Wills, Trusts, and Estates
A parentelic system looks up generations of ancestors until there is a living descendant in that parentela, or line. (i.e., look at the grandparents, then the great-grandparents, etc. until you find someone with a living descendant, then split all the amount among his descendants only.)
E.g, a first cousin would be chosen over a great-grandparent because a first cousin is a descendant of a grandparent, which is a closer parentela.