Geometry of the space of phylogenetic trees
Geometry of the space of phylogenetic trees
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DOI：
10.1006/aama.2001.0759
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发表时间：
2001-11-01
影响因子：
1.1
通讯作者：
Vogtmann, K
中科院分区：
文献类型：
--
作者：
Billera, LJ;Holmes, SP;Vogtmann, K
我们考虑一个连续空间，它对所有系统发育树的集合建模，这些树具有固定的一组叶子。这个空间有一个非正曲率的自然度量，提供了一种测量系统发育树之间距离的方法，并提供了一些对几棵叶子相同的树进行平均或组合的程序。该几何图形还显示了哪些树木出现在给定树木的固定距离内，并允许构建一组树木的凸壳。这种树木空间的几何模型提供了一个环境，在这个环境中，生物学家和统计学家在过去十年中提出的问题可以以一种系统的方式得到解决。例如，它为忽略树集合中一致的部分提供了理由，从而简化了进行比较的空间。(C) 2001 Elsevier Science。
We consider a continuous space which models the set of all phylogenetic trees having a fixed set of leaves. This space has a natural metric of nonpositive curvature, giving a way of measuring distance between phylogenetic trees and providing some procedures for averaging or combining several trees whose leaves arc identical. This geometry also shows which trees appear within a fixed distance of a given tree and enables construction of convex hulls of a set of trees. This geometric model of tree space provides a setting in which questions that have been posed by biologists and statisticians over the last decade can be approached in a systematic fashion. For example, it provides a justification for disregarding portions of a collection of trees that agree, thus simplifying the space in which comparisons are to be made. (C) 2001 Elsevier Science.