Calculating Mortality Rates and Survival Rate of Walleye Population

How can we calculate the actual survival rate, actual total mortality rate, and total instantaneous mortality rate for a population of Walleye?

A. What is the survival rate, actual total mortality rate, and total instantaneous mortality rate for a population of Walleye based on the provided data?

B. If the mortality rate remains constant, how many Walleye will be alive after 3 years if we start with 10,000 Age-0 Walleye?

C. Assuming the mortality rate stays constant, how many Walleye will be alive after 4.5 years when starting with 10,000 Age-0 Walleye?

Answer:

To calculate the survival rate, total mortality rate, and total instantaneous mortality rate for a population of Walleye, we need to analyze the data provided.

To find the survival rate, we can subtract the number of Age-3 Walleye caught the following year from the number of Age-3 Walleye caught in the initial year and then divide by the initial number of Age-3 Walleye.

The survival rate is calculated as follows:

(36 - 42) / 36 = -6/36 = -1/6

The actual total mortality rate is the negative of the survival rate, which equals 1/6.

To determine the total instantaneous mortality rate, we divide the total mortality rate by the number of trap nets and the duration they were set for:

Total Instantaneous Mortality Rate = 1/6 / (6 nets * 24 hours) = 1/144

Calculation for B:

If the mortality rate remains constant and we start with 10,000 Age-0 Walleye, the number of Walleye alive after 3 years can be determined by:

10,000 * (1 - 1/6)^3

Calculation for C:

Similarly, if we want to calculate the number of Walleye alive after 4.5 years, we use the same formula but with 4.5 years instead of 3:

10,000 * (1 - 1/6)^4.5

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