If I knew that by the year 2000 that there were 1 trillion humans, and that they started reproducing

vacinammo288

vacinammo288

Answered question

2022-04-23

If I knew that by the year 2000 that there were 1 trillion humans, and that they started reproducing 2000 years before that, how would I calculate their birth rate?
Assume an initial population of 1 million, and a reproduction age of 15.
Also take into account a standard death rate, where death occurs after 75 years, and reproduction age ends at 50.
Assume a uniform age distribution.

Answer & Explanation

Klanglinkmgk

Klanglinkmgk

Beginner2022-04-24Added 13 answers

The simplest model would just say the population increases by a fixed fraction every year: P(t)=P0gt where P0 is the initial population, g the growth rate, and t is time. Given two points, you can solve this with logarithms. Using the values you supply:
1012=106g2000
12=6+2000log10g
log10g=.003
g1.007
If you want to take into account the age distribution, you need to specify a starting one. Then you will have a reproduction rate for those in a certain age bracket and you have to specify also what age people die at. But if you define the inputs completely, you can write a set of equations to cover it-you might have one for every age, for example.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?