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TWO STAGES IN THE FORMATION OF THE BRANCHING STRUCTURE OF A DECIDUOUS TREE

S. V. Grigoriev 1, 2 *
S. V. Grigoriev
* grigoryev_sv@pnpi.nrcki.ru
, 
O.D. Shnyrkov 1, 2
O.D. Shnyrkov
, 
K.A. Pshenichnyi 1
K.A. Pshenichnyi
, 
E. G. Iashina 1, 2
E. G. Iashina
1 Petersburg Nuclear Physics Institute, NRC “Kurchatov institute”
2 Saint-Petersburg State University
10.31857/S00444510240313e1
Published 2023-08-30
Article , Volume 165, Issue 3, 440-455
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Grigoriev S. V. et al. TWO STAGES IN THE FORMATION OF THE BRANCHING STRUCTURE OF A DECIDUOUS TREE // Journal of Experimental and Theoretical Physics. 2023. Vol. 165. No. 3. pp. 440-455.
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Grigoriev S. V., Shnyrkov O., Pshenichnyi K., Iashina E. G. TWO STAGES IN THE FORMATION OF THE BRANCHING STRUCTURE OF A DECIDUOUS TREE // Journal of Experimental and Theoretical Physics. 2023. Vol. 165. No. 3. pp. 440-455.
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TY - JOUR
DO - 10.31857/S00444510240313e1
UR - https://jetp.colab.ws/publications/10.31857/S00444510240313e1
TI - TWO STAGES IN THE FORMATION OF THE BRANCHING STRUCTURE OF A DECIDUOUS TREE
T2 - Journal of Experimental and Theoretical Physics
AU - Grigoriev, S. V.
AU - Shnyrkov, O.D.
AU - Pshenichnyi, K.A.
AU - Iashina, E. G.
PY - 2023
DA - 2023/08/30
PB - Nauka Publishers
SP - 440-455
IS - 3
VL - 165
ER -
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@article{2023_Grigoriev,
author = {S. V. Grigoriev and O.D. Shnyrkov and K.A. Pshenichnyi and E. G. Iashina},
title = {TWO STAGES IN THE FORMATION OF THE BRANCHING STRUCTURE OF A DECIDUOUS TREE},
journal = {Journal of Experimental and Theoretical Physics},
year = {2023},
volume = {165},
publisher = {Nauka Publishers},
month = {Aug},
url = {https://jetp.colab.ws/publications/10.31857/S00444510240313e1},
number = {3},
pages = {440--455},
doi = {10.31857/S00444510240313e1}
}
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Grigoriev, S. V., et al. “TWO STAGES IN THE FORMATION OF THE BRANCHING STRUCTURE OF A DECIDUOUS TREE.” Journal of Experimental and Theoretical Physics, vol. 165, no. 3, Aug. 2023, pp. 440-455. https://jetp.colab.ws/publications/10.31857/S00444510240313e1.
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Keywords

Fourier analysis
Logarithmic fractal
the branching structure of deciduous trees

Abstract

Fractal properties in the formation of the branching structure of deciduous trees have been studied by numerical Fourier analysis. It is shown that the lower levels of branching of adult trees are formed obeying the law of the logarithmic fractal in two-dimensional space, according to which the surface area of the lower branch is equal to the sum of the surface areas of the branches after its branching, i.e. the law of conservation of area when scaling is fulfilled. The structure of branches at the upper levels of branching obeys the law of the logarithmic fractal in three-dimensional space, i.e. the law of volume conservation during scaling, which is natural, since living tissue occupies completely an young branch, and not only its surface. A mathematical model is proposed that generalizes the concepts of a logarithmic fractal on the surface for adult branches and a logarithmic fractal in volume for young branches. Thus, an integral fractal concept of the growth and branching structure of deciduous trees is constructed.

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