Population Growth — Prelims Questions

A population of organisms is growing exponentially with an intrinsic rate of natural increase ($r$) of $0.05,\text{per individual per year}$. If the initial population size ($N_0$) is $1000$ individuals, what will be the approximate population size after $10$ years, assuming continuous growth?

Which of the following factors is density-independent in regulating population growth?

The S-shaped growth curve (logistic growth) is characterized by a phase where the population growth rate is highest. This occurs when the population size ($N$) is approximately:

If a population has a birth rate (b) of $0.08$ per individual per year and a death rate (d) of $0.03$ per individual per year, what is its intrinsic rate of natural increase ($r$)?

Which of the following age pyramid shapes typically indicates a declining population?

A population of deer in a forest has a carrying capacity ($K$) of $500$ individuals. If the current population size ($N$) is $400$ and the intrinsic rate of natural increase ($r$) is $0.2,\text{per year}$, what is the population growth rate ($dN/dt$) according to the logistic growth model?