A differential growth curve model with a power function based on the r～w diagram and its application to dairy cow growth analysis

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  • r～wダイアグラムに基づく冪関数を導入した成長曲線の微分モデルと乳牛の成長解析への適用
  • r~wダイアグラム ニ モトズク ベキカンスウ オ ドウニュウ シタ セイチョウ キョクセン ノ ビブン モデル ト ニュウギュウ ノ セイチョウ カイセキ エ ノ テキヨウ

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We investigated the characteristics of the differential growth curve model which introduced the power function to demonstrate its effectiveness for animal growth analyses using the relationship diagram between the relative growth rate (r) and biological growth (w) (r～w diagram). The differential model of the power function growth curve was derived from the r～w diagram, and the formula was compared with several growth models. A simulation analysis of the growth dynamics of dairy cows was performed by numerical integration of various model parameters. The differential growth curve model was fitted to the dairy cow growth data using a numerical integration method with an evolutionary strategy algorithm. In this model, r was explained by a power function and w as an explanatory variable, with parameters b, which strongly affects the shape of the power function curve, and c, which strongly affects the level of the curve. In addition, growth was roughly classified into two patterns depending on whether b was positive or negative. The results of the simulation analysis showed that this model explained diverse growth dynamics using various relationships in the r～w diagram. This model was successfully applied to the growth of dairy cows. Taken together, we inferred that the differential power function growth model is a versatile model that is useful for animal growth analyses.

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