Multivariate models are of great importance in theoretical and applied quantitative genetics.
We extend quantitative genetic theory to accommodate situations in which there is linear …

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 …

When a polygenic character is exposed to natural selection in which the curve giving fitness
as a function of phenotype is a mixture of two Gaussian (normal) curves, the population may …

A consequence of the assumptions of the infinitesimal model, one of the most important
theoretical foundations of quantitative genetics, is that phenotypic traits are predicted to be …

Inferences about genetic values and prediction of phenotypes for a quantitative trait in the
presence of complex forms of gene action, issues of importance in animal and plant …

The finite polygenic model approximates polygenic inheritance by postulating that a
quantitative trait is determined by n independent, additive loci. The 3 n possible genotypes …

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 …

In this paper, the regulatory interactions between genes are modeled by a linear genetic
network that is estimated from gene expression data. The inference of such a genetic …

One of the major advances in mathematical genetics in recent years, and one which we owe
to Australia, is the technique of computer simulation, announced in a paper by Dr. Fraser …

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 …