Systematic deviations from linear size spectra of lake fish communities are correlated with predator-prey interactions and lake-use intensity

Size structure of organisms at logarithmic scale (i.e. size spectrum) can often be described by a linear function with a negative slope; however, substantial deviations from linearity have often been found in natural systems. Theoretical studies suggest that greater nonlinearity in community size spectrum is associated with high predator-prey size ratios but low predator-prey abundance ratios; however, empirical evaluation of the effects of predator-prey interactions on nonlinear structures remains scarce. Here, we aim to empirically explore the pattern of the size-specific residuals (i.e. deviations from the linear regression between the logarithmic fish abundance and the logarithmic mean fish size) by using size spectra of fish communities in 74 German lakes. We found that nonlinearity was strong in lakes with high predator-prey abundance ratios but at low predator-prey size ratios. More specifically, our results suggest that only large predators, even if occurring in low abundances, ...