Originally posted by Sun of Socialism:

One and two star wolves only spawn in night time and will always try to run out of your sight and despawn when far enough away, tamed or otherwise. Tame daytime wolves, it's your only option at present.

Nope to this
You can still tame 1 and 2 stared wolfs at night if you are sneaky or fast , i did it making a little hole and pushing then in with parry their attacks ( full silver shield and wolf armor , 2 high hp foods because buffed doggies hit very hard )
You most feed them as fast as you can because even if them are in the hole and not start the tame process ( eating your food ) them will despawn when dawn is come ( getting out of that zone )