Department of Applied Mathematics, University of Waterloo, Waterloo, N2L 3G1, Canada.
School of Environmental Sciences, University of Guelph, Guelph, N1G 2W1, Canada.
Sci Rep. 2018 Feb 7;8(1):2597. doi: 10.1038/s41598-018-20341-0.
The Caribbean coral reef ecosystem has experienced a long history of deterioration due to various stressors. For instance, over-fishing of parrotfish - an important grazer of macroalgae that can prevent destructive overgrowth of macroalgae - has threatened reef ecosystems in recent decades and stimulated conservation efforts such as the formation of marine protected areas. Here we develop a mathematical model of coupled socio-ecological interactions between reef dynamics and conservation opinion dynamics to better understand how natural and human factors interact individually and in combination to determine coral reef cover. We find that the coupling opinion and reef systems generates complex dynamics that are difficult to anticipate without use of a model. For instance, instead of converging to a stable state of constant coral cover and conservationist opinion, the system can oscillate between low and high live coral cover as human opinion oscillates in a boom-bust cycle between complacency and concern. Out of various possible parameter manipulations, we also find that raising awareness of coral reef endangerment best avoids counter-productive nonlinear feedbacks and always increases and stabilizes live coral reef cover. In conclusion, an improved understanding of coupled opinion-reef dynamics under anthrogenic stressors is possible using coupled socio-ecological models, and such models should be further researched.
加勒比珊瑚礁生态系统由于受到各种压力的影响,经历了长期的恶化过程。例如,近年来,由于过度捕捞鹦嘴鱼(一种重要的海藻食草动物,可以防止海藻过度生长),威胁到了珊瑚礁生态系统,从而刺激了保护措施的形成,如建立海洋保护区。在这里,我们开发了一个珊瑚礁动态和保护意见动态之间的耦合社会生态相互作用的数学模型,以更好地理解自然和人为因素如何单独和组合作用来决定珊瑚礁覆盖率。我们发现,耦合意见和珊瑚系统会产生复杂的动态,如果不使用模型,很难预测。例如,系统不会收敛到珊瑚覆盖率和保护主义者意见不变的稳定状态,而是会随着人类意见在自满和关注之间的繁荣-萧条周期中波动,在低活珊瑚覆盖率和高活珊瑚覆盖率之间波动。在各种可能的参数操作中,我们还发现,提高对珊瑚礁濒危的认识可以最好地避免产生适得其反的非线性反馈,并且总是会增加和稳定活珊瑚礁的覆盖率。总之,使用耦合社会生态模型可以更好地理解人为压力下的耦合意见-珊瑚礁动态,并且应该进一步研究这些模型。