Why are oxen, sheep and goats the only korban-eligible animals?

Hi,

"R' Yehudah, son of R' Simon, said: Gd declared: I have given you ten kosher animals, three of which live within your domain and seven of which do not live within your domain... Did I burden you to go to the moutains and hills to bring a korban from those which do not live within your domain? I only told you to bring from that which lives in your domain and grows from your trough."

(Midrash, Psikta d'Rav Kahana 6)

Have a great day,
Mordechai