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Volume 2   Issue 2   Year 2007
Formation of the Structure of an Annual Ring in Conifers: Optimizational Mathematical Modeling

Shipitsina E.Y., Sviderskaya I.V., Soukhovolsky V. G.

Institute of Arts and Sciences of Siberian Federal University, Federal Agency for Education,

V.N. Sukachev Institute of Forest, Siberian Branch of the Russian Academy of Sciences

Annotation. The model of formation of an annual growth layer in the tree, a tree-ring, is proposed. The structure of the annual ring is presented to consist of two types of cells. The first type of cells carries out conductive function; the second type carries out supporting (mechanical) function. The choice of a type of cells is based on maximization of contribution of a certain type of cells into the total utility function. The proposed model is proved to be in agreement with the actual data on the tree-ring structure. The existence of the annual ring as a layered structure of conductive cells (early wood) and supporting cells (later wood) is explained in respect to correlations between two fundamental physical regularities - Poiseuille's law for fluid flow and the material strength law.

Key words: conifer trees, annual ring, structure, cells.


Table of Contents Original Article
Math. Biol. Bioinf.
doi: 10.17537/2007.2.319
published in Russian

Abstract (rus.)
Abstract (eng.)
Full text (rus., pdf)


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