基于Richards方程的百合生长动态模拟分析

Growth Dynamic Analysis of Lily Under Richards Equation

为研究露地条件下百合从营养生长到生殖生长过程中株高、茎上叶、花茎及花苞的生长动态过程,以百合品种‘Conca D,or’为材料,在对不同器官形态发育测量的基础上,运用Richards方程对株高、叶片、花茎、花苞等器官的实测数据进行曲线拟合,构建生长发育模型。结果表明:株高的生长量方程为Y=48.151/(1+64.478e^(-0.235x))^(1/0.235);叶片的生长量方程为:Y=3.429/(1+0.006e^(-0.105 x))^(1/0.001);花茎的生长量方程为:Y=7.387/(1+2 245.212e^(-0.223 x))^(1/0.963 8);花苞的生长量方程为:Y=15.313/(1+841.027e^(-0.136 x))^(1/1.687),4个生长方程的决定系数R^2分别为0.999、0.985、0.994和0.989,其生长量曲线的实测值与预测值高度拟合,满足"慢-快-慢"的生长规律。4个生长方程很好的揭示了百合从营养生长到生殖生长过程中各器官生长的发育规律,能够预测花苞开裂后花被片生长的情况。

In order to provide necessary technical reference for further accurate management of water and fertilizer in lily,this paper studied its growth process from vegetative growth to reproductive.with Lilium‘Conca D,or’as material,and fitted the measured data of plant height,leaves,stems,flower bracts by Richards equation and exponential equation,and then constructed the growth model.The results showed as follows：the plant heights equation was Y=48.151/（1＋64.478e-0.235x）1/0.235;the leaves equation was Y=3.429/（1＋0.006e-0.105x）1/0.001;the stems equation was Y=7.387/（1＋2 245.212e-0.223x）1/0.963 8;the flower bracts was Y=15.313/（1＋841.027e-0.136x）1/1.687.The determination coefficients R2of the four growth equations were 0.999,0.985,0.994 and 0.989,respectively.The measured values of the growth curves were highly fitted with the predicted values,and the growth law of＂slow-fast-slow＂was satisfied.The four growth equations revealed the growth law of lily organs from vegetative growth to reproductive growth and could predict the growth condition of the perianth piece after the bud was cracked.