Which one is the correct statement for logistic model of population growth?

As population increases the competition goes on increasing.

The correct statement for the logistic model of population growth is: IV. As population increases, the competition goes on increasing.

Explanation:

The logistic model of population growth considers that population growth is limited by factors such as limited resources and carrying capacity. Here's an explanation of each statement:

I. Population growth rate increases as the size of the population approaches the carrying capacity. This statement is incorrect. In the logistic model, as the population size approaches the carrying capacity (the maximum number of individuals the environment can sustain), the population growth rate decreases. The growth rate slows down as resources become limited, leading to a leveling off of the population size.

II. All individuals have the same effect on population growth. This statement is incorrect. In a population, individuals can have different reproductive rates or survival rates, leading to variations in their contribution to population growth. Some individuals may have a higher reproductive output, while others may have lower survival rates, affecting population growth differently.

III. There are unlimited natural resources. This statement is incorrect. The logistic model assumes that natural resources are limited. The carrying capacity represents the maximum population size that can be supported by the available resources in the environment.

IV. As the population increases, the competition goes on increasing. This statement is correct. In the logistic model, as the population size increases and approaches the carrying capacity, competition for limited resources intensifies. As resources become scarce relative to the population size, individuals must compete for those resources, leading to increased competition within the population.

Therefore, the correct statement for the logistic model of population growth is IV. As population increases, the competition goes on increasing.