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Updated: Jun 11, 2026

Following the Dynamics of Structural Variants in Experimentally Evolved Populations
Published on: February 3, 2023
Coalescent approximation for structured populations in a stationary random environment
S Sagitov1, P Jagers, V Vatutin
1Mathematical Statistics, Chalmers University of Technology and University of Gothenburg, SE-412 96 Gothenburg, Sweden. serik@chalmers.se
Abstract:
We establish convergence to the Kingman coalescent for the genealogy of a geographically-or otherwise-structured version of the Wright-Fisher population model with fast migration. The new feature is that migration probabilities may change in a random fashion. This brings a novel formula for the coalescent effective population size (EPS). We call it a quenched EPS to emphasize the key feature of our model - random environment. The quenched EPS is compared with an annealed (mean-field) EPS which describes the case of constant migration probabilities obtained by averaging the random migration probabilities over possible environments.
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