Genealogical Genetic Structure

Although the long-term processes of evolution are selection and mutation the infrastructure of a population is a no less important force in determining the distributions of genetic characteristics observable within populations. In small populations and in particular in human populations complex patterns of genealogical relationship between individuals can be an important factor in the maintenance of genetic variability. The aim of this book is to develop the quantitative theory of the interrelationship between the genealogical and the genetic structures of a population. Aspects of other structural features such as migration patterns are also discussed but are not central to the development. There are three major aspects; each comprises two chapters of the text. First genealogical relationships are characterized in a way which can illuminate their genetic consequences. Second the evolutionary aspects of genealogical structure are developed. Finally the last two chapters present methods of characterizing the complete structure of a genealogy and of computing relevant parameters of genealogical structure; these topics are of relevance to genetic epidemiology as well as to population genetics.