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Optimal Harvesting in Stream Networks: Maximizing Biomass and Yield.

Tung D Nguyen1, Zhisheng Shuai2, Tingting Tang3

  • 1Department of Mathematics, University of California Los Angeles, Los Angeles, CA, 90024, USA.

Bulletin of Mathematical Biology
|May 19, 2026
PubMed
Summary
This summary is machine-generated.

This study develops a metapopulation model to find optimal harvesting strategies in stream networks. A single strategy can maximize both biomass and yield when population growth is high.

Keywords:
Asymmetric movementHarvestingMetapopulation modelNetwork connectivityStream networkSustainable yieldTotal biomass

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Area of Science:

  • Ecology
  • Population Dynamics
  • Conservation Biology

Background:

  • Sustainable harvesting is crucial for managing aquatic populations.
  • Stream networks present complex spatial structures influencing population dynamics.
  • Metapopulation models are valuable tools for understanding species persistence in fragmented habitats.

Purpose of the Study:

  • To develop a metapopulation model framework for optimizing harvesting strategies in stream networks.
  • To identify strategies that maximize total biomass and total yield under fixed harvesting effort.
  • To analyze optimal strategies for both two-patch and general n-patch stream networks.

Main Methods:

  • Development of a metapopulation model framework.
  • Analysis of two distinct optimization objectives: biomass maximization and yield maximization.
  • Characterization of optimal strategies for two-patch and n-patch networks.

Main Results:

  • A single harvesting strategy can simultaneously maximize biomass and yield above a critical population growth rate.
  • For n-patch networks with homogeneous growth rates, optimal strategies depend on intraspecific competition and network connectivity.
  • Patch selection is guided by intraspecific competition and effective net flow metrics.

Conclusions:

  • Metapopulation models provide a robust framework for designing effective harvesting strategies in stream ecosystems.
  • Understanding population growth rates and network structure is key to achieving dual objectives of biomass and yield maximization.
  • The study offers insights into sustainable resource management in interconnected aquatic environments.