IB ESS SL & HL 1.2 Systems Paper 1 & 2 ~13 min read

Equilibrium and Feedback Loops

A forest changes constantly and yet stays recognisably the same forest for centuries. That is equilibrium, and it is held in place by feedback. Get the two types of feedback straight here, because almost every later topic — climate, populations, eutrophication — is an application of them.

📘 What you need to know

What equilibrium means

An equilibrium is a state of balance occurring between the separate components of a system. Open systems such as ecosystems usually exist in a stable equilibrium, meaning they generally stay in the same state over time and can return to that state after a disturbance. This balance is maintained by stabilising negative feedback loops.

Three kinds of equilibrium Each graph shows one system property plotted against time STEADY-STATE small changes, no long-term shift most natural systems STATIC no inputs or outputs at all a chair or a desk, not nature UNSTABLE a small nudge shifts it for good a new equilibrium is reached Steady-state and static are both types of stable equilibrium The dot on the third graph marks where the small disturbance happened
Look at the middle graph: a flat line means no inputs or outputs at all, which is why no living system can ever be in static equilibrium.

Steady-state equilibrium

The main type of stable equilibrium is steady-state equilibrium. The system shows no major change over a long time period, even though small oscillating changes happen over shorter periods. Those fluctuations stay within closely defined limits, and the system always returns to its average state.

Most open systems in nature are in steady-state equilibrium. A forest has constant inputs and outputs of energy and matter that vary over time, so populations of species rise and fall in the short term — but the forest as a whole stays stable in the long term.

Static equilibrium

In static equilibrium there are no inputs or outputs of energy or matter, so the system shows no change over time. No natural system is in static equilibrium, because all natural systems have inputs and outputs. Inanimate objects such as a chair or a desk are the usual examples.

Unstable equilibrium

A system can also be in unstable equilibrium, where even a small disturbance causes it to shift suddenly to a new system state or average state — a new equilibrium.

Feedback loops

Most systems involve feedback loops. These are the mechanisms that make a system react to disturbances, and they are what allow systems to self-regulate. Changes to processes in a system alter its outputs, which in turn affect its inputs.

What happens after a disturbance Same starting shock, two completely different outcomes NEGATIVE FEEDBACK average state returns to the average the change is counteracted STABILISING predator-prey cycles, cloud formation POSITIVE FEEDBACK average state runs further away the change is amplified DESTABILISING melting ice caps, thawing permafrost Negative does not mean bad, and positive does not mean good They describe the direction of the response, not whether it is desirable
The red dot marks the same disturbance on both graphs. Everything after it is the feedback loop doing its work.

Negative feedback

Negative feedback is any mechanism in a system that counteracts a change away from equilibrium. The output of a process inhibits or reverses that same process, bringing the system back to its average state. Negative feedback is therefore stabilising.

Positive feedback

Positive feedback is any mechanism that leads to additional and increased change away from equilibrium. The output of a process feeds back into the system in a way that moves it further from its average state. Positive feedback is destabilising: it amplifies deviation and drives systems towards a tipping point, where the system state suddenly shifts to a new equilibrium.

Positive feedback can amplify a change in either direction — up or down:

DirectionThe loop
Population declinePopulation falls → reproductive potential drops → population falls further. The decline accelerates
Population growthPopulation grows → reproductive potential rises → population grows further. The expansion accelerates
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Negative cancels, positive adds

Think of the maths, not the mood. Negative feedback subtracts from the change and cancels it out. Positive feedback adds to the change and makes it bigger. A runaway population crash is positive feedback, even though nothing about it is good.

The Daisyworld model

James Lovelock and Andrew Watson created Daisyworld as a computer simulation in the 1980s. It models a theoretical planet with only two organisms: black daisies and white daisies, which affect the planet’s albedo — how much solar radiation it reflects away.

Daisyworld: life regulating its own planet A closed loop of negative feedback holding temperature steady black daisies thrive they absorb more sunlight albedo falls, planet warms more heat is trapped white daisies thrive they reflect more sunlight albedo rises, planet cools more heat is reflected away a stable temperature A dead planet has no daisies, so nothing regulates its temperature Its climate drifts to an extreme and can no longer support life
Follow the arrows: each state creates the conditions that favour the opposite state. That is what a negative feedback loop looks like drawn as a circle.

As solar luminosity increases, black daisies thrive because they absorb more sunlight. This decreases albedo, trapping more heat and raising global temperature — which makes the planet more habitable for white daisies. As white daisies spread, albedo increases and temperature falls. The two populations compete and eventually reach a stable steady-state equilibrium that keeps the surface temperature suitable for both.

On a dead planet with no daisies there are no such mechanisms. Without organisms adjusting albedo, the climate becomes progressively more extreme — too hot or too cold depending on starting conditions — producing a planet that cannot sustain life.

Worked examples

WE 1

Types of equilibrium

Distinguish between steady-state and static equilibrium. (3 marks)

Steady-state The system shows no major change over a long period, but there are small oscillating changes over shorter periods, always returning to the average state. Static There are no inputs or outputs of energy or matter, so the system shows no change at all over time. The key contrast Most natural open systems, such as a forest, are in steady-state equilibrium. No natural system is in static equilibrium, because all have inputs and outputs. Steady-state fluctuates around an average; static does not move at all saying “no natural system is static” is a marking point on its own
WE 2

Feedback in climate

Explain how melting ice caps act as a positive feedback loop. (4 marks)

Step 1: the initial change Rising global temperatures cause polar ice to melt. Step 2: the consequence Ice has a high albedo, so as it is lost, less solar radiation is reflected and more is absorbed by the darker ocean and land beneath. Step 3: the loop closes Greater absorption raises temperatures further, which melts more ice. Step 4: why it is positive feedback The output of the process amplifies the original change rather than counteracting it, so the system moves further from equilibrium and towards a tipping point. Warming causes melting, and melting causes more warming close the loop explicitly — a feedback answer must return to where it started
WE 3

Daisyworld

Outline how the Daisyworld model demonstrates negative feedback. (4 marks)

Step 1: the set-up Daisyworld is a simulation of a planet with only black and white daisies, which differ in how much solar radiation they reflect, and so affect the planet’s albedo. Step 2: warming phase As solar luminosity rises, black daisies thrive and absorb more sunlight. Albedo falls, more heat is trapped, and temperature rises. Step 3: cooling phase Higher temperatures favour white daisies, which reflect more sunlight. Albedo rises and temperature falls again. Step 4: the outcome Each change triggers the response that counteracts it, so the populations settle into a steady-state equilibrium that stabilises surface temperature. Each daisy type creates the conditions that favour the other, holding temperature steady contrast with a dead planet, whose climate drifts to an extreme, for the final mark

💡 Exam tips

⚠ Common mistakes

Up next: Resilience and Tipping Points. Positive feedback pushes systems towards a threshold. The next page is about where that threshold sits, what decides how far a system can be pushed, and what happens once it crosses.

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