population growth question: A certain population of Macaws starts at 2.5 million and grows to 35 million over the span of 150 years....

[shannon808]

A certain population of Macaws starts at 2.5 million and grows to 35 million over the span of 150 years. If each generation is approximately 25 years, then about how many offspring would each Macaw pair need to achieve this growth? Also, each Macaw lives 70-80 years. I would love to know how to calculate population growth for different species, the numbers are somewhat made up. I'm guessing it has to do with logarithms or exponents, but I'm not sure how to set it up, and it is just for fun. If someone could enlighten me, then thank you!

 

[khansaheb]

A certain population of Macaws starts at 2.5 million and grows to 35 million over the span of 150 years. If each generation is approximately 25 years, then about how many offspring would each Macaw pair need to achieve this growth? Also, each Macaw lives 70-80 years. I would love to know how to calculate population growth for different species, the numbers are somewhat made up. I'm guessing it has to do with logarithms or exponents, but I'm not sure how to set it up, and it is just for fun. If someone could enlighten me, then thank you!

Is this "query" related to a topic in a course you are taking?

 

[khansaheb]

Try googling - logistic growth model" - and read some of the responses.

 

[Steven G]

Please show us what you have done so far so we can get you going further. Start by assuming that the growth rate is x% every 25 years.
Now find out the population at 0 years? at 25 years, at 50 years,... until you see a pattern.
If you don't see a pattern, then come back here and post back what you got for my questions above and we'll proceed from there.