From dogbreedinfo.com (photos are mine):
The Louisiana Catahoula Leopard Dog is independent, protective, and territorial. Loving with their family and all people they know well and reserved with strangers (this would include strange children). They need to make up to a person, not a person make up to them. Of course there are temperaments on both sides of this, but this is for the average dog. They mature right around 2 and it is as if a light goes on and they say to themselves "I am an adult now and I need to act grown up." This breed's reservation with strangers should not be noticed in a pup, but will show as the dog matures. Although affectionate with his master, the Catahoula is not recommended for the casual pet owner who is uninterested in allowing the dog to function in his intended capacity. For the right owner, this is a protective yet dominating canine. Signs of timidity on a leash should not be taken as cowardness, but the intolerance for strangers. This breed needs a dominant owner who shows strong leadership.
Some do well in apartments while others do not. It all depends on the lines of the dog and how much time an owner spends with the dog and how much exercise it receives. Catahoulas need attention. This is not a dog that can be tied to a dog house, fed, and ignored. Chaining and or ignoring a Catahoula will either make them shy or aggressive. They need human companionship. This does not mean they need to live in your pocket and can not be kept outside; this breed needs direction, training, something to do, people, attention, etc.
If they are kept outside where it is really cold, they need a good warm dog house, preferably one that has an entrance and then a turn into the sleeping quarters. That way they are protected from the elements. They need to be kept inside in really cold weather, as they are a single coated dog.