Logistic Method

The logistic method, also known as the decreased rate of growth method, is a mathematical approach used to describe the growth of a population or system over time. It is often used in the field of population biology to model the growth of populations. The logistic method takes into account the carrying capacity of the environment, which is the maximum number of individuals that can be sustained in a given habitat.

Explanation of the Answer

The correct answer to the question is option 'D' - the decreased rate of growth method. This answer is correct because the logistic method is based on the concept of a decreasing growth rate as the population approaches its carrying capacity.

Arithmetical Increase Method

The arithmetical increase method, also known as linear growth, assumes that the population increases by a constant amount over a fixed period of time. This method does not take into account any limiting factors or carrying capacity.

Geometrical Increase Method

The geometrical increase method, also known as exponential growth, assumes that the population increases by a constant factor over a fixed period of time. This method does not take into account any limiting factors or carrying capacity.

Incremental Increase Method

The incremental increase method assumes that the population increases by a fixed percentage over a fixed period of time. This method does not take into account any limiting factors or carrying capacity.

Decreased Rate of Growth Method (Logistic Method)

The decreased rate of growth method, or the logistic method, takes into account the carrying capacity of the environment. It assumes that the growth rate of a population decreases as it approaches its carrying capacity. This is because as the population gets closer to its maximum sustainable size, resources become limited, competition for resources increases, and factors such as predation and disease become more significant. As a result, the growth rate slows down and eventually reaches zero when the population reaches the carrying capacity.

The logistic method is often represented mathematically using the logistic equation, which is a differential equation that describes the rate of change of a population over time. The logistic equation includes parameters such as the initial population size, the intrinsic growth rate, and the carrying capacity. By solving the logistic equation, one can determine the population size at any given time and observe how it approaches its carrying capacity.

In conclusion, the logistic method, also known as the decreased rate of growth method, is a mathematical approach that takes into account the carrying capacity of the environment. It describes the growth of a population over time, assuming a decreasing growth rate as the population approaches its carrying capacity.