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Scientia Silvae Sinicae ›› 2013, Vol. 49 ›› Issue (9): 89-93.

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Bamboo Shoot Growth Model Based on the Stochastic Process and Its Application

Shi Yongjun1,2, Liu Enbin1,2, Zhou Guomo1,2, Shen Zhenming3, Yu Shuhong1,2   

  1. 1. Zhejiang Provincial Key Laboratory of Carbon Cycling in Forest Ecosystems and Carbon Sequestration, Zhejiang A&F University Lin'an 311300;
    2. School of Environmental and Resource Sciences, Zhejiang A&F University Lin'an 311300;
    3. Lin'an City Forestry Science and Technology Extension Station Lin'an 311300
  • Received:2012-09-04 Revised:2013-04-11 Online:2013-09-25 Published:2013-09-19

Abstract:

The shooting period of Moso bamboo (Phyllostachys edulis) is closely related to the feature of fast growth, high yield and strong carbon fixation, thus it is of vital significance to study the growth model of Moso bamboo shoot during the shooting period. This research for the first time pointed out that the growth of bamboo shoots could be interfered by many stochastic factors, that is, the growth is a stochastic process in essence. The stochastic process model was built based on stochastic process theory and Sloboda growth equation, and its characteristic functions were studied. Combined with the measured data, the model built in this paper shows that: 1) The bamboo shooting period finishes in about 55 days, which can be divided into two phases. Moso bamboo shoots grow slowly in the first stage (1st-25th day), and then grow rapidly in the second stage (25st-55th day). 2) For the given growth time (days), the cumulative growth of Moso bamboo shoots is a random variable, and the probability distribution curve gradually transforms from left skew peak into normal distribution. The peak value of distribution initially drops rapidly and then becomes smooth gradually. 3) The parameters (k, b) of Sloboda growth equation are the same for different bamboo shoots, but the values of SI follow a normal distribution. The stochastic process characteristic functions (mean function, correlation function, and standard deviation function) of the growth during the bamboo shooting period lay the foundation for further research on other characteristics of Moso bamboo.

Key words: Moso bamboo shoot growth, Stochastic process, Sloboda growth equation

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