The way I'm understanding what you're saying is that the dog is and should be treated as inferior to the rest of the family. Again perhaps it's me but to say that something belongs on the bottom is to say they're inferior and not as valuable.
The dog is the Omega member of the pack. That means it's on the bottom. *All* of the humans in the household are superior members of the pack. This is how it needs to be. It has NOTHING to do with the dog being inferior. It has everything to do with the dog needing to know where it is in the hierarchy, and it is necessary for the safety of all concerned, including the dog, that this position be subordinate to every single human in the home. The dog is NOT a human and does not feel its self-esteem is somehow suffering because its ego is not being stroked because it's the bottom dog in the pack. This is really an unequivocal issue. If you don't have the dog at the bottom, you've got serious problems.
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The dog is the Omega member of the pack. That means it's on the bottom. *All* of the humans in the household are superior members of the pack. This is how it needs to be. It has NOTHING to do with the dog being inferior. It has everything to do with the dog needing to know where it is in the hierarchy, and it is necessary for the safety of all concerned, including the dog, that this position be subordinate to every single human in the home. The dog is NOT a human and does not feel its self-esteem is somehow suffering because its ego is not being stroked because it's the bottom dog in the pack. This is really an unequivocal issue. If you don't have the dog at the bottom, you've got serious problems.