Q: A population of rabbits in a meadow grows according to the exponential growth model. If the initial population is 100 and the per capita growth rate $$r = 0.2$$, what will the population be after 5 years? Use the formula $$N_t = N_0$ e$$^{rt}$$.

$$N_5 = 100$$ $$e^{0.2 \times 5} = 100$$ $$e^{1}$$ \approx 271.8$$

Question 1

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

Accepted Answer

Exponential growth occurs when resources are unlimited, resulting in a J-shaped curve, while logistic growth occurs when resources become limited, resulting in an S-shaped (sigmoidal) curve.

Question 2

A population of rabbits in a meadow grows according to the exponential growth model. If the initial population is 100 and the per capita growth rate $$r = 0.2$$, what will the population be after 5 years? Use the formula $$N_t = N_0$ e$$^{rt}$$.

Accepted Answer

$$N_5 = 100$$ $$e^{0.2 	imes 5} = 100$$ $$e^{1}$$ \approx 271.8$$

Question 3

Which of the following is an example of a density-dependent factor that can limit population growth?

Accepted Answer

Competition for food resources

Question 4

Given the logistic growth equation $$\frac{dN}{dt} = rN \left(1 - \frac{N}{K}\right)$$, what happens to the population growth rate as $$N$$ approaches $$K$$?

Accepted Answer

The growth rate approaches zero.

Question 5

A country has an age structure diagram with a broad base and a narrow top. What does this indicate about its population?

Accepted Answer

The population is likely to grow rapidly in the future.

Question 6

Which of the following best describes the concept of carrying capacity ($$K) in $$population ecology?

Accepted Answer

The maximum population size that an environment can sustain indefinitely.

Question 7

If a population's death rate exceeds its birth rate and there is no immigration, what will happen to the population size over time?

Accepted Answer

The population size will decrease.

Question 8

Which scenario best illustrates the effect of emigration on a population?

Accepted Answer

A group of wolves leaves Yellowstone National Park, reducing the park's wolf population.

Question 9

Which of the following is the best example of a population with a large ecological footprint?

Accepted Answer

A city with high per capita energy consumption and waste production.

Question 10

A population of fish in a lake is observed to grow rapidly at first, then slow down and stabilize. Which model best describes this pattern?

Accepted Answer

Logistic growth model

Question 11

If a population of 500 individuals has 50 births, 30 deaths, 10 immigrants, and 20 emigrants in one year, what is the population size at the end of the year?

Accepted Answer

510

Question 12

Which of the following would most likely cause a population to exceed its carrying capacity temporarily?

Accepted Answer

A sudden increase in food supply due to an unusually productive season.

Question 13

Which of the following is NOT a factor that directly affects population size?

Accepted Answer

Mutation rate

Question 14

A population graph shows a plateau after a period of rapid growth. What does the plateau most likely represent?

Accepted Answer

The population has reached carrying capacity.

Question 15

Which of the following best describes the global human population growth pattern over the past 200 years?

Accepted Answer

It has shown a J-shaped (exponential) curve, with rapid increases especially in the last century.

Question 16

Which of the following would you expect to see in a country with a shrinking population?

Accepted Answer

An age structure diagram with a narrow base and wide top.

Question 17

If a population is growing according to the logistic model, which of the following equations correctly describes its growth rate?

Accepted Answer

$$\frac{dN}{dt} = rN \left(1 - \frac{N}{K}\right)$$

Question 18

Which of the following scenarios best illustrates the concept of immigration in population ecology?

Accepted Answer

A group of birds moves into a new forest, increasing the local population.

Question 19

A scientist observes that a population's ecological footprint is increasing. Which of the following is the most likely explanation?

Accepted Answer

The population is consuming more resources per individual.

Question 20

Which of the following is the best example of how age structure can affect future resource requirements in a population?

Accepted Answer

A population with a large proportion of young individuals will require more schools and jobs in the future.

Population Ecology: Growth Patterns, Limiting Factors, and Human Impact

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