Question 1

Which of the following equations correctly represents the logistic growth model for population size $$N$$ over time $$t$$?

Accepted Answer

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

Question 2

Given a population with $$N_0 = 2$, r$$_{max} = 2$$, and K = 10$, what is the population size N$ at generation 1 if the population is undergoing logistic growth? Use the discrete logistic growth formula: N$$_{t+1} = N_t + r_{max} N_t \left(1 - \frac{N_t}{K}\right)$$.

Accepted Answer

$$N_1 = 5.6$

Question 3

Which of the following best describes the shape of the logistic growth curve?

Accepted Answer

An S-shaped (sigmoidal) curve

Question 4

Is it possible for a population to temporarily exceed its carrying capacity ($$K$$)? If so, what is this phenomenon called?

Accepted Answer

Yes, it is called overshoot.

Question 5

Life history traits are subject to trade-offs because:

Accepted Answer

Resources are limited, so investing in one trait (like reproduction) often reduces investment in another (like survival).

Question 6

In the kestrel study, what was the observed trade-off when brood size was experimentally increased?

Accepted Answer

Increased brood size led to lower survival rates for both parents and offspring.

Question 7

Is the human population still undergoing exponential growth, and is the intrinsic rate of increase ($$r) $$still positive?

Accepted Answer

Yes, the human population is still growing exponentially and $$r is $$positive, but the rate of growth is slowing.

Question 8

During demographic transition, as countries develop economically, what typically happens to birth and death rates?

Accepted Answer

Birth rates and death rates both decrease over time.

Question 9

What is generally believed to be the main reason for the demographic transition observed in developing countries?

Accepted Answer

Improvements in healthcare, sanitation, and education reduce death rates and eventually lower birth rates.

Question 10

If you observe a population with a broad base in its age structure diagram, what can you infer about its future growth?

Accepted Answer

The population will likely grow rapidly.

Question 11

Which of the following is a major determinant of where terrestrial species are found?

Accepted Answer

Climate and availability of resources such as water and nutrients.

Question 12

Which factor is most important in determining the distribution of aquatic species?

Accepted Answer

Salinity, depth, and availability of light.

Question 13

A population of rabbits is introduced to an island with abundant resources. Initially, the population grows rapidly, but after several generations, growth slows and levels off. Which concept best explains this pattern?

Accepted Answer

Logistic growth due to reaching carrying capacity.

Question 14

If a population's $$r$$ value is negative, what will happen to the population size over time?

Accepted Answer

The population will decrease.

Question 15

Which of the following is an example of a life history trade-off?

Accepted Answer

Producing many small offspring versus a few large offspring.

Question 16

A country is experiencing declining birth rates and low death rates. According to the demographic transition model, what stage is this country likely in?

Accepted Answer

Stage 3: Late transition

Question 17

If a population overshoots its carrying capacity, what is the most likely consequence?

Accepted Answer

The population will experience a decline due to resource depletion.

Question 18

Which of the following best describes the relationship between $$r_{max}$$ and carrying capacity $$K in $$the logistic growth equation?

Accepted Answer

$$r_{max}$$ determines the maximum per capita growth rate, while $$K$$ sets the upper limit for population size.

Question 19

Which scenario best illustrates a real-world example of demographic transition?

Accepted Answer

A country where improved healthcare leads to lower infant mortality and families choose to have fewer children.

Question 20

If a population's age structure shows a narrow base and a wide top, what does this indicate about the population's future?

Accepted Answer

The population is likely to decline in the future.

Population Growth, Life History, and Demography: Study Notes for General Biology

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