Constructing a Mathematical Model of a Fishery System to Estimate Ideal Aquaculture and Capture Fishery Production

摘要

The balance between capture fishery and aquaculture production is extremely important for maintaining and developing the fishery industry. In this study, we addressed the problem of optimizing aquaculture and capture fisheries production from the viewpoint of effectively using finite aquatic resources. Our goal was to maximize total fishery production by controlling the ratio of aquaculture to capture fishery production. A simple mathematical model was constructed to describe total fishery productionas the sum of capture fishery production and aquaculture production. This model did not consider any economic aspects, but simply focused on the production flow. Aquaculture and capture fishery production interacted in the model via the parameter alpha.which was defined as the ratio of capture fishery production that turned into aquaculture bait. It was assumed that there was a bounded exponential curve relationship between the amount of bait used in aquaculture and aquaculture production. It was alsoassumed that aquaculture production was not used for bait in aquaculture or capture fishery. Within this framework, total production was critically dependent on the parameter alpha. We also analyzed the FAO data (nonfood uses, aquaculture, and capture production data were used). The results indicated that total fishery production was maximized if the amount of the bait used in aquaculture is limited to about15% of capture fishery production. Sensitivity analysis also indicated that the upper bound of ashould be maintained at less than18.9% to maximize total fishery production.