The discussion about the earth (and all in the universe) and entropy has gone so far off the original issue of vested interests of a few holding to ransom the wider community benefits of damming at Cranky Rock and preserving water for the future. With respect to references, a simple search using “earth greening” as the subject will lead to many mainstream scientific journals and articles. I will not bore you or waste your time with quoted sections and just point to one from where you can trawl; https://www.nasa.gov/feature/goddard/2016/carbon-dioxide-fertilizationgreening-earth.
Such body itself referencing; www.nature.com/nclimate/journal/vaop/ncurrent/full/nclimate3004.html.
Those interested can see for themselves what time windows are relevant and the distortions that can be created by selective argument.