Most breeds do still allow for the breeding up to purebred status.
In the beginning of many of these breeds, when animals were 7/8 they were considered purebred. Since many of these breeds have been around in the US since the 70's that percentage has gone up, some breeds have to be 31/32 minimum, (Charolais Association).
With our Composite Dairy Cattle Registry, with the breeds we represent, purebred is considered at the 87%, with breeds such as the Fleckvieh and the Montbeliarde, many of those animals, even in their native countries of Germany and France have some Holstein blood in their makeup.
With the Holstein Association, again when enough generations of pure Holstein breeding has been documented, animals can be entered into the herdbooks.
There are several breeds that their herd books are closed, the breeds that are used most often are the Angus and Hereford, the Galloway also has a closed herdbook.
With our Composite Beef Cattle Registry,we offer an affordable and efficient system to register cattle of any breed or combination of breeds. We register cattle that do not qualify for registration in a registry due to percentage of blood, the breed crosses, or the breed herdbook is closed or there is no registry.