金柑果实生长发育的数学模型研究

目的]建立金柑果实生长发育的数学模型,以确定适合金柑生长的栽培措施。方法]以融安金柑为试材,通过测定金柑果实生长发育期间果实纵径、横径、发育天数等指标,建立融安金柑果实的生长模型,明确其相互间的变化规律。结果]花后30 d内,金柑果实的纵、横径存在1个迅速生长期,期间果实纵径发育速度明显快于横径;花后30 d后,果实发育进入缓慢生长期,果实横径发育速度略快于纵径;花后100～110 d,果实大小有1个增长小高峰。果实横径（y）与发育天数（x）之间的生长模型方程为y=0.000 057x2-0.007 971x＋0.611 333,R2=0.995 0;果实纵径（y）与发育天数（x）之间的生长模型方程为y=0.000 097x2-0.013 264x＋0.855 225,R2=0.990 2。结论]金柑果实横径、纵径与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二次方程。

Study on Mathematic Model for Growth and Development of Fortunella crassifolia Fruit

Objective] The study aimed to establish the mathematic model for growth and development of Fortunella crassifolia fruit so as to make sure the cultivation measure suitable for growth of F.crassifolia.Method] With Rongan F.crassifolia as the tested material,the growth model for F.crassifolia fruit was established through determining the indexes such as the vertical diameter,transverse diameter and developing days of the fruits during the growth and development of F.crassifolia and the change law among the indexes was made clear.Result] In 30 d after flowering,there was a fast growing period for the vertical diameter and transverse diameter of the fruits and the vertical diameter grown faster than the transverse diameter.After flowering for 30 d,the fruit development got into a slowing growth period and the transverse diameter grown a little faster than the vertical diameter.After flowering for 100 to 110 d,there was a small growing peak.The regression equation of the transverse diameter(y) and the developing days(x) was y=0.000 057x2-0.007 971x +0.611 333,R2=0.995 0.The regression equation of the vertical diameter(y) and the developing days(x) was y=0.000 097x2-0.013 264x+0.855 225,R2=0.990 2.Conclusion] There was a polynomial regression relation among the vertical diameter,transverse diameter and developing days of the fruits and their growth course mathematical models all were the quadratic equations.