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Q.What is 'carrying capacity' of a species in a habitat ? Why is logistic growth model considered more realistic ?

CBSECBSE Class XII Board 2019Subjective· 2mImportance★★★★★
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Carrying capacity is the maximum population size an environment can sustainably support, and the logistic growth model, which incorporates this limit, is considered more realistic because resources are finite in nature.

Imagine a species thriving in a particular habitat. How many individuals of that species can that habitat truly support? This fundamental question leads us to the concept of 'carrying capacity'. Every environment has a finite amount of resources – food, water, shelter, and space. There are also other limiting factors like predators, diseases, and the accumulation of waste products.

Carrying capacity, denoted by 'K', is the maximum population size of a species that a given habitat can sustain indefinitely without degrading the habitat itself. It represents the upper limit to population growth in a particular environment. Once a population reaches its carrying capacity, its growth rate typically slows down and eventually stabilizes, as the birth rate equals the death rate.

Note

Carrying capacity is not a fixed number; it can fluctuate based on environmental changes, such as variations in climate, resource availability, or the introduction of new predators or diseases.

Now, let's consider how populations grow. There are two primary models: exponential growth and logistic growth.

The exponential growth model assumes that resources are unlimited and that every individual has the potential to reproduce at its maximum rate. Under such ideal conditions, a population would grow at an ever-increasing rate, leading to a 'J-shaped' curve when plotted over time. This model is useful for understanding the intrinsic potential of a species to reproduce, but it is rarely observed in nature for extended periods because resources are never truly unlimited.

Important

No population of any species in nature has at its disposal unlimited resources to permit exponential growth indefinitely.

This brings us to the logistic growth model, which is considered far more realistic for most natural populations. This model acknowledges that resources are finite and become limiting as a population grows. As the population density increases, competition for resources intensifies, predation pressure might rise, and the spread of diseases can become more prevalent. These factors collectively increase environmental resistance, slowing down the population's growth rate.

The logistic growth model produces an 'S-shaped' or sigmoid curve when population size is plotted against time. This curve typically shows three distinct phases:

  • Lag phase: An initial period of slow growth, where the population is small and adapting to the new environment. …

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