Here is an excellent primer on the genetics of horns in our sheep. It is a 
very simplistic model and works ONLY if none of the ewes in a flock have 
horns. It also assumes there is only one gene for horns. We now know that 
is not the case; there also is a gene for scurs. It was written by Dave 
Thomas, Professor of Sheep Genetics and Management, University of 
Wisconsin-Madison and is printed here with his permission:
_________________________________________________________________
Inheritance of horns is not as simple as the genetic textbooks make it 
seem. It is complicated by the fact that inheritance can be different in 
males and females and in different breeds. However, generally speaking, 
horns are recessive and polledness is dominant. If I let H = the dominant 
gene for polledness and h = the recessive gene for horns, the following 
situations can result:

HH = animal has 2 polled genes and is polled
Hh = animal has 1 polled and 1 horn gene and is polled because the polled 
gene is dominant
hh = animal has 2 horn genes and is horned

If you purchase a polled ram, he can be HH or Hh. If he is HH, all his 
progeny will be polled because all the progeny will have at least one H 
gene. If he is Hh, he can produce polled or horned offspring depending upon 
the type of ewes he is mated to.

Blackbelly ewes are usually polled, but they can still carry the horn gene. 
They just don't express the horn gene. Mating a polled ram that is a 
carrier of the horn gene (Hh) to different types of ewes will give you the 
following types of progeny:

Ram x Ewe = Progeny
Hh x HH = 50% HH, 50% Hh = all lambs polled
Hh x Hh = 25% HH (all polled), 50% Hh (all polled), 25% hh (males horned, 
females polled)
Hh x hh = 50% Hh (all polled), 50% hh (males horned, females polled)

If the polled ram has a horned parent, then the ram is Hh. If the polled 
ram has produced lambs and at least one was horned, then the ram is Hh. If 
the ram has been mated to several ewes in a flock where horned males are 
found and he has never produced a horned lamb, then you have some 
confidence that he is HH, however, there is still a chance that he is Hh.

Carol


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