Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

A Mathematical Theory of Natural and Artificial Selection, Part V: Selection and Mutation

Mr J. B. S. Haldanea1

a1 Trinity College.

New factors arise in a species by the process of mutation. The frequency of mutation is generally small, but it seems probable that it can sometimes be increased by changes in the environment (1,2). On the whole mutants recessive to the normal type occur more commonly than dominants. The frequency of a given type of mutation varies, but for some factors in Drosophila it must be less than 10−6, and is much less in some human cases. We shall first consider initial conditions, when only a few of the new type exist as the result of a single mutation; and then the course of events in a population where the new factor is present in such numbers as to be in no danger of extinction by mere bad luck. In the first section the treatment of Fisher (3) is followed.

(Received May 21 1927)

(Revised July 25 1927)