The genomes of contemporary humans contain considerable information about the history of
our species. Although the general contours of human evolutionary history have been …

Coalescent theory is the study of random processes where particles may join each other to
form clusters as time evolves. These notes provide an introduction to some aspects of the …

Time-calibrated phylogenies of extant species (referred to here as 'extant timetrees') are
widely used for estimating diversification dynamics. However, there has been considerable …

Whereas most of classical population genetics considers the future of a population given a
starting point, the coalescent considers the present, while taking the past into account. The …

Take a sample of individuals in the fixed-size population model with exchangeable family
sizes. Follow the ancestral lines for the sampled individuals backwards in time to observe …

We consider a class of haploid population models with nonoverlapping generations and
fixed population size N assuming that the family sizes within a generation are exchangeable …

We report a complex set of scaling relationships between mutation and reproduction in a
simple model of a population. These follow from a consideration of patterns of genetic …

A simple genealogical process is found for samples from a metapopulation, which is a
population that is subdivided into a large number of demes, each of which is subject to …

Consider a population model in which there are N individuals in each generation. One can
obtain a coalescent tree by sampling n individuals from the current generation and following …

We investigate conditions under which a model with stochastic demography or population
structure converges to the coalescent with a linear change in timescale. We argue that this is …