4 papers
Branch lengths for geodesics in the directed landscape and mutation patterns in growing spatially structured populations
Shirshendu Ganguly, Jason Schweinsberg, Yubo Shuai
Consider a population that is expanding in two-dimensional space. Suppose we collect data from a sample of individuals taken at random either from the entire population, or from ne…
Estimating the growth rate of a birth and death process using data from a small sample
Carola Sophia Heinzel, Jason Schweinsberg
The problem of estimating the growth rate of a birth and death processes based on the coalescence times of a sample of individuals has been considered by several authors (\cite…
Two waves of adaptation: speciation induced by dormancy in a model with changing environment
Fernando Cordero, Adrián González Casanova, Jason Schweinsberg
We consider a population model in which the season alternates between winter and summer, and individuals can acquire mutations either that are advantageous in the summer and disadv…
The Accumulation of Beneficial Mutations and Convergence to a Poisson Process
Nantawat Udomchatpitak, Jason Schweinsberg
We consider a model of a population with fixed size , which is subjected to an unlimited supply of beneficial mutations at a constant rate . Individuals with beneficia…