Interestingly enough, the Bedouin and their breeding of their famed Arabian horses always believed that maternal lines were the determinators of genetic disposition, and that the male influence was only potent for the first couple of generations. In fact, Arabian horse pedigrees are traced by maternal lines and have been for hundreds of years.
Recently there have been some studies on mitochondrial DNA that suggest the lasting life of maternal DNA that male DNA did not have...
Of course, in a world of livestock and dog breeding, which was traditionally left to men, male animals were considered to have a stronger genetic make up, or a stronger influence on progeny.. this was even a idea that applied to humans, that females are just the 'vessels' in a which a male's 'seed' grew.
And of course, financially speaking, male animals are generally worth more because they can be bred more often and their genetic contributions can be sold piece-meal by artificial insemination, whereas a female animal could not.
Here is a good article regarding the subject.. it is in regards to pigeon breeding, but it is a good article nonetheless:
http://www.pipa.be/en/newsandarticle...-maternal-line
http://www.sport-horse-breeder.com/the-Mare.html
For example in horses, "The Thoroughbred industry has noted that sustaining traits for speed have come most reliably up the female lines.".. (second article)