I try to study the breeding practices of people outside the world of cattle to try to learn what other successful people do to be successful ...
There was a breeder of German Shepherd Dogs from the 1940s to 1960s who was so successful at breeding champion GSDs (and at a little self-promotion along the way) that he became known as Mr. German Shepherd. He was always tinkering with different inbreeding, linebreeding, outcrossing ideas. Given the short generational cycles of dogs, and the multiple offspring per litter, he was able to do quite a bit of tinkering in a relatively short amount of time. Over time, he became convinced of a variety of approaches to formulaic prepotency ... all of which were predicated upon having EXCELLENT specimens to start with.
With excellent dogs as a starting place, he performed a variety of half-sibling, mother-son, father-daugther, aunt-nephew, uncle-niece, grandfather-granddaughter, grandmother-grandson breedings ... and he would then assess the prepotency for transmitting the desired traits of the offspring of those pups ... based solely on their ability to pass on the desired traits to the next generation.
As a result of all of his tinkering, he found that taking a extraordinarly high quality female ... and breeding her to a similarly phenotyped (but largely unrelated) male ... and do it repeatedly until you have a female who represents the best of what that pairing could reasonably afford you to experience ... and then, breed that female back to her mother's father until you had a MALE offspring who was confirmed prepotent for the traits of the maternal grandfather.
He claimed that this approach was more effective at establishing prepotency from one generation to the next than half-sibling to half-sibling.
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I've also looked into the breeding practices of top breeders of racing pigeons.
Why?
Because they tightly breed, and then test the progeny for actual real-world performance (time trials, the faster the better) in their environment under their management.
There are some similarities and overlaps in what they do and what our GSD-breeding friend found ...