Population Ecology Homework: Solving for N After Year One

[Youngster]

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.

 

[sacscale]

Depends on what "K" is, I suspect it's the carrying capacity.