Original scientific paper

Modelling multi-dimensional forest dynamics

K. Bezak

Abstract

The key to the perception of forest increment, growth and development lies in the logarithm spiral and the law of damped sinusoidal oscillations. Complex equations are a model of forest growth and development in space and time in six dimensions. The author obtained a quantitative, numerical prediction on the basis of purely qualitative models. Complex mapping provides long-term predictions of forest growth and development. In the context of complex growth dynamics, the pulsation coefficients of diameter growth, of height growth and of crown expansion are points at which the phenomenon of resonance might occur. A stand's condition and vitality may numerically be quantified with stand age, diameter of mean stand treeand resistance coefficient. The solutions to complex equations are compleks numbers which show perfect harmony between the diameter and height structure of a tree. These are dendrograms in which vertical directions shows amplitudes or multi-dimenzional vectors. Horizontal directions show space and time. Complex numbers are sets which represent possible physical states and form abstract complex vector space of growth and increment. Integration of compleks numbers results in increment and further integration results in the growth of diameter and height structure.

Keywords

modelling forests; growth and increment complex equations; complex numbers; complex vector space

Hrčak ID:

16899

URI

https://hrcak.srce.hr/16899

Publication date:

23.12.2006.

Article data in other languages: croatian

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