In the evolutionary past, the competition to reach primate eggs was sometimes between sperm from different male donors. If two or more males copulated with the same female within a period of days, an advantage in begetting offspring accrued to the one who ejaculated the greatest quantity of vigorous sperm cells. (...) the male with the best-timed copulation, most far-reaching ejaculation, and biggest testicular "engine" able to produce the greatest quantity of sperm tended to win the "game" of impregnation."
(Margulis, L & Sagan, D. (1991) Mystery Dance, On the Evolution of Human Sexuality: Summit Books, New York pp. 33)