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描述鱼类的生长,常用 von Bertalanffy 生长方程,但它是在 W=AL~3的假设条件下提出的。本文根据 W=aL~b 这一般情况,推导出鱼类的体长生长式为L_(t)=L_∞[1-e~(-k)(t-t_0)]~(1/b-2),体重增长式为 W_(t)=W_∞[1-e~(-k)(t-t_0)]~(b/b-2),并导出了生长速度、生长加速度、相对生长率的计算公式,确认不仅体重增长曲线存在拐点,体长生长曲线也有可能存在拐点。本文以 W=aL~b 代替 W=AL~3,较之 von Bertalanffy 生长方程有更普遍的意义。本文还以绿鳍马面鲢为例,估计了各项生长参数,计算了各项生长指标,得到了较为满意的结果。
Describing the growth of fish, the von Bertalanffy growth equation is used, but it is proposed under the assumption of W = AL ~ 3. According to the general case of W = aL ~ b, we deduce that the growth of fish body length is L t = L_∞ [1 -e ~ (-k) (t-t_0)] ~ (1 / b-2 ), The body weight growth equation is W_ (t) = W_∞ [1-e ~ (-k) (t-t_0)] ~ (b / b-2), and the growth rate, growth acceleration, relative growth rate Calculation formula, confirm not only the inflection point weight growth curve, body length growth curve may also have inflection point. In this paper, we replace W = AL ~ 3 with W = aL ~ b, which has a more general meaning than the von Bertalanffy growth equation. In this paper, the green fins horse-faced silver carp, for example, estimated the growth parameters, calculated the growth indicators, obtained more satisfactory results.