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The mathematical characteristics on ideal wheat stem structure in late growth period

Wanqin Zhang, Donge Bao, Bo Lu, Qingshan Zhang

In this paper we study the ideal stem structure for the wheat in late growth period. By means of experiment and data verification, it is demonstrated that the length of each section of the wheat ideal stem structure composes of the generalized Fibonacci sequence: (1) in the hard-dough stage, the mass ratio of the circular tube and rod is 0.5, the ratio of the outer and inner diameter is √2; (2) the ratio of the height of the center of gravity and stem (including ears) length is the golden section 0.618. The results not only can be used as breeders indicate a clear breeding goal, but also can provide the algorithm theory to the computer numerical simulation.