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Local sensitivity equations for maximum sustainable yield reference points.

Nan Zheng1, Shijia Wang2, Noel Cadigan1

  • 1Marine Institute of Memorial University. P.O. Box 4920 St. John's, NL Canada A1C 5R3.

Theoretical Population Biology
|July 26, 2019
PubMed
Summary
This summary is machine-generated.

Understanding maximum sustainable yield (MSY) reference points is crucial for fisheries management. This study derives equations to explain how MSY fishing mortality (Fmsy) and biomass (Bmsy) change with input variations.

Keywords:
Harvest strategyLocal influencePerturbation analysisSpawner per recruitYield per recruit

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Area of Science:

  • Fisheries Science
  • Quantitative Ecology
  • Population Dynamics

Background:

  • Fisheries management globally relies on maximum sustainable yield (MSY) reference points (RPs), specifically Fmsy (fishing mortality) and Bmsy (biomass).
  • Assessing the sensitivity of these RPs to input parameters and assumptions is vital for robust management strategies.

Purpose of the Study:

  • To derive diagnostic equations for the slopes of Fmsy and Bmsy as functions of perturbed inputs (influence curves).
  • To provide a conceptual understanding of how Fmsy and Bmsy respond to changes in input parameters, beyond simple computational sensitivity analysis.

Main Methods:

  • Perturbation analysis of input parameters to generate influence curves for Fmsy and Bmsy.
  • Derivation of diagnostic equations for the slopes of these influence curves at the origin (no perturbation).

Main Results:

  • The curvature of the equilibrium yield curve near Fmsy is a key determinant of Fmsy sensitivity.
  • Low density-dependence in recruitment productivity, as indicated by the stock-recruitment function, significantly affects Bmsy sensitivity.
  • Fmsy generally increases with higher body growth rates, asymptotic size, earlier maturation, decreased natural mortality, and specific stock-recruitment functions (e.g., Ricker).

Conclusions:

  • The derived equations offer a mechanistic understanding of MSY RP sensitivity to ecological and fishery parameters.
  • Factors like growth, maturation, mortality, and stock-recruitment dynamics critically influence harvest strategy reference points.
  • The sensitivity of Bmsy often mirrors that of Fmsy, providing insights into overall stock productivity responses.