PT  - JOURNAL ARTICLE
AU  - Krzysztof Bartoszek
TI  - Quantifying the effects of anagenetic and cladogenetic evolution
AID  - 10.1101/005561
DP  - 2014 Jan 01
TA  - bioRxiv
PG  - 005561
4099  - http://biorxiv.org/content/early/2014/11/10/005561.short
4100  - http://biorxiv.org/content/early/2014/11/10/005561.full
AB  - 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.