论文标题

使用祖传轮廓定义系统发育网络

Defining phylogenetic networks using ancestral profiles

论文作者

Bai, Allan, Erdos, Peter, Semple, Charles, Steel, Mike

论文摘要

当网状进化过程发挥作用时,根源的系统发育网络比系统发育树提供了比系统发育树之间的祖先关系更完整的表示。重建系统发育网络的一种方法是考虑其“祖先轮廓”(每个祖先顶点到每个叶片的路径数)。通常,此信息不能唯一确定潜在的系统发育网络。最近的一篇论文考虑了一种新的系统发育网络,称为“果园网络”,在该网络中声称具有这种独特性。在这里,我们表明需要对网络的附加限制,即“无堆栈”,以使原始的唯一性主张所持有。另一方面,如果取消了额外的无堆栈限制,我们会建立另一种结果。也就是说,在果园网络类别内具有独特性,直到分辨出高度的顶点。

Rooted phylogenetic networks provide a more complete representation of the ancestral relationship between species than phylogenetic trees when reticulate evolutionary processes are at play. One way to reconstruct a phylogenetic network is to consider its `ancestral profile' (the number of paths from each ancestral vertex to each leaf). In general, this information does not uniquely determine the underlying phylogenetic network. A recent paper considered a new class of phylogenetic networks called `orchard networks' where this uniqueness was claimed to hold. Here we show that an additional restriction on the network, that of being `stack-free', is required in order for the original uniqueness claim to hold. On the other hand, if the additional stack-free restriction is lifted, we establish an alternative result; namely, there is uniqueness within the class of orchard networks up to the resolution of vertices of high in-degree.

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