# Lines of descent in the deterministic mutation-selection model with pairwise interaction

@article{Baake2018LinesOD, title={Lines of descent in the deterministic mutation-selection model with pairwise interaction}, author={Ellen Baake and Fernando Cordero and Sebastian Hummel}, journal={arXiv: Probability}, year={2018} }

We consider the mutation-selection differential equation with pairwise interaction and establish the corresponding ancestral process, which is a random tree and a variant of the ancestral selection graph. The formal relation to the forward model is given via a duality relation. To make the tree tractable, we prune branches upon mutations, thus reducing it to its informative parts. The hierarchies inherent in the tree are encoded systematically via ternary trees with weighted leaves; this leads…

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