Abstract

Collapses and regime changes are pervasive in complex systems (such as marine ecosystems) governed by multiple stressors. The demise of Atlantic cod (Gadus morhua) stocks constitutes a text book example of the consequences of overexploiting marine living resources, yet the drivers of these nearly synchronous collapses are still debated. Moreover, it is still unclear why rebuilding of collapsed fish stocks such as cod is often slow or absent. Here, we apply the stochastic cusp model, based on catastrophe theory, and show that collapse and recovery of cod stocks are potentially driven by the specific interaction between exploitation pressure and environmental drivers. Our statistical modelling study demonstrates that for most of the cod stocks, ocean warming could induce a nonlinear discontinuous relationship between fishing pressure and stock size, which would explain hysteresis in their response to reduced exploitation pressure. Our study suggests further that a continuing increase in ocean temperatures will probably limit productivity and hence future fishing opportunities for most cod stocks of the Atlantic Ocean. Moreover, our study contributes to the ongoing discussion on the importance of climate and fishing effects on commercially exploited fish stocks, highlighting the importance of considering discontinuous dynamics in holistic ecosystem-based management approaches, particularly under climate change.

Highlights

  • Collapses and regime changes are pervasive in complex systems such as marine ecosystems [1 –3] and can affect fish populations [4,5], trophic level communities [6,7,8] and entire large marine ecosystems [9,10,11,12,13]

  • We applied stochastic cusp modelling to 19 cod stocks from both sides of the North Atlantic

  • The model results indicate that in 13 out of the 16 valid cusp models, SST was a significant predictor of cod spawners biomass (SB) dynamics

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Summary

Introduction

Collapses and regime changes are pervasive in complex systems such as marine ecosystems [1 –3] and can affect fish populations [4,5], trophic level communities [6,7,8] and entire large marine ecosystems [9,10,11,12,13]. We address the question of how fishing pressure and climatic changes (represented by sea surface temperature (SST)) interact to cause patterns of collapse and recovery of Atlantic cod stocks, applying an approach based on catastrophe theory. Our cusp modelling approach can be visualized as a threedimensional landscape where the trajectory of cod stock size in response to changing fishing mortality can be continuous (i.e. linear, with one stable equilibrium) or discontinuous (i.e. folded, with two stable equilibria and one unstable equilibrium) depending on SST (based on the results of equation (2.5)). We applied the stochastic cusp model to investigate how the interaction of fishing pressure and environmental conditions affects patterns of collapse and recovery of Atlantic cod stocks. All analyses were conducted in the statistical programming environment R [59] with RSTUDIO (v. 3.3.1) [60] using the R package cusp [61], in particular the function ‘cusp’

Results and discussion
55. O’Brien CM et al 2000 Climate variability and
58. Selkoe KA et al 2015 Principles for managing
86. Pershing AJ et al 2015 Slow adaptation in the face
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