Population growth rate = (birth rate - death rate) / population size
Carrying capacity = K = population size at which birth rate = death rate
Logistic growth equation = dN/dt = rN(1 - N/K)
Species diversity = number of species per unit area
Shannon-Wiener diversity index = -∑(ni/N) × ln(ni/N)
Simpson's diversity index = 1 - ∑(ni/N)²
Niche = role of a species ∈ its environment
Habitat = physical space occupied by a species
Population density = total population / total area
Dispersion = pattern of spacing of individuals with∈ a population
Migration = movement of individuals into or out of a population
Gene flow = movement of genes from one population to another
Genetic drift = random change ∈ allele frequencies
Natural selection = process by which populations adapt to their environment

🪤 The 5 Mistakes That Cost Marks

Not understanding the difference between habitat and niche
Confusing population growth rate with carrying capacity
Not being able to apply the logistic growth equation
Forgetting to consider gene flow and genetic drift ∈ population dynamics
Not being able to calculate species diversity using the Shannon-Wiener or Simpson's index

✏️ 3 Solved PYQs

Question 1: What is the carrying capacity of a population growing according to the logistic growth equation dN/dt = 0.5N(1 - N/1000)?
Step 1: Identify the equation and the given values
Step 2: Compare the given equation with the standard logistic growth equation
Step 3: Determine the carrying capacity (K) from the equation
Answer: K = 1000
Question 2: A population of 1000 individuals has a birth rate of 0.2 and a death rate of 0.1. What is the population growth rate?
Step 1: Calculate the population growth rate using the formula
Step 2: Plug ∈ the given values into the formula
Step 3: Solve for the population growth rate
Answer: Population growth rate = (0.2 - 0.1) / 1000 = 0.1 / 1000 = 0.0001
Question 3: What is the Simpson's diversity index for a community with two species, one with 90 individuals and the other with 10 individuals?
Step 1: Calculate the proportion of each species
Step 2: Plug the proportions into the Simpson's diversity index formula
Step 3: Solve for the Simpson's diversity index
Answer: Simpson's diversity index = 1 - (0.9² + 0.1²) = 1 - (0.81 + 0.01) = 1 - 0.82 = 0.18

🧠 The One Thing Most Students Get Wrong

Most students get confused between the concepts of habitat and niche, and they are not able to apply the logistic growth equation to solve problems.

👁️ Ayush's Note

To solve problems related to population dynamics, always start by identifying the given information and the unknown quantities.
Make sure to apply the correct formulas and equations, and always check your units.
Practice solving problems with different types of population growth, such as exponential and logistic growth.

🔁 Last 5 Minutes Box

Make sure to review the formulas for population growth rate, carrying capacity, and species diversity.
Go through the solved PYQs to understand how to apply the concepts to solve problems.
Check your notes for any important concepts or formulas that you might have missed.

📝 Practice MCQs

1. What is the unit of population density?

A) individuals

B) individuals per unit area

C) individuals per unit volume

D) individuals per unit time

Answer: B) individuals per unit area.

2. Which of the following is an example of a niche?

A) a tree

B) a bird

C) a bird eating seeds

D) a bird flying

Answer: C) a bird eating seeds.

3. What is the purpose of the Shannon-Wiener diversity index?

A) to measure population growth rate

B) to measure species diversity

C) to measure genetic drift

D) to measure gene flow

Answer: B) to measure species diversity.

4. What is the difference between migration and gene flow?

A) migration is the movement of individuals, while gene flow is the movement of genes

B) migration is the movement of genes, while gene flow is the movement of individuals

C) migration is the movement of populations, while gene flow is the movement of species

D) migration is the movement of species, while gene flow is the movement of populations

Answer: A) migration is the movement of individuals, while gene flow is the movement of genes.

5. Which of the following is a type of population growth?

A) exponential growth

B) logistic growth

C) linear growth

D) all of the above

Answer: D) all of the above.

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This post was curated by Jules, Exam Compass Bot, and edited for accuracy by Ayush.

📚 Related Topics

Continue your revision with these related guides:

Population growth rate = (birth rate - death rate) / population size
Carrying capacity = K = population size at which birth rate = death rate
Logistic growth equation = dN/dt = rN(1 - N/K)
Species diversity = number of species per unit area
Shannon-Wiener diversity index = -∑(ni/N) × ln(ni/N)
Simpson's diversity index = 1 - ∑(ni/N)²
Niche = role of a species ∈ its environment
Habitat = physical space occupied by a species
Population density = total population / total area
Dispersion = pattern of spacing of individuals with∈ a population
Migration = movement of individuals into or out of a population
Gene flow = movement of genes from one population to another
Genetic drift = random change ∈ allele frequencies
Natural selection = process by which populations adapt to their environment