When Not to Use Diffusion Processes in Population Genetics
page 57--70. Princeton University Press, (1989)Abstract
The use of diffusion processes to approximate the dynamics of population genetics models has yielded insights that would be unapproachable by exact methods. Wright (1931, 1945) laid the foundations with techniques that he developedde novoto obtain stationary densities and leading eigenvalues of processes that arise in population genetics. Building on Wright’s results, Kimura (1955, 1964) pioneered work on the transient properties of diffusions through the use of the forward equation to obtain transient densities and through the backward equation to obtain fixation probabilities. The Australian group (Moran 1962; Watterson 1962; Ewens 1964, 1965) did the most important early