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🌿 Carrying Capacity and Logistic Growth

Learn to read carrying capacity and logistic growth curves, distinguish exponential growth from resource-limited growth, and explain plateaus, changing ceilings, and overshoot.

lessons

~10 min

to learn

🔬 Science

subject

Adults

level

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What you’ll learn

Build the modelDefine K and contrast exponential with logistic growth.K is condition-dependent, and resource limits bend a J-shaped model toward an S-shape.
Read the curveInterpret slope, inflection, and plateau.Growth can slow while population size rises, and a plateau indicates near-zero net change.
Track a changing ceilingExplain changing K and overshoot.Environmental conditions can move K, and populations can pass or fluctuate around it.
Use the model carefullyUse the equation and state model limits.The limiting term is explicit, but a curve alone cannot identify every cause.

Questions this course answers

Why does a logistic curve flatten as N approaches K?

Environmental resistance rises as density rises.

Where is growth fastest in the simplest logistic model?

The product rN(1 - N/K) is largest at N = K/2.

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