In a national park in Idaho, mountain goats roam the wilderness. The population develops according to the logistic growt
Posted: Thu May 19, 2022 9:18 am
In a national park in Idaho, mountain goats roam the wilderness.
The population develops according to the logistic growth
function:
Question 3.1 Based on this specification: a) What is the
intrinsic growth rate and b) what is the natural carrying
capacity?
Question 3.2 If there are 300 mountain goats in the park at time
t, how many will there be at time t+1, t+2, t+3, t+4, and t+5 if no
hunting or other population control measures takes place in the
park?
Question 3.3 The Marginal Growth Function is MG(St) = 1.25 –
St/320. In 200 words or less, explain how we can derive this
function and why it is relevant.
Question 3.4 Assume that the discounting rate is 15%. a) Use the
Golden Rule of Growth to find the level of stock that maximizes the
present value of the mountain goat population. b) In 200 words or
less, explain how this level of stock compares to the Maximum
Sustained Yield level of stock?
S:+1 - S, = 1.25 * S* (1 – S:/800) where S, is the number of mountain goats in year t, S1+1 is the number of mountain goats in the next year (1+1).
The population develops according to the logistic growth
function:
- In A National Park In Idaho Mountain Goats Roam The Wilderness The Population Develops According To The Logistic Growt 1 (23.38 KiB) Viewed 89 times
intrinsic growth rate and b) what is the natural carrying
capacity?
Question 3.2 If there are 300 mountain goats in the park at time
t, how many will there be at time t+1, t+2, t+3, t+4, and t+5 if no
hunting or other population control measures takes place in the
park?
Question 3.3 The Marginal Growth Function is MG(St) = 1.25 –
St/320. In 200 words or less, explain how we can derive this
function and why it is relevant.
Question 3.4 Assume that the discounting rate is 15%. a) Use the
Golden Rule of Growth to find the level of stock that maximizes the
present value of the mountain goat population. b) In 200 words or
less, explain how this level of stock compares to the Maximum
Sustained Yield level of stock?
S:+1 - S, = 1.25 * S* (1 – S:/800) where S, is the number of mountain goats in year t, S1+1 is the number of mountain goats in the next year (1+1).