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  • 1Department of Mathematics & Statistics, University of Guelph, Guelph, ON, N1G 2W1, Canada.

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Summary
This summary is machine-generated.

This study enhances a fish population model by incorporating size-dependent foraging and adult energy allocation for growth and reproduction. The updated model offers different predictions for fish age structure and sustainable harvesting strategies.

Keywords:
Delay differential equationsFish ecologyPhysiologically-structured population modelSize-dependent foraging

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Area of Science:

  • Ecology
  • Population Dynamics
  • Fisheries Science

Background:

  • Physiologically-structured population models (PSPMs) are crucial for understanding fish dynamics.
  • Previous models often simplify foraging and energy allocation in adult fish.

Purpose of the Study:

  • To generalize a PSPM for fish populations by including a size-dependent functional response for foraging.
  • To enhance the model by allowing adult energy distribution for both reproduction and growth.
  • To analyze the impact of these generalizations on population equilibria, stability, and harvesting strategies.

Main Methods:

  • The study builds upon a pre-existing physiologically-structured model.
  • Incorporated a size-dependent functional response to model foraging rates.
  • Generalized adult energy allocation to include reproduction and growth.
  • Determined population equilibria and analyzed their stability.
  • Discussed implications for fisheries management and harvesting strategies.

Main Results:

  • The generalized model yields different predictions compared to the original model regarding fish age distribution.
  • The updated model provides alternative insights into optimal harvesting strategies.
  • Population equilibria and stability are affected by the incorporated size-dependent and reproductive dynamics.

Conclusions:

  • Generalizing foraging and energy allocation in PSPMs significantly alters predictions for fish populations.
  • The enhanced model offers a more realistic framework for assessing the effects of fishing on fish populations and developing effective management plans.