It is the hypothetical source of/evidence for its existence is provided by: Sanskrit jara "old age," jarati "makes frail, causes to age;" Avestan zaurvan "old age;" Greek geron "old man;" Ossetic zarond "old man;" Armenian cer "old, old man."
word-forming element forming nouns meaning "rule or government by," from French -cratie or directly from Medieval Latin -cratia, from Greek -kratia "power, might; rule, sway; power over; a power, authority," from kratos "strength," from PIE *kre-tes- "power, strength," suffixed form of root *kar- "hard." The connective -o- has come to be viewed as part of it. Productive in English from c. 1800.
<a href="https://www.etymonline.com/word/gerontocracy">Etymology of gerontocracy by etymonline</a>
Harper, D. (n.d.). Etymology of gerontocracy. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/gerontocracy