A mathematical foundation for the analysis of cladistic character compatibility
Mathematical BiosciencesPublished 1 January 1976Open access
George F. Estabrook, Carlos Johnson, F.R. McMorris
Citations133
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
The concept of “binary factors of a cladistic character” is formalized and used to describe and justify an algorithm for checking the compatibility of a set of characters.
Abstract
Using formal algebraic definitions of "cladistic character" and "character compatibility", the concept of "binary factors of a cladistic character" is formalized and used to describe and justify an algorithm for checking the compatibility of a set of characters. The algorithm lends itself to the selection of maximal compatible subsets when compatibility fails.
Keywords
Computer ScienceMedicine
EvolutionA METHOD FOR DEDUCING BRANCHING SEQUENCES IN PHYLOGENY
682 Citations1965Joseph H. Camin, Robert R. Sokal
With the advent of relatively objective classifications, such as the phenetic classifications produced by the operational techniques of numerical taxonomy, it was inevitable that biologists would wonder what phylogenetic conclusions could be drawn from them and with what reliability.
Systematic ZoologyA Numerical Approach to Phylogenetic Systematics
402 Citations1970James S. Farris, Arnold G. Kluge +1 more
Principles abstracted from Hennig (1966) are used as axioms to form a quantitative analog of phylogenetic systematics and a close connection is demonstrated between phylogenetics and most parsinlonious trees.
Systematic ZoologyA Method of Selection of Characters in Numerical Taxonomy
247 Citations1969W. J. Le Quesne
A method of selecting from a data matrix the characters most likely to lead to valid phylogenetic conclusions is put forward, based on the concept of a uniquely derived character and its logical consequences, and a coefficient of character-stato randomness is defined which gives a measure of how far the distribution of characters is random between the different characters.
Systematic ZoologyA Consistency Test for Phylogenies Based on Contemporaneous Species
170 Citations1965Edward O. Wilson
This paper presents an extreme form of phylogenetic hypothesis, which perhaps cannot be decisively proven on the basis of contemporaneous species, and is anything of biological significance to be gained by the procedure?
Mathematical BiosciencesAn idealized concept of the true cladistic character
131 Citations1975George F. Estabrook, Carlos Johnson +1 more
A series of definitions leading to a clear ideal concept of true cladistic character is presented, which includes definitions of the concepts: evolutionary unit, qualitative taxonomic character, monophyletic group, divergent character, truecladistic character, operational cladists character, and the post-factum ideal relation between an operational cladism character and an estimate of cladistic history.
TaxonEVOLUTION OF GRASSES AND GRASSLANDS IN SOUTH AMERICA
117 Citations1975A. Burkart
This is a discussion of the South American grasslands from the standpoint of their evolution and composition, and the tribes are considered in relation to climate, and grasses are classified as mega-, meso-, or microthermic with respect to their temperature requirements.
Discrete MathematicsAn algebraic analysis of cladistic characters
72 Citations1976George F. Estabrook, Carlos Johnson +1 more
Semilattice theory is used to give an algebraic formulation of the ideas involved in the estimation of evolutionary history and to give rigorous proofs of theorems which justify certain operational procedures in current use.
TaxonA SIMPLE TEST FOR THE POSSIBLE SIMULTANEOUS EVOLUTIONARY DIVERGENCE OF TWO AMINO ACID POSITIONS
53 Citations1975George F. Estabrook, Leslie R. Landrum
A simple test to determine when it is not possible for two amino acid (or nucleotide) positions to be divergent at the same time is described.