To clarify: Big pointy stick most likely salvaged from the edge of the bayou. Looks like it might have been a part of a picket fence. Not a walking stick.
And no, the guy was not jogging with headphones on. He was hyperalert for rogue cyclists.
I do sympathize with him. I also get annoyed by the bikers on this trail. No warning, ever, from 90% of them. And I keep an ear out for them and I always make sure to pull my dog out of the way (he's on a regular 6 foot lead).