Population Ecology

Step 1: Understanding the Concept:
The Logistic Growth Equation models population growth in an environment with limited resources. It starts exponentially but slows down as the population size (N) approaches the carrying capacity (K).

Step 2: Key Formula or Approach:
The equation starts with the exponential growth model, . To account for environmental resistance, this is multiplied by a term that approaches 0 as N approaches K. This term is .

Step 3: Detailed Explanation:
The full equation is: Let's analyze the term : Option (B) correctly represents this relationship.

Step 4: Final Answer:
The correct Verhulst-Pearl Logistic growth equation is .

Step 1: Understanding the Concept:
The question describes a foundational theory in demography and economics regarding the relationship between population growth and resource availability.

Step 3: Detailed Explanation:
This theory was proposed by the English economist Thomas Robert Malthus in his 1798 work, "An Essay on the Principle of Population". The core idea, known as the Malthusian Theory of Population, is:
Malthus argued that this disparity would inevitably lead to a point of crisis (a "Malthusian catastrophe") where population outstrips resources, leading to famine, disease, and war.

Step 4: Final Answer:
The theory was given by T. R. Malthus.