=== Inbreeding ===
With a recent change inbreeding Inbreeding is supposed to have has a negative effect. It adds extra negative traits that don't count against the regular traits pool.
Inbreeding is mating with the father or mother or when the two animals have the same father or mother. Basically if you only can find two horses you'll be ok in three generations. But it might be better to mate your horses with your neighbors horses.