用Logistic方程拟合番茄(Lycopersion)产量累积曲线的研究

本文对44个番茄品种(或F_1)的产量累积曲线与产量构成曲线分别用Logistic方程与其微分方程进行了拟合,拟合的精确性用相关指数R、R_1度量。用Logistic方程拟合番茄产量累积曲线其相关指数(R)在0.99035742—0.99934475之间,用其微分方程拟合的产量构成曲线,其相关指数(R_2)在0.72469047—0.98656061之间。本文对这两种方法拟合的结果进行了比较。本文还给出了这44个番茄品种(或F_1)的t_(A/2)值,并提出t_(A/2)值可作为番茄熟期的指标。

Studies on the Curve Fitting of Output of Tomato (Lycopersion) Using Logistic Equation

In this paper, the cumulative and structural curves of output of 41 tomato varieties(or F_1) are fitted, using Logistic equation and its differential equation. The parameters of Logistic equation(A, K, n) are estimated by best selective method (0.618 method), and the paraneters of its differential equation (A_1, K_1) are estimated by the normal least square method. The goodnes of fit is measured by correlation indexes (R, R_1). The correlation indexes fitted using Logistic equation(R) range from 0.99035742 to 0.99934475, and using its differential equation (R_1) range from 0.72469047 to 0.98655061 and the results of these two methods are compared. The values of t_(A/2) of these 44 tomato varieties(or F_1) are given in this paper. It is regarded that the values of t_(A/2) cart be used as a measurement of its ripe time.