QUESTION IMAGE
Question
compare linear, exponential, and logistic growth.
linear growth
exponential growth
logistic growth
growth rate stays roughly constant over time
growth rate initially increases over time but then decreases and eventually reaches zero
growth rate continues increasing over time
occurs when resources are essentially unlimited and the number of reproductive individuals increases
occurs when the number of reproductive individuals doesnt change
occurs when resources are limited
Brief Explanations
- Linear growth has a constant growth rate, as it adds a fixed amount per time period, and this happens when the number of reproductive individuals (or the growth driver) stays the same.
- Exponential growth has an increasing growth rate because the number of growing/reproducing individuals increases, and this requires unlimited resources to sustain.
- Logistic growth starts with increasing growth but slows and stops as resources become limited, reaching a carrying capacity where growth rate hits zero.
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| Description | Linear growth | Exponential growth | Logistic growth |
|---|---|---|---|
| Growth rate initially increases over time but then decreases and eventually reaches zero | ❌ | ❌ | ✅ |
| Growth rate continues increasing over time | ❌ | ✅ | ❌ |
| Occurs when resources are essentially unlimited and the number of reproductive individuals increases | ❌ | ✅ | ❌ |
| Occurs when the number of reproductive individuals doesn't change | ✅ | ❌ | ❌ |
| Occurs when resources are limited | ❌ | ❌ | ✅ |