仓方早生桃叶面积回归测算方程研究

Study on leaf area regression equation for 'Cangfangzaosheng' peach

以仓方早生桃的成熟叶片为试材,研究了叶长(x1)、叶宽(x2)、叶长×叶宽与叶面积(LA,y)的关系。结果表明,叶长、叶宽、叶长×叶宽与LA均呈正相关关系,相关系数分别为0.9171、0.9445、0.9753;叶长和叶宽、叶长和叶长×叶宽、叶宽和叶长×叶宽与LA的复相关系数分别为0.9862、0.9876、0.9876,差异均达到了极显著水平。在此基础上建立了叶长与LA、叶宽与LA、叶长×叶宽与LA 3个简单线性回归方程以及叶长和叶宽与LA、叶长和叶长×叶宽与LA、叶宽和叶长×叶宽与LA 3个二元回归方程。6个回归方程均可作为测算仓方早生桃的叶面积。其中,以叶长和叶长×叶宽、叶宽和叶长×叶宽与LA的二元回归方程:y=128.6112+0.2677x1+0.6178x1x2、y=-59.0612+11.4454x2+0.5823x1x2测算结果更为精确。在具体应用中,可根据所要求的精确度和测算时的工作量进行选择。

The relation of leaf length （x1）, leaf width （x2）and leaf length x leaf width with leaf area （LA, y） was studied in ＇Cangfangzaosheng＇ peach. The results showed that there was a significantly positive correlation between leaf area and leaf length, leaf width and leaf length × leaf width, and the correlation coefficient was 0.9171, 0.9445 and 0.9753 respectively; the multiple correlation coefficient of leaf length added leaf width, leaf length added leaf length × leaf width, leaf width added leaf length × leaf width with leaf area was 0.9862, 0.9876 and 0.9876 respectively, and the difference was extremely significant. On the base of these analysis results, the simple linearity regress equation of leaf length, leaf width and leaf length x leaf width with leaf was established. At the same time, the binary regression equalion was established for leaf length added leaf width with leaf area, leaf length added leaf length × leaf width with leaf area, leaf width added leaf length × leaf width with leaf area. The leaf area of ＇Cangfangzaosheng＇ peach couht be calculated by these six regression equations. Among them, the computing result of binary regression equation 0=128.6112＋0.2677x1＋0.6178x1x2） from leaf length added leaf length x leaf width with leaf＂ area and the binary regression equation （y=-59.0612＋11.4454x2＋0.5823x1x2） from leaf width added leaf length × leaf width leaf area were more precise. The regression equation could be choose aceording to the requirement of accuracy and the workload of calculation during specific application.