Out of Africa or multiregional

Which hypothesis is correct, leaving aside that the majority of academia chooses the first one for unknown reasons? The limited fossil record seem to match both.

>>2
Actually, some species like homo erectus and Neanderthals (perhaps not a species, but still went extinct for some reason) migrated into India and Europe, respectively, before they were out-competed by homo sapiens. Homo erectus, I believe, have already reached to the Arabian penninsula before homo sapiens started to appear.