Where in Central Park was the photo "Child with a Toy Hand Grenade" taken?

Child with Toy Hand Grenade in Central Park, N.Y.C. 1962, is a rather famous photo by Diane Arbus:

I came across this photo while reading about the background to the song "Teach Your Children," written by Graham Nash and recorded by Crosby, Stills, Nash and Young. A quote from Nash's autobiography is included under the lyrics on Genius.com (emphasis added):

The origin of the song came from my recent infatuation with art. I had begun collecting photographs around that time, powerful images that had an emotional effect on me. One, in particular, was a Diane Arbus image of a boy in Central Park. It spoke volumes to me. The kid was only about nine or ten years old, but his expression bristled with intense anger. He had a plastic grenade clenched in a fist, but it seemed to me that if it were real the kid would have thrown it. The consequences it implied startled me. I thought, ‘If we don’t start teaching our kids a better way of dealing with each other, humanity will never succeed.’

Like Nash, I find that this photo is speaking volumes to me as well. I lived in NYC for several years and used to visit Central Park often to run and walk, and am trying to place this photo within the park, but unfortunately there aren't any recognizably landmarks that I can see here.

There are a few clues:

• The path the boy is on appears paved
• he's standing by an intersection or corner
• The tree (which would be larger now, if it's still there) has two prominent trunks
• There's a meadow or clearing behind the tree

I've spent a maddening amount of time on Google Street View but I'm still coming up blank.