Are Two-Patch Models Sufficient? The Evolution of Dispersal and Topology of River Network Modules
Are Two-Patch Models Sufficient? The Evolution of Dispersal and Topology of River Network Modules
复制标题
两个补丁模型是否足够？河网模块的分散与拓扑演化
DOI：
10.1007/s11538-020-00803-1
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发表时间：
2020-10
影响因子：
3.5
通讯作者：
Hongyan Jiang;King-Yeung Lam;Y. Lou
中科院分区：
文献类型：
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作者：
Hongyan Jiang;King-Yeung Lam;Y. Lou
我们在三斑块模型中研究了两个竞争物种的动态，并说明了有向河网模块的拓扑结构如何影响扩散的演变。每个模型都假设补丁1在上游端，补丁3在下游端，但补丁2可以在上游、中游或下游，具体取决于模块的具体拓扑结构。我们假设个体在斑块之间的无偏分散和从一个斑块到另一个斑块的被动漂移，取决于斑块的连通性。当漂移率较小时，我们证明了对于所有模型，当且仅当它是较慢的扩散者时，突变物种可以在稀有时入侵。然而，当漂移率较大时，大多数模型预测更快的分散者获胜，而有些模型预测存在一种进化上的单一策略。漂移的中间范围要复杂得多：大多数模型预测存在一种单一策略，但它可能会或可能不会进化稳定，再次取决于模块的拓扑结构，而一个模型甚至预测，对于某些中间漂移率，单一策略不存在，更快的分散者赢得竞争。
We study the dynamics of two competing species in three-patch models and illustrate how the topology of directed river network modules may affect the evolution of dispersal. Each model assumes that patch 1 is at the upstream end, patch 3 is at the downstream end, but patch 2 could be upstream, or middle stream, or downstream, depending on the specific topology of the modules. We posit that individuals are subject to both unbiased dispersal between patches and passive drift from one patch to another, depending upon the connectivity of patches. When the drift rate is small, we show that for all models, the mutant species can invade when rare if and only if it is the slower disperser. However, when the drift rate is large, most models predict that the faster disperser wins, while some predict that there exists one evolutionarily singular strategy. The intermediate range of drift is much more complex: most models predict the existence of one singular strategy, but it may or may not be evolutionarily stable, again depending upon the topology of modules, while one model even predicts that for some intermediate drift rate, singular strategy does not exist and the faster disperser wins the competition.