2-Vertex Motifs

Nicolas Alcala; Amy Goldberg; Uma Ramakrishnan; Noah A Rosenberg

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2-Vertex Motifs

NA Nicolas Alcala

AG Amy Goldberg

UR Uma Ramakrishnan

NR Noah A Rosenberg

This method is extracted from research article: Mol Biol Evol, Jun 2019

Coalescent Theory of Migration Network Motifs

DOI: 10.1093/molbev/msz136

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In the case of two subpopulations, $M_{12} = M_{21} = M_{1} = M_{2} = M$ . Equation (8) then simplifies to

This system and its solution were derived by Nath and Griffiths (1993). Setting M = 0 and solving the system for ${\bar{t}}_{11}, {\bar{t}}_{22}$ , and ${\bar{t}}_{12}$ gives the expected pairwise coalescence times of motif 2 (table 2). Considering M > 0 and solving the system gives the expected pairwise coalescence times of motif 3 (table 2).

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

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