This is something of a quibble, but you really shouldn't think of species-level selection as a kind of group selection. In both group and individual selection, it is the species that evolves. But in species-level selection, the species does not evolve. It is selected - it either lives or dies.

Sorry, but I think this is completely wrong. Species-level selection isn't "like" group selection. It is group selection. In group selection, groups are selected for or against. That is the mechanism for group selection. That is the mechanism for group initially described by Darwin in chapter 4 of Descent of Man, and defended by Edward Wilson. It just happens not to be the straw-man depiction used by some opponents of group selection. They chose to ignore selection at the group level because it is easier to rebut group selection if you first assume that it doesn't happen.

Can you provide a reference for that usage?