Although I'm often joking that Duboce Park reeks unto the Paris of the 17th century, the park now faces a crisis of Noe-Valley-esque proportions: apportioning spaces of the small, smelly park for dogs and for children.
The sanitary condition of the park depends on dog-caretakers cleaning up after their dogs, but would you sit down where a dog has just left a odiferous coil of poop or a steaming sizzle of urine? Dogs de facto own territory by marking it with their spoor. The attendant discolouration of grass definitely indicates the area where a child should not play.
If the proposal entailed something along the lines of New York City's dog run in Washington Square Park, perhaps the world could get along. But Duboce Park is too small for separate off-leash dog runs and child play areas.