English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider a system of interacting Fisher-Wright diffusions with seed-bank.Individuals carry type one of two types, live in colonies, and are subject toresampling and migration as long as they are active. Each colony has astructured seed-bank into which individuals can retreat to become dormant,suspending their resampling and migration until they become active again. Asgeographic space labelling the colonies we consider a countable Abelian groupendowed with the discrete topology. In earlier work we showed that the systemhas a one-parameter family of equilibria controlled by the relative density ofthe two types. Moreover, these equilibria exhibit a dichotomy of coexistence (=locally multi-type equilibrium) versus clustering (= locally mono-typeequilibrium). We identified the parameter regimes for which these two phasesoccur, and found that these regimes are different when the mean wake-up time ofa dormant individual is finite or infinite.  The goal of the present paper is to establish the finite-systems scheme,i.e., identify how a finite truncation of the system (both in the geographicspace and in the seed-bank) behaves as both the time and the truncation leveltend to infinity, properly tuned together. If the wake-up time has finite mean,then there is a single universality class for the scaling limit. On the otherhand, if the wake-up time has infinite mean, then there are two universalityclasses depending on how fast the truncation level of the seed-bank growscompared to the truncation level of the geographic space.

Spatial populations with seed-bank: finite-systems scheme