Protected polymorphisms and evolutionary stability of patch-selection strategies in stochastic environments.
Protected polymorphisms and evolutionary stability of patch-selection strategies in stochastic environments.
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DOI：
10.1007/s00285-014-0824-5
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发表时间：
2015-08
影响因子：
1.9
通讯作者：
Schreiber, Sebastian J.
中科院分区：
文献类型：
--
作者：
Evans, Steven N.;Hening, Alexandru;Schreiber, Sebastian J.
关键词：
我们考虑一个生活在空间和时间随机变化的斑块环境中的种群。种群由两种变体组成（即同一物种的个体具有不同的基因型）。在生存和繁殖成功方面，相关的表型仅在其栖息地选择策略上有所不同。我们计算入侵率对应的利率，在一个最初罕见的变体的丰度增加的存在下，建立在平衡的其他变体。如果这两种变体都有积极的入侵率时，罕见的，那么有一个平衡分布，使这两种变体共存，也就是说，有一个受保护的多态性的栖息地选择。或者，如果一个变体在罕见时具有负的入侵率，则在两个变体都存在的所有初始条件下，它将被另一个变体渐进地取代。我们完善了一个进化稳定的策略，从一个严格的数学方式的栖息地选择的表征。我们提供了一个存在的ESS，使用所有的补丁，并确定当使用一个单一的补丁是一个ESS的充分必要条件。我们还提供了一个明确的公式ESS时，有两种生境类型。我们发现，增加环境随机性的结果在ESS中，当与相应的模型没有随机性的ESS相比，花费更少的时间在补丁具有更大的承载能力，并可能利用汇补丁，从而实践的空间形式的赌注对冲。
We consider a population living in a patchy environment that varies stochastically in space and time. The population is composed of two morphs (that is, individuals of the same species with different genotypes). In terms of survival and reproductive success, the associated phenotypes differ only in their habitat selection strategies. We compute invasion rates corresponding to the rates at which the abundance of an initially rare morph increases in the presence of the other morph established at equilibrium. If both morphs have positive invasion rates when rare, then there is an equilibrium distribution such that the two morphs coexist; that is, there is a protected polymorphism for habitat selection. Alternatively, if one morph has a negative invasion rate when rare, then it is asymptotically displaced by the other morph under all initial conditions where both morphs are present. We refine the characterization of an evolutionary stable strategy for habitat selection from in a mathematically rigorous manner. We provide a necessary and sufficient condition for the existence of an ESS that uses all patches and determine when using a single patch is an ESS. We also provide an explicit formula for the ESS when there are two habitat types. We show that adding environmental stochasticity results in an ESS that, when compared to the ESS for the corresponding model without stochasticity, spends less time in patches with larger carrying capacities and possibly makes use of sink patches, thereby practicing a spatial form of bet hedging.
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影响因子：
3.3
作者：
Anderson, Jill T.;Geber, Monica A.
通讯作者：
Geber, Monica A.
影响因子：
1.4
作者：
Cosner, C
通讯作者：
Cosner, C
影响因子：
2.5
作者：
HARPER, DGC
通讯作者：
HARPER, DGC
影响因子：
1.4
作者：
HASTINGS, A
通讯作者：
HASTINGS, A
影响因子：
2.5
作者：
GODIN, JGJ;KEENLEYSIDE, MHA
通讯作者：
KEENLEYSIDE, MHA