Estimate the fish population of Lake Champlain using the Lincoln-Peterson Method.
-Number of fish of 1st capture: 60
-Number of fish of 2nd capture: 65
Marked fish in 2nd capture: 10
-Number of fish of 3rd capture: 65
Marked fish in 3rd capture: 15
-Number of fish of 4th capture: 70
Marked fish in 4th capture: 25
To estimate the fish population of Lake Champlain using the Lincoln-Peterson method, you will need the number of fish caught in each capture and the number of marked fish recaptured. From the given information, we have:
- Number of fish in the 1st capture: 60
- Number of fish in the 2nd capture: 65
- Number of marked fish in the 2nd capture: 10
- Number of fish in the 3rd capture: 65
- Number of marked fish in the 3rd capture: 15
- Number of fish in the 4th capture: 70
- Number of marked fish in the 4th capture: 25
Now, let's calculate the estimated population size using the Lincoln-Peterson method:
1. Calculate the capture-mark-recapture ratio (M):
M = (Number of marked fish in 1st capture * Number of fish in 2nd capture) / Number of marked fish recaptured in 2nd capture
M = (0 * 65) / 10 = 0
2. Calculate the estimated population size (N):
N = (Number of fish in the 1st capture * Number of fish in the 2nd capture) / Capture-mark-recapture ratio (M)
N = (60 * 65) / 0 = Infinity
Since the calculated capture-mark-recapture ratio (M) is zero, it indicates that there were no marked fish recaptured in the 2nd capture. Hence, it is not possible to estimate the fish population using the Lincoln-Peterson method with the given data.
To obtain a valid estimate, you would need to conduct additional captures and recaptures, ensuring that some marked fish are recaptured. The more captures and recaptures you have, the more accurate your estimation will be.