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- W2333750601 abstract "The problem of identifying all of the possible tree cross sections in a given slice of time for an observed change of the diversity is solved using the theory of branching processes and the multinomial theorem. The methods can be used in exploratory fashion to examine the ways in which the numbers of possible cross sections and their properties can differ with the starting and ending diversities, for instance. But, because tree cross sections can be stacked together, the methods can also be applied to answering certain statistical questions regarding complete phylogenetic trees. A phylogenetic tree for the Elephantidae (Mammalia) is tested for statistical significance using the methods developed. Because the focus is on examining the possible tree cross sections and complete trees for observed changes of diversity, the solution may be of particular value for testing hypotheses about phylogenetic trees that are constructed using data from paleontology. (Phylogenetic trees; cladograms; phylogenetic reconstruction; paleontology.) The tree of life on Earth, if it could be examined, would be found to include all species that ever existed, both living and extinct. A sufficiently thin slice of the tree, representing a short interval of time and here termed a cross section of the tree, would reveal that three sorts of species entered the interval: species that will merely pass through the interval, species that will branch during the interval, and species that will become extinct during the interval. As" @default.
- W2333750601 created "2016-06-24" @default.
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- W2333750601 date "1991-03-01" @default.
- W2333750601 modified "2023-09-27" @default.
- W2333750601 title "Cross Sections Through Evolutionary Trees: Theory and Applications" @default.
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- W2333750601 doi "https://doi.org/10.1093/sysbio/40.1.19" @default.
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