Chapter 9: Population Growth Flashcards
Population dynamics?
- how and why populations change in size through time
In a statistical study of a population what characteristics do we examine?
- size, age, and sex structure (demography)
What can we do with the data we get in a statistical study examining population characteristics such as its demography?
- predictions for future changes in populations or size..
- 1 Population Growth:
- what is a central process in ecology?
- population growth
- 1 Population Growth:
- Numbers will increase due to ____ and decrease due to___.
- births
- mortality
- 1 Population Growth:
- Can develop a simple model of population growth when population is?
- closed or immigration and emigration are roughly equal or not happening at all
- 1 Population Growth:
- Explain a simple graph with x= time (t) and y= population size (N(t))
* Growth of population with simple life history when resources are not limiting.
- Change in the size of a hypothetical population of hydra through time. The change in population size (delta N), for a given interval, (delta t), differs as a function of time (t), as indicated by the slop of the line.
- *slope of line = change in population size
- organism has everything they need so it starts increasing so birth rat is higher than death rate…it will keep increasing since you have more adults you can reproduce more than there are deaths.
- 1 Population Growth:
- What is the equation for continuous population growth?
dN/dt = rN N= population size d= proportion dying r= instantaneous per capita rate of population growth
- can tell you how fast a population is growing..aka decreasing or increasing
- 1 Population Growth:
- Exponential population growth equation?
N(t) = N(0)e^rt N(0)= initial population size at time 0 -t= time -N = population size - r = instantaneous per capita rate of population growth
- 1 Population Growth:
- what does exponential population growth equation allow us to predict?
- population growth
- 1 Population Growth:
- with exponential growth what does it mean when r= 0?
- r>0?
- r<0?
- it means that the population size is not changing
- you can have a population that is increasing..birth rate is higher than death rate
- population that is decreasing..death rate is higher than birth rate
9.1 Population Growth:
-Exponential Growth
L> Characteristic of populations with ?
- favourable enivonrmental conditions and low population density
- rate of population increase or decrease continuously accelerating
- 1 Population Growth:
- when is exponential growth usually seen?
- when colonization is occurring …. lots of space and resources to grow..
ex: mosquito population at the beginning of the summer.. a lot of populations start with exponential growth but nothing can continue with it forever….
9.1 Population Growth:
- Exponential growth
L> will it continue to grow forever?
- no
- the population will reach a point where it exceeds the resources available and there is a decline in the population size..
- also if the population is very large the spread of diseases occurs more easily
- after a period of exponential growth you usually get periods of drastic decline
- 2 Life tables
- what are life tables?
- a tool for describing age specific mortality (or survival) patterns
- this is how ecologists estimate per capita growth rate, r
- 2 Life tables
- when are life tables used?
- when birth and death rates vary with age, can’t just use the proportions of individuals in the population giving birth and dying
- 2 Life tables
- what were life tables first developed for?
- human populations
- used by life insurance companies
- 2 Life tables
- begin with a ?
cohort
- 2 Life tables
- what is a cohort?
- group of individuals born in the same period of time
9.2 Life tables
- cohort example?
L>use nx and lx
- gray squirrels in 10 year study
- nx= number of individuals from cohort alive at age x
- lx= probability of survival at birth to any given age.
- 2 Life tables
- how do you get lx?
nx/n0
aka say n0= 530 and n1= 159
lx= 159/530 = 0.3….0.3 chance they will live another year
- 2 Life tables
- what is dx?
- number of individuals that have died during an interval
ex: n0-n1= 530-159= 371 died
- 2 Life tables
- mortality and death rates are?
the inverse of each other
- 2 Life tables
- what is qx?
- age specific mortality rate-> proportion that died during interval x
- 2 Life tables
- how do you calculate age specific mortality rate(qx)?
dx/nx
ex: d0/n0= 371/530
- 2 Life tables
- does an organisms age specific mortality rate stay constant?
- no
- at a certain age your mortality rate is very low… until you get to another extreme where it is really high
- *this only takes into account death rates not birth rates