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Question

A logistic growth curve depicting a population that is limited by a definite carrying capacity is shaped like the letter

A
S
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B
L
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C
M
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D
J
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Solution

The correct option is A S
Logistic population growth curve is a graph that represents the Verhulst-Pearl Logistic Growth. This graph is formed when population density (N) is plotted against time t.


There are three phases between lag phase and stationary phase as follows:
  • Positive acceleration phase: Limited growth in population as the resources are available
  • Exponential growth phase: Suddenly and very rapid growth of population
  • Negative acceleration phase: Decrease in the growth rate of the population due to competition and environmental resistance
  • Stationary phase: As population density increases, competition among species increases, resources become a limiting factor resulting in growth slowing down. The population reaches the carrying capacity (K) of the environment.

The following equation represents the logistic growth curve: dN/dt = rN{(K-N)/K}
Where N = Population density at time t

t = Time
r = Intrinsic rate of natural increase
K = Carrying capacity (maximum possible number of organisms in an environment, beyond which no further growth can take place)

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