Population Ecology

Homework Statement

A flock of 10 Kolea birds going back to its mating grounds in Alaska from Hawaii gets blown off course and lands on a small island in the Aleutian (with no other Kolea birds) that is 25 km2 and has tundra habitat. The birds are known to have an intrinsic growth rate of 1.8 per year. Islands of similar size and climate have a carrying capacity of 2,000 Kolea birds, as the birds do have some territoriality. Make a table with the following parameters assuming that these birds have founded a new population will return here year after year.:

- Population Size (N)
- Intrinsic Growth Rate (r)
- Logistical Correction ($\frac{K-N}{K}$)
- Per Capita Growth Rate (r$\frac{K-N}{K}$)
- Population Growth Rate (rN$\frac{K-N}{K}$)

Homework Equations

Given above in parameters

The Attempt at a Solution

I don't have any issues plugging in values to fill out the first year, but I don't know how one determines the population size (N) of the following years. In this case, I'm stuck at year two and have no idea what the population should be.