NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF LINEAR INVARIANTS IN PHYLOGENETIC INFERENCE

被引:4
作者
FU, YX
LI, WH
机构
[1] Center for Demographic and Population Genetics, University of Texas, Houston, TX 77225
关键词
D O I
10.1016/0025-5564(92)90056-3
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The necessary and sufficient conditions for the existence of linear invariants under semigroups of probability transition matrices are derived. It is found that a biologically meaningful nucleotide substitution model has linear invariants if and only if it is a submodel of one of the three most general models, which include the so-called balanced and unbalanced transversion models. Each of these three general models is a nucleotide substitution model with six parameters.
引用
收藏
页码:203 / 218
页数:16
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