Department of Applied Mathematics, The University of Western Ontario, 1151 Richmond Street, London, Ontario, Canada, N6A 5B7.
Evolution. 2013 Nov;67(11):3221-32. doi: 10.1111/evo.12188. Epub 2013 Jul 10.
Cooperative breeding is a system in which certain individuals facilitate the production of offspring by others. The ecological constraints hypothesis states that ecological conditions deter individuals from breeding independently, and so individuals breed cooperatively to make the best of a bad situation. Current theoretical support for the ecological constraints hypothesis is lacking. We formulate a mathematical model that emphasizes the underlying ecology of cooperative breeders. Our goal is to derive theoretical support for the ecological constraints hypothesis using an ecological model of population dynamics. We consider a population composed of two kinds of individuals, nonbreeders (auxiliaries) and breeders. We suppose that help provided by an auxiliary increases breeder fecundity, but reduces the probability with which the auxiliary becomes a breeder. Our main result is a condition that guarantees success of auxiliary help. We predict that increasing the cost of dispersal promotes helping, in agreement with verbal theory. We also predict that increasing breeder mortality can either hinder helping (at high population densities), or promote it (at low population densities). We conclude that ecological constraints can exert influence over the evolution of auxiliary help when population dynamics are considered; moreover, that influence need not coincide with direct fitness benefits as previously found.
合作繁殖是一种某些个体为其他个体的繁殖提供便利的系统。生态约束假说指出,生态条件阻止个体独立繁殖,因此个体合作繁殖是为了充分利用不利的情况。目前缺乏对生态约束假说的理论支持。我们制定了一个强调合作繁殖者潜在生态学的数学模型。我们的目标是使用种群动态的生态模型为生态约束假说提供理论支持。我们考虑由两种个体组成的种群,非繁殖者(辅助者)和繁殖者。我们假设辅助者提供的帮助会增加繁殖者的繁殖力,但会降低辅助者成为繁殖者的概率。我们的主要结果是一个保证辅助者帮助成功的条件。我们预测,随着扩散成本的增加,帮助会增加,这与口头理论一致。我们还预测,繁殖者死亡率的增加可能会阻碍帮助(在种群密度高的情况下),也可能会促进帮助(在种群密度低的情况下)。我们的结论是,当考虑种群动态时,生态约束可以对辅助者帮助的进化施加影响;而且,这种影响不一定与以前发现的直接适应利益一致。