That tracks for sika deer. Those are the "sacred deer" that used to be venerated in Nara, and are still protected under Japanese national treasure laws. They are allowed to roam free throughout Nara, and you face big penalties for hurting or messing with them. You are allowed to feed them special deer crackers which local shopkeepers sell, but woe betide you if a deer sees or smells deer crackers on your person! You will be followed or chased, and may be at risk of being gored on a buck's antlers, until you give up the goods. They're attitude on four cloven hooves, those deer.