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Optimization Model for Biomass in Larval Recruitment Using Delay-Differential Equations

This study presents an optimization model leveraging delay-differential equations to analyze biomass dynamics and numbers in relation to larval settlement and recruitment. Each prediction is formulated as a ratio of gain rate to loss rate. Critical parameters, including (a) and (b), are defined, where (a = KRo/Lo) and (b = (K-1)/Lo), with (Lo) approximating (Ro(wr + kw∞/M)/(M+k)). The model also incorporates fishing mortality effort distribution, with gravity weights defined as (Wi = Bip/Ci). Parameter values and derived metrics are tested to refine the model's predictive accuracy.

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Optimization Model for Biomass in Larval Recruitment Using 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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