Population Growth Model Flashcards
Population Growth Model
Mathematical equations that can be used to predict population size at any moment in time
Population Growth Model
What is shows
The number of offspring an individual can produce in a given time period, minus the deaths of the individual or its offspring during the same period
Intrinsic Growth Rate (r)
The maximum potential for growth of a population under the ideal conditions with unlimited resources
When food is abundant organisms have a tremendous ability to
Reproduce
A high number of births and low number of deaths produces a high
Population Growth Rate
When conditions are less than ideal due to limited resources, a populations growth rate will be lower than its intrinsic growth rate
because individuals will produced fewer offspring (or forgo breeding entirely) and the numbers of deaths will increase
Exponential Growth Model
A growth model that estimates a populations future size (Nt) after a period of time (t) based on the intrinsic growth rate (r) and the number of reproducing individuals currently in the population (No)
density independent
When populations are not limited by resources, growth can be very rapid because more births occur with each step in time
rapid because more births occur with each step in time
J-shaped curve
The curve of the exponential growth model when graphed represents the change in a growing population overtime
At first the population is so small because
it cannot increase rapidly because there are few individuals present to reproduce
As the population, there are more reproducing individuals
the growth rate increases
Logistic growth model
A growth model that describes a population whose growth is initially exponential, but slows as the population approaches the carrying capacity of the environment (k)
As population size nears about one half of carrying capacity
Population growth begins to slow
S-shaped curve
The shape of the logistic growth model when graphed. Used to predict the growth of population that are subject to density dependent constraints as the population grows. It doesn’t account for unpredictability
Overshoot
When a population becomes larger than the environment carrying capacity