  We present a study of the behavior of two different figures of merit for
quantum correlations, entanglement of formation and quantum discord, under
quantum channels showing how the former can, counterintuitively, be more
resilient to such environments spoiling effects. By exploiting strict
conservation relations between the two measures and imposing necessary
constraints on the initial conditions we are able to explicitly show this
predominance is related to build-up of the system-environment correlations.
