c. 1200, "incapable of producing its kind" (of female animals, plants), from Old French baraigne, baraing "sterile, barren" (12c.), perhaps originally brahain, of obscure derivation, perhaps from a Germanic language. Use in reference to males is rare. Of land, "producing little or no vegetation," late 14c.
As a noun, mid-13c., "a barren woman;" later "tract of more or less unproductive land."
BARRENS. Elevated lands, or plains upon which grow small trees, but never timber. [Bartlett, "Dictionary of Americanisms," 1848]
mid-15c., "barren," from Old French stérile "not producing fruit" and directly from Latin sterilis "barren, unproductive, unfruitful; unrequited; unprofitable," from PIE *ster- "lacking, sterile," source also of Sanskrit starih "a barren cow," Greek steira "sterile, infertile" (of a cow, goat, woman), Armenian sterj "infertile," perhaps ultimately from root *ster- (1) "stiff." Originally in English with reference to soil; of persons (chiefly females), from 1530s. The sense of "sterilized, free from living germs" is first recorded 1877.
"not productive, barren, not making some specified effect or result," by 1690s, from un- (1) "not" + productive (adj.). Related: Unproductively; unproductiveness.