  The long-term behaviors of flows of continuous-state branching processes are
characterized through subordinators and extremal processes. The extremal
processes arise in the case of supercritical processes with infinite mean and
of subcritical processes with infinite variation. The jumps of these extremal
processes are interpreted as specific initial individuals whose progenies
overwhelm the population. These individuals, which correspond to the records of
a certain Poisson point process embedded in the flow, are called
super-individuals. They radically increase the growth rate to $+\infty$ in the
supercritical case, and slow down the rate of extinction in the subcritical
one.
