Modelling three‐dimensional architecture of pine tree (Pinus sylvestris linn, van mongolica litv.) in a semiarid area

Abstract A dynamic model for three‐dimensional (3D) simulation of pine tree (Pinus sylvestris Linn, var. mongolica Litv) architecture based on dual‐scale automata is presented. The developmental sequence of pine trees was analysed qualitatively by identification of types of organs and elementary units. A dual‐scale automata model was used to describe the topological structure of the pine tree. The model is a collection of a large number of elementary units corresponding to the organs of the tree. The time step of simulation is set for 1 year. The model stochastically simulates the 3D architecture of a pine tree crown based on the Monte Carlo method and has been pa‐ram eterised for juvenile pine trees. Topological and geometrical parameters were calculated using a large amount of field data of branch number and internode lengths and diameters for 1‐ to 6‐year‐old pine trees. Visualisation of a 3D pine tree is presented. The model provides a good quantitative description of the 3D architecture of a single pine tree crown.

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