Roosters and Egg Production

So after much research I have learned two things:

1) A "good" rooster will protect its hens, find food and be the last into the coop at night. A good rooster can encourage an increase in egg production.
2) A "bad" rooster who harasses the hens and if too....ardent....will discourage egg production.

Today we are up to 16 eggs again...obviously our rooster was, despite how pretty he looked, a BAD ROOSTER.