  We investigate the behaviour of the genealogy of a Wright-Fisher population
model under the influence of a strong seed-bank effect. More precisely, we
consider a simple seed-bank 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 $N^\beta$ of the original population size $N$, thus giving rise to a
`strong' seed-bank effect. For a certain range of $\beta$, 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.
