Optimization of stocking and harvesting strategies in intensive culture of tilapia (Oreochromis niloticus), considering minimum marketable sizes

Domínguez‐May, Roger; Borrego-Kim, Patricia; Velázquez‐Abunader, Iván

doi:10.1007/s10499-023-01172-x

Cited by 1 publication

(1 citation statement)

References 71 publications

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“…The proposed model can be applied to any other biological resources having physiological heterogeneity, such as a fish species other than P. altivelis (Domínguez-May et al, 2023). We consider that each fish species can be characterized by the growth curve and population decrease/increase because they are used to estimate the biomass.…”

Section: Discussionmentioning

confidence: 99%

Optimal harvesting policy for biological resources with uncertain heterogeneity for application in fisheries management

Yoshioka

2024

Natural Resource Modeling

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Conventional harvesting problems for natural resources often assume physiological homogeneity of the body length/weight among individuals. However, such assumptions generally are not valid in real‐world problems, where heterogeneity plays an essential role in the planning of biological resource harvesting. Furthermore, it is difficult to observe heterogeneity directly from the available data. This paper presents a novel optimal control framework for the cost‐efficient harvesting of biological resources for application in fisheries management. The heterogeneity is incorporated into the resource dynamics, which is the population dynamics in this case, through a probability density that can be distorted from reality. Subsequently, the distortion, which is the model uncertainty, is penalized through a divergence, leading to a nonstandard dynamic differential game wherein the Hamilton–Jacobi–Bellman–Isaacs (HJBI) equation has a unique nonlinear partial differential term. Here, the existence and uniqueness results of the HJBI equation are presented along with an explicit monotone finite difference method. Finally, the proposed optimal control is applied to a harvesting problem with recreationally, economically, and ecologically important fish species using collected field data.

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Section: Discussionmentioning

confidence: 99%

Optimal harvesting policy for biological resources with uncertain heterogeneity for application in fisheries management

Yoshioka

2024

Natural Resource Modeling

View full text Add to dashboard Cite

show abstract

Optimization of stocking and harvesting strategies in intensive culture of tilapia (Oreochromis niloticus), considering minimum marketable sizes

Cited by 1 publication

References 71 publications

Optimal harvesting policy for biological resources with uncertain heterogeneity for application in fisheries management

Optimal harvesting policy for biological resources with uncertain heterogeneity for application in fisheries management

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