Necessary conditions for the method of inferring phylogeny by linear invariants

DOI10.1016/0025-5564(91)90091-VzbMath0715.92014OpenAlexW1988407986WikidataQ52457142 ScholiaQ52457142MaRDI QIDQ752048

James A. Cavender

Publication date: 1991

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(91)90091-v

zbMATH Keywords

semigroupslinear constraintsevolutionary treeslinear invariantstransition matricesMarkov transition matricesnucleic acid sequences

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Algebraic systems of matrices (15A30) Stochastic matrices (15B51)

Related Items

Probabilistic models in cluster analysis ⋮ A remarkable nonlinear invariant for evolution with heterogeneous rates ⋮ Necessary and sufficient conditions for the existence of linear invariants in phylogenetic inference ⋮ Construction of linear invariants in phylogenetic inference ⋮ Necessary and sufficient conditions for the existence of certain quadratic invariants under a phylogenetic tree

Cites Work

• Invariants of phylogenies in a simple case with discrete states
• Statistical analysis of hominoid molecular evolution
• Estimation of evolutionary distances between homologous nucleotide sequences.
• Unnamed Item

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