It has been narrated to us through al-Harith bin Abd al-Rahman, from Ikrimah, from Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both), that he said: "For every bird other than the pigeon (if it is hunted), its value is due (to be paid as a penalty)."
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الحج / Q10010