Multi-colony Wright-Fisher with seed-bank
Giulia Pederzani, Frank den Hollander

TL;DR
This paper extends the Wright-Fisher model to multiple colonies with seed-banks, deriving formulas for genetic identity probabilities considering migration, mutation, and seed-bank dynamics, especially in large, symmetric, slow seed-bank scenarios.
Contribution
It introduces a multi-colony Wright-Fisher model with seed-bank, providing explicit formulas for identity by descent and analyzing their scaling behavior in large populations.
Findings
Derived a Fourier-based formula for identity by descent probabilities.
Analyzed the impact of seed-bank and migration on genetic similarity.
Obtained explicit scaling expressions for large torus populations.
Abstract
We consider a multi-colony version of the Wright-Fisher model with seed-bank that was recently introduced by Blath et al. Individuals live in colonies and change type via resampling and mutation. Each colony contains a seed-bank that acts as a genetic reservoir. Individuals can enter the seed-bank and become dormant or can exit the seed-bank and become active. In each colony at each generation a fixed fraction of individuals swap state, drawn randomly from the active and the dormant population. While dormant, individuals suspend their resampling. While active, individuals resample from their own colony, but also from different colonies according to a random walk transition kernel representingmigration. Both active and dormant individuals mutate. We derive a formula for the probability that two individuals drawn randomly from two given colonies are identical by descent, i.e., share a…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsEvolution and Genetic Dynamics · Evolutionary Game Theory and Cooperation · Mathematical and Theoretical Epidemiology and Ecology Models
