Genealogy of a Wright-Fisher Model with Strong SeedBank Component

  • Jochen Blath
  • Bjarki Eldon
  • Adrián González Casanova
  • Noemi Kurt
Conference paper
Part of the Progress in Probability book series (PRPR, volume 69)


We investigate the behaviour of the genealogy of a Wright-Fisher population model under the influence of a strong seedbank effect. More precisely, we consider a simple seedbank age distribution with two atoms, leading to either classical or long genealogical jumps (the latter modeling the effect of seed-dormancy). We assume that the length of these long jumps scales like a power Nβ of the population size N, thus giving rise to a ‘strong’ seedbank effect. For a certain range of β, we prove that the ancestral process of a sample of n individuals converges under a non-classical time-scaling to Kingman’s n−coalescent. Further, for a wider range of parameters, we analyze the time to the most recent common ancestor of two individuals analytically and by simulation.


Seedbanks Wright-Fisher model Kingman’s coalescent 

Mathematics Subject Classification (2000).

Primary 60K35 Secondary 92D15 


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Jochen Blath
    • 1
  • Bjarki Eldon
    • 1
  • Adrián González Casanova
    • 1
  • Noemi Kurt
    • 1
  1. 1.Institut für MathematikBerlinGermany

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