Lecture 3

Question 1

What variables go into the basic equation for population numbers next year?

Answer 1

The population size this year, births, deaths, immigration and emigration

Question 2

What model is shown with the equation Nt+1 = Nt(lambda)

Answer 2

The geometric growth model

Question 3

What model is shown with the equation Nt = N0(lambda)^t

Answer 3

The geometric growth model

Question 4

What kind of reproduction is modelled using the geometric growth model?

Answer 4

Pulsed reproduction and death, so discrete breeding seasons

Question 5

What model is shown with the equation Nt = N0e^(rt)?

Answer 5

The exponential growth model

Question 6

What kind of population growth is modelled with the exponential growth model?

Answer 6

Continuous reproduction, so reproduction happens constantly throughout the timestep

Question 7

What is the definition of lambda?

Answer 7

The finite rate of growth

Question 8

What model is lambda found in?

Answer 8

The geometric growth model

Question 9

What is the definition of r

Answer 9

The intrinsic rate of growth

Question 10

What model is r found in?

Answer 10

The exponential growth model

Question 11

What is shown by the equation t = (ln2)/r

Answer 11

Doubling time

Question 12

What are the X and Y axes of a time series graph?

Answer 12

t on X axis

N on Y axis

Question 13

What are the X and Y axes of a population rate of change graph?

Answer 13

dN/dt on the Y axis

N on the X axis

Question 14

What are the X and Y axes of a per capita rate of change plot?

Answer 14

dN/dt/N on the Y axis

N on the X axis

Question 15

What model is shown with the equation Nt+1 = Nt(lambda)

Answer 15

The geometric model

Question 16

What model is shown with the equation Nt = N0e^rt

Answer 16

The exponential model

Question 17

What value of lambda keeps a population stable?

Answer 17

1

Question 18

What pattern will be seen in the population if lambda >1?

Answer 18

It will be increasing

Question 19

What pattern will be seen in the population if lambda < 1

Answer 19

The population size will be decreasing

Question 20

What value of r keeps the population stable?

Answer 20

0

Question 21

What happens to the population if r > 0?

Answer 21

The population size will be increasing

Question 22

What happens to the population if r < 0 ?

Answer 22

The population size will be decreasing

Question 23

What model is shown with the equation dN/dt = rN?

Answer 23

The exponential model

Question 24

If you wanted to know the tripling time of a population, what equation would you use?

Answer 24

t = (ln3)/r

Question 25

What kinds of populations does the geometric growth model apply to?

Answer 25

Populations that reproduce in discrete time steps (pulsed)

Question 26

What kind of populations does the exponential growth model apply to?

Answer 26

Populations that reproduce continuously

Question 27

What is the growth rate of the exponential growth model called?

Answer 27

The intrinsic rate of increase (r)

Question 28

What is the growth rate of the geometric growth model called?

Answer 28

The finite rate of increase (lambda)

Question 29

What is the difference between B and b

Answer 29

B is the birth rate and b is the per capita birth rate

Question 30

What is the difference between D and d

Answer 30

D is the death rate and d is the per capita death rate

Question 31

What is R?

Answer 31

The geometric rate of increase/ the discrete growth factor

Question 32

What is the equation for R

Answer 32

per capita birth rate minus per capita death rate

Question 33

what is the equation for lambda?

Answer 33

1+R

Question 34

How do you calcululate the geometric mean?

Answer 34

Multiply all your numbers together and take the root using the number of terms that were multiplied

Question 35

What model is the doubling time equation derived from?

Answer 35

the exponential growth model