lecture 22 Flashcards
what term do we use when resources are unlimited
rmax
what is the formula for the exponential model
change in pop over change in time equals rmax times N
when the population changes what stays constant
rmax
more realistic population models limits growth by adding what
carrying capacity
carrying capacity
maximum population size that the environment can support , population stops growing at this point
what is the logistic growth model
exponential model plus carrying capacity term
what is the logistic growth model equation
dN/dt=rmax*N[(k-n)/k] its the exponential growth model but adding k-n over k
when N=0; then (k-N)/k is
1
when N=K; then (k-N)/k is
0, this is when r reaches capacity
in exponential growth the per capita growth rate
doesnt change even if pop gets super large
in logistic growth the per capita growth rate
gets smaller as population gets closer to its max size
what are the assumptions of the logistic model
- no immigration or emigration 2. all individuals contribute equally 3. the environment thus K is constant
what controls population size
biotic factors (parasites, disease, predation, etc) and abiotic factors that dont change based on the pop size and can change carrying capacity size
positive density dependence
rare; when population growth is facilitated by the increased population density
negative density dependence
common; when population growth is curtailed by crowding predators and competition