Ancestral processes are fundamental to modern population genetics and spatial structure has been the subject of intense interest for many years. Despite this interest, almost nothing is known about the distribution of the locations of pedigree or genetic ancestors. Using both spatially continuous and stepping-stone models, we show that the distribution of pedigree ancestors approaches a travell...

Genealogy research is centered on collecting records about an individual from various sources and combining the information to gain a larger historical perspective about that individual, commonly in the form of a pedigree. Data extraction, the internet, and other technological advancements have made large amounts of digital genealogical data more accessible. Discovering the relevancy of a digit...

A pedigree is a directed graph that describes how individuals are related through ancestry in a sexually-reproducing population. In this paper we explore the question of whether one can reconstruct a pedigree by just observing sequence data for present day individuals. This is motivated by the increasing availability of genomic sequences, but in this paper we take a more theoretical approach an...

A linkage analysis for finding inheritance states and haplotype configurations is an essential process for linkage and association mapping. The linkage analysis is routinely based upon observed pedigree information and marker genotypes for individuals in the pedigree. It is not feasible for exact methods to use all such information for a large complex pedigree especially when there are many mis...

Abstract Quantifying fitness is important to understand adaptive evolution. Reproductive values are useful for making comparisons involving different categories of individuals, like males and females. By definition, the reproductive value a category expected per capita contribution members that gene pool future generations. Life history theory reveals how can be determined via estimation life-h...

Increased concern for the welfare of pedigree dogs has led to development of selection programs against inherited diseases. An example is canine hip dysplasia (CHD), which has a moderate heritability and a high prevalence in some large-sized breeds. To date, selection using phenotypes has led to only modest improvement, and alternative strategies such as genomic selection (GS) may prove more ef...

A pedigree is a directed graph that displays the relationship between individuals according to their parentage. We derive a combinatorial result that shows how any pedigree-up to individuals who have no extant (present-day) ancestors-can be reconstructed from (sex-labelled) pedigrees that describe the ancestry of single extant individuals and pairs of extant individuals. Furthermore, this recon...

The relationship between pairs of individuals is an important topic in many areas of population and quantitative genetics. It is usually measured as the proportion of the genome identical by descent shared by the pair and it can be inferred from pedigree information. But there is a variance in actual relationships as a consequence of mendelian sampling, whose general formula has not been develo...

In the literature an abundance of genomic relationship matrices have been described which mainly differ in the age of the relationships that they trace. Marker based relationship matrices (G) generally trace very old relationships, since the marker mutations occurred. Pedigree (A) and linkage analysis relationship matrices (GLA) trace relationships since pedigree recording started, i.e. since t...

PURPOSE To characterize the clinical features of a Chinese pedigree with Blau syndrome and to identify mutations in the NOD2/CARD15 (nucleotide-binding oligomerization domain containing 2/caspase recruitment domain family, member 15) gene. METHODS Clinical features of this family were evaluated. Genomic DNA was obtained from blood samples, and all exons of NOD2/CARD15 were amplified by polyme...