What does your religion or spiritual belief system teach in regards to an animal's afterlife?
If you believe that they don't have souls, how do you explain the emotions and diverse personalities present in so many of them? I mean, anyone who has the opportunity to observe an animal will see that none of them act in the same way. What causes them to behave in the manner that they do if it isn't due to a spiritual entity inside their body?
Hmm, I don't know of an animal "afterlife", but that doesn't mean animals cannot be spiritual. They know their Creator, know where their food and drink come from, though many people don't know or understand that themselves.
I believe even many of the great prophets of the Father weren't all certain what happened to animals when they passed, because animals weren't given domain over the earth as man, and the way which they act isn't how men and women act, whereas they could certainly be said to be consciously straying from the Father; that is, by us anyway.
However, in faith to the Father and Son, we're to be concerned with the well being of our Brothers and Sister and their souls, and their being redeemed by faith to the Son who was sacrificed, and belief to the One resurrected from the dead, because they matter most of all.
Animals are important because they are a creation of the Father, but the Son came to be a Way to salvation for a people set apart in their and holy works, so we needn't worry on the animals, as our Father has them.
This question isn't quite fair though; it asks what anyone's religion teaches about animal's spirituality, then seems to assume one will answer with, "they don't have a soul", only for us to be given a "lesson" on how they act so different, the only explanation must be a soul. I think if one really seeks understanding here, they shouldn't assume what the answer's gonna be.