So you are trying to coin the phase ‘Biotropic Design’ to mean getting people to think ‘Carbon Negative’ by calling yourself the father?
What you are suggesting in the OP isn’t Carbon Negative?
Also we already have the terms ‘Carbon Negative’, ‘Carbon Neutral’, ‘Low/Zero Carbon’ that people understand.
People already know words and concepts like carbon footprint, and zero-emissions from new cars, I don’t see why there needs to be another word to describe the actual thinking/training the world. 
Also the name biotropic I’m already thinking it’s means ‘life change’. I don’t think it’s catchy enough to stick.
I had read it as biotrophic ‘life feed’ before, as in a parasite that feeds on its host.