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The increment of the Richards (or von Bertalanffy, rho = 1) curve over an elapsed time e from a current mean length L: $$L(t + e)^\rho = L_\infty^\rho + (L^\rho - L_\infty^\rho) e^{-K e}$$ Applied to a length that sits on the curve it returns the curve's value e later, so splitting a year into seasons changes nothing; applied to a length kept from an earlier year's parameters it is how a cohort keeps its own history.

Usage

grow_increment(L, e, K, Linf, rho = 1)

Arguments

L

Mean length(s) at the start, possibly AD.

e

Elapsed time in years (data).

K, Linf, rho

Growth rate, asymptote and Richards coefficient in effect.

Value

Mean length(s) after the increment.