I was wondering about them in a more in depth way. What benifits does each one have and how do they effect the animal.

The battle stats depend on pet's characteristics:

• Hitpoints depend on Constitution and Strength
• Damage depends on Courage and Strength
• Critical Chance depends on Courage and Intuition
• Accurancy depends on Agility and Intelligence
• Dodge depends on Agility and Intuition
• Constitution and Intelligence decrease the chance that you will be Critically hit

There are also some things which characteristics affect too. Strength affects the Breeding potential of a pet (the amount of children which pet can have during his life). Construction and crafting requires certain characteristics. Characteristics are also the main parameter which is needed for fulfilling quests.

Thanks ! :3 This helps! I tried finding it on FAQ but I didn't find it. Thank you ^^