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Stochastic properties of generalised Yule models, with biodiversity applications

Citation

Gernhard, T and Hartmann, K and Steel, M, Stochastic properties of generalised Yule models, with biodiversity applications, Journal of Theoretical Biology: An International Multidisciplinary Journal, 57, (5) pp. 713-735. ISSN 0022-5193 (2008) [Refereed Article]

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DOI: doi:10.1007/s00285-008-0186-y

Abstract

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.

Item Details

Item Type:Refereed Article
Keywords:Yule · phylogenetic diversity · tree · null model · biodiversity · extinction bellman harris
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Biological Mathematics
Objective Division:Environment
Objective Group:Flora, Fauna and Biodiversity
Objective Field:Flora, Fauna and Biodiversity at Regional or Larger Scales
Author:Hartmann, K (Dr Klaas Hartmann)
ID Code:71698
Year Published:2008
Web of Science® Times Cited:20
Deposited By:Sustainable Marine Research Collaboration
Deposited On:2011-08-02
Last Modified:2015-01-27
Downloads:0

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