Evolution of dispersal in spatial population models with multiple timescales
Evolution of dispersal in spatial population models with multiple timescales
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DOI：
10.1007/s00285-018-1302-2
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发表时间：
2020-01-01
影响因子：
1.9
通讯作者：
Lou, Yuan
中科院分区：
文献类型：
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作者：
Cantrell, Robert Stephen;Cosner, Chris;Lou, Yuan
我们研究扩散策略的进化稳定性，包括但不限于那些能够产生理想的自由种群分布的策略（即所有个体具有相同的适应度并且在平衡状态下个体没有净移动的分布）。假设环境在空间上是可变的，但在时间上是恒定的。我们假设时间尺度是分离的，因此扩散发生在快速时间尺度上，进化发生在慢速时间尺度上，而种群动态和相互作用发生在中间时间尺度上。从没有种群动态的扩散平流扩散模型开始，我们使用种群分布剖面的大时间限制以及环境中的资源分布来计算描述种群动态的 Logistic 和 Lotka-Volterra 常微分方程中的增长和相互作用系数。然后，我们使用由自适应动力学驱动的成对入侵性分析方法来研究由原始平流扩散模型中的平流和扩散项的各种假设确定的策略的演化和/或收敛稳定性。在其他结果中，我们发现那些能够产生理想自由分配的策略在进化上是稳定的。
We study the evolutionary stability of dispersal strategies, including but not limited to those that can produce ideal free population distributions (that is, distributions where all individuals have equal fitness and there is no net movement of individuals at equilibrium). The environment is assumed to be variable in space but constant in time. We assume that there is a separation of times scales, so that dispersal occurs on a fast timescale, evolution occurs on a slow timescale, and population dynamics and interactions occur on an intermediate timescale. Starting with advection-diffusion models for dispersal without population dynamics, we use the large time limits of profiles for population distributions together with the distribution of resources in the environment to calculate growth and interaction coefficients in logistic and Lotka-Volterra ordinary differential equations describing population dynamics. We then use a pairwise invasibility analysis approach motivated by adaptive dynamics to study the evolutionary and/or convergence stability of strategies determined by various assumptions about the advection and diffusion terms in the original advection-diffusion dispersal models. Among other results we find that those strategies which can produce an ideal free distribution are evolutionarily stable.