Patrilineality
Patrilineality, also known as the male line or agnatic kinship, is a common kinship system in which an individual's family membership derives from and is traced through his or her father's lineage. It generally involves the inheritance of property, rights, names, or titles by persons related through male kin.
A patriline ("father line") is a person's father, and additional ancestors, as traced only through males.
Agnatic succession
Patrilineal or agnatic succession gives priority to or restricts inheritance of a throne or fief to heirs, male or female, descended from the original title holder through males only. Traditionally, agnatic succession is applied in determining the names and membership of European dynasties. The prevalent forms of dynastic succession in Europe Asia and parts of Africa (but see the Rain Queen) were male-preference primogeniture, agnatic primogeniture or agnatic seniority until after World War II.
By the 21st century most European monarchies replaced their traditional agnatic succession with absolute primogeniture, meaning that the first child born to a monarch inherits the throne, regardless of the child's sex.