Assertion : A population growing in a habitat with limited resources shows initially a lag phase, followed by phase of accelerated and deceleration and finally as asymptote, when the population density reaches the carrying capacity.
Reason : In Verhulst-Pearl Logistic growth, plot of N (population density) at time (t) results in a sigmoid curve.

Explanation

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that a population growing in a habitat with limited resources experiences different phases of growth: a lag phase, followed by accelerated growth, then deceleration, and finally reaching an asymptote at the carrying capacity.
- This is a description of the logistic growth model, which is realistic for populations in environments where resources are limited.

2. **Identifying the Phases of Growth**:
- **Lag Phase**: Initially, the population grows slowly as individuals acclimatize to the environment.
- **Accelerated Growth Phase**: As resources become more available, the population experiences rapid growth.
- **Deceleration Phase**: Growth slows down as resources become limited and competition increases.
- **Asymptote**: The population stabilizes at the carrying capacity (K), where the environment can support no more individuals.

3. **Understanding the Reason**:
- The reason states that in the Verhulst-Pearl Logistic growth model, the plot of population density (N) over time (t) results in a sigmoid (S-shaped) curve.
- This curve visually represents the different phases of growth described in the assertion.

4. **Evaluating the Relationship**:
- Both the assertion and the reason are correct statements about population growth.
- However, the reason does not explain the assertion; it merely describes the graphical representation of the logistic growth model.

5. **Conclusion**:
- Since both statements are true, but the reason does not provide an explanation for the assertion, the correct answer is that both statements are true, but the reason is not an explanation for the assertion.

### Final Answer:
**Option B**: Both statements are true, but the reason statement is not explaining the assertion statement.

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