The phrase "family hierarchy" means the way family members are organized or ranked based on their roles, authority, or age in a family. It shows who has more power, responsibility, or influence within the family. Full definition
They have a more flat family hierarchy, are more concerned with their children's emotional welfare and typically involve their children in decision making processes. (positive-parenting-ally.com)
So y ’ all, some of that has to be under control, like most societies, communities, countries live by freedom but also by laws, by family hierarchies, and loving service. (nakedpastor.com)
Once in the group, individuals are implicitly forbidden, under pain of ostracism, to develop their own independent interests and values; if the old family hierarchy kept adolescents from ever leaving home, the new second family discourages them from going home, or anywhere else away from the pack. (psychotherapynetworker.org)