Abstract :
A natural tree has the ability of self-organization, self-adaptation and self-regulating, and its growth is the process of optimization. Firstly, According to the mechanism, a competition model is established in this paper. In the model, sunlight adaptability, nutrition factor and shade factor are defined. And, the equation of branch´s competitive phototropic growth and the condition of branch´s fading are described. And then, the flow chart of the model is drawn. Meanwhile, a three-dimensional simulating tree is brought. Finally, it is validated by the complex functional curve fitting, and is compared with the standard genetic algorithm (GA) and the traditional least square method (TLS). The experiments indicate that the model requires less memory and less computational time, but has higher precision. The model may provide a novel solution to the design and calculation of optimization.
Keywords :
genetic algorithms; least squares approximations; natural resources; competition model; complex functional curve fitting; flow chart; genetic algorithm; natural tree growth; nutrition factor; optimization calculation; self-adaptation ability; self-organization ability; self-regulating ability; shade factor; sunlight adaptability; three-dimensional simulating tree; traditional least square method; Ant colony optimization; Biological system modeling; Computational modeling; Curve fitting; Genetic algorithms; Immune system; Information technology; Least squares methods; Simulated annealing; Tree graphs;