Does Jasper from twilight wear a wig?

The actor that plays Jacob Black in Twilight, Taylor Lautner, did have to wear a wig because his real hair is much shorter. In New Moon, when he is a werewolf, Jacob has to cut it because otherwise if he tries to run as a werewolf with long hair might get him over heated. So, then, Taylor Lautner didn't have to wear a wig anymore.