elderdom

noun5

1. •
   The state of being an elder, or of being older; elderhood.

   • Thanks to him, I have a better sense of what it takes to morph gracefully into elderdom. — 2010
2. •
   Authority; dominion.

   • Both of these things Moses fulfilled, when he refused elderdom or authority, [...] — 1852
3. •
   The authority, rule, or office of an elder.
4. •
   The role or influence of an elder or elders.

   • The weight of elderdom in our family was like a drapery to be taken for granted. In which anyone could at times gratefully hide. — 2005
5. •
   Preeminence; superiority.

   • The name of one of these was Claudius, who arrogated to himself elderdom over the others, though they by no means allowed his claim of superiority, hut quarrelled with him. — 1773