岛屿biodiversity的一个推广模型
A generalized model of island biodiversity
摘要:
研究了从一个静态区域池中迁移的竞争物种的局部群落的动态。通过引入人口统计噪声的广义竞争洛特卡-沃尔泰拉模型,得到了一个包含四个不同阶段的丰富的动力学结构.当整体物种间竞争较弱时,岛屿物种是大陆物种的样本。对于较高的竞争参数值的系统仍然承认一个平衡的社区,但现在的一些大陆物种在岛上缺席。竞争的进一步增加导致了一个间歇性的“混乱”阶段,其中的动态是由物种的入侵组合控制和周转率是由迁移。最后,强竞争相是玻璃态的,主要由不可侵入的状态和噪声诱导的转变。我们的模型包含,作为一个空间的情况下,著名的中性岛理论的威尔逊-麦克阿瑟和哈贝尔。此外,我们表明,从完美的中性轻微的偏差可能会导致每个阶段,哈贝尔点似乎是二次临界。
英文摘要:
The dynamics of a local community of competing species with weak immigration from a static regional pool is studied. Implementing the generalized competitive Lotka-Volterra model with demographic noise, a rich dynamics structure with four qualitatively distinct phases is unfolded. When the overall interspecies competition is weak, the island species are a sample of the mainland species. For higher values of the competition parameter the system still admit an equilibrium community, but now some of the mainland species are absent on the island. Further increase in competition leads to an intermittent "chaotic" phase, where the dynamics is controlled by invadable combinations of species and the turnover rate is governed by the migration. Finally, the strong competition phase is glassy, dominated by uninvadable state and noise-induced transitions. Our model contains, as a spatial case, the celebrated neutral island theories of Wilson-MacArthur and Hubbell. Moreover, we show that slight deviations from perfect neutrality may lead to each of the phases, as the Hubbell point appears to be quadracritical.
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