He married Valerie Crompton, a historian at the University of Sussex in 1964, and in … Thank you for sharing this Genetics article. This led Kingman (1977a) to a theory of coherent random walks in space of d dimensions, at the price of no extra algebra. Kingman (1982b) covers much the same ground in a more mathematical way, but a more important article is Kingman (1982c). In Kingman (1977b), a different approach to that formula was introduced. If we had asked what the equations meant in probabilistic terms, we could not have missed the significance of the family tree or the simplification that comes if mutation is nonrecurrent (or if the mutant is independent of the parent). a.async=true;a.type="text/javascript";b.parentNode.insertBefore(a,b)}, 1); Our host at Iowa State, Oscar Kempthorne, had gathered an impressive group of participants, both mathematicians and biologists, and we discussed the problems of population genetics far into the night. "+Math.floor(new Date().getTime()/3600000); Watterson shows precisely that a population whose gene frequencies have this joint distribution will satisfy the Ewens sampling formula. Whittle left Cambridge for the University of Manchester, and, rather than follow him there, Kingman moved instead to the University of Oxford, where he resumed his work under David Kendall. This proves strong robustness results and goes a long way to explaining why the coalescent is useful for a wide range of neutral models. The subsection after that describes the stochastic process known as the coalescent, or sometimes Kingman’s coalescent in honor of … The argument starts from the observation that the Wright-Fisher multinomial model is equivalent to the rule that each member of a generation chooses its mother at random from the previous generation, the choices of different members being independent.
What is surprising is that these rather simple ideas took so long to emerge.