Optimal Aquaculture Planning While Accounting for the Size Spectrum

Hidekazu Yoshioka ()
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Hidekazu Yoshioka: Japan Advanced Institute of Science and Technology

SN Operations Research Forum, 2023, vol. 4, issue 3, 1-34

Abstract: Abstract Aquaculture planning of a fish species requires a balance between the feeding costs and commercial benefits while considering that the resources should not be disposed of at the terminal time. Furthermore, the planning process should account for the size spectrum, namely that different individual fishes have different body sizes. Herein, we present a novel dynamic programming method to anticipate and tackle these issues consistently. The opening time of harvesting and the subsequent harvesting policy after that time are the decision variables. The novelty of the presented model is its ability to efficiently describe the distributed body weights based on a logistic growth model having an unknown maximum body weight distributed according to a probability measure. We start from a discrete-time and discrete-state model on a daily basis and then obtain its continuous-state counterpart. The innovative two models are presented for the first time, and the former serves as the fully implementable numerical discretization of the latter. We present application examples of the proposed models to real data of an ongoing aquaculture system for the ayu sweetfish Plecoglossus altivelis altivelis in Japan.

Keywords: Aquaculture system; Size spectrum; Dynamic programming; Optimal stopping and control; Plecoglossus altivelis altivelis; 37N40; 49L20; 62L15; 90C39 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s43069-023-00241-4

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