word-forming element meaning "social, of society; social and," also "having to do with sociology," from combining form of Latin socius "companion, ally, associate, fellow, sharer," from PIE *sokw-yo-, suffixed form of root *sekw- (1) "to follow." Common in compounds since c. 1880.
"the science of life and living things," 1819, from Greek bios "life, one's life, lifetime" (from PIE root *gwei- "to live;" see bio-) + -logy "study of." Suggested 1802 by German naturalist Gottfried Reinhold Treviranus, and introduced as a scientific term that year in French by Lamarck; they seem to have hit upon the word independently.
Others are reading
<a href="https://www.etymonline.com/word/sociobiology">Etymology of sociobiology by etymonline</a>
Harper, D. (n.d.). Etymology of sociobiology. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/sociobiology