Question 1

Which of the following best describes the intrinsic rate of growth ($$r) in $$population ecology?

Accepted Answer

The average number of offspring produced per individual minus the average number of deaths per individual, assuming unlimited resources.

Question 2

Given the exponential growth equation $$\displaystyle \frac{dN}{dt} = rN$$, if a population of 1,000 individuals has an $$r$$ value of 0.25 per year, what is the expected population size after one year?

Accepted Answer

$$N = 1,250$$

Question 3

Why can't exponential growth continue indefinitely in natural populations?

Accepted Answer

Because resources such as food, space, and mates become limited, leading to a decrease in growth rate.

Question 4

Which equation best represents logistic population growth?

Accepted Answer

$$\displaystyle \frac{dN}{dt} = rN \left( \frac{K-N}{K} \right)$$

Question 5

If a population is at carrying capacity ($$N = K$$), what is the value of $$\displaystyle \frac{dN}{dt} in $$the logistic growth model?

Accepted Answer

$$\displaystyle \frac{dN}{dt} = 0$$

Question 6

A population of rabbits grows according to the exponential model with $$r = 0.3$$ per month. If the initial population is 20, what is the population size after 4 months? (Use the table provided in the study materials.)

Accepted Answer

57

Question 7

Which of the following is NOT a characteristic of K-selected species?

Accepted Answer

Reproduce once in their lifetime

Question 8

If $$N is $$much less than $$K in $$the logistic growth equation, what happens to the population growth rate?

Accepted Answer

Growth rate is rapid because resources are abundant.

Question 9

A population of seals is observed to level off at around 10,000 individuals over several decades. What does this suggest about the population?

Accepted Answer

The population has reached its carrying capacity.

Question 10

Which of the following scenarios best illustrates an r-selected species?

Accepted Answer

A species of fish that produces thousands of eggs with little parental care, many of which do not survive to adulthood.

Question 11

Using the logistic growth equation $$\displaystyle \frac{dN}{dt} = rN \left( \frac{K-N}{K} \right)$$, if $$r = 0.1$$, $$K = 1,000$$, and $$N = 500$$, what is the population growth rate?

Accepted Answer

$$25$$

Question 12

Which of the following would most likely cause a decrease in the carrying capacity ($$K) of a $$population?

Accepted Answer

A decrease in available habitat due to deforestation

Question 13

If a population exceeds its carrying capacity, what is the most likely outcome according to the logistic growth model?

Accepted Answer

The population size will decrease until it reaches carrying capacity.

Question 14

Which of the following best explains why age structure diagrams are important in predicting future population growth?

Accepted Answer

They reveal the proportion of individuals in reproductive age, which affects growth rate.

Question 15

A population of birds is observed to have a high birth rate, low parental care, and fluctuating population size. Which life history strategy does this population most likely exhibit?

Accepted Answer

r-selected

Question 16

Which of the following is a real-world example of a factor that could cause a population to shift from exponential to logistic growth?

Accepted Answer

Resource limitation such as food or space becoming scarce as the population grows.

Question 17

If a population of 100 individuals has an intrinsic growth rate $$r = 0.1$$ and the carrying capacity $$K = 1,000$$, what is the growth rate according to the logistic model?

Accepted Answer

$$9.0$$

Question 18

Which of the following statements about carrying capacity ($$K) is $$correct?

Accepted Answer

It can change if environmental conditions change.

Question 19

Which of the following best describes the difference between exponential and logistic growth?

Accepted Answer

Exponential growth assumes unlimited resources, while logistic growth accounts for resource limitation.

Population Ecology: Population Growth and Life History Strategies

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