Publications - Working papers
Please find below working papers of our group. Currently, we list 58 working papers.
In the list are only not published papers present. If you look for a preprint of an already published paper you must look in the "Published papers" section.
If you have problems accessing electronic information, please let us know:
©NOTICE: All working papers are copyrighted by the authors; If you would like to use all or a portion of any paper, please contact the author.
An Age Dependent Branching Model for Macroevolution
Stephanie Keller-Schmidt, Murat Tugrul, Victor M. Eguiluz, Emilio Hernandez-Garcia, Konstantin Klemm
Download
[ PDF ]
Abstract
The imbalance of phylogenetic trees exhibits a systematic
deviation from the expectation of a purely random tree growth
process as in the Yule or ERM models. Here we introduce an age
dependent growth model based on the hypothesis that speciation
rate is a decreasing function of the waiting time since the
last speciation. We find that the imbalance in terms of the
mean distance of tips from root (Sackin index) grows as $(\log
n)^2$ in leading order with tree size $n$. This result is in
good agreement with the trend observed by exhaustive analysis
of the phylogenetic databases TreeBASE and PANDIT. Exact
likelihood computation of the model on the trees up to 20 tips
contained in the databases is performed. Higher likelihoods
values are found when compared with a previously suggested
model.
Keywords
macroevolution, phylogenetic trees, branching models, imbalance