When N is very small, the population is growing exponentially. The actual number of new individuals added is relatively small, however, because N is so small. As N nears the value of K/2, dN/dt approaches its maximum. As N approaches K, dN/dt decreases.
d. What assumptions are made to develop this equation?
The logistic model assumes that resources and space limit the growth of a population and that these factors determine the maximum number of individuals that can be sustained over time.
Not suitable, because birth rate is much lower than death rate.
4a) 8.5 turkeys/acre
4b) 110 turkeys/ year
4c) 890 turkeys
5) One dandelion plant can produce many seeds, leading to a high growth rate for dandelion populations. If a population of dandelions is currently 40 individuals, and rmax= 80 dandelions/month, predict dN/dt if these dandelions would grow exponentially.
Equation to use, exponential growth: dN/dt= rmax N
dN/dt= 80 x 40= 3200
6) Imagine the dandelions mentioned in #5 cannot grow exponentially, due to lack of space. The carrying capacity for their patch of lawn is 70 dandelions. What is their dN/dt in this logistic growth situation?
Equation to use, logistic growth: dN/dt= r max N (K-N/K)