sry for long tread, but i want to summarize what i know about that
First, we have 4 type of animals:
Food: pigs, cow
Work: horse, camels
Fan: gold fish, chinchilla
and Pets: Cat and dogs
Any type have his benefits and сonditions:
its my ideas and opinions, soo take it in grain of salt:
Food type animals: Many of them are vegetarian or omnivorous in a vegetarian direction. If I remember right, most likely they got domesticated by steeling eggs or caught animals at a young age or refugees of some herd (depending on the genus). Probably can be seen as in the famous experiment of the Soviet Union of fox domestication (still to this day it is active). That with the help of a selection of species that are less afraid and less aggressive will move on and change over time (I think I dragged a bit, but this is true for the other types).
bonuses given: FOOD and animal products (eggs, milk, leather etc… Based on the features of the animal).
Work type animals: They are usually creatures with other traits that can help besides food (strong muscle power for carrying, transport, etc.). The domestication process is similar to the previous tag and can cross with him.
bonuses given: early game bonuses movement and carrying…
Fan type animals: just happiness, can be anyone for bonuses moral in late game, soo I leave that open, also like the first type…
bonuses given: bonuse moral…
Pet type animals: its cross all type soo its uniqe type on level of cats and dogs, if I remember right, the ancestor of dogs, the type of less aggressive to humans, fond food, over time the human give them remnants of food and become more and more closer. in the end, They became real in their vicinity, perhaps because of their social nature that they connected at the end. (I suggest you watch the series Cosmos Episode 1, explains it better than me). and cats… they domestication as… still no fully understood (I have cats, soo I know them XD).
bonuses given: Based on the features of the animal, behavior and type they cover.
Besides, there are a number of animals in reality that have been domesticated more than once (I know at least there have been 3 domestication of cats: Chine, Egypt and Probably Thailand but I do not remember, I will look at the sources. )
It is long, but there is more than one type of domestication, the question: what can be done if it is …
I hope this helped, it took me half an hour to write and translate from 2 more languages.