Kingman’s coalescent

E776493

coalescent process mathematical model population genetics model stochastic process

Kingman’s coalescent is a fundamental stochastic model in population genetics that describes the ancestral genealogy of a sample of genes by tracing their lineages backward in time until they coalesce into common ancestors.

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Statements (49)

Predicate	Object
instanceOf	coalescent process ⓘ mathematical model ⓘ population genetics model ⓘ stochastic process ⓘ
assumes	binary mergers of ancestral lineages ⓘ exchangeable individuals ⓘ large constant effective population size ⓘ neutral evolution ⓘ
describes	ancestral genealogy of a sample of genes ⓘ genealogical tree of sampled individuals ⓘ
extendedBy	coalescent with recombination ⓘ coalescent with selection ⓘ structured coalescent ⓘ variable population size coalescent ⓘ
field	mathematical biology ⓘ population genetics ⓘ probability theory ⓘ
generalizedBy	Λ-coalescent NERFINISHED ⓘ Ξ-coalescent ⓘ
hasApplication	human genetic variation studies ⓘ viral phylodynamics ⓘ
hasConcept	genealogy of a sample ⓘ most recent common ancestor ⓘ
hasProperty	Markov process in continuous time ⓘ at most two lineages coalesce at a time ⓘ coalescence rate for any pair of lineages is constant ⓘ non-overlapping generations in standard derivation ⓘ population is panmictic ⓘ population size is effectively constant ⓘ sample size is finite ⓘ starts with n lineages and ends with a most recent common ancestor ⓘ time is measured backward from the present ⓘ total coalescence rate when k lineages remain is k(k−1)/2 times the pairwise rate ⓘ waiting times between coalescent events are exponentially distributed ⓘ
introducedIn	early 1980s ⓘ
isLimitOf	Moran model as population size tends to infinity ⓘ Wright–Fisher model as population size tends to infinity ⓘ
models	coalescence of ancestral lineages ⓘ lineages traced backward in time ⓘ
namedAfter	John F. C. Kingman NERFINISHED ⓘ
relatedTo	Moran model NERFINISHED ⓘ Wright–Fisher model NERFINISHED ⓘ
usedFor	Bayesian phylogenetic inference ⓘ computing likelihoods of genetic data ⓘ estimating effective population size ⓘ estimating mutation rates ⓘ inference of population genetic parameters ⓘ inferring demographic history ⓘ modeling genealogies under neutrality ⓘ

Referenced by (1)

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Sir John Kingman → notableWork → Kingman’s coalescent ⓘ