Abrams Peter A
Department of Zoology, University of Toronto, Ontario, Canada.
Evolution. 2006 Mar;60(3):427-39.
Mathematical models of consumer-resource systems are used to explore the evolution of traits related to resource acquisition in a generalist consumer species that is capable of exploiting two resources. The analysis focuses on whether evolution of traits determining the capture rates of two resources by a consumer species produce one generalist, two specialists, or all three types, when all types are characterized by a common fitness function. In systems with a stable equilibrium, evolution produces one generalist or two specialists, depending on the second derivative of the trade-off relationship. When there are sustained population fluctuations, the nature of the trade-off between the consumer's capture rates of the two resources still plays a key role in determining the evolutionary outcome. If the trade-off is described by a choice variable between zero and one that is raised to a power n, polymorphic states are possible when n > 1, which implies a positive second derivative of the curve. These states are either dimorphism, with two relatively specialized consumer types, or trimorphism, with a single generalist type and two specialists. Both endogenously driven consumer-resource cycles, and fluctuations driven by an environmental variable affecting resource growth are considered. Trimorphic evolutionary outcomes are relatively common in the case of endogenous cycles. In contrast to a previous study, these trimorphisms can often evolve even when new lineages are constrained to have phenotypes very similar to existing lineages. Exogenous cycles driven by environmental variation in resource growth rates appear to be much less likely to produce a mixture of generalists and specialists than are endogenous consumer-resource cycles.
消费者 - 资源系统的数学模型用于探究一种能够利用两种资源的泛化消费者物种中与资源获取相关性状的演变。分析聚焦于当所有类型都由一个共同的适应度函数表征时,决定消费者物种对两种资源捕获率的性状演变是否会产生一种泛化类型、两种特化类型或所有三种类型。在具有稳定平衡的系统中,进化会产生一种泛化类型或两种特化类型,这取决于权衡关系的二阶导数。当存在持续的种群波动时,消费者对两种资源的捕获率之间的权衡性质在决定进化结果方面仍然起着关键作用。如果权衡由一个介于零和一之间且被提升到幂次(n)的选择变量来描述,当(n > 1)时多态状态是可能的,这意味着曲线的二阶导数为正。这些状态要么是双态性,有两种相对特化的消费者类型,要么是三态性,有一个泛化类型和两种特化类型。研究考虑了内源性驱动的消费者 - 资源循环以及由影响资源增长的环境变量驱动的波动。在存在内源性循环的情况下,三态性进化结果相对常见。与之前的一项研究不同,即使新谱系被限制具有与现有谱系非常相似的表型,这些三态性通常也能进化。由资源增长率的环境变化驱动的外源性循环似乎比内源性消费者 - 资源循环产生泛化类型和特化类型混合的可能性要小得多。