I don't think you can call anything you do with your dog in the park a sport.
Otherwise you'd have Synchronised Outdoor Shitting, Freestyle Leg Humping and the EXTREME Bollock licking entered into the 2012 olympics as exhibition sports.
(
Amorous Badger NAKED BEA ARTHUR PHOTOS 4U, Mon 15 Feb 2010, 13:51,
archived)