How environmental stochasticity can destroy the persistence of macroalgae in a coral reefs ecosystem

IF 1.9 4区 数学 Q2 BIOLOGY
Chaoqun Xu, Qiucun Chen
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引用次数: 0

Abstract

In this study, we mainly investigate how environmental stochasticity can destroy the persistence of macroalgae in a coral reefs ecosystem by analyzing the noise-induced tipping behavior. Firstly, detailed mathematical analysis for all feasible system parameters shows that the deterministic system has rich dynamics, including two types of bifurcations and two types of bistabilities. This also reveals that the dynamic behavior of coral reefs ecosystem could be highly sensitive to the system parameters and initial values. For the stochastic system, two kinds of noise-induced tipping behaviors are numerically found: Transition from coral-free state to macroalgae-free state; transition from coexistence state to macroalgae-free state. We then mainly analyze the impacts of noise intensity on the probability and time that coral reef ecosystem tips between different states, evaluate the extinction risk of macroalgae for different initial values, and eventually assign extinction warning levels to these values. Our analysis reveals that as a fragile marine ecosystem, the evolution trend of the coral reefs depends not only on the system parameters and initial values, but also on the intensity of the stochasticity experienced by the system.
环境随机性如何破坏珊瑚礁生态系统中大型藻类的持久性
在本研究中,我们主要通过分析噪声诱导的倾倒行为来研究环境随机性如何破坏珊瑚礁生态系统中大型藻类的持久性。首先,对所有可行的系统参数进行了详细的数学分析,表明确定性系统具有丰富的动力学特性,包括两类分岔和两类双稳定性。这也揭示了珊瑚礁生态系统的动态行为可能对系统参数和初始值高度敏感。对于随机系统,数值计算发现了两种由噪声引起的倾爆行为:从无珊瑚状态过渡到无巨藻状态;从共存状态过渡到无巨藻状态。然后重点分析了噪声强度对珊瑚礁生态系统在不同状态间切换的概率和时间的影响,评估了不同初始值下大型藻类的灭绝风险,并最终确定了这些初始值的灭绝预警级别。分析表明,作为脆弱的海洋生态系统,珊瑚礁的演化趋势不仅取决于系统参数和初始值,还取决于系统所经历的随机强度。
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
Mathematical Biosciences
Mathematical Biosciences 生物-生物学
CiteScore
7.50
自引率
2.30%
发文量
67
审稿时长
18 days
期刊介绍: Mathematical Biosciences publishes work providing new concepts or new understanding of biological systems using mathematical models, or methodological articles likely to find application to multiple biological systems. Papers are expected to present a major research finding of broad significance for the biological sciences, or mathematical biology. Mathematical Biosciences welcomes original research articles, letters, reviews and perspectives.
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