This is a Tuareg berber boy [1]. The Tuareg moved South into the Sahel in antiquity, but their traditional areas included parts of modern day Algeria and Libya.
Gaddafi was Bedouin, but their skin color varies greatly. I'll go out on a limb and assume that Gaddafi spent decades spending a lot less time outdoors in the sun than many other Bedouin would. Here is an example of a much darker Bedouin man [2]. Note, however, that the main Arabization of Libya happened after the Romans moved out.
Berber men in Morocco [3].
Ghurara Berbers in Algeria [4]
Toubou man - The Toubous traditional area stretch into Libya [5].
In case you would assume the Berbers whose main areas were in Southern Libya would not make it North, consider that Septimius Severus' hometown of Leptis Magna on the mediterranean coast was frequently raided by berbers until the Muslim conquest of the Maghreb in the 7th century. During Septimius rule a whole Roman legion (Legio III Augusta) was stationed there to protect against Berber raids (the legion was also been stationed in present day Algeria for a long time)
Septimius also extended roman rule to Garama - one of the main homes of the Garamantes Berber people who shared Fezzan (the South West of Libya) with the Toubou, Arabs, Berbers, Tuareg and Dawada.
Here's a Dawada man [6].
Now, I'm not an expert on the region, and I don't know the exact mix of Roman Libya and other Roman holdings in North Africa at the time, but the above is enough to at least suggest that unless you are an expert (in which case I welcome sources), there is sufficient reason to at least not jump to the conclusion that there were no dark skinned Africans in Libya in Roman times on the basis of Gadaffi - a person from an ethnic group that most certainly had a far lower presence in Libya until after Roman times.
[1] https://www.flickr.com/photos/ingetjetadros/4603950662
[2] http://www.gotellitonthemountain.net/wp-content/uploads/2014...
[3] https://www.gettyimages.co.uk/detail/photo/morocco-valley-of...
[4] https://1.bp.blogspot.com/-HVIPE5t6qvM/TxCq_VzQpaI/AAAAAAAAA...
[5] https://en.wikipedia.org/wiki/Toubou_people#/media/File:Toub...
[6] http://cache1.asset-cache.net/gc/148807060-tuareg-tribesman-...