Question

Which of the following is not correct with reference to exponential growth model?

• A. Resources are limited
• B. Population grows in a geometric fashion
• C. A stationary phase is never reached
• D. Population grows beyond carrying capacity

Hint:

Exponential Growth = J-shaped curve, UNLIMITED resources.
Logistic Growth = S-shaped curve, LIMITED resources (incorporates carrying capacity, K).

Answer 1

The Correct Option is A

Step 1: Understanding the Concept: In ecology, population growth is modeled primarily in two ways: exponential (geometric) growth and logistic growth.
Step 2: Key Formula or Approach: Recall the fundamental environmental assumption required for a population to experience pure exponential growth.
Step 3: Detailed Explanation: The exponential growth model ($dN/dt = rN$) mathematically assumes that the environment provides absolutely unlimited resources (food, space, etc.).
Because resources are unlimited, the population grows in a geometric or exponential fashion (statement 2 is correct).
In this theoretical model, a stationary phase is never reached because there is no environmental resistance to slow the growth (statement 3 is correct).
Since the concept of a carrying capacity (K) only applies when resources are limited, a population modeled exponentially will mathematically grow to infinity, effectively growing beyond any real-world carrying capacity limits (statement 4 is conceptually correct for this model).
Therefore, the statement "Resources are limited" fundamentally contradicts the exponential growth model; it is the defining characteristic of the logistic growth model instead.
Step 4: Final Answer: The incorrect statement is (1).