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Colony-level selection in the social insects: Single locus additive and nonadditive models
Institution:1. Mathematical Sciences Institute, Australian National University, Canberra, Australia;2. Research School of Biology, Australian National University, Canberra, Australia;1. Department of Chemistry and Biochemistry, University of South Carolina, Columbia, SC 29208, United States;2. Department of Chemical Engineering, University of South Carolina, Columbia, SC 29208, United States;3. USC Nanocenter, University of South Carolina, Columbia, SC 29208, United States;4. Biomedical Engineering Program, University of South Carolina, Columbia, SC 29208, United States;1. Department of Biology, Box 90338, Duke University, Durham, NC 27708-0338, USA;2. Institute of Arctic Biology and Department of Biology and Wildlife, University of Alaska, Fairbanks, Fairbanks, AK 99775, USA
Abstract:Genetic models of colony-level selection applicable to diploids (termites) and haplodiploids (social Hymenoptera) are analysed. In the Additive model colony fitnesses are just the arithmetic average of the contribution of the worker genotypes. In the Nonadditive model the fitness of the heterogenotypic colonies (those comprised of more than one worker genotype) may be altered due to interaction between the different worker genotypes. This is modelled by multiplying the additive fitness by the variable, ei. With additive selection the same equilibrium gene frequency occurs in diploids and in haplodiploids with both once and twice mated queens. In haplodiploids if selection is nonadditive and strong, up to three polymorphic equilibria can exist; however, only a maximum of two are possible with weak selection. Multiple mating by queens increases the number of equilibria possible. Worker-produced males alter the conditions for the existence of a polymorphic equilibrium, and shift the male and female equilibrium gene frequencies.
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