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Multiple Choice
In a logistic growth curve of a population, which point on the graph represents the carrying capacity ($K$) of the population?
A
The initial point where the population starts growing
B
The lowest point on the graph
C
The plateau where the population size levels off
D
The point of maximum growth rate (inflection point)
Verified step by step guidance
1
Understand the concept of carrying capacity ($K$): Carrying capacity is the maximum population size that an environment can sustain indefinitely, given the availability of resources such as food, habitat, and water.
Examine the logistic growth curve: A logistic growth curve typically has an S-shape (sigmoidal curve). It starts with a slow growth phase, followed by a rapid growth phase, and finally levels off as the population approaches the carrying capacity.
Identify the plateau on the graph: The plateau is the region where the population size stabilizes and stops increasing significantly. This occurs because the population has reached the carrying capacity ($K$), where resource limitations prevent further growth.
Differentiate the plateau from other points: The initial point represents the starting population size, the lowest point is the starting population size (if non-zero), and the inflection point is where the growth rate is at its maximum. None of these represent the carrying capacity.
Conclude that the carrying capacity ($K$) is represented by the plateau where the population size levels off, as this is the point where the population stabilizes due to resource limitations.