Topic: Population attributes: growth, birth and death rate, age distribution· Ecology and Environment

The equation of Verhulst-Pearl logistic growth isdN/dt = rN≤ft[K-N/K].From this equation, K indicates:

1. Population density

2. Intrinsic rate of natural increase

3. Biotic potential

4. Carrying capacity

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Answer: 4. Carrying capacity

Key idea: in the Verhulst-Pearl logistic equation, \(K\) is the carrying capacity.

In \(\frac{dN}{dt}=rN\left[\frac{K-N}{K}\right]\), \(N\) is population density, \(r\) is the intrinsic rate of natural increase, and \(K\) is the maximum population size the environment can support. When \(N\to K\), the bracket tends to zero and growth stops.

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The equation of Verhulst-Pearl logistic growth isdN/dt = rN≤ft[K-N/K].From this equation, K indicates:

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