The question refers to a concept in ecology involving competition between two species. To find the correct answer, let's examine the options and understand the relevant ecological principles:
- Allen's Law: This rule is related to the adaptation of animals to different climates, stating that the body shapes and proportions of endothermic animals vary according to environmental temperature. It does not relate to species competition or niches.
- Gause's Law: Also known as the Competitive Exclusion Principle, it states that two species competing for the exact resources cannot stably coexist. One will either adapt, migrate, or face extinction. When species compete for the same critical resources within an environment, one species will outcompete the other.
- Competitive Exclusion Principle: This is another name for Gause's Law, reinforcing the idea that two species cannot coexist in the same niche if they compete for all the same resources.
- Weismann's Theory: This refers to a theory in evolutionary biology, relating to the separation of germ cells from somatic cells. It does not relate to ecology or species competition.
Given the explanation of these options, the correct answer is Gause's Law, which is explicitly tied to the concept of species' inability to coexist in the same ecological niche for a prolonged duration due to competition for resources.
Conclusion: The principle that states two different species cannot live for a long duration in the same niche or habitat due to competition is known as Gause's Law, or the Competitive Exclusion Principle.