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Avtometriya

2003 year, number 5

MATHEMATICAL MODEL OF THE RADIAL CROSS SECTION OF TREE RINGS

V.A.Tartakovsky, Yu.N.Isaev, V.D.Nesvetailo, Yu.V.Volkov, and V.N.Popov
Tomsk
Pages: 97–105

Abstract

A mathematical model of tree rings in the form of an interference pattern is presented. The model allows retrospective reconstruction of continuous radial growth of a tree during the entire vegetation season. The radial dependence of the wood density is considered as a certain oscillation whose phase is a strictly increasing function of radius. The radial growth is defined as a monotonic function of time, inverse with respect to the phase. Algorithms for model analysis are based on the condition of dispersion causality. Experimental results are discussed.