Actually, one doesn’t really “trace” a Thoroughbred pedigree (by the way that’s Thoroughbred with a capital “T”) because the breed has a closed pedigree book. This means that every Thoroughbred horse registered today must ultimately trace its ancestry back to one of three stallions imported to England in the seventeenth and early eighteenth centuries – the Byerley Turk (1680s), the Darley Arabian (1704), and the Godolphin Arabian (1729).
These exotic “hot blood” horses were bred to the local “cold” blood English horses and produced exceptional racing creatures. In the beginning any mare was acceptable and there were additional imported stallions, which kept the gene pool open, but about a century later the Stud Book (with a capital “S” and “B”) was closed to new blood. Very careful records, far exceeding any human genealogy, have been kept on these horses and today DNA tests are also used. It is all in a computer database now – real “push button” genealogy.
Thoroughbred breeders, of course, use their five generation charts a little differently than we humans do. They are trying to create a future offspring that can run faster and longer than any other horse. Except in those cultures where royal pedigrees are still followed, humans are not generally trying to breed children based on ancestors, although every published genealogy is a distant relative of a stud book. The American “melting-pot” is keeping our overall gene pool wide open.
For horses, though, inbreeding is a fact. Usually, the closest acceptable inbreeding is “4x4,” meaning that the same ancestor appears twice in the fourth generation (great-grandparents). Looking at a pedigree chart longer than five generations gets repetitive – one ancestor duplicated in the fourth generation means four ancestors duplicated in the fifth (that horse’s parents’ times 2), sixteen in the fifth (4x2x2), sixty-four in the sixth (16x2x2), and so forth. Multiple “4x4” or “5x5” crosses are common.
There is a whole industry based on advising a breeder how to choose the right mating for a mare. Thank goodness we human genealogists don’t have to deal with “nicks” – popular crosses of stallion lines with broodmare stallion lines (the most famous being Secretariat, who was a result of the then-popular Bold Ruler–Princequillo cross). Of course, genetics is far too complicated to be reduced to a nick or any other such theory, but breeders keep trying.
On the other hand, my boss, Bull Hancock, an industry giant responsible for some of the most successful race horses in his time and for pedigrees that still influence superior bloodlines today, was famous for his common sense, pragmatic approach: “Breed the best to the best and hope for the best.”