Pop Growth Models UNIT 8 (topics. 8.3 & 8.4)

Population Growth Models (Topics 8.3 & 8.4)

UNIT 8 AP Biology

Explain how the density of a population affects & is determined by resource availability in the environment.

​Topic 8.4

Describe factors that influence growth dynamics of populations.
Two equations: Population Growth & Exponential Growth

Topic 8.3

Objectives:

is the number of individuals in a given area divided by the size of the area.

​Population Density

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If 300 blue jays are found in a 20 hectare plot, what is the density in blue jays/hectare in that plot? Round to the nearest whole number.

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In a state park, researchers find 2,200 maple trees, 518 elm trees, and 25 oak trees. The park measures 3.1 km × 4.5 km. Calculate the density of trees per square kilometer.

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Population Growth

Change in population size over time

• growth or decline of a population is determined by the number of births versus the number of deaths in the population.

Math Response

There are 252 deer in the population. There is no net immigration or emigration. If 47 deer die and 32 deer are born in one month, what is the population size at the end of the month?

Type answer here

Correct Answer: 237

Deg^°

Rad

Math Response

In a 100-acre forest, the birth rate of foxes is 60 foxes/year and the death rate of foxes is 15 foxes/year. Calculate the rate at which this population of foxes is changing over time.

Type answer here

Correct Answer: 45

Deg^°

Rad

per capita growth rate (r)

​r= allows us to assess how rapidly a population is expected to increase or decrease

represents the rate of change in the number of individuals per member of the population.
r= (dN/dt) ÷ N

or

r= (B-D)÷ N

Fill in the Blank

In a population of 42 mice, 8 die on a particular day and 5 are born on that day. Calculate the per capita growth rate for the day.

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​Exponential Growth Model

• In the exponential growth model, we can predict the change in population size per unit time based on the current population size and the maximum per capita growth rate.

• We can also use the exponential growth model to determine the rate of change in the population anywhere along the curve of population growth over time.

Population growth without constraints

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​Exponential Growth

Fill in the Blank

A population of mice is growing exponentially. The growth rate of the population, r_max, is 1.5 and the current population size, N, is 2,300 individuals. How many mice are being added to the population?

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logistic growth model describes population growth when there is a density-dependent carrying capacity

Limits to Growth

Logistic Growth

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A population of 50 penguins has an r_max of 0.12 and a carrying capacity of 400. Calculate the population’s growth rate. What is happening to this population?

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FORM

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