Table 3. The models fitted to relationships among body weight, body length, rTL and age estimated by GLG counts.

Relationship (y~x)	Model used	β	c	Le	R2	AIC	Residual standard error
Weight~age	Positive logistic modela	0.14	−0.81	309.33	0.77	181.24	32.61
Length~age	MPositive logistic modela	0.09	0.86	265.62	0.39	221.98	22.33
rTL~age	Negative logistic modelb	−0.10	−3.57	−33.17	0.82	−68.94	0.1005
Weight~rTL	Logarithm modelc	164.56	−29.39	–	0.43*	427.88	55.48
Length~rTL	Logarithm modelc	214.08	−11.75	–	0.51*	343.85	18.89
Weight~length	Linear regression modeld	161.33	0.34	–	0.78*	448.32	11.93

Notes:

^a$Y={\displaystyle \frac{L}{1+e^{-\left(c+\beta X\right)}}}$.

^bY $={\displaystyle \frac{L}{1-e^{-\left(c+\beta X\right)}}}$.

^c$Y=\beta \log \left(X\right)+c$.

^d$Y=\beta X+c$.

^eL represents the limiting value for logistic function.

^*p-Value < 0.0001.