金太阳杏果实生长发育的数学模型研究

Studies on the Mathematic Model of Golden Sun Apricot's Fruit Growth and Development

在果实生长发育期,通过测定金太阳杏果实纵、横、侧径、体积、鲜重及干重,建立金太阳杏果实生长模型。结果表明,金太阳杏果实纵、横、侧径、体积与鲜重生长曲线呈“双S”型,生长模型曲线分别为:y=-2.7119+0.3528x-0.007x2+5×10-5x3,R2=0.989;y=-2.7518+0.3033x-0.0052x2+3.4×10-5x3,R2=0.990,y=-2.5068+0.2767x-0.0048x2+3.2×10-6x3,R2=0.988;y=-22.756+1.9784x-0.351x2+0.0003x3,R2=0.991,y=-15.344+1.1932x-0.01x2+8.8×10-5x3,R2=0.994;果实干重生长曲线呈“单S”型,生长模型曲线为y=1/(1/7+56.1212×0.8805x),R2=0.995。

During the growth and development period, through measuring the vertical diameter, horizontal diameter, side diarreter, fruit volume, flesh weight and dry weight of the golden gun apricot＇s fruit, the growth models were set up. The results indicated that the growth curves of the vertical diameter, horizontal diameter, side diameter, fruit volume and fresh weight of the golden sun apricot＇s fruit were double S-shaped. Tne growth models were as follows： y= - 2.7119＋0.3528x-0.007x^2 ＋ 5×10^-5x^3（ R2=0.989）, y = - 2. 7518 ＋0.303 3x -0.005 2x^2 ＋ 3.4×10^-5x^3（R2=0.990）, y= -2.5068＋0.2767x-0.0048x^2 ＋3.2 × 10^-6x^3（R2 = 0.988）,y = -22.756＋ 1.978 4x- 0.351x^2 ＋0.000 3x^3（R2 = 0.991）,y = - 15.344＋ 1.193 2x - 0.01 x^2 ＋ 8.8 x 10^-5x^3（ R^2 = 0.994）. The growth curve of the dry weight of the fruit was S-shaped. The growth model was y = 1/（ 1./7 ＋ 56.121 2 x 0.8805^x）（R^2 =0.995）.