Phylogenetic trees are types of networks that describe the temporal relationship between individuals, species, or other units that are subject to evolutionary diversification. Many phylogenetic trees are constructed from molecular data that is often only available for extant species, and hence they lack all or some of the branches that did not make it into the present. This feature makes inference on the diversification process challenging. For relatively simple diversification models, analytical or numerical methods to compute the likelihood exist, but these do not work for more realistic models in which the likelihood depends on properties of the missing lineages. In this article, we study a general class of species diversification models, and we provide an expectation-maximization framework in combination with a uniform sampling scheme to perform maximum likelihood estimation of the parameters of the diversification process.

中文翻译：

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为系统发育树引入一类通用的物种多样化模型

系统发育树是描述个体、物种或其他受进化多样化影响的单位之间时间关系的网络类型。许多系统发育树是根据分子数据构建的，这些数据通常仅适用于现存物种，因此它们缺少所有或部分没有进入现在的分支。此功能使对多样化过程的推断具有挑战性。对于相对简单的多样化模型，存在计算可能性的分析或数值方法，但这些方法不适用于可能性取决于缺失谱系属性的更现实的模型。在本文中，我们研究了一类通用的物种多样化模型，