Lecture 4

Question 1

Describe the type of population where density independent exponential growth could occur

Answer 1

When there are few individuals and the resources are plentiful

Question 2

What is the Carrying Capacity?

Answer 2

The maximum viable population size where a population stabilizes in a certain environment

Question 3

What is the logistic growth model?

Answer 3

a model that incorporates the density dependent effects of declining resources on the trajectory of a population

Question 4

What are the two types of density independent models?

Answer 4

The geometric model and the exponential model

Question 5

What model is described by the equation Nt+1 = Nt(lambda)

Answer 5

The geometric growth model

Question 6

What model is described by the equation Nt = N0e^rt

Answer 6

The exponential growth model

Question 7

Which model is described with the equation dN/dt = rN

Answer 7

The exponential growth model

Question 8

What model is described by the equation dN/dt = rN*(1-(N/K))

Answer 8

The logistic growth model

Question 9

What part of the equation for the logistic growth model injects density dependence into the model?

Answer 9

1-(N/K)

Question 10

In the logistic growth model, what happens when the population size nears the carrying capacity?

Answer 10

The density dependent affect (1-(N/K)) goes to 0, meaning that dN/dt = 0 and the population is stable. this means that at the carrying capacity, the population has no growth

Question 11

In the logistic growth model, what happens when the population size is very small?

Answer 11

The density independent effect (1-(N/K)) goes to 1, meaning that dN/dt = rN which is the exponential growth model.
This means that at small populations, density dependent effects have little influence on population size over time, and the population exhibits exponential growth.

Question 12

What happens when the population size exceeds the carrying capacity in the logistic growth model?

Answer 12

When N is larger than K, the density dependent effect become negative, making dN/dt negaive, so the population is shrinking.

Question 13

What is the shape of exponential growth on a population rate of change graph?

Answer 13

A positive straight line

Question 14

what is the shape of logistic growth on a rate of change graph?

Answer 14

A positive parabola

Question 15

What is the shape of exponential growth on a per capita rate of change graph?

Answer 15

a flat line that is parallel to the x axis

Question 16

What is the shape of logistic growth on a per capita rate of change graph?

Answer 16

A straight negative relationship

Question 17

How do you determine if a population is exhibiting density dependent effects?

Answer 17

On a per capita rate of change graph, the relationship will not be straight and parallel to the X axis.

Question 18

What kind of growth would you model with the geometric growth model?

Answer 18

Seasonal/pulsed growth pattern where reproduction happens during discrete time periods

Question 19

What model uses lambda?

Answer 19

The geometric growth model

Question 20

What is r?

Answer 20

The intrinsic rate of growth

Question 21

What behaviour is exhibited by the population when r = 0?

Answer 21

the population is stable

Question 22

What behaviour is exhibited by the population when r > 0?

Answer 22

The population is increasing

Question 23

What behaviour is exhibited by the population when r < 0

Answer 23

The population is decreasing

Question 24

What behaviour is exhibited by a population when lambda = 1?

Answer 24

The population is stable

Question 25

What is overcompensation

Answer 25

when the population drops more rapidly than expected with increases in density

Question 26

What is undercompensation?

Answer 26

When the population drops more slowly than expected compared to exact compensation