Yamaguchi Masashi
Marine Laboratory, University of Guam, 96910, Agana, Guam.
Oecologia. 1975 Dec;20(4):321-332. doi: 10.1007/BF00345522.
The time interval over which growth rates are measured modifies the observed growth rates in non-linear growth curves. Growth rates obtained from a sigmoid curve such as the logistic growth equation may appear as if they were derived from the non-sigmoid von Bertalanffy growth equation when the small stage is not represented in the hypothetical growth observation. The inflection point of a sigmoid curve may be underestimated in noninstantaneous growth rate data when they are plotted on a graph against the initial sizes. This problem is significant for marine macro-benthos, whose growth is likely to be sigmoid and initiates mostly at microscopic sizes, when the popular von Bertalanffy growth equation is fitted to the observed growth rate data. Even when the von Bertalanffy growth equation appears to represent the observed growth rates adequately, extrapolation of the equation toward the smaller stage may require an independent investigation.
测量生长速率的时间间隔会改变非线性生长曲线中观察到的生长速率。当在假设的生长观察中未体现小阶段时，从诸如逻辑斯蒂生长方程的S形曲线获得的生长速率可能看起来就好像是从非S形的冯·贝塔朗菲生长方程推导出来的。当非瞬时生长速率数据相对于初始大小绘制在图表上时，S形曲线的拐点在这些数据中可能会被低估。对于海洋大型底栖生物来说，这个问题很重要，它们的生长很可能是S形的，并且大多从微观大小开始，而当将常用的冯·贝塔朗菲生长方程应用于观察到的生长速率数据时就会出现此问题。即使冯·贝塔朗菲生长方程似乎能充分代表观察到的生长速率，但将该方程外推到较小阶段可能需要进行独立研究。
