The population of Bighorn Sheep in the Rocky Mountain National Park is currently under protection by the Colorado Fish and Wildlife Department. But more recently, biologists have been concerned about whether the sheep will continue to grow in numbers in future years. They know that this is highly dependent on the birthrates and survival rates of the sheep at different stages in their lives. This information is displayed in the table below:
| Age (years) | Birthrate | Survival Rate |
|---|---|---|
| 0 - 2 | 0 | 0.6 |
| 2 - 4 | 0.8 | 0.8 |
| 4 - 6 | 1.7 | 0.9 |
| 6 - 8 | 1.7 | 0.9 |
| 8 - 10 | 0.8 | 0.7 |
| 10 - 12 | 0.4 | 0 |
The current population of sheep is 130 with the following distribution:
Age (years)
0 - 2
2 - 4
4 - 6
6 - 8
8 - 10
10 - 12
Number
50
30
18
18
10
4
You must investigate this problem and report to the biologists what the expected number of sheep will be after each two-year period up to 12 years. Be sure to include in your report a general statement about what is happening with the sheep population based on this data.