The Impact of Harvest Time Restriction on Walleye Population in Lake Erie

The Strategy to Preserve Walleye Population

The biologists take to preserve the fish population is to restrict harvest times to reduce pressure on spawning walleye. They estimate this will cut the loss rate to 12% each year.

Walleye Population Growth in Lake Erie

The walleye population in Lake Erie, under the restriction of harvest times follows a recursive sequence defined by P(n) = P(n-1) - 0.12P(n-1), where P(n) represents the population at year n.

How can we describe the walleye population growth?

Let P(n) represent the population of walleye in Lake Erie at year n.

We can establish the recursive sequence as follows:

P(n) = P(n-1) - 0.12P(n-1)

This recursive formula represents the population at year n as the population at year n-1 minus 12% of the population at year n-1, considering the estimated loss rate due to the restricted harvest time.

Full question:

The first step the biologists take to preserve the fish population is to restrict harvest times to reduce pressure on spawning walleye. They estimate this will cut the loss rate to 12% each year. Write a recursive sequence to describe walleye population growth in Lake Erie under a restricted harvest time.

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