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Basins of Attraction in the Environmental Dynamics Model
In the environmental dynamics model with two stable equilibria (a high-ice 'virtuous' state at G and a low-ice 'vicious' state at B), the system's trajectory depends on its starting point relative to the unstable tipping point. Any point between the two stable equilibria will not remain static; from year to year, the sea ice cover will either increase towards the high-ice equilibrium at G or decrease towards the low-ice equilibrium at B, effectively being pulled into one of the two basins of attraction.
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Figure 8.27: Environmental Dynamics, Multiple Equilibria, and the S-Shaped EDC
Negative Feedback at the Low-Ice Equilibrium
Negative Feedback at the High-Ice Equilibrium (Virtuous Circle)
Figure 8.28: Climate Equilibria Feedback Loops
Basins of Attraction in the Environmental Dynamics Model
An environmental system's state from one year to the next is modeled by an S-shaped curve. In the middle region of this curve, the slope is very steep, meaning a small change in the system's state in one year causes a much larger change in the following year. What does this steepness imply about the system's dynamics within this specific region?
System Resilience in a High-Quality State
Explaining Persistent Ecosystem Degradation
A system's environmental quality from one year to the next is modeled by an S-shaped curve plotted against a 45-degree line (where quality is unchanged). Match each region of the S-shaped curve with its corresponding dynamic characteristic.
According to the model represented by the S-shaped Environmental Dynamics Curve, the stable, low-quality environmental state, often described as a 'vicious circle', is maintained by a positive feedback process.
Ecosystem Response to a Major Shock
Analyzing the Shape of the Environmental Dynamics Curve
An environmental system, modeled by an S-shaped curve that plots its state in one period against the next, is currently in a stable, high-quality equilibrium (e.g., extensive sea ice). Graphically, this corresponds to a point where the S-shaped curve is nearly flat and intersects a 45-degree line. Why is this equilibrium considered resilient to small, temporary negative shocks?
Coral Reef Ecosystem Shift
An ecosystem's quality is observed over several years. Initially, it is in a healthy, resilient state. Following a major negative shock, it rapidly degrades and settles into a persistently poor state. Arrange the following descriptions of the system's dynamics into the correct chronological order, starting from the initial healthy state.
Learn After
Consider an environmental system, such as Arctic sea ice, which has two stable long-run states. A 'low-ice' state exists at 2 million km² of ice cover, and a 'high-ice' state exists at 10 million km² of ice cover. Between these two stable states is an unstable tipping point at 5 million km² of ice cover. If a temporary shock causes the sea ice cover to be 6 million km² in a given year, what will be the long-run trajectory of the ice cover, assuming no further shocks?
Glacial System Dynamics
Ecosystem State Dynamics
In an environmental system characterized by two stable long-run states (e.g., high-ice and low-ice) and a single unstable tipping point located between them, any initial state of the system that is less than the high-ice stable state will inevitably be drawn towards the low-ice stable state over time.