论文标题
多合并家谱 - 模型，后果，推理
Multiple-merger genealogies -- models, consequences, inference
论文作者
论文摘要
与基于Kingman的$ n $ coalescent的分叉树模型相比，对应于$λ$ - 和$ξ$ - $ n $ coalescents的树木既相似又有不同。这对于推断良好的基因家谱以及评估具有这种样品谱系物种的生物学特性的推断产生了影响。在这里，突出显示样品放大时，有关树中的进化枝大小的数学属性以及树的变化。为了用作现实种群的现实家谱模型，讨论了不断变化的人口规模的扩展。
Trees corresponding to $Λ$- and $Ξ$-$n$-coalescents can be both quite similar and fundamentally different compared to bifurcating tree models based on Kingman's $n$-coalescent. This has consequences for inference of a well-fitting gene genealogy as well as for assessing biological properties of species having such sample genealogies. Here, mathematical properties concerning clade sizes in the tree as well as changes of the tree when the samples are enlargened are highlighted. To be used as realistic genealogy models for real populations, an extension for changing population sizes is discussed.
