Connectivity between two fishing sites can lead to an emergence phenomenon related to Maximum Sustainable Yield

IF 1.9 4区数学 Q2 BIOLOGY

Journal of Theoretical Biology Pub Date : 2024-09-05 DOI:10.1016/j.jtbi.2024.111913

Doanh Nguyen-Ngoc , Tri Nguyen-Huu , Pierre Auger

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引用次数: 0

Abstract

In this study, we examine the effects of connectivity on the total catch of a fishery consisting of two fishing sites when the fish population is a predator of a larger prey–predator system. To this end, we analyze a prey–predator fish community model in a two-site environment and compute catch at Maximum Sustainable Yield (MSY). We exhibit some emergence phenomenon: the total catch can be greater than the sum of the catch at two isolated sites due to connectivity. This result is obtained when the two sites are heterogeneous. We show that the increase in capture at MSY is maximal for a certain value of the carrying capacity of the second site, all other parameters remaining constant, including the carrying capacity of the first site. A stronger phenomenon can also be observed: even if none of the sites is viable for fishing, the entire system can be viable. We then study the effects of the heterogeneity of the sites and illustrate our results through simulations. It is shown that the excess yield at MSY can become very significant when the characteristics of the prey and predator in terms of potential growth are opposite at each site.

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两个渔场之间的连通性会导致出现与最大持续产量有关的现象。

在本研究中，我们研究了当鱼类种群是更大的猎物-捕食者系统中的捕食者时，连通性对由两个渔场组成的渔场总渔获量的影响。为此，我们分析了两地环境中捕食者-捕食者鱼类群落模型，并计算了最大持续产量（MSY）下的渔获量。我们发现了一些新现象：由于连通性，总渔获量可能大于两个孤立地点的渔获量之和。当两个地点是异质时，就会出现这种结果。我们发现，在第一个地点的承载能力等所有其他参数保持不变的情况下，第二个地点的承载能力达到一定值时，MSY 捕获量的增幅最大。还可以观察到一个更强的现象：即使没有一个地点可以捕鱼，整个系统也可以生存。然后，我们研究了渔场异质性的影响，并通过模拟来说明我们的结果。结果表明，当每个地点的猎物和捕食者在潜在增长方面的特征相反时，MSY 的超额产量会变得非常显著。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Theoretical Biology 生物-生物学

CiteScore

4.20

自引率

5.00%

发文量

218

审稿时长

51 days

期刊介绍： The Journal of Theoretical Biology is the leading forum for theoretical perspectives that give insight into biological processes. It covers a very wide range of topics and is of interest to biologists in many areas of research, including: • Brain and Neuroscience • Cancer Growth and Treatment • Cell Biology • Developmental Biology • Ecology • Evolution • Immunology, • Infectious and non-infectious Diseases, • Mathematical, Computational, Biophysical and Statistical Modeling • Microbiology, Molecular Biology, and Biochemistry • Networks and Complex Systems • Physiology • Pharmacodynamics • Animal Behavior and Game Theory Acceptable papers are those that bear significant importance on the biology per se being presented, and not on the mathematical analysis. Papers that include some data or experimental material bearing on theory will be considered, including those that contain comparative study, statistical data analysis, mathematical proof, computer simulations, experiments, field observations, or even philosophical arguments, which are all methods to support or reject theoretical ideas. However, there should be a concerted effort to make papers intelligible to biologists in the chosen field.