ECO 9.2 Flashcards
Growth from
birth/immigration
death from
death/immigration
carrying capacity
K-largest size an environment can support
exponiental model formula
dN/dt=rN
logistic model formula
dN/dt=rN(K-N)/K
N
Pop. size
t
time
dN/dt
pop growth rate
r
max. per capita goth rate
N0
intial pop. size
max sustain yield
1/2 log curve to K
exponential model
higher r=higher population size
population with unlimited resources
exponential model
logistic model
population with limited resources and limited growth
size increases with smaller numbers
logistisc relationship
the exponential model is what relationship
direct
exponential models which is higher r=0.3 vs r=0.5
0.5
logistic model which is higher N0=100 vs N0=5
N0=5
population growth rate is the highest relative to carrying capacity
N=1/2K
As you increase r on a logistic model what happens to population growth and population size
population size stays the same while population growth decreases