Project C1: Ancestral lines in population models with interaction
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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.
Recent Preprints:
20114
Ellen Baake, Luigi Esercito, Sebastian Hummel PDF
Lines of descent in a Moran model with frequency-dependent selection and mutation
Project:
C1
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Lines of descent in a Moran model with frequency-dependent selection and mutation
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20100
Fernando Cordero, Adrián González Casanova, Jason Schweinsberg, Maite Wilke-Berenguer PDF
$\Lambda$-coalescents arising in populations with dormancy
Project:
C1
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$\Lambda$-coalescents arising in populations with dormancy
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20043
Frederic Alberti, Ellen Baake, Ian Letter, Servet Martinez PDF
Solving the migration-recombination equation from a genealogical point of view
Project:
C1
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Solving the migration-recombination equation from a genealogical point of view
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20031
Fernando Cordero, Grégoire Véchambre PDF
Moran model and Wright-Fisher diffusion with selection and mutation in a one-sided environment
Project:
C1
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Moran model and Wright-Fisher diffusion with selection and mutation in a one-sided environment
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20030
Ellen Baake, Frederic Alberti PDF
Solving the selection-recombination equation: Ancestral lines under selection and recombination
Project:
C1
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Solving the selection-recombination equation: Ancestral lines under selection and recombination
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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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General selection models: Bernstein duality and minimal ancestral structures
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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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Lines of descent in the deterministic mutation-selection model with pairwise interaction
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18020
Fernando Cordero, Martin Möhle PDF
On the stationary distribution of the block counting process for population models with mutation and selection
Project:
C1
Published: Journal of Mathematical Analysis and Applications 474 (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
A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent
Project:
C1
Published: Journal of Mathematical Biology 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
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