So, you go to your cave, see a bunch of dragons that are the same breed, and think:''Hey, i would like another dragon like this '' and you breed 2 dragons and get a egg. You look at it's lineage and what do you see? Grandpa of this eggy is also it's father. Oops!
But why not a little warning before you breed?
Breeding these two dragons will produce a inbred egg.
Then you'll know that breeding these dragons will cause a inbred egg.