressive interactions regulate essential features such as feeding order and reproductive rights. Because aggressive interactions are costly the number of individuals competing for direct reproduction (hopeful reproductives) affects colony productivity. Using mathematical models, based on the costs/benefits trade-off for a worker to attempt to become a reproductive, we determine the number of hopeful reproductives expected to occur in insect societies with totipotent workers and several reproductives. The model is based on the biology of the polygynous queenless ant Rhytidoponera confusa (Formicidae: Ectatomminae), where every worker can potentially reproduce but only a few actually do, but is valid for all societies with totipotent individuals. We compare the number of hopeful reproductives predicted in the absence of a dominance hierarchy and with a linear dominance hierarchy, and we investigate the effects of colony size, relatedness, and mortality. The models show that a linear dominance hierarchy reduces the number of hopeful reproductives, and additional unpublished models show that this reduction is lower in non-linear hierarchies. Dominance hierarchies are thus favoured by natural selection. Larger colony size and higher mortalities result in longer hierarchy, whereas higher relatedness shortens hierarchy length. These predictions were successfully tested with eight colonies of R. confusa.