Summary:
This project is devoted to interacting particle systems that describe the joint action of mutation and selection in populations with pairwise interaction between individuals, such as the diploid Moran model. The aim is to understand the lines of descent of such populations in the distant past. To this end, we will develop ancestral graphs that generalize the pruned look-down ancestral selection graph, and use them to investigate the ancestral lines and their type distribution, with the help of methods from duality and diffusion theory.
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19007
Fernando Cordero, Sebastian Hummel, Emmanuel Schertzer PDF
General selection models: Bernstein duality and minimal ancestral structures Project: C1 |
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18062
Ellen Baake, Fernando Cordero, Sebastian Hummel PDF
Lines of descent in the deterministic mutation-selection model with pairwise interaction Project: C1 |
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18020
Fernando Cordero, Martin Möhle PDF
Project: C1 Published: Journal of Mathematical Analysis and Applications 474, no. 2 (2019), 1049–1081
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On the stationary distribution of the block counting process for population models with mutation and selection |
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18009
Ellen Baake, Fernando Cordero, Sebastian Hummel PDF
Project: C1 Published: J. Math. Biol. 77 (2018), 795-820
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A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent |
