Which of the following is Gause 's competitive Exclusion principal ?

Options

A. Two closely related species competing for the same resources can co - exist indefinitely
B. Two closely related species competing for the same resources can co - exist indefinitely and the competitively superior one will be eliminated eventually.
C. Two different species competing for the same resource cannot co - exist indefinitely.
D. Two closely related species competing for the same resources can co - exist indefinitely and the competitively inferior one will be eliminated eventually.

Answer

To solve the question regarding Gause's Competitive Exclusion Principle, we will analyze each option provided and determine which one correctly reflects the principle.

### Step-by-Step Solution:

1. **Understanding Gause's Competitive Exclusion Principle**:
- This principle states that two species competing for the same limited resource cannot coexist indefinitely. One species will outcompete the other, leading to the extinction of the less competitive species.

2. **Analyzing the Options**:
- **Option 1**: "Two closely related species competing for the same resources can co-exist indefinitely."
- This statement is incorrect because it contradicts the competitive exclusion principle, which states that one species will eventually outcompete the other.

- **Option 2**: "Two closely related species competing for the same resources can co-exist indefinitely and then the competitive superior one will be eliminated eventually."
- This statement is also incorrect. It suggests that both species can coexist indefinitely, which is not true according to Gause's principle.

- **Option 3**: "Two different species competing for the same resources cannot co-exist indefinitely."
- This statement is misleading. While it is true that competition can lead to exclusion, it does not accurately reflect the principle, which specifically addresses closely related species.

- **Option 4**: "Two closely related species competing for the same resources can co-exist indefinitely and the competitive inferior one be eliminated eventually."
- This statement is partially correct but misleading because it implies that they can coexist indefinitely before one is eliminated. According to Gause's principle, they cannot coexist indefinitely; one will eventually be eliminated.

3. **Conclusion**:
- The correct interpretation of Gause's Competitive Exclusion Principle is that closely related species competing for the same resources cannot coexist indefinitely. Therefore, none of the options provided accurately reflect the principle in its entirety. However, Option 4 is the closest to the principle but still contains inaccuracies regarding coexistence.

### Final Answer:
None of the options correctly state Gause's Competitive Exclusion Principle. However, Option 4 is the most relevant but still misleading.