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Keywords:

  • environmental stochasticity;
  • fish populations;
  • stochastic age-structured dynamics;
  • stock-recruitment;
  • transfer functions;
  • trends

Summary

  • 1
    Trends and fluctuations in populations are determined by complex interactions between extrinsic forcing and intrinsic dynamics. As an example, the dynamics of many marine fish are characterized by age-structured dynamics forced by stochastic recruitment.
  • 2
    In this study we develop stochastic age-structured models for two case studies, the Atlantic bluefin tuna and the Atlantic cod. The former exemplifies intracohort interactions and density-dependent reproduction, the latter exemplifies density-dependent survival and intercohort interactions.
  • 3
    We use transfer functions and delay-coordinate models to study how the combination of age-structured interactions and stochastic recruitment can induce low-frequency variability. ‘Cohort resonance’, as we dub this effect, can induce apparent trends in abundance and may be common in age-structured populations.
  • 4
    Our study complements the theory of structured populations that focuses on cycles and chaos (high-frequency dynamics).
  • 5
    The innate low-frequency fluctuations we describe can potentially mimic or cloak critical variation in abundance linked to environmental change, over-exploitation or other types of anthropogenic forcing.
  • 6
    From a management and conservation viewpoint, it will be important to find ways to separate anthropogenic forcing from cohort resonant effects and/or to understand the way they interact.