Chapter 12 - Population Growth and Regulation Flashcards
What is demography?
The study of populations.
What is the growth rate of a population?
The number of new individuals that are produced in a given amount of time minus the number of individuals that die.
What is the intrinsic growth rate (r) of a population?
The highest possible per capita growth rate for a population.
What is the exponential growth model?
A model of population growth in which the population increases continuously at an exponential rate.
Pictured is the equation for the exponential growth model. Define what each variable represents.
Nt = Size of future population at time t
N0 = Current population size
e = base of natural log = 2.72
r = the population’s intrinsic growth rate
t = time over which the population grows
When is a population’s growth rate less than the intrinsic growth rate? Give examples.
When conditions are less than ideal. For example, low resource availability or increased disease.
What is the shape of exponential growth when graphed?
J-shaped curve
Pictured is the equation to determine the change in population per unit time. What does this tell us about the rate of change in population at any particular point in time?
The rate of change in population size at any particular point in time depends on the population’s intrinsic growth rate and the population’s size at that point in time.
What does a constant intrinsic growth rate result in for a population?
Exponential growth.
What type of species can the exponential growth model be applied to? What types of species does this model not apply to?
Can be applied to species that reproduce throughout the year. Not particularly helpful for species with discrete breeding seasons.
What is the geometric growth model?
A model of population growth that compares population sizes at regular time intervals.
What does lambda in the geometric growth model represent?
The ratio of a population’s size in 1 year (or some other time interval) to its size in the preceding year (or some other time interval).
What can be said about a population if its lambda value is greater than 1? Less than 1? Can it ever be negative?
If greater than 1, the population size has increased due to more births than deaths.
If less than 1, the population has decreased because there have been more deaths than births.
Since there cannot be a negative number of individuals, lambda is always positive.
This is the equation for the geographic growth model. Define each variable.
Nt = population size at t intervals
N0 = population size at t = 0
lambda = ratio
t = number of intervals/time
How are geometric and exponential growth related?
Knowing the relationship between geometric and exponential growth, what would happen if we graphed a population’s growth using both models?
Identical graphs would be produced.
What are the values of lambda and r when a population is
a) decreasing
b) constant
c) increasing
a) lambda < 1; r<0
b) lambda = 1; r = 0
c) lambda >1; r>0
What is the doubling time of a population?
The time required for a population to double in size.
Can exponential growth be sustained indefinitely?
No.