Any species growing exponentially under unlimited resource conditions can reach enormous population densities in a short time.
Which of the following statements correctly describe exponential growth? S1: It is observed when resources such as food and space are available in limited quantities. S2: The intrinsic rate of natural increase (r) is a crucial parameter in this growth model. S3: A plot of population density (N) against time (t) typically yields a sigmoid curve. S4: The equation dN/dt = rN describes this growth, where 'r' represents the per capita birth rate minus per capita death rate. S5: Species undergoing this type of growth can reach very large population sizes in a short duration under ideal conditions.
Correct answer: B — S2, S4, S5
The core concept of this question is exponential growth. S1: Incorrect. Exponential growth occurs when resources (food and space) are unlimited, allowing for unimpeded growth. S2: Correct. The intrinsic rate of natural increase (r) is a very important parameter for assessing impacts on population growth in the exponential model. S3: Incorrect. Exponential growth results in a J-shaped curve when population density (N) is plotted against time (t). A sigmoid curve is characteristic of logistic growth. S4: Correct. The equation dN/dt = rN represents exponential growth, where r = (b-d), the difference between per capita birth rates (b) and death rates (d). S5: Correct. Any species growing exponentially under unlimited resource conditions can reach enormous population densities in a short time, as exemplified by Darwin's observations on elephants or the Paramecium anecdote. Therefore, statements S2, S4, and S5 are correct.
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