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IGCSE · Cambridge (CIE) · 0610

Interpret population-growth data

Interpret a population graph by reading its axes, units, values and trend; the curve alone does not establish the cause of change.

Population dynamics pathway · 19.4

Core and Extended; Biology 0610, 2026–2028. Use the stated specimen features and evidence. Diagrams are schematic. Written practice is self-checked

Before you begin

  • Know population, community and ecosystem terms and read the axis labels on a graph.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

What does a steeper upward population graph generally indicate over the same time scale?

What you will learn

  • Read population size against time
  • Compare growth rates and state limits of the evidence
Read the four phases of a population-growth curve
Schematic population growth with lag, exponential, stationary and death phasesPopulation size is plotted against time. The curve first rises slowly in the lag phase, then rises steeply in the exponential or log phase, levels off in the stationary phase as additions and losses balance approximately, and declines in the death phase. The curve is schematic; causes and timing depend on the population and conditions.LagExponential(log)StationaryDeathTimePopulation sizeSchematic phases; the curve does not identify causes by itself.

Read both axes before interpreting

Population-growth graphs usually show population size on the vertical axis and time on the horizontal axis. Read the units, scale and sampling interval first. A higher point means a larger recorded population; a steeper upward segment means a faster increase over that interval.

To compare growth rates, compare the change in population over equal time intervals or calculate change per time when values and units are supplied. A raw difference over unequal intervals is not a fair rate comparison. The graph may show estimates rather than a complete count of every organism.

Interpret the pattern within the evidence

Identify lag, exponential, stationary or declining intervals using the shape and values in graphs and diagrams of population growth. A graph can show when numbers changed, but without additional evidence it does not prove whether food, competition, predation or disease caused the change. Sampling method, area and date should remain comparable.

Distinguish population size from individual body size and rate from total change. State the units and interval when quoting a value, and avoid extending a short sample into a claim about the whole ecosystem.

Pause and explain

A population graph declines after disease is reported. What can the graph alone establish?

Put the idea to work

Worked example

A population rises from 120 to 240 organisms in 4 weeks, then from 240 to 360 in the next 2 weeks. Compare the average increases per week.

Show the worked solution
  1. First interval: (240−120) ÷ 4 = 30 organisms per week.
  2. Second interval: (360−240) ÷ 2 = 60 organisms per week.

Answer The average increase is 30 organisms per week in the first interval and 60 per week in the second, so the second interval has the faster average increase.

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From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

A graph records 80, 140 and 260 organisms at weeks 0, 2 and 6. Find each interval’s average increase per week and compare.

Give me a hint

Divide each population change by the length of its interval.

Compare my reasoning
  1. Weeks 0–2: (140−80) ÷ 2 = 30 per week.
  2. Weeks 2–6: (260−140) ÷ 4 = 30 per week.

The average increase is 30 organisms per week in both intervals, so their average rates are equal despite different total changes.

Look for these in your work

  • Intervals used
  • Rate units stated
2 · Independent

A graph has population size (thousands) on the y-axis and months on the x-axis. A point is 3.2 at month 5. State its meaning.

Give me a hint

Convert the scale and retain the time.

Compare my reasoning
  1. 3.2 thousand means 3,200 organisms.
  2. The value is at month 5.

The plotted population is 3,200 organisms at month 5, according to the graph.

Look for these in your work

  • Axis scale interpreted
  • Time and unit retained
3 · Transfer

A population falls while a disease is present. Give one conclusion supported by the graph and one claim needing more evidence.

Give me a hint

Separate trend from cause.

Compare my reasoning
  1. The population count declined during the plotted interval.
  2. Causation needs comparison or other evidence.

The graph supports that recorded population size declined. It does not alone prove that disease caused the decline or was the only factor.

Look for these in your work

  • Trend stated
  • Causal limit stated

Common mistakes

  • Comparing raw changes across unequal time intervals
  • Ignoring axis units
  • Claiming a graph proves the cause of change
Recall without your notes

What can you explain now?

What does a steeper upward population graph generally indicate over the same time scale?

Compare with the explanation

A faster increase in population size

The slope represents change per time.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

How do you calculate an average population-growth rate from a graph, and what can the graph not prove by itself?

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Biology

Course scope and assessment

780 sequenced lessons provide 2340 guided, independent and application problems in characteristics, classification, cells, organisation, specimen size, membrane transport, biological molecules, enzymes, plant and human nutrition, plant transport, circulatory systems, the heart, blood vessels, blood, disease transmission, body defences, immunity, gas exchange in humans, respiration energy uses and investigations, aerobic respiration, anaerobic respiration and recovery, excretion in humans, coordination and response, sense organs, hormones, homeostasis, tropic responses, drugs, asexual reproduction, sexual reproduction, sexual reproduction in plants, sexual reproduction in humans, sex hormones in humans, sexually transmitted infections, chromosomes, genes and proteins, mitosis, meiosis, monohybrid inheritance, variation, adaptive features, selection, energy flow, food chains and webs, nutrient cycles, population, community, ecosystem, population-growth phases, food supply, habitat destruction, pollution, conservation, biotechnology and genetic modification. 61 of 61 syllabus sections have linked teaching and staged practice. The earlier inheritance overview remains introductory, and the monohybrid pathway develops the relevant Core and Supplement requirements. This is not full programme completion or guaranteed exam readiness. Written practice is self-checked.

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