Motoo Kimura's Use of Diffusion Theory in Population Genetics
Theor Popul Biol, 49 (2):
154-188 (April 1996)Abstract
An excellent review of the early application of diffusion theory (and
much else besides) to population genetics has been given by Nagylaki
(1989), who concentrated particularly on the contributions by Malecot, but
also discussed those by Kolmogorov, Wright, Fisher, Bartlett, Khintchine,
and Kimura, among many others. Kimura has written several review articles which summarised his own diffusion work. One major one
appeared in two forms: Kimura (1964); others were Crow and Kimura
(1956), Kimura (1970b, 1971, 1974, 1986b). The last two chapters of the
book by Crow and Kimura (1970) are devoted to diffusion theory. An
appendix to the book by Kimura and Ohta (1971) and Chapter 8 in
Kimura's (1983a) main exposition of neutral theory contain further
material on diffusions. Here, we shall concentrate on some of his published
papers, and then, only on the diffusion theory aspects. There being
approximately 170 publications altogether, it is a daunting task to review
even a fraction of them!