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Parker, G. A., & MacNair, M. R. (1978). Models of parent-offspring conflict. I. Monogamy. Anim. Behav., 26, 97–110.
Abstract: Theoretical models for Trivers (1974) concept of parent-offspring conflict are examined for species in which the effects of the conflict are felt by full sibs. A rare conflictor gene will spread if Image , whereÆ’(m) is the fitness gained by a conflictor relative to a non-conflictor offspring (Æ’(m) >1), and m is the amount of parental investment taken by a conflictor relative to m = 1 for a non-conflictor. The range of m alleles which can spread against the parent optimum decreases as the cost to the parent increases until a point is reached where there is no conflict of evolutionary interests. There would be no polymorphism for conflictor: non-conflictor alleles unless special conditions prevail. The conflictor allele which spreads most rapidly as a rare mutant against the parental optimum is not an evolutionarily stable strategy (ESS). The ESS for parent-offspring conflict in monogamous species has m0 = Æ’(m0)/2[dÆ’(m0)/dm0]. The analytical solutions are confirmed throughout by simulations.
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