I first saw a version of this chart on the fridge door of my complexity theory teacher, Alder Fuller, about eight years ago. I have only been able to find this version, which is associated with the Voluntary Human Extinction Movement (“May we live long and die out”). Maybe the meme made its rounds and died out or maybe it never caught on. I found it thought provoking: 
And I don’t know how much these Google ngrams can really tell you about the coming and going of memes, but here are a couple:
Use of "ecology" and "deep ecology" in English print since 1880
Deep ecology, anthropocentrism, ecofeminism, environmental ethics, 1980-2008
Nathen's Miraculous Escape 
November 1, 2011 at 11:42 am
I stop at “deep”.
November 5, 2011 at 12:26 pm
I think there should be a step between deep and deeper: we and our fellow animals should have an equal right to exist. To that aim, our numbers should be controlled. Otherwise, our time here will end eventually.