I really don't understand your last paragraph's importance considering what Jared wrote.
I've written on this subject here: http://nicksinard.com/2016/07/26/animals-argumentation-rights/
Tl;dr: (1) Property rights are rational solutions to interpersonal conflict. Animals other than humans cannot follow these solutions purposefully by understanding their content and following them. We might get them to stop acting certain ways, but that is through training and not reason. Since they can't understand the reason behind these norms, i.e. property rights, they do not apply to them.
If an animal is rational then let it demonstrate it by entering into argumentation, i.e. an exchange of truth-claims between two or more rational beings for the purpose of finding the truth.
(2) The idea of truth only arises when argumentation exists. If there was no argumentation - that is, if we all were dogs, them the idea of truth wouldn't exist. Similarly, without argumentation there wouldn't be property rights. The idea of property rights and the truth or falsehood of them wouldn't even exist. As humans are the only animals that enter into argumentation, property rights only applies to us since we are the only ones able to conceptualize, recognize, and respect property rights.