A new approach for describing the evolution of polygenic traits subject to selection and
mutation is presented. Differential equations for the change of cumulants of the allelic …

A quantitative genetic model for the response of the distribution of a single metric trait to
directional selection is investigated. Particular attention is paid to the performance of …

The distributions of the mean phenotype and of the genetic variance of a polygenic trait
under a balance between mutation, stabilizing selection and genetic drift are investigated …

Population genetics is concerned with the study of the genetic, ecological, and evolutionary
factors that influence and change the genetic composition of populations. The emphasis …

We revisit the classical population genetics model of a population evolving under
multiplicative selection, mutation, and drift. The number of beneficial alleles in a multilocus …

Equations for changes in the mean, variance and higher-order moments of a quantitative
trait are used to address the maintenance of heritable variation by mutation-selection …

To show the importance of stochastic processes in the change of gene frequencies, the
authors discuss topics ranging from molecular evolution to two-locus problems in terms of …

The evolutionary dynamics of the joint distribution of genotypes and phenotypes is studied.
The model, originally devised to study the joint effects of Mendelian and other types of …

Assuming age-independent fertilities and mortalities and random mating, continuous-time
models for a monoecious population are investigated for weak selection. A single locus with …

Conventional population genetics uses as primitive variables the frequencies and fitnesses
of individual genes. This paper develops a formalism whose primitive variables are the …