How do we calculate theoretical age at zero length (to) in fish population dynamics? Can we take the antilog of Pauly's equation of Log (to) to calculate the same?
I found this, which might help:
Article Estimating Age at a Specified Length from the von Bertalanff...
I would recommend not thinking of t0 as the age at zero length (theoretical or otherwise) but simply as a convenient adjustment that allows the von Bertalanffy function to better fit age/length data from rather older individuals. Fish are not obliged to grow according to the von B function. It is only a useful approximation to their biology and it is one that does not fit well to the growth patterns of the very young -- hence the need for a t0 parameter. If, however, t0 is only a convenient adjustment, then it has no meaning outside of a particular fit of the von B function to a particular dataset and there is no point in trying to calculate a value for it, other than as a side product of fitting the equation.
https://www.symbolab.com/solver/logarithmic-equation-calculator
Use this calculator and directly input the values of the equation
Log(-t0) = - 0.392 - 0.275LogL∞ - 1.038LogK
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