  We investigate the nature of the classical low-velocity structures in the
local velocity field, i.e. the Pleiades, Hyades and Sirius moving groups. After
using a wavelet transform to locate them in velocity space, we study their
relation with the open clusters kinematically associated with them. By directly
comparing the location of moving group stars in parallax space to the
isochrones of the embedded clusters, we check whether, within the observational
errors on the parallax, all moving group stars could originate from the
on-going evaporation of the associated cluster. We conclude that, in each
moving group, the fraction of stars making up the velocity-space overdensity
superimposed on the background is higher than the fraction of stars compatible
with the isochrone of the associated cluster. These observations thus favour a
dynamical (resonant) origin for the Pleiades, Hyades and Sirius moving groups.
