Implications of a warming North Sea for the growth of haddock Melanogrammus aeglefinus

Abstract
The present study aimed firstly, to test for a temperature effect on North Sea haddock Melanogrammus aeglefinus growth and secondly, to develop a model that could be used to assess total length (LT) and mass (M)‐at‐age response to different temperature scenarios. The von Bertalanffy growth model was fitted on a cohort‐by‐cohort basis from 1970 to 2006. The asymptotic LT (L) was negatively correlated with temperature while the rate at which L is reached (K) was positively correlated with temperature. K was negatively correlated with density, whereas no effect on L was observed. These effects were incorporated into a von Bertalanffy model which was extended to include temperature and density as explanatory variables. Only the temperature variable was significant. Fitting the extended von Bertalanffy model revealed that L decreased while K increased with increasing temperature, resulting in up to a 40% loss of individual yield at older ages. The dramatic decline observed in the mean age at which 50% of the population becomes mature suggests that higher temperatures resulted in larger young M. aeglefinus that matured earlier and therefore reached a smaller maximum size. In a global warming context, the loss of individual yield observed at old ages is likely to reduce the fisheries yield for M. aeglefinus in the North Sea.