Distribution of Genome Shared IBD by Half-Sibs: Approximation by the Poisson Clumping Heuristic

The distribution of the proportion of genome shared identical by descent (IBD) bychalf-sibs is calculated for a generalc. With data availability the consideration of the chromosome as a whole rather than discrete loci becomes of increasing practical importance. Assuming the genomic continuum model,...

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Published in:Theoretical population biology 1996-08, Vol.50 (1), p.66-90
Main Authors: Bickeböller, Heike, Thompson, Elizabeth A.
Format: Article
Language:English
Subjects:
Crossing Over, Genetic - genetics
Genome, Human
Humans
Markov Chains
Models, Genetic
Pedigree
Poisson Distribution
Reproducibility of Results
Time Factors
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Thompson, Elizabeth A.
description The distribution of the proportion of genome shared identical by descent (IBD) bychalf-sibs is calculated for a generalc. With data availability the consideration of the chromosome as a whole rather than discrete loci becomes of increasing practical importance. Assuming the genomic continuum model, which allows for recombination, the crossover process in a chromosome pedigree is viewed as a continuous-time Markov random walk on the vertices of a hypercube with time parameter map distance along the chromosome. The desired distribution corresponds to the distribution of sojourn times of the process in a small set of vertices. The sojourn times are well approximated via the Poisson clumping heuristic. It is shown explicitly that there is no “equivalent” number of independently segregating loci that will yield the same results as with the genomic continuum model. Results are given for the human genome.
doi_str_mv 10.1006/tpbi.1996.0023
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subjects Crossing Over, Genetic - genetics
Genome, Human
Humans
Markov Chains
Models, Genetic
Pedigree
Poisson Distribution
Reproducibility of Results
Time Factors
title Distribution of Genome Shared IBD by Half-Sibs: Approximation by the Poisson Clumping Heuristic
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