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Increase maximum economic yield in a patchy environment.

Bilel Elbetch1, Ali Moussaoui2, Pierre Auger3

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|December 31, 2024
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Summary
This summary is machine-generated.

Connecting fishing patches boosts maximum economic yield (MEY) profit for fisheries. Fish migration networks increase overall MEY, outperforming isolated fishing grounds.

Keywords:
DispersalLogistic equationMaximum economic yieldResource managementSchaefer modelSlow–fast systemsTikhonov’s theorem

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Area of Science:

  • Fisheries science
  • Ecological modeling
  • Mathematical biology

Background:

  • Fisheries are often managed for maximum economic yield (MEY).
  • Environmental heterogeneity and fish migration patterns influence fishery productivity.
  • Understanding these factors is crucial for sustainable fishing practices.

Purpose of the Study:

  • To investigate the impact of a connected network of fishing patches on the maximum economic yield (MEY) of a fishery.
  • To determine if MEY in a connected system exceeds the sum of MEYs from isolated patches.
  • To analyze the role of fish migration asymmetry in enhancing fishery profits.

Main Methods:

  • Development of a logistic growth model for a fish species.
  • Modeling a heterogeneous environment as a network of interconnected fishing patches.
  • Analysis of fish migration dynamics on a fast time scale.
  • Numerical simulations to compare connected versus isolated fishery systems.

Main Results:

  • The total MEY profit in a connected fishery system can be greater than the sum of MEY profits from isolated patches.
  • Fish migration, particularly asymmetric migration between patches, significantly increases total MEY.
  • Numerical simulations confirm the benefits of interconnectedness for fishery profitability.

Conclusions:

  • Connecting fishing patches through migration networks can enhance overall fishery economic yield.
  • Asymmetric migration patterns play a critical role in maximizing fishery profits.
  • Management strategies should consider the network structure and migration dynamics for optimal economic returns.