Out of curiosity, does anyone know all of the nature (canine and all) and what animal they correspond to ?
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[POTENTIAL SPOILERS]

Does this answer your question? It's missing Human but that "nature" is definitely a spoiler.
If you also want racial abilities: Canines have Canine Empathy; they can read each other's minds and communicate over long distances mentally. The height of this is Pack Mentality, where 2 or more individuals become basically one entity, with shared senses and skills.
The others we know less about since the main characters are all Canine, but we've seen Luke burn each kind of mana, so I'll just say what those effects were:
Feline - gives the user piercing strikes and enhanced reflexes
Ungulate - gives the user increased strength and resistance
Rodent - Allows access to the user's 'Holding Seal'
Saurian - Heals the user
Avian - Allows flight