Necessary and sufficient conditions for the existence of linear invariants in phylogenetic inference. |
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Authors: | Y X Fu W H Li |
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Institution: | Center for Demographic and Population Genetics, University of Texas, Houston 77225. |
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Abstract: | 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. |
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