  Strangeness enhancement and collective flow are considered signatures of the
quark gluon plasma formation. These phenomena have been detected not only in
relativistic heavy ion collisions but also in high energy, high multiplicity
events of proton-proton and proton-nucleus ("small systems") scatterings.
Indeed, a universal behavior emerges by considering the parton density in the
transverse plane as the dynamical quantity to specify the initial condition of
the collisions. On the other hand, $e^+ e^-$ annihilation data at LEP and lower
energies indicate that there is no strangeness enhancement and no flow-like
effect. We show that the parton density in the transverse plane generated in
$e^+ e^-$ annihilation at the available energy is too low to expect such
effects. The event-by-event multiplicity where strangeness suppression and
flow-like phenomenon could show up in $e^+ e^-$ is evaluated.
