Population genetic models of dormancy

@article{Blath2020PopulationGM,
  title={Population genetic models of dormancy},
  author={Jochen Blath and Noemi Kurt},
  journal={arXiv: Probability},
  year={2020}
}
In the present article, we investigate the effects of dormancy on an abstract population genetic level. We first provide a short review of seed bank models in population genetics, and the role of dormancy for the interplay of evolutionary forces in general, before we discuss two recent paradigmatic models, referring to spontaneous resp. simultaneous switching of individuals between the active and the dormant state. We show that both mechanisms give rise to non-trivial mathematical objects… 
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8 Citations
Background Citations
3
Methods Citations
1

8 Citations

Spatially Inhomogeneous Populations with Seed-Banks: I. Duality, Existence and Clustering
We consider a system of interacting Moran models with seed-banks. Individuals live in colonies and are subject to resampling and migration as long as they are active. Each colony has a seed-bank into…
Extinction threshold and large population limit of a plant metapopulation model with recurrent extinction events and a seed bank component.
Stochastic processes and host-parasite coevolution: Linking coevolutionary dynamics and DNA polymorphism data
TLDR
It is revealed that contrary to classic expectations, fast changes in parasite population size due to eco-evo feedbacks can be tracked by the allelic site-frequency spectrum measured at several time points, and that for most realistic values of the coevolutionary parameters, balancing selection signatures cannot be seen at the host loci.
Spatially inhomogeneous populations with seed-banks: II. Clustering regime
Spatial populations with seed-banks in random environment: III. Convergence towards mono-type equilibrium
We consider the spatially inhomogeneous Moran model with seed-banks introduced in [20]. Populations comprising active and dormant individuals are spatially structured in colonies labelled by Z d , d…
Multiple-merger genealogies: Models, consequences, inference
TLDR
To be used as realistic genealogy models for real populations, an extension for changing population sizes is discussed and mathematical properties concerning clade sizes in the tree as well as changes of the tree when the samples are enlargened are highlighted.
Switching Interacting Particle Systems: Scaling Limits, Uphill Diffusion and Boundary Layer
This paper considers three classes of interacting particle systems on $${{\mathbb {Z}}}$$ Z : independent random walks, the exclusion process, and the inclusion process. Particles are allowed to…
A path-dependent stochastic Gronwall inequality and strong convergence rate for stochastic functional differential equations
We derive a stochastic Gronwall lemma with suprema over the paths in the upper bound of the assumed affine-linear growth assumption. This allows applications to Itˆo processes with coefficients which…

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