Stock assessment of landlocked ayu Plecoglossus altivelis altivelis in Japan through length-based models

Khatun, Dalia; Tanaka, Tomomi; Aranishi, Futoshi

doi:10.1007/s11356-022-22289-1

Cited by 4 publications

(1 citation statement)

References 82 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We also present a simple finite difference method for discretizing the HJBI equation to provide demonstrative examples using real data. Finally, we apply the proposed control problem to a harvesting problem of the inland fishery resource Ayu Plecoglossus altivelis altivelis , which is one of the most recreationally, economically, and ecologically important fish species in Japan (Khatun et al, 2023; Yamamoto et al, 2023). Although the authors have studied the harvesting problems of this fish, their models have assumed only homogeneous populations (Yoshioka & Yaegashi, 2018; Yoshioka et al, 2019c).…”

Section: Introductionmentioning

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

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.

show abstract