IB ESS SL 1.2 Systems Paper 1 & 2 Core idea ~14 min read

Equilibrium and Feedback Loops

A forest looks the same year after year, even though leaves fall, animals die and rain pours through it constantly. Nothing is holding it still by magic. Loops inside the system keep pulling it back towards its average — and other loops can shove it further away.

📚 What you need to know

What equilibrium means

Definition An equilibrium is a state of balance between the different parts of a system.

Open systems such as ecosystems usually sit in a stable equilibrium. They generally stay in the same state over time, and if something knocks them, they come back. That balance is held in place by stabilising negative feedback loops.

Steady-state and static

Two kinds of stable equilibrium STATIC system state time no inputs or outputs STEADY-STATE average state system state time small wobbles around the average Both are stable. Only the steady state has flows running through it. Nearly every natural system in ESS is in steady-state equilibrium.
Zoom in on the green line and it looks chaotic. Zoom out and it is flat. That is the whole idea of a steady state.
Steady-state equilibriumStatic equilibrium
Inputs and outputsYes, constantlyNone at all
Short-term changeSmall oscillations within closely defined limitsNone
Long-term changeNo major change; always returns to its average stateNo change
Found inMost open systems in natureNon-living objects only
ExampleA forest, where species rise and fall but the forest stays a forestA chair, a desk, a rock on a shelf
The mistake I see most often is students saying an ecosystem is in static equilibrium because “it looks the same”. It is not. A forest is swallowing sunlight and rain and pumping out heat and oxygen every second. Nothing about it is static — it is steady.

Stable and unstable equilibrium

Now push the system and see what happens. That tells you whether the equilibrium is stable or unstable.

Stable and unstable equilibrium STABLE EQUILIBRIUM push it and it rolls back UNSTABLE EQUILIBRIUM push it and it keeps going A stable system comes back. An unstable one moves somewhere new. The ball is the system. The dip or bump is the equilibrium it sits in.
Nothing about the ball changes between the two pictures. What changes is the shape it is sitting on — and that is the system’s own structure.

In an unstable equilibrium, even a small disturbance can make the system suddenly shift to a new system state or a new average. Once it has moved, it settles at a different equilibrium and stays there.

Feedback loops

Feedback is what makes a system react to a disturbance. It is what lets a system self-regulate without anyone controlling it.

The basic loop input → process → output → feedback → back into the input

A change in a process changes the outputs. Those outputs then change the inputs, which changes the process again. Round and round. What matters is which direction the loop pushes.

Negative feedback

Definition Negative feedback is any mechanism that counteracts a change away from equilibrium, bringing the system back to its average state.

Negative feedback is stabilising. The output of a process inhibits or reverses that same process. “Negative” here has nothing to do with being bad — it means the loop pushes in the opposite direction to the change.

🧩 Predator and prey, step by step

  1. The zebra population increases.
  2. More prey is available, so the lion population increases.
  3. More lions means more predation, so the zebra population decreases.
  4. Less prey is available, so the lion population decreases.
  5. Fewer lions means less predation, so the zebras recover — and you are back at step 1.

Neither population runs away. Each rise causes the fall that follows it, so both wobble around a long-term average. That is a steady state being held in place by negative feedback.

A second example: cloud cover

Daisyworld in one line. Lovelock and Watson’s computer model put black and white daisies on an imaginary planet. Black daisies absorb heat and warm the planet, which suits white daisies; white daisies reflect heat and cool it, which suits black daisies. The two populations settle into a steady state that holds the temperature stable. It is a model of negative feedback, and you will meet it again in the notes on models.

Positive feedback

Definition Positive feedback is any mechanism that leads to additional and increased change away from equilibrium.

Positive feedback is destabilising. The output of a process feeds back in a way that moves the system further from its average, faster and faster, until it reaches a tipping point and lands in a new equilibrium.

The ice and albedo positive feedback loop each step makes the next step bigger global temperature rises more sea ice melts less white ice to reflect light darker water absorbs more of the sun’s heat POSITIVE FEEDBACK the change feeds itself Nothing in this loop pulls the system back towards where it started. That is what destabilising means: the change causes more of the same change.
Read it round twice. Each lap leaves the planet warmer than the lap before, which is exactly why this loop worries climate scientists.

More positive feedback loops worth learning

That last pair is worth noticing: positive feedback does not always mean “increase”. It means more of whatever change already started, up or down.

Negative feedbackPositive feedback
What it does to changeCounteracts itAmplifies it
Effect on the systemStabilisingDestabilising
Where it ends upBack at the average stateFurther away, and possibly past a tipping point
ExamplePredator and prey cycles; cloud cover and albedoIce melting and albedo; permafrost thawing
🧠

Easy way to remember it

Negative says no to the change and pulls it back. Positive says yes to the change and gives it a shove. Nothing to do with good or bad — a positive feedback loop is usually very bad news.

Worked examples

WE 1

Distinguish steady-state from static equilibrium

Distinguish between a steady-state equilibrium and a static equilibrium, giving an example of each. (4 marks)

Point 1: steady-state There are continuous inputs and outputs, and the system fluctuates slightly but always returns to its average state over the long term. Point 2: an example A forest — populations rise and fall year to year, but the forest as a whole stays stable. Point 3: static There are no inputs or outputs of energy or matter, so the system shows no change at all over time. Point 4: an example A chair or a desk. No natural system is in static equilibrium. Steady = flows but no net change. Static = no flows at all. say clearly that no natural system is static — it is often the deciding mark
WE 2

Explain a negative feedback loop

Explain how negative feedback keeps predator and prey populations relatively stable. (4 marks)

Step 1 The prey population increases, so there is more food available for predators. Step 2 The predator population then increases because more prey can be caught. Step 3 Higher predation causes the prey population to decrease again. Step 4 With less prey, the predator population falls, and prey numbers recover. The output of each step reverses the change that caused it, so both populations stay near their average finish the loop — an answer that stops after two steps has not shown feedback at all
WE 3

Identify the type of feedback

Melting sea ice exposes darker ocean water, which absorbs more solar radiation. Identify the type of feedback shown and explain your answer. (3 marks)

Point 1: the identification This is positive feedback. Point 2: the reason Melting reduces the albedo, so more solar radiation is absorbed, temperatures rise further and more ice melts. Point 3: the consequence The loop amplifies the original change, moving the system further from equilibrium and towards a tipping point. Change causes more of the same change = positive feedback use the word “albedo” — examiners look for it in every ice question

💡 Exam tips

⚠ Common mistakes

Up next: Resilience and Tipping Points — what decides how big a push a system can survive, and what happens when it cannot.

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