10.1371/journal.pone.0228990.g005 James E. Breck James E. Breck Carl P. Simon Carl P. Simon Edward S. Rutherford Edward S. Rutherford Bobbi S. Low Bobbi S. Low P. J. Lamberson P. J. Lamberson Mark W. Rogers Mark W. Rogers Optimal maturation age and length versus von Bertalanffy growth coefficient, for five survival rates. Public Library of Science 2020 fitness function matters life history parameters fitness functions MRN prediction quantifying growth-mortality trade-offs Beverton-Holt life history invariants maturity rate R 0 maturation reaction norm reaction norms yields insights Great Lakes salmon Life history theory Great Lakes Chinook Salmon nonlinear von Bertalanffy growth 2020-03-16 17:30:16 Figure https://plos.figshare.com/articles/figure/Optimal_maturation_age_and_length_versus_von_Bertalanffy_growth_coefficient_for_five_survival_rates_/11989821 <p>In all four panels, the horizontal axis corresponds to the growth rate <i>k</i> in the non-linear von Bertalanffy growth curve. The vertical axis presents the optimal maturation <i>age</i> on the left two panels (A, C) and the optimal maturation <i>length</i> on the right two panels (B, D), for each value of <i>k</i>. For the top two panels the underlying fitness function is <i>R</i><sub>0</sub>; for the bottom two panels the underlying fitness function is <i>r</i>. In each panel, optimal age and size curves are drawn for five values of survival rates <i>s</i> (red: 0.25; orange: 0.50; green: 0.70; blue: 0.80; violet: 0.85). As the annual survival rate increases from <i>s</i> = 0.25 to 0.85, the optimal maturation age and length increase for a given <i>k</i>. In panels A & C, the horizontal black dashed line indicates the age at smolting; the colored points at the peak of the vertical lines indicate the maximum value of optimal maturation ages for a given annual survival <i>s</i>. In panels B and D, the horizontal red dashed line represents the asymptotic length of the von Bertalanffy growth function.</p>