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1982
DOI: 10.1017/s0021900200034446
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On the genealogy of large populations

Abstract: A new Markov chain is introduced which can be used to describe the family relationships among n individuals drawn from a particular generation of a large haploid population. The properties of this process can be studied, simultaneously for all n, by coupling techniques. Recent results in neutral mutation theory are seen as consequences of the genealogy described by the chain.

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Cited by 710 publications
(866 citation statements)
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“…The method derives from coalescence theory (Kingman, 1982), as the shape of a genealogy depends on the demographic history. More specifically, the generalized skyline plot uses a step function and the genealogy to represent estimated changes in effective population size (Ne) over time.…”
Section: Mtdna-igsmentioning
confidence: 99%
“…The method derives from coalescence theory (Kingman, 1982), as the shape of a genealogy depends on the demographic history. More specifically, the generalized skyline plot uses a step function and the genealogy to represent estimated changes in effective population size (Ne) over time.…”
Section: Mtdna-igsmentioning
confidence: 99%
“…Moreover, this probability distribution on trees is precisely the same as that given by a quite different process, namely Kingman's coalescent process [9] in population genetics, which starts at the leaves and successively combines pairs of elements, provided that, once again, we ignore branch lengths ( [1]). …”
Section: Cladesmentioning
confidence: 92%
“…Meuwissen and Goddard [13] inferred pair-wise IBD probabilities between haplotypes using the coalescent theory, which is an approximate representation of genealogies [7,8]. The coalescent recreates the phylogenetic tree among current population members proceeding backwards in time, until a single expected common ancestor is reached, and all lineages have merged.…”
Section: A Coalescent-based Methodsmentioning
confidence: 99%
“…These parameters were not used in Meuwissen and Goddard's work, instead, the coalescent theory was applied [7,8], and henceforth their method will be called the coalescent (-based) method (CM). Our method uses a regression approach, henceforth called regression (-based) method (RM), to predict IBD L as a function of θ k , p and IBS at markers (x).…”
Section: Introductionmentioning
confidence: 99%