Slideshow 6 Flashcards
What is basic population growth with unlimited resources
(exponential growth model
What is basic population growth with limited resources
(the logistic growth model
What is the formula for an open population
P(t)=P0 +(B−D)+(I−E)
What is the formula for an closed population
P(t)=P0 +(B−D)
dP/dt=B(t)−D(t)
What is the formula for exponential growth
dN/dt = rN
What 2 factors are accounted for in logistic population growth
- Depletion of resources
- Direct negative effects of high population density
(accumulation of waste / aggression between individuals)
What is DENSITY DEPENDENCE
.’density dependence is some (non-constant) functional relationship between the per
capita rate of population change and population density, possibly involving lags”
Logistic Population growth
P(t)= K/(K-N0) e^-rt + N0
What are the 4 assumptions of logistic population growth
- It is assumed that the per capita growth rate is a linear function of N
(population size) - It is assumed that population growth rate responds instantly to changes in N
(i.e. no time lags) - It is assumed that the external environment has no influence on the
Rate of population growth - It is assumed that all individuals in the population are equal
(there are no effects of individual age or size)