Stochastic properties of generalised Yule models, with biodiversity applications
Stochastic properties of generalised Yule models, with biodiversity applications
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DOI：
10.1007/s00285-008-0186-y
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发表时间：
2008-11-01
影响因子：
1.9
通讯作者：
Steel, Mike
中科院分区：
文献类型：
--
作者：
Gernhard, Tanja;Hartmann, Klaas;Steel, Mike
Yule模型是进化生物学中应用广泛的物种形成模型。尽管它很简单，Yule模型的许多方面还没有被数学探索过。在本文中，我们形式化了两种分析方法来获得由Yule模型生成的系统发育树的单个分支长度的概率密度。这些方法是灵活的，并且允许Yule模型产生的树的各个方面进行调查。我们的一种方法适用于更广泛的进化过程，即Bellman-Harris模型。我们的方法有许多实际应用，包括生物多样性和保护相关的问题。在这种情况下，这些方法可以用来描述圣诞树生物多样性的预期损失率，以及在保护管理中包括系统发育的预期收益。我们将简要探讨这些应用程序。
The Yule model is a widely used speciation model in evolutionary biology. Despite its simplicity many aspects of the Yule model have not been explored mathematically. In this paper, we formalise two analytic approaches for obtaining probability densities of individual branch lengths of phylogenetic trees generated by the Yule model. These methods are flexible and permit various aspects of the trees produced by Yule models to be investigated. One of our methods is applicable to a broader class of evolutionary processes, namely the Bellman-Harris models. Our methods have many practical applications including biodiversity and conservation related problems. In this setting the methods can be used to characterise the expected rate of biodiversity loss for Yule trees, as well as the expected gain of including the phylogeny in conservation management. We briefly explore these applications.