Published in 2010 was the paper:
Mitochondrial DNA H1 in North Africa:
An Early Holocene Arrival from Iberia
PLoS ONE 2010. (Open access (link))
Maju's very interesting comments on this paper are posted here: (link)
I would agree with Maju that the arrival of H1 in North Africa predates the Early Holocene. I would also agree with comments on the association of H1 in North Africa with R-V88.
What I would note is that the distribution of R-V88, with its association with Italy, Corsica, Sardinia and Africa, suggests a Strait of Sicily crossing rather than Iberia.
Regarding Maju's statement that the genesis of the Oranian culture is of an H1/R-V88 origin, I note that the transistion between the Aterian and Ounanian in North Africa is a current topic of interest regarding human origins. A recommended reference is:
Modern Origins: A North African Perspective
Editors: Jean-Jacques Hublin, Shannon P. McPherron
Update: The Oranian (wiki link) lithic culture to which Maju refers is not the same as the Ounanian lithic culture that is described in the Drake et al paper (link). See comments in this post. I believe the Oranian to which Maju refers is discussed as part of the late Aterian culture in the chapter "The Identity and Timing of the Aterian in Morocco" in the "Modern Origins: A North African Perspective", which is written by A. Bouzouggar and R. N. E. Barton. That is not to say that the Aterian, Ounanian and Oranian are not related.