Gille U, Salomon F V
Institute of Veterinary Anatomy, University of Leipzig, Germany.
Growth Dev Aging. 1995 Winter;59(4):207-14.
The Janoschek growth curve was reviewed and a reparameterized form was presented which includes 4 biologically interpretable parameters: the weight at hatching/birth (W0), asymptotic (adult) weight (A), the time to grow to half of the final weight (t50) and a shape parameter (p) adjusting the degree of maturity when growth rate peaks. The model obtained was compared to the Richards, Bertalanffy, Gompertz and Logistic growth curve using bone weight data in White Pekin ducks. The Janoschek yielded least residual sums of squares for humerus mass and the Richards model for femur mass with only minor differences between both equations. All 3-parameter models failed to give reasonable estimations of the weight at hatching; in some cases further growth curve characteristics were unrealistic. The femur showed a higher degree of maturity at hatching, an earlier growth rate peak and its development preceded that of the humerus. This differential growth is an evolutionary feature first seen in birds.
对雅诺谢克生长曲线进行了回顾，并给出了一种重新参数化的形式，其中包括4个具有生物学解释意义的参数：孵化/出生时的体重（W0）、渐近（成年）体重（A）、生长至最终体重一半所需的时间（t50）以及一个形状参数（p），用于调整生长速率达到峰值时的成熟度。使用北京鸭的骨骼重量数据，将得到的模型与理查兹、贝塔朗菲、冈珀茨和逻辑斯蒂生长曲线进行了比较。雅诺谢克模型在肱骨质量方面产生的残差平方和最小，而理查兹模型在股骨质量方面产生的残差平方和最小，两个方程之间只有微小差异。所有三参数模型都未能对孵化时的体重给出合理估计；在某些情况下，进一步的生长曲线特征也不现实。股骨在孵化时显示出更高的成熟度、更早的生长速率峰值，并且其发育先于肱骨。这种差异生长是鸟类首次出现的一种进化特征。
