Such studies typically find the success of plant invaders to be related to short life cycle, abiotic (mostly wind) dispersal, large native range size, clonality, occupation of disturbed habitats, and time since introduction [7]. These results are complemented by studies that collectively find strong support for the role of biotic traits such as height, vigorous vegetative growth, early and extended flowering, and attractiveness to humans [14]. Thus, a relatively detailed picture of the traits that confer invasiveness at a species level is beginning to emerge.
http://plosone.org/article/info:doi/10.1371/journal.pone.0018654#article1.body1.sec1.p1

Can populations really become so fit that they don't belong in their own habitats?