The probability that related individuals share some section of genome identical by descent.
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Summary
A formal mathematical framework is presented for the study of linkage in man and the concept of chromosome pedigree is defined for both autosomes and X chromosomes, where all the crossover processes in the pedigree may be viewed jointly as a continuous-time Markov random walk on the vertices of a hypercube.
- Type
- article
- Published
- 1983-02-01
- Cited by
- 197
- References
- 25
- OpenAlex
- https://openalex.org/W2021103133
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:45483220
Keywords
Crossover, Identity by descent, Combinatorics, Markov chain, Linkage (software)
References
- Linkage analysis in man.
- Mathematical tables for research workers in human genetics
- Sets and Groups
- The theory of inbreeding
- A First Course on Stochastic Processes
- The distribution of the proportion of the genome which is homozygous by descent in inbred individuals.
- An algebraically exact examination of junction formation and transmission in parent-offspring inbreeding
- Gene identities and multiple relationships.
- A fuller theory of “Junctions” in inbreeding
- Mathematical Tables for Research Workers in Human Genetics
- The mapping of human chromosomes.
- Finite Permutation Groups
- Inference of genealogical structure
- The estimation of pairwise relationships
- The distribution of the fraction of the genome identical by descent in finite random mating populations
- Some general formulations of linkage effects in inbreeding.
- Mapping human chromosomes.
- Concepts of random mating and the frequency of consanguineous marriages
- The Distribution of Heterogeneity Upon Inbreeding
Cited by
- Whole population, genome-wide mapping of hidden relatedness.
- Recursive Algorithms for Modeling Genomic Ancestral Origins in a Fixed Pedigree
- A Robust Approach for Linkage Detection Using Pedigrees
- Monte Carlo likelihood calculation for identity by descent data
- Pedigree-free descent-based gene mapping from population samples
- Common Ancestors in a Generalized Moran model
- Shared Genomic Segment Analysis. Mapping Disease Predisposition Genes in Extended Pedigrees Using SNP Genotype Assays
- IBD Configuration Transition Matrices and Linkage Score Tests for Unilineal Relative Pairs
- Prediction of additive genetic effects for the QTL-cluster on the basis of data on surrounding markers in outbred populations.
- Proportion of genome shared identical by descent by relatives: concept, computation, and applications.
- GENLIB: an R package for the analysis of genealogical data
- On the use of dense SNP marker data for the identification of distant relative pairs.
- A Unified Discussion on the Concept of Score Functions Used in the Context of Nonparametric Linkage Analysis
- Pedigrees or markers: Which are better in estimating relatedness and inbreeding coefficient?
- The probability distribution of the amount of an individual's genome surviving to the following generation.
- Estimating a founder's genomic proportion for each descendant in an outbred pedigree.
- On reducing the statespace of hidden Markov models for the identity by descent process.
- The existence and abundance of ghost ancestors in biparental populations.
- Multilocus Lod Scores in Large Pedigrees: Combination of Exact and Approximate Calculations
- Genome scanning for segments shared identical by descent among distant relatives in isolated populations.
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