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Simple models for scaling in phylogenetic trees | | Emilio Hernandez-Garcia
; Murat Tugrul
; E. Alejandro Herrada
; Victor M. Eguiluz
; Konstantin Klemm
; | | Date: |
21 Oct 2008 | | Abstract: | Many processes and models produce trees with depth scaling logarithmically
with the number of leaves. Phylogenetic trees, describing the evolutionary
relationships between biological species, are examples of trees for which such
scaling is not observed. With this motivation, we analyze numerically two
branching models leading to non-logarithmic depth scaling. For the first one,
Ford’s alpha model, power-law scaling in the depth was established
analytically. Our numerical results illustrate that the asymptotic regime is
approached only at very large tree sizes. A second model, the activity model,
is introduced here. We show analytically and numerically that its depth also
displays power-law scaling at a critical parameter value. | | Source: | arXiv, 0810.3877 | | Services: | Forum | Review | PDF | Favorites | |
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