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Optimization of Biomass and Recruitment in Larval Settlement Delay-Differential Equations

This study presents a model using delay-differential equations to analyze the equilibrium of biomass and larval settlement recruitment. It investigates the ratio of gain rate to loss rate, where parameters such as a, b, and Lo are defined in relation to fishing mortality distribution and gravity weight (Wi). The model aims to provide insights into optimizing strategies for managing fish populations, particularly focusing on the effects of effort distribution on recruitment success. Parameter values are derived to enhance the accuracy of predictions.

andrew-slater
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Optimization of Biomass and Recruitment in Larval Settlement Delay-Differential Equations

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Presentation Transcript

  1. EDOM EQUATIONS Equilibrium delay-differential optimization model

  2. Biomass and numbers EACH PREDICTION IS A RATIO OF GAIN RATE TO LOSS RATE

  3. Larval settlement

  4. Recruitment Where: a=KRo/Lo b=(K-1)/Lo and Lo≈Ro(wr+kw∞/M)/(M+k)

  5. Effort (fishing mortality) distribution HERE, Wi IS THE “GRAVITY WEIGHT” Wi=Bip/Ci

  6. Test parameter values

  7. Derived parameters

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