Question:
Identify the correct statements related to logistic growth of population?
i) Logistic growth of population shows initially a lag phase, followed by phases of acceleration and deceleration.
ii) Finally it shows an asymptote/stability.
iii) Logistic growth in population occurs when resources are unlimited.
iv) A plot of N in relation to time (t) results in sigmoid curve.
Identify the correct statements related to logistic growth of population?
i) Logistic growth of population shows initially a lag phase, followed by phases of acceleration and deceleration.
ii) Finally it shows an asymptote/stability.
iii) Logistic growth in population occurs when resources are unlimited.
iv) A plot of N in relation to time (t) results in sigmoid curve.
i) Logistic growth of population shows initially a lag phase, followed by phases of acceleration and deceleration.
ii) Finally it shows an asymptote/stability.
iii) Logistic growth in population occurs when resources are unlimited.
iv) A plot of N in relation to time (t) results in sigmoid curve.
Show Hint
Logistic growth = S-shaped curve + carrying capacity (K) + limited resources.
Updated On: Jun 19, 2026
- Except (iv) all are correct
- Except (ii) all are correct
- Only (i) and (ii) are correct
- Except (iii) all are correct
Show Solution
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The Correct Option is D
Solution and Explanation
Step 1: Understand logistic growth.
Logistic growth describes population growth in a limited environment where resources are finite and environmental resistance increases with population size.
Step 2: Evaluate statement (i).
Logistic growth shows a lag phase initially, followed by acceleration (exponential-like growth) and then deceleration as resources become limiting. Hence, statement (i) is correct.
Step 3: Evaluate statement (ii).
In logistic growth, population eventually reaches carrying capacity (K), where growth stabilizes and forms an asymptote. Hence, statement (ii) is correct.
Step 4: Evaluate statement (iii).
Logistic growth does NOT occur under unlimited resources. Unlimited resources lead to exponential growth, not logistic growth. Hence, statement (iii) is incorrect.
Step 5: Evaluate statement (iv).
A plot of population size (N) against time (t) in logistic growth forms a sigmoid (S-shaped) curve. Hence, statement (iv) is correct.
Step 6: Final conclusion.
Since only statement (iii) is incorrect, the correct option is "Except (iii) all are correct."
Logistic growth describes population growth in a limited environment where resources are finite and environmental resistance increases with population size.
Step 2: Evaluate statement (i).
Logistic growth shows a lag phase initially, followed by acceleration (exponential-like growth) and then deceleration as resources become limiting. Hence, statement (i) is correct.
Step 3: Evaluate statement (ii).
In logistic growth, population eventually reaches carrying capacity (K), where growth stabilizes and forms an asymptote. Hence, statement (ii) is correct.
Step 4: Evaluate statement (iii).
Logistic growth does NOT occur under unlimited resources. Unlimited resources lead to exponential growth, not logistic growth. Hence, statement (iii) is incorrect.
Step 5: Evaluate statement (iv).
A plot of population size (N) against time (t) in logistic growth forms a sigmoid (S-shaped) curve. Hence, statement (iv) is correct.
Step 6: Final conclusion.
Since only statement (iii) is incorrect, the correct option is "Except (iii) all are correct."
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