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The sigmoid population growth curve

Organisms and their environment · Populations · note 2 of 2

The sigmoid population growth curveSpec 19.4.5, 19.4.6, 19.4.7

When a small population enters an environment with limited resources, its growth follows an S-shaped curve called the sigmoid curve. It has four phases.

The four phases of the sigmoid growth curve
PhaseWhat the graph shows
Lag phaseSlow growth at the start, with few individuals
Exponential (log) phaseRapid growth, with the curve getting steeper
Stationary phaseNo overall growth; the curve levels off and the population stays roughly constant
Death phaseThe population falls
Sigmoid population growth curve of population size / number of individuals against time / days, divided by dashed lines into the lag phase, exponential (log) phase, stationary phase and death phase. (opens full size in a new tab)
The sigmoid curve: lag, exponential (log), stationary and death phases.
Supplement (what this means)Supplement: only for the Extended papers (2 and 4). Core students can skip it. What the labels mean

Explaining the phases

Supplement (what this means)Supplement: only for the Extended papers (2 and 4). Core students can skip it. What the labels mean
Why each phase happens
PhaseExplanation
Lag phaseThere are few individuals to reproduce, and the organisms are adjusting to the environment. The birth rate is low, so growth is slow.
Exponential (log) phaseFood and space are plentiful, and there is little competition, predation or disease. The birth rate is much higher than the death rate, and more individuals reproduce, so growth speeds up.
Stationary phaseLimiting factors such as food supply, space and the build-up of waste restrict growth. Birth rate equals death rate, so the population stays constant.
Death phaseResources run out or waste and disease build up. The death rate is higher than the birth rate, so the population falls.
Exam tip:

When describing a graph, name the phase, quote figures from the axes with units, and say whether the population is rising, constant or falling.

Supplement (what this means)Supplement: only for the Extended papers (2 and 4). Core students can skip it. What the labels mean
Common mistake:

In the stationary phase, organisms are still being born and are still dying. The population is constant because the birth rate equals the death rate. When explaining any phase, link it to a limiting factor.

Quick check

  1. Define a population.

    Show answer

    A group of organisms of one species, living in the same area, at the same time.

  2. Define a community.

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    All of the populations of different species in an ecosystem.

  3. State the four factors that affect the rate of population growth.

    Show answer

    Food supply, competition, predation and disease.

  4. Name the four phases of the sigmoid growth curve in order.

    Show answer

    Lag, exponential (log), stationary and death.

  5. Supplement Why does a population level off in the stationary phase?

    Show answer

    Limiting factors mean the birth rate equals the death rate.

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