I believe that is due to the twigs diffracting light, bending it just enough that by the time it gets to your lens, it has essentially gone around the twig and blinded it from you / made a bleeding halo.
Twigs an inch or so apart, and a half mile away, would diffract light enough to deviate an inch or so, which should bleed the image a bit?
Notice that it seems more extreme on the thinner bits of the trees, which makes sense, if you have something thin and you bend around both sides of it, you cover it up faster than something thicker.
If not, it's some other optical phenomenon, I don't think photoshop is doing that. Especially since I see it with my own eyeballs all the time.