Are jumping spiders territorial?

Is it normal for jumping spiders to stay in one spot like that? How long is their lifespan? I have been seeing the same one (at least the same species, although I’m not certain it’s really the same individual) in the same spot for quite a while now. Also, might they inherit the spot from a parent? Or perhaps just beat out a competor? Before this spider the spot had another one of different color/markings but still same species according to inatters.