Class 12 · Organisms and Populations

Exponential Population Growth Formula — NEET Biology

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📖 NCERT Source

Resource (food and space) availability is obviously essential for the unimpeded growth of a population. Ideally, when resources in the habitat are unlimited, each species has the ability to realise fully its innate potential to grow in number, as Darwin observed while developing his theory of natural selection. Then the population grows in an exponential or geometric fashion. If in a population of size N, the birth rates (not total number but per capita births) are represented as b and death rates (again, per capita death rates) as d, then the increase or decrease in N during a unit time period t (dN/dt) will be

NCERT Biology · Class 12 · Chapter 11 · Paragraph 22
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QuestionPractice Question

Which of the following statements concerning population growth and its influencing factors are NOT correct? S1: Exponential growth occurs when resources in the habitat are unlimited, allowing a species to fully realize its innate potential to grow. S2: The intrinsic rate of natural increase (r) is a parameter exclusive to the Verhulst-Pearl Logistic Growth equation, reflecting its density-dependent nature. S3: Governmental interventions to control human population growth exemplify societal attempts to manage factors similar to carrying capacity in natural ecosystems. S4: In a newly colonized habitat, immigration is generally less significant for population growth compared to birth rates. S5: The logistic growth model is regarded as more realistic because it incorporates the concept of finite and eventually limiting resources.

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Correct answer: B S2 and S4

The core concept tested here involves the conditions and parameters for different population growth models and factors influencing population density. S1 is correct. The NCERT states, "Ideally, when resources in the habitat are unlimited, each species has the ability to realise fully its innate potential to grow in number... Then the population grows in an exponential or geometric fashion." S2 is NOT correct. The intrinsic rate of natural increase (r) is used in both exponential (dN/dt = rN) and logistic (dN/dt = rN((K-N)/K)) growth equations. It is not exclusive to logistic growth, though its effect is modulated by K in logistic growth. The NCERT refers to 'r' in the exponential growth section as 'the intrinsic rate of natural increase'. S3 is correct. Governments introducing restraints to limit human population growth aligns with the concept of managing resources and limiting factors, similar to the carrying capacity (K) in natural ecosystems. The NCERT states, "The governments of many countries have also realised this fact and introduced various restraints with a view to limit human population growth." S4 is NOT correct. The NCERT states, "For instance, if a new habitat is just being colonised, immigration may contribute more significantly to population growth than birth rates." Thus, the statement that immigration is generally less significant is false in this specific context. S5 is correct. The NCERT states, "Since resources for growth for most animal populations are finite and become limiting sooner or later, the logistic growth model is considered a more realistic one." Therefore, statements S2 and S4 are NOT correct. The correct option is B as it correctly identifies the incorrect statements.

❓ Frequently Asked Questions
What does NCERT say about Resource food and space?
Resource (food and space) availability is obviously essential for the unimpeded growth of a population. Ideally, when resources in the habitat are unlimited, each species has the ability to realise fully its innate potential to grow in number, as Darwin observed while developing his theory of natural selection.
Has this concept appeared in NEET?
Practice this NCERT concept with questions on MedicNEET.
Which chapter is this from?
Organisms and Populations, Class 12 NCERT Biology.

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