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Population Growth Curves and Carrying Capacity

A population grows slowly, then fast, then levels off as limiting factors bite. Carrying capacity is read off the curve, and density-dependent factors are told from density-independent ones by how they scale.

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What a learner can do afterwards

  • Labels the phases of a growth curve and explains what limits each one.
  • Distinguishes a density-dependent factor from a density-independent one with an example of each.
  • Estimates carrying capacity from a plotted curve.

1 · Read

A new colony starts slowly in the lag phase while individuals settle. Numbers then explode in the exponential phase, doubling while resources seem endless. Growth brakes as food runs short, and the curve flattens at carrying capacity, labelled K.

Density-dependent brakes bite harder with crowding: competition, predation, and disease. Density-independent hits strike regardless of numbers: frost, flood, or fire. Real curves wobble because populations feel both at once.

Try it together

Bacteria doubling hourly in rich broth trace a J-curve with no limit. Yeast in a flask bend into an S-curve as they near K. When you meet a new graph, first ask which shape it is, then find what limits each part.

Good to know

Read K where the curve levels out in the stationary phase, where births equal deaths. Remember the ceiling moves with seasons, fires, and rivals, so real tops wobble instead of sitting flat.

Populations climb fast, brakes tighten with crowding or strike from outside, and numbers settle where the habitat can feed them.

2 · Watch

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Population Growth Curves and Carrying Capacity · Science, ages 17 to 18 · LightMySky