Define a system.
Define a system boundary.
A reservoir receives water from rainfall and a river. Water is removed for domestic use, while some is lost by evaporation.
Identify one storage, one input and one output in this system.
Figure 1 shows selected storages and flows for a reservoir supplying a town.

Identify the principal storage in Figure 1 and calculate the daily change in this storage.
Distinguish between downstream discharge and evaporation as system processes.
Explain why the reservoir is an open system.
Distinguish between a transfer and a transformation in a system.
Classify each process as a transfer or a transformation: water flowing from soil into a plant root; evaporation from a leaf.
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Distinguish between an open system and a closed system.
State why a global geochemical cycle is described as approximately closed.
A constructed wetland receives water from a stream and supplies water to nearby farms. Figure 1 represents selected storages and daily flows within the wetland system.

Identify the largest storage and the largest quantified input shown in Figure 1.
Calculate the daily change in the water storage if all the quantified flows remain constant.
Distinguish between a transfer and a transformation, using one named flow from Figure 1 as an example of each.
Construct additions to the systems diagram to show solar radiation entering the wetland, chemical energy passing from producers to consumers, and heat leaving the wetland.
Evaluate the usefulness of the boundary selected for this wetland system.
Figure 2 shows outputs from a simplified Daisyworld model. The preferred temperature for daisy growth is approximately .

Calculate the increase in temperature of the lifeless planet as relative stellar radiation increases from 0.85 to 1.20.
Describe the difference between the temperature responses of the living Daisyworld and the lifeless planet.
Explain how negative feedback involving daisies could produce the pattern shown for the living Daisyworld.
Figure 3 shows the response of an ecosystem biomass storage to a temporary disturbance. Before the disturbance, biomass inputs and outputs were each .

State the biomass immediately after the disturbance and the time at which it first returns to its previous long-term level.
Using the information provided, distinguish between steady-state equilibrium and stable equilibrium.
Explain one negative feedback mechanism that could contribute to the recovery shown.
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Fossil-fuel combustion increases atmospheric greenhouse-gas concentrations, contributing to warming and the melting of land ice.
Explain how this example demonstrates that Earth is an integrated system. Refer to three named Earth spheres.
Figure 1 represents two patterns in the state of an open ecosystem over time.

Identify the type of equilibrium represented in panel A.
Describe two features of stable equilibrium shown in panel B.
A wildfire occurred in the fictional Rava mountain region following an unusually dry winter. Figure 2 summarizes selected changes during the following six months.


Identify the Earth-system sphere containing each of the following: mountain snow and exposed soil.
Explain the change in river turbidity between the period before the wildfire and month 1.
Explain why Earth is considered to approximate a closed system rather than an open system.
Evaluate the usefulness of representing the wildfire as an integrated Earth system.
An enclosed grassland reserve contains a grazing mammal and its principal food plant. At the start of year 4, 40 grazing mammals entered the reserve through a damaged fence.
Annual grazer abundance and vegetation biomass in the enclosed reserve.
| Year | Grazers / individuals | Vegetation biomass / tonnes |
|---|---|---|
| 1 | 78 | 525 |
| 2 | 81 | 515 |
| 3 | 79 | 520 |
| 4 | 120 | 420 |
| 5 | 85 | 330 |
| 6 | 68 | 350 |
| 7 | 70 | 390 |
| 8 | 76 | 450 |
| 9 | 82 | 505 |
| 10 | 80 | 520 |

State the minimum vegetation biomass and the year in which it occurred.
Calculate the percentage decrease in grazer abundance from year 4 to year 6.
Explain how negative feedback contributed to the changes after year 4.
Distinguish between stable equilibrium and steady-state equilibrium with reference to the reserve.
Evaluate the claim that the reserve had fully recovered by year 9.
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Researchers gradually increased and then decreased the phosphorus concentration in experimental shallow lakes. Figure 4 shows the resulting algal biomass.

Identify the approximate phosphorus concentration at which the lake shifts to a high-algal-biomass state as phosphorus is increased.
Compare the algal biomass at a phosphorus concentration of per litre during the increasing- and decreasing-phosphorus treatments.
Explain how the pattern in Figure 4 demonstrates a tipping point and a regime shift.
Figure 5 represents selected annual carbon and energy flows and linked processes among components of the integrated Earth system.

Calculate the percentage of annual anthropogenic carbon emissions that accumulates in the atmosphere.
Explain why Earth approximates a closed system for matter but not for energy.
Analyse how the anthroposphere can cause linked changes in three other Earth-system components shown in Figure 5.
A small pond contains water, producers, consumers and detritus. Solar radiation and rainfall enter the pond. Feeding and death transfer energy and matter between storages. Heat and overflow leave the pond.
Draw a systems diagram for this pond.
Explain how melting sea ice can form a positive feedback loop that amplifies an initial increase in temperature.
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Lake Neru is a shallow lake surrounded by agricultural land. Scientists gradually increased external phosphorus loading in a lake model and then reduced it. Two alternative stable states were observed.


Calculate the percentage increase in chlorophyll-a concentration when phosphorus loading increased from 0.60 to .
Explain why the change at a phosphorus loading of approximately may be described as a tipping point.
Explain one positive feedback loop that maintains the turbid state.
Evaluate the proposal that reducing external phosphorus loading to would restore the lake to its clear-water state.
Figure 6 shows outputs from a model of a polar marine system as regional temperature increases above a reference value.
Modelled polar marine system outputs at increasing regional temperature anomaly.
| Regional temperature anomaly / K | Summer sea-ice area / million km^2 | Mean surface albedo | Absorbed solar energy / W m^-2 |
|---|---|---|---|
| 0 | 8.0 | 0.62 | 130 |
| 1 | 7.0 | 0.58 | 140 |
| 2 | 5.5 | 0.50 | 160 |
| 3 | 3.0 | 0.38 | 190 |
| 4 | 1.0 | 0.25 | 220 |
Calculate the percentage decrease in summer sea-ice area between temperature anomalies of 0 K and 3 K.
Describe the relationships between sea-ice area, surface albedo and absorbed solar energy.
Explain how the relationships in Figure 6 form a positive feedback loop.
Suggest one feature of Figure 6 that may indicate movement towards a tipping point.
Three models were used to predict forest carbon storage following a severe drought. Figure 7(a) compares their predictions with field observations. Figure 7(b) summarizes the processes included in each model.


Determine which model most closely matches the observations and calculate its absolute prediction error in year 10.
Explain how the feedbacks included in Model C account for its pattern after the drought.
Evaluate the use of Model C to predict the response of other forests to drought.
A city collects household organic waste and processes it at a composting facility. Finished compost is supplied to farms and urban gardens.
Outline four features that should be identified when applying a systems approach to the composting facility.
Construct a systems diagram for the composting facility. Include two storages, two inputs, two outputs and at least one internal flow.
Distinguish between a transfer and a transformation using processes from the composting system.
Using named examples, evaluate the usefulness of a systems approach in improving the sustainability of urban organic-waste management.
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Figure 2 shows outputs from a simplified Daisyworld model.

Explain how negative feedback produces the temperature pattern for the living Daisyworld.
A computer model predicts the response of a forest to increasing temperature. It includes tree growth, rainfall and fire frequency but excludes pests, soil-nutrient differences and human land use.
Explain one advantage of using this model rather than manipulating an entire forest.
Explain one limitation of its prediction.
A wetland may be modelled as a local pool, as part of a river catchment, or as one component of the global hydrological system.
Outline two ways in which changing the boundary from the local pool to the river catchment would alter the systems model.
Outline why decomposition within the local pool may be represented as only one aggregated flow in a global model.
Scientists used a modified Daisyworld model to investigate how organisms with different albedos might influence planetary temperature as stellar radiation increases.


Calculate the difference between the temperature increases of the lifeless planet and living Daisyworld from relative stellar radiation 0.85 to 1.15.
Explain how negative feedback regulates the temperature of Daisyworld as stellar radiation increases.
Explain how the Daisyworld results support the regulatory principle of the Gaia hypothesis.
Evaluate the usefulness of Daisyworld as a model for predicting temperature regulation on Earth.
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The fictional city of Tovan relies on a reservoir that supplies the city and irrigated farms. Managers introduced seasonal water pricing and leakage repairs at the start of year 3.
Calculate the daily change in reservoir storage under the representative pre-management dry-season conditions.
Explain why the reservoir was not in steady-state equilibrium under the pre-management conditions shown in the water-budget table.
Analyse how the management measures may have contributed to the change in reservoir storage by year 5.
Explain why a systems approach is more appropriate than considering the reservoir storage in isolation.
Evaluate the conclusion that seasonal pricing and leakage repairs caused the increase in reservoir storage.
A constructed wetland receives phosphorus from surrounding farmland. Chlorophyll-a concentration is used as an indicator of algal abundance. Table 1 shows annual boundary flows and selected system-state indicators. Internal phosphorus released from sediment is recycled within the wetland and is not included as an external input.
Annual external phosphorus flows and wetland indicators.
| Year | External P input / kg | External P output / kg | End-year P storage / kg | Chlorophyll-a concentration / | Dissolved oxygen / |
|---|---|---|---|---|---|
| 1 | 12 | 8 | 24 | 8 | 9 |
| 2 | 14 | 9 | 29 | 10 | 8 |
| 3 | 18 | 10 | 37 | 45 | 4 |
| 4 | 16 | 11 | 42 | 60 | 2 |
| Initial storage | — | — | 20 | — | — |
Calculate the net change in phosphorus storage across years 1 to 3 using the external inputs and outputs.
Identify two changes between years 2 and 3 that provide evidence of a possible tipping point.
Explain how positive feedback could maintain the algal-dominated state in year 4 even though the external phosphorus input decreases.
Suggest one limitation of using the table alone to determine the exact phosphorus tipping point.
Explain how interactions among three named Earth-system spheres demonstrate that Earth is an integrated system.
Explain how the Daisyworld model represents temperature regulation by negative feedback.
Evaluate the Gaia hypothesis as a model for understanding regulation within the Earth system.
Distinguish between stable equilibrium and steady-state equilibrium in an open ecosystem.
Explain how negative feedback may contribute to the recovery of a forest ecosystem after a severe storm reduces its plant biomass.
Using named examples, to what extent do negative feedback loops maintain the stability of ecosystems exposed to human disturbance?
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Figure 3 shows a shallow lake before and after nutrient enrichment crosses a threshold.

Explain how crossing the tipping point can cause a regime shift from the clear-water state to the turbid state.
A simplified computer model investigates summer sea-ice cover in a polar ocean. The albedo of sea ice is 0.62 and the albedo of open ocean is 0.10.


Determine the percentage of incoming radiation absorbed by sea ice and by open ocean.
Explain how the ice–albedo feedback can amplify an initial decrease in sea-ice cover.
Analyse the evidence that the model contains a tipping point.
Evaluate the use of this model to guide decisions about polar-climate policy.
Researchers modelled a proposed reforestation programme at three spatial scales. Each model was designed for a different purpose.

Projected outcomes of the reforestation programme after 20 years, with uncertainty ranges.
| Model scale | Projected outcome | Predicted change | Uncertainty range |
|---|---|---|---|
| Plot | Soil-water storage | Increase | Increase |
| Plot | Local plant-species richness | Increase 6 species | Increase species |
| Catchment | Annual river runoff | Decrease | Decrease |
| Catchment | Sediment export | Decrease | Decrease |
| Global | Atmospheric | Decrease | Decrease |
Identify one storage represented in the plot-scale model and one flow represented in the catchment-scale model.
Explain how changing the spatial scale changes the boundaries and level of detail of the models.
Analyse what the model outputs suggest about the environmental effects of the reforestation programme.
Evaluate which model, or combination of models, would be most useful when deciding whether the reforestation programme should proceed.
Explain the relationship between positive feedback, a tipping point and a regime shift.
Analyse how repeated heat stress could cause a coral-dominated reef to undergo a regime shift to an algae-dominated state.
Using named examples, evaluate the usefulness of system models for predicting and managing environmental tipping points.
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A coastal city is developing models to assess flood risk from storm surges, river discharge and urban surface runoff.
Outline four characteristics of a model used to represent an environmental system.
Analyse how changing the model boundary and spatial scale could affect the coastal city's flood-risk assessment.
Using named examples, evaluate the use of models at different scales to guide management of environmental hazards.
Explain why Earth may be considered approximately closed for matter but open for energy.
Analyse how thawing permafrost can create linked changes across the integrated Earth system.
Using named examples, to what extent does a systems approach improve decisions intended to reduce climate-related environmental change?