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Quantifying the effects of anagenetic and cladogenetic evolution

Krzysztof Bartoszek (Institutionen för matematiska vetenskaper)
Mathematical Biosciences (0025-5564). Vol. 254 (2014), p. 42-57.
[Artikel, refereegranskad vetenskaplig]

An ongoing debate in evolutionary biology is whether phenotypic change occurs predominantly around the time of speciation or whether it instead accumulates gradually over time. In this work I propose a general framework incorporating both types of change, quantify the effects of speciational change via the correlation between species and attribute the proportion of change to each type. I discuss results of parameter estimation of Hominoid body size in this light. I derive mathematical formulae related to this problem, the probability generating functions of the number of speciation events along a randomly drawn lineage and from the most recent common ancestor of two randomly chosen tip species for a conditioned Yule tree. Additionally I obtain in closed form the variance of the distance from the root to the most recent common ancestor of two randomly chosen tip species.

Nyckelord: Branching diffusion process, Conditioned branching process, Phyletic gradualism, Punctuated equilibrium; Quadratic variation; Yule-Ornstein-Uhlenbeck with jumps process



Denna post skapades 2014-09-18.
CPL Pubid: 202989

 

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