Plant Growth Analysis: Second Derivatives and Compounded Second Derivatives of Splined Plant Growth Curves
Plant Growth Analysis: Second Derivatives and Compounded Second Derivatives of Splined Plant Growth Curves
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植物生长分析：样条植物生长曲线的二阶导数和复合二阶导数
DOI：
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发表时间：
1982
期刊：
影响因子：
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通讯作者：
R. Hunt
中科院分区：
文献类型：
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作者：
R. Hunt
最近用三次样条多项式指数拟合植物生长曲线的工作已经扩展到包括样条线的二阶导数和它们的方差。对于与时间r作图的变量Y和Z，导出了三个新的量：(1)RGR速率，或In Kin T的加速度，d[(1/Y)(dY/aT)]/dT，Z类似；(2)相对加速度(1/Y)(d2Y/DT2)，Z类似；(3)单位加速度(1/Z)(D2Y/DT2)。描述了一个计算机程序，该程序从拟合到实验数据的样条线中推导出这些量及其误差，并提供用于循环，并通过对经典数据和新数据的分析来举例说明新量的生物学相关性。
Recent work employing splined cubic polynomial exponentials as fitted plant growth curves has been extended to include the second derivatives of the splines and their variances. For variâtes Y and Z plotted against time, r, three new quantities have been derived : ( 1 ) the RGR-rate, or the acceleration of In Kin T, d[( 1 / Y) (d Y/a T)]/d T , and similarly for Z; (2) the relative acceleration rate, (1 /Y) (d2Y/dT2), and similarly for Z; and (3) the unit acceleration rate, (1/Z) (d2 Y/dT2). A computer program which derives these quantities, and their errors, from splines fitted to experimental data is described and offered for circulation, and the biological relevance of the new quantities is exemplified by means of analyses of both classical and new data.