Hi.
In the dna of these birds are sections called genes. Dna is replicated during normal cell replication and growth of the bird and also it is replicated when the bird is making sex cells such as eggs and sperm.
It is during this process that mistakes can occur and genes (sections of the dna) are made faulty. These faulty genes then cause a new thing to happen in the bird. It may be something that we cannot see or it may be, as in colour mutations, something we can see.
So, these mutations as they are called continally pop up in a population but are usually not seen because a bird would only have one copy and it needs 2 for it to be expressed.
When two birds that each have a copy of this same mutation gene mate, they can produce these new coloured birds. People then breed for these colurs and that's where they come from.
I hope tha helps
