A population growth becomes asymptote when population density

Options

A. Crosses carrying capacity
B. is in lag phase
C. is in log phase
D. Reaches carrying capacity

Answer

To answer the question, "A population growth becomes asymptote when population density," we need to understand the concept of population growth and carrying capacity.

### Step-by-Step Solution:

1. **Understanding Population Growth**: Population growth refers to the increase in the number of individuals in a population. It can be influenced by factors such as birth rates, death rates, immigration, and emigration.

2. **Logistic Growth Model**: In many populations, growth does not continue indefinitely. Instead, it follows a logistic growth model, which is characterized by an initial exponential growth phase followed by a slowdown as resources become limited.

3. **Carrying Capacity (K)**: The carrying capacity is the maximum population size that an environment can sustain indefinitely without being degraded. It is denoted by 'K'.

4. **Phases of Growth**:
- **Exponential Phase**: Initially, when resources are abundant, the population grows exponentially. This is the phase where the growth rate is high.
- **Deceleration Phase**: As the population approaches the carrying capacity, the growth rate slows down due to limited resources.
- **Asymptotic Phase**: Eventually, the population stabilizes at the carrying capacity. This is where the growth becomes asymptotic, meaning it levels off and approaches but does not exceed the carrying capacity.

5. **Conclusion**: Therefore, a population growth becomes asymptote when the population density reaches the carrying capacity.

### Final Answer:
A population growth becomes asymptote when population density reaches the carrying capacity.

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