Lecture 3 Flashcards
What variables go into the basic equation for population numbers next year?
The population size this year, births, deaths, immigration and emigration
What model is shown with the equation Nt+1 = Nt(lambda)
The geometric growth model
What model is shown with the equation Nt = N0(lambda)^t
The geometric growth model
What kind of reproduction is modelled using the geometric growth model?
Pulsed reproduction and death, so discrete breeding seasons
What model is shown with the equation Nt = N0e^(rt)?
The exponential growth model
What kind of population growth is modelled with the exponential growth model?
Continuous reproduction, so reproduction happens constantly throughout the timestep
What is the definition of lambda?
The finite rate of growth
What model is lambda found in?
The geometric growth model
What is the definition of r
The intrinsic rate of growth
What model is r found in?
The exponential growth model
What is shown by the equation t = (ln2)/r
Doubling time
What are the X and Y axes of a time series graph?
t on X axis
N on Y axis
What are the X and Y axes of a population rate of change graph?
dN/dt on the Y axis
N on the X axis
What are the X and Y axes of a per capita rate of change plot?
dN/dt/N on the Y axis
N on the X axis
What model is shown with the equation Nt+1 = Nt(lambda)
The geometric model
What model is shown with the equation Nt = N0e^rt
The exponential model
What value of lambda keeps a population stable?
1
What pattern will be seen in the population if lambda >1?
It will be increasing
What pattern will be seen in the population if lambda < 1
The population size will be decreasing
What value of r keeps the population stable?
0
What happens to the population if r > 0?
The population size will be increasing
What happens to the population if r < 0 ?
The population size will be decreasing
What model is shown with the equation dN/dt = rN?
The exponential model
If you wanted to know the tripling time of a population, what equation would you use?
t = (ln3)/r
