Quantitative Biology

   

On the Evolution of the Tree Form with the Fractal Parameter

Authors: Valerii V. Galitskii

Modeling peculiarities of evolution of the tree's branches system on allometric (fractal) parameter µ which connects a green biomass of a tree with its height, are considered, basing on the sectional model of a branches system presented earlier. It is shown that the initial stage of the (endo)symbiotic growth of the first dot "plants" (µ<1) must be characterized by a group placement of photosynthesizing points and growth of µ with the increasing the number of points in group, i.e. with increasing the efficiency of the use of light. Value µ not depends on type of a groups' allocation, but depends on a kind of the points' distribution in group. Thus, in an early ontogenesis of such "protoplants" there should be a stage of gradual growth μ from 0 which may be manifested in the form (usually observable) initial slowdown of growth and in the recapitulation phenomenon. Key words: sectional model of system of tree's branches; green biomass vs. height; fractal parameter; group dot pattern at line segment; endosymbiose of cyanobacteria and protists; origin of "protoplant"; initial slowdown of growth; recapitulation;

Comments: 13 pages. Russian. Materials of the Third National scientific conference Mathematical modelling in ecology, October, 21-25st, 2013, Pushchino, Russia

Download: PDF

Submission history

[v1] 2013-11-15 12:11:45

Unique-IP document downloads: 131 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus