The ocean was not much higher, the land was lower. The ground is made up of giant tectonic plates which float on a ball of magma. And for various reasons these tectonic plates does rock a bit back and forth due to changes in their mass and how they get pushed around by the other plates. 13 feet in 7 thousand years is actually a relatively small change.
I have not studied this at all but a quick guess would be that the ice that melted off Northern Europe after the last ice age reduced the mass in that part of the tectonic plate so land rose up in Northern Europe. This pushed down the tectonic plate in Southern Europe and Northern Africa. Although I am not sure if the tilting motion would have such an effect on those long distances. It might be something else causing the land to sink.
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