I have never seen an egg or seen them roost. Sam, you are right, everything is filthy with their poop --what must be in the lake?? Yes, they are very persistent and get used to everything, that is why I have fence and or string tied to little posts around most of my property. But it is a pain when you want to go in the water. They still poop on the outside of the string on the beach when the water goes down. We have a flat lot which makes it easy for them to get on shore and a lot of frontage which makes it hard to keep them out. I did have the "used car lot flags" for a while but didn't exactly like the look.
I need to borrow a big dog. My little ones won't chase them.