  The concordance model is successful in explaining numerous observable
phenomena at the price of introducing an exotic source of unknown origin: dark
energy. Dark energy dominance occurs at recent epochs, when we expect most
cosmological structures to have already formed, and thus, when the error
induced by forcing the homogeneous FLRW metric onto the data is expected to be
the most significant. We propose a way to quantify the impact of deviations
from homogeneity on the evolution of cosmological parameters. Using a
multi-scale partitioning approach and the virialization fraction estimated from
numerical simulations in an Einstein-de Sitter model, we obtain an
observationally realistic distance modulus over redshifts 0 < z < 3 by a
relativistic correction of the FLRW metric.
