@Olivier5,
The "out of Africa" hypotheses has been altered into an"out of Africa and then do the deed with some Neanderthal babes'. C Reich, together with S Paabo have done some really innovative analyses of all the Dna sites in various populations. It appears that the H ss folks hve about 2.5% Neanderthl genes (as sequenced by Paabo between 1997 and 2007). There my be more but they've only been able to sequence about 98% of the NEanderthal genome. The population statistics show, from INDIGENOUS populations of European regions where folks hd remained static for severl generations, that the accumulation of NEanderthal genes does provide a newer tale of what happened to Neanderthals.
They were not very capable users of resources
Severl of the NEanderthl women were accepted by Hss and hd interbred
over a thousand generations or more, the H n's just became assumed into the growing Hss population
The fact that indigenous African DNA does NOT contain any of that from Neanderthals gives a story that H erectus or H heidelbergensis were common ancestors of both Hn and Hs (Hs was the common ancestor of Hss /H idaltu and H denisova )