In my "anecdotal" observations (n greater than thirty or so), a hen will also select whether there is more roosters and or hens needed, based on the distribution of the flock.
https://www.quora.com/How-long-after-a-chicken-mates-with-a-rooster-will-she-continue-to-lay-fertile-eggs#:~:text=The%20hen%20stores%20the%20sperm,for%20up%20to%20two%20weeks.
