Journal of Wetlands Research (한국습지학회지)

Korean Wetlands Society (한국습지학회)
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Non-linear dynamics of wetland vegetation induced by groundwater table

지하수위와 연계된 습지 식생의 비선형 동역학

  • Lee, Okjeong (Division of Earth Environmental System Science (Major of Environmental Engineering), Pukyong National University) ;
  • Kim, Sangdan (Department of Environmental Engineering, 45, Pukyong National University)
  • 이옥정 (부경대학교 지구환경시스템과학부 환경공학전공) ;
  • 김상단 (부경대학교 환경공학과)
  • Received : 2019.04.19
  • Accepted : 2019.05.12
  • Published : 2019.05.31
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Abstract

Bi-directional interaction between vegetation and groundwater table has a great influence on the dynamics of wetland vegetation. In this study, nonlinear dynamics of wetland vegetation affected by groundwater are analyzed. The effect on groundwater is described as a loss term in the governing equation of wetland vegetation and it is explored how the wetland vegetation is likely to converge into two attractors by groundwater table change. From this conceptual approach, the vulnerability to catastrophic shifts in stable state where the current vegetation species are extinct and stabilized by other vegetation species is analyzed in response to groundwater table.

식생과 지하수위 사이의 양방향 상호 작용은 습지 식생의 동역학에 많은 영향을 미친다. 본 연구에서는 지하수위에 의해 영향을 받는 습지 식생의 비선형 동역학이 분석된다. 지하수위에 대한 영향은 습지 식생의 지배방정식에서 손실 항으로 설명되며, 지하수위 변화에 따라서 습지 식생이 어떻게 서로 다른 두 개의 안정적인 상태로 수렴될 가능성이 있게 되는지를 살펴보게 된다. 이러한 개념적 접근법으로부터 지하수위 변화에 따라 현재 습지에 존재하는 식생이 소멸되어 다른 식생 종으로 안정화되는 대변환에 대한 취약성이 분석된다.

Keywords

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Fig. 1. Conceptual relationship between normalized vegetation biomass and groundwater table depth at wetland ecosystem.

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Fig. 2. Loss function with various optimal groundwater table depths.

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Fig. 3. Phase portrait of vegetation with linear loss function in constant groundwater table depth condition.

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Fig. 4. Temporal evolution of wetland vegetation with various initial conditions and system parameters.

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Fig. 5. Fixed points of vegetation dynamics.

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Fig. 6. Temporal evolution of vegetation in wetlands.

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Fig. 7. Bifurcation diagram of vegetation dynamics induced groundwater table depth in wetlands.

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Fig. 8. Attractors of vegetation dynamics induced by ground water

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