## Thursday, February 13, 2014

### Tree growth acceleration explanation fractal

Update 2014 10 01
Fractal Geometry a Possible Explanation to the Accelerating Growth Rate of Trees

Original entry:
".. most species mass growth rate increases continuously with tree size." : Nature.com

A recent podcast interview on Radio New Zealand 'Nights' (see below) between host Bryan Crump and Ecologist Professor Mark Harmon on the topic of trees growth rate accelerating caught my attention. At the moment I am writing a publication on expansion and the fractal (fractspansion) and I have used trees as an analogy and example in my paper to explain what I believe to be the dark energy in the accelerating expansion of the observable universe.
Even if I could not find proof of my finding that trees growth also accelerated, I stuck with trees, and now I hear this – wow, supporting evidence! It is no coincidence that both trees and the universe expand exponentially - all things fractal do. I just have to prove the universe is a fractal. Of course I can't do that, but I can list all the properties of the fractal - exponential growth as one - and we then be able to infer that the universe is fractal.

This clip shows the expansion of a (tree) fractal. Note: there is no reference to time - only iteration time; and  no reference to scale of the tree. For new growth branches to be added, the original stem (the truck) must expand. This expansion is exponential.

For an explanation for why trees grow exponentially we have to look at the mechanics of the fractal as fractals grow exponentially - it is a property of fractals. Trees are a classic fractal, and now we know they too grow exponentially. For a fractal – or a tree – to grow, it must iterate, and with iteration all segments of the fractal must grow – exponentially. The seasonal growth rings of a tree maybe a red hearing: they are a (regular) time keeper, but not an explanation to acceleration.
To have a new growth segment implies an accelerating base growth. Again, fractal growth is separate from annual growth.

The question is: how many iterations do the old trees have? Does the iteration count increase with age?

All will be revealed in my paper, which I expect to submit very soon.

References:
http://www.nature.com/news/tree-growth-never-slows-1.14536
http://www.nature.com/nature/journal/vaop/ncurrent/full/nature12914.html

Update: 2014 05 14
I am in the process of publishing, very happy with my paper, looking forward to peer Review.