[Menydh]

Alright, my take is..

You cannot speak in terms of a "minority" for any of those old (ex-)germanic peoples, today. They are dissolved in the host populations, at different degrees (at least in Francia). And even when you think that one looks like "predominantly" of Frankic ancestry, you cannot call him "a Frank" as if he belonged to a different people to those native in France today.

Cirrus has mentioned "The South". I would ask which south. As you move towards the South of Francia (north of Pays d'Oc), I would expect this element to be weaker. But I don't know this for certain so I'm just speculating here.

However, I can well imagine that by "The South" he meant Occitania. Any Frankish element there has to be extremely weak, if it exists at all. Unless we assumed that the Franks were touring around with something else in their hands than the sword. I'm sure that you know what I mean.

In that "South" (Occitania) it was the Goths who settled there. First in Aquitania (West) and then in the Narbonensis (East).

Before speculating on how the Franks came to dominate those regions (and the regions north of them first), it would be useful to have some pointers to the terms of the hospitalitas in the Gallia (which I believe that they are quite well documented) and then not forget that the Franks (like the Goths) intention was to assimilate themselves in the Roman administration, through substituting the imperial power. Not to destroy it. In fact the Goths and Franks competed for the same, the re-creation of the Western Roman Empire. The Franks adopted Catholicism while the Goths were Arianists. How much of the maitenance of the old Roman administration they achieved is a matter for another discussion.

Carnyx has also mentioned the Alans, who in Hispania they arrived as federated to the Vandals. But I believe that in Gallia they also raided on their account.