Mathematics Department
Title:
Abstract:
The effective size (Ne) of a population determines its rate of loss
of alleles to random genetic drift. Previous moment-based estimators of Ne
exist, but an improved method (due to EC Anderson, EG Williamson, and EA
Thompson) allows for maximum likelihood estimation. The data are modeled
as observations from an underlying Wright-Fisher population, and the likelihood
curve estimated by a forward-backward derived importance sampler. Similar
methods might be applied to hidden Markov models in a broader context.