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• W2952832837 abstract "Two sequentially Markov coalescent models (SMC and SMC') are available as tractable approximations to the ancestral recombination graph (ARG). We present a Markov process describing coalescence at two fixed points along a pair of sequences evolving under the SMC'. Using our Markov process, we derive a number of new quantities related to the pairwise SMC', thereby analytically quantifying for the first time the similarity between the SMC' and ARG. We use our process to show that the joint distribution of pairwise coalescence times at recombination sites under the SMC' is the same as it is marginally under the ARG, which demonstrates that the SMC' is, in a particular well-defined, intuitive sense, the most appropriate first-order sequentially Markov approximation to the ARG. Finally, we use these results to show that population size estimates under the pairwise SMC are asymptotically biased, while under the pairwise SMC' they are approximately asymptotically unbiased." @default.
• W2952832837 created "2019-06-27" @default.
• W2952832837 creator A5049650069 @default.
• W2952832837 creator A5076357570 @default.
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• W2952832837 date "2015-01-12" @default.
• W2952832837 modified "2023-09-27" @default.
• W2952832837 title "The SMC' is a highly accurate approximation to the ancestral recombination graph" @default.
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• W2952832837 hasPublicationYear "2015" @default.
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