  This article explores in depth a watershed concept to partition the universe,
introduced in \cite{2019MNRAS.489L...1D} and applied to the {\it Cosmicflows-3}
observational dataset. We present a series of tests conducted with cosmological
dark matter simulations. In particular we are interested in quantifying the
evolution with redshift of large scale structures when defined as segmented
basins of attraction. This new dynamical definition in the field of measuring
standard rulers demonstrates robustness since all basins show a density
contrast $\delta$ above one (mean universe density) independently of the
simulation spatial resolution or the redshift. Another major finding is that
density profiles of the basins show universality in slope. Consequently, there
is a unique definition of what is a gravitational watershed at large scale,
that can be further used as a probe for cosmology studies.
