2020/12/01 by Jochen Blath, Blath, Jochen, Noemi Kurt +1
Mathematics · #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE) #Primary 60K35 #Probability (math.PR) #Secondary 92D10 #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.2012.00810
openalex publication_date 2020/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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, namely the (continuous) seed bank diffusion and the seed bank diffusion with jumps, as well as their dual processes, the seed bank coalescent and the seed bank coalescent with simultaneous switching.