What life cycle graphs can tell about the evolution of life histories
What life cycle graphs can tell about the evolution of life histories
复制标题
生命周期图可以告诉我们生命史的演变
DOI：
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发表时间：
2012
影响因子：
1.9
通讯作者：
T. V. Van Dooren
中科院分区：
文献类型：
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作者：
C. Rueffler;J. Metz;T. V. Van Dooren
我们在一大类生活史模型中分析了长期进化动力学。该模型族的特征是离散的种群动态和有限数量的个体状态，使得生命周期可以用种群预测矩阵来描述。我们允许任意数量的人口参数受制于依赖密度的人口管制，并允许两个或两个以上的人口参数受制于进化变化。我们的目标是确定生命周期的结构特征和与特定进化动态相对应的种群调节模式。我们的派生基于适应度代理，它是生命周期内循环的代数简单函数。这使得我们可以根据这种环的性质来表述结果，这些环很容易从生物学上解释。可以得到以下结果。首先，我们给出了具有任意数量演化特征的模型存在最优化原则的充分条件。然后根据其适当的优化原则对这些模型进行分类。其次，在只有两个演化特征的假设下，我们确定了生命周期的结构特征，这些特征决定了单态自适应动力的平衡点(进化奇异点)对应于适应度极小值或最大值。第三，对于一类不可能进行优化的频率依赖模型，我们给出了允许根据折衷曲线的曲率对奇点进行分类的充分条件。在整篇文章中，我们将通过各种示例来说明我们的框架的实用性。
We analyze long-term evolutionary dynamics in a large class of life history models. The model family is characterized by discrete-time population dynamics and a finite number of individual states such that the life cycle can be described in terms of a population projection matrix. We allow an arbitrary number of demographic parameters to be subject to density-dependent population regulation and two or more demographic parameters to be subject to evolutionary change. Our aim is to identify structural features of life cycles and modes of population regulation that correspond to specific evolutionary dynamics. Our derivations are based on a fitness proxy that is an algebraically simple function of loops within the life cycle. This allows us to phrase the results in terms of properties of such loops which are readily interpreted biologically. The following results could be obtained. First, we give sufficient conditions for the existence of optimisation principles in models with an arbitrary number of evolving traits. These models are then classified with respect to their appropriate optimisation principle. Second, under the assumption of just two evolving traits we identify structural features of the life cycle that determine whether equilibria of the monomorphic adaptive dynamics (evolutionarily singular points) correspond to fitness minima or maxima. Third, for one class of frequency-dependent models, where optimisation is not possible, we present sufficient conditions that allow classifying singular points in terms of the curvature of the trade-off curve. Throughout the article we illustrate the utility of our framework with a variety of examples.