Phylogenetic trees of only extant species contain information about the underlying
speciation and extinction pattern. In this review, I provide an overview over the different …

We investigate a neutral model for speciation and extinction, the constant rate birth–death
process. The process is conditioned to have n extant species today, we look at the tree …

Species richness is greatest in the tropics, and much of this diversity is concentrated in
mountains. Janzen proposed that reduced seasonal temperature variation selects for …

I consider the constant rate birth–death process with incomplete sampling. I calculate the
density of a given tree with sampled extant and extinct individuals. This density is essential …

The constant rate birth–death process is used as a stochastic model for many biological
systems, for example phylogenies or disease transmission. As the biological data are …

In this paper, I develop efficient tools to simulate trees with a fixed number of extant species.
The tools are provided in my open source R-package TreeSim available on CRAN. The new …

Phylogenetic comparative methods have been limited in the way they model adaptation.
Although some progress has been made, there are still no methods that can fully account for …

Splitting trees are those random trees where individuals give birth at a constant rate during a
lifetime with general distribution, to iid copies of themselves. The width process of a splitting …

We start with stochastic models of genealogies in discrete time, distinguishing models where
the population size is fixed (models of Cannings, Wright–Fisher, and Moran; compositions of …

A wide range of evolutionary models for species-level (and higher) diversification have been
developed. These models can be used to test evolutionary hypotheses and provide …