# The SMC′ Is a Highly Accurate Approximation to the Ancestral Recombination Graph

@article{Wilton2015TheSI, title={The SMC′ Is a Highly Accurate Approximation to the Ancestral Recombination Graph}, author={Peter R Wilton and Shai Carmi and Asger Hobolth}, journal={Genetics}, year={2015}, volume={200}, pages={343 - 355} }

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 the ARG. We use our process to show that the joint…

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