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S-shaped curve

Written by the Fiveable Content Team • Last updated September 2025
Written by the Fiveable Content Team • Last updated September 2025

Definition

An S-shaped curve, or sigmoid curve, represents logistic growth where a population's size stabilizes after a period of exponential growth. This pattern occurs when environmental limits, such as resources and space, eventually restrict further growth.

5 Must Know Facts For Your Next Test

  1. The S-shaped curve depicts three phases: lag phase, exponential growth phase, and stationary phase.
  2. During the exponential growth phase, the population grows rapidly due to abundant resources.
  3. In the stationary phase, population growth slows and stabilizes due to limiting factors like food scarcity or space constraints.
  4. The carrying capacity is the maximum population size that an environment can support sustainably, represented by the plateau of the S-shaped curve.
  5. This model contrasts with the J-shaped curve, which represents unchecked exponential growth without environmental limits.

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