Can anyone help me analyze some population stats?

Question

I come from a tribe called the Mi'kmaq tribe aka micmac indians. Anyways I'm curious what per centage of the world population do we make up in this world and how does one figure out such a stat?

According to consensus stats, there are currently approximately 40,000 Mi'kmaq people that still occupy canada and the usa. Concensus a little over 100 years ago showed our tribe was down to 800 but contested by other stats (our own tribal estimates) and we believe the actual number was about 4000. I have been told our population quadriples every 20 years, if this is so, how long with it take for our tribe to reach 1 million? Thank you in advance

Answer 1

Some of your numbers might be in conflict, but let's see what we can do with what you have. If there are 40,000 Mi'kmaqs now, and about 6 billion people in the world, the Mi'kmaq percentage is 100*40,000/6 billion = 4 million divided by 6 billion = 4 divided by 6 thousand (cancelling the zeroes) = 0.00067%, much less than one percent.

Next, if there were 4,000 Mi'kmaqs a century ago and 40,000 now. the population increased tenfold in a hundred years. This is an annual growth rate of about 2.3% per year:

4,000 (1.0233^100) = 40,000

At the historical rate, in twenty years the population will increase from 40,000 to a little over 64,000. If it every twenty years, the 40,000 goes up to 160,000. That's a big difference from 64,000!

But assuming you're right, the annual growth rate is 7.18% -- a very large number. Anyway, at that rate, you'll get to a million in 46 1/2 years:

40,000 (1.0718^k) = 1,000,000
1.0718^k = 25
k log 1.0718 = log 25
k = 46.44 years

Answer 2

Well, that seems pretty quick for your population to quadruple, but at that rate, your tribe would reach 1 million in about 50 years. Generally, the population of the world is estimated to be 6 billion people. So, the percentage of the population your tribe makes up is .00000066%. Hope that helps.

Answer 3

If you start with 4000 and quadruple every 20 years,

Year: 0 - Population: 4,000
Year: 20 - Population: 16,000
Year: 40 - Population: 64,000
Year: 60 - Population: 256,000
Year: 80 - Population: 1,024,000

Answer: About 80 years to reach a million.

Answer 4

If there are 40,000 of you today and you quadruple every 20 years, then you double every 10 years. To get to 1 million, you need to increase by 1,000,000 / 40,000 = 25 times. That means you need more than 4 doubles (16x), but less than 5 (32x). You can figure it out exactly by using ln(25)/ln(2). The answer is 46 years.

Answer 5

your population does not quadruple every 20 years the rest is just math