台湾凤梨释迦果实生长发育的数学模型研究

Mathematic Model of Fruit Growth and Development of Atemoya cv. Tai Wan( Annona squamosa L.

[目的]确定凤梨释迦合理的栽培管理时期,建立该品种果实生长发育的数学模型。[方法]通过测定凤梨释迦果实生长发育期间果实纵径、横径、果柄长度和果柄粗度,建立凤梨释迦果实生长发育模型。[结果]授粉28 d后,凤梨释迦果实的纵径、横径存在一个迅速生长期,期间果实纵径发育速度明显快于横径,而果柄在此期间加粗生长和伸长生长也呈快速增长趋势;授粉56 d后果实发育和果柄生长均进入缓慢生长期。果实与果柄发育存在同步性,且各指标相关系数达0.980 00以上,各指标与授粉后天数之间回归方程相关系数达0.970 00以上。[结论]台湾凤梨释迦果实横径、纵径、果柄长和果柄粗与授粉后发育天数之间存在明显的多项式回归关系,且其生长进程数学模型同为三次方程。该数学模型拟合良好,能够较好地反映果实和果柄的生长发育动态变化。

[Objective] To determine the reasonable cultivation period for atemoya, and to establish the mathematical model of the growth of fruits of this variety.[ Method] We detected the fruit longitudinal diameter, transverse diameter, fruit stalk length and width during the fruit growth and development of atemoya, and to establish the fruit growth model of atemoya.[Result] Atemoya fruit transverse diameter and longi-tudinal diameter had a growth peak on 28 days after pollination.Fruit diameter growth rate was significantly faster than the transverse diameter during the period of rapid growth.Fruit stalk width growth and elongation growth during this period also showed a rapid growth trend.Fruit size and Fruit stalk growth were both at a slow growth period on 56 d after pollination.Synchronization growth was observed for fruit and fruit stalk development.The correlation coefficient of each index was greater than 0.980 00.The regression equation of the correlation coefficient be-tween day number after pollination and each index was greater than 0.970 00.[Conclusion] There are obvious polynomial regression relations among atemoya fruit transverse and longitudinal diameters, stalk length, stalk width and growth days after pollination, and the mathematical model of the growth process is also a cubic equation.This mathematic model has good fitting, and can better reflect the dynamic changes of fruit and stalk development.