I've been doing a lot of Chocobo Racing lately, with the goal of breeding an ultimate Chocobo, but even after reading a bunch of guides about how star ratings are passed on through generations, I'm a little confused.

My biggest question is, what should I consider a "successful" covering? For example, if I breed a Retired G-4 male with a Gold Saucer female, is a "successful" covering any one where the fledgling has better parentage than the GS mother? In my head, I'm thinking I would then raise the improved fledgling up to Rank 40 and inbreed it with the original Retired father, and theoretically have a slightly better chance than before to get another improved fledgling? Eventually, my goal with all this is to get a male and female with 4-star everything, and then use them to climb to a Pedigree 9 racing bird?

Hopefully my question makes sense. Basically, I have a Retired G-4 male with four or five 4-star ratings, and I want to start taking steps to move toward a better gene pool. What should I be hoping for in my fledglings?