稻麦理论分蘖出叶数及其增长公式  

Theoretical Equations on the Tiller and the Leaf Number of Rice or Wheat Plant

作　　者：龚兆敬 朱芳华[1] 

机构地区：[1]华南农业大学,广州510642

出　　处：《生物数学学报》1996年第S1期89-93,共5页Journal of Biomathematics

摘　　要：稻麦作物分蘖出叶的数值化研究是作物形态发生光合功能等研究的一个重要基础．根据稻麦叶蘖同伸规律，设n为主茎总叶龄，Li为第i次分蘖上的理论出叶数，K为分蘖的最高次数，则Li和K均是n的函数．如果主茎芽鞘节和分蘖的芽鞘节均不发生分蘖，则K=（n-1）/3，L_i=C^i+1_n-2i(i=1,2,…,K）；如果主茎芽鞘节和分蘖鞘节均能发生分蘖，则K'=（n-1）／2，L'_i=C^i+1_n-i，以上K值均只取整数．分蘖与出叶增长的理论公式可用T＝∑sumfromi=0tok()C^i_A-2i（无鞘叶分蘖）或T'=sumfromi=0tok'()C_A-i-1~i,L'=sumfromi=0toK'()C_A-i-1~i,L'=sumfromi=0toK'()C_A-1~i+1（有鞘叶分蘖）来表示．这里T与L（T'与L'）分别为单株总茎蘖数与单株总叶数，A为叶龄．文章还采用数学归纳法对公式进行了数学证明，并展述了可能的应用前景．同样方法可证明莫惠栋等提出的稻麦理论分蘖数计算公式.According to the law of the synchronous growth of the tiller and leaf,theoretical equations of the total tiller number,the total leaf number and their increasing models of rice or wheat plant were created and verified with the means of mathematical induction. Supposed A was the leaf age of the plant and N was the total leaf age and k (integer) was the highest of the times(i) of tillering,then the tiller number of the i times Ti and the total tiller nuimber T,the leaf number of the i times Li and the total leaf number L were as follows: K = (N - 1 )/3,Ti= at the conditions of no tillering from prophylls of mainstem and tillers, at the conditions of tillering from prophylls of mainstem and tillers.

关 键 词：叶蘖同伸规律 分蘖 叶片 水稻 小麦 数学归纳法 

分 类 号：S314[农业科学—作物栽培与耕作技术]