Stochastic Processes in Mathematical Population Genetics: Diffusion Processes, Coalescent Trees and Gene Trees

There is a great deal of interest in population genetics in the applied probability and mathematical biology communities. This book provides an overview of applied probability methods in mathematical population genetics. It presents various techniques in a unified mathematical framework, covering evolutionary models, diffusion processes, coalescent theory, gene trees, ancestral inference and more. The methods are illustrated through real examples, and there are some exercises to enable the book to be used for teaching at graduate and postgraduate levels.