2.2 Population Growth Flashcards
What does the variable N stand for?
population size
What does the variable t stand for?
time
What does the dN/dt stand for?
population growth rate
What does r stand for?
maximum per capita growth rate
What does the variable N-sub-zero stand for?
initial population size
What does the variable K stand for?
carrying capacity
What is carrying capacity?
the maximum population size that an environment can support without degrading it
What are the four main factors that affect population growth?
birth, death, immigration, and emigration
What is an equation for positive growth? Use the first letter of each of the four main factors as the variable in your equation.
B + I > D + E
Describe an exponential growth model with an x-axis of time and a y-axis of population size.
An exponential growth model features a seemingly infinite line that keeps increasing. In the beginning, there is a lag phase where the growth starts slowly, but then it rapidly increases, creating a steeper slope.
What is an example of a population that would resemble the exponential growth model?
A new population with an idyllic environment or a parasitic population.
Describe a logistic growth model with an x-axis of time and a y-axis of population size.
The graph might start off looking like an example of an exponential growth model, but then it plateaus. This is when the population reaches its carrying capacity, and the population will hover below and above this level.
Describe a logistic growth model with an x-axis of population size and a y-axis of population growth rate.
The graph will look like a curve. Starting at 0, the curve will rise to its highest point and then fall back down to be level with the starting point.
How does the exponential and logistic growth model change when r is changed?
When r is increased, the growth rate will increase for both graphs. This is because r is the maximum per-capita growth rate. So if each individual can reproduce more, then the population will naturally increase at a faster rate.
How does the exponential and logistic growth model change when N (in this case use the starting population size) is changed?
When N is increased, the exponential and logistic growth model will also grow at a faster rate. If the population starts with more individuals it can reproduce faster.