金太阳杏果实生长发育的数学模型研究

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,建立起金太阳杏果实生长模型。金太阳杏果实纵、横、侧径、鲜重与体积生长曲线呈“双S”型,生长模型曲线分别为:y=-2.711 9+0.352 8x-0.007x2+5×10-5x3,R2=0.989;y=-2.751 8+0.303 3x-0.005 2x2+3.4×10-5x3,R2=0.990;y=-2.506 8+0.276 7x-0.004 8x2+3.2×10-6x3,R2=0.988;y=-22.756+1.978 4x-0.351x2+0.000 3x3,R2=0.991;y=-15.344+1.193 2x-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+56.121 2×0.880 5x),R2=0.995。

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

During the growth and development period,through the measure of the vertical diameter,horizontal diameter,side diameter,fruit volume,fresh weight and dry weight of golden gun apricot's fruit,the growth models were set up.The results indicated that the growth curve of the vertical diameter,horizontal diameter,side diameter,fruit volume and fresh weight of golden gun apricot's fruit was double S-shaped curves.The growth models were dynamic equations as follows:y=-2.7119+0.3528x-0.007x~2+5×10-5x~3,R~2=0.989;y=-2.751 8+0.303 3x-0.005 2x~2+3.4×10~(-5)x~3,R~2=0.990;y=-2.506 8+0.276 7x-0.004 8x~2+3.2×10~(-6)x~3,R~2=0.988;y=-22.756+1.978 4x-0.351x~2+0.000 3x~3,R~2=0.991 andy=-15.344+1.193 2x-0.01x~2+8.8×10~(-5)x~3,R~2=0.994.The growth curve of the dry weight of fruit was S-shaped curve.The growth models was a dynamic equation:y=1/(1/7+56.121 2×0.880 5x),R~2=0.995.