I have a Leslie’s matrix with population growth for this year.

0 2 3 240

0.2 0 0 400

0 0.5 0 320

Next year’s population is

1200

200

160

Because

2*240 +3*240 = 1200

0.2*400 = 200

0.5*320 = 160

How can I calculate population in 50 years?

Thank you.

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- Nov 25th 2012, 01:03 PMmathproblemsLeslie’s matrix with population growth
I have a Leslie’s matrix with population growth for this year.

0 2 3 240

0.2 0 0 400

0 0.5 0 320

Next year’s population is

1200

200

160

Because

2*240 +3*240 = 1200

0.2*400 = 200

0.5*320 = 160

How can I calculate population in 50 years?

Thank you. - Nov 25th 2012, 01:33 PMPlatoRe: Leslie’s matrix with population growth
- Nov 25th 2012, 01:48 PMmathproblemsRe: Leslie’s matrix with population growth
- Nov 25th 2012, 02:12 PMPlatoRe: Leslie’s matrix with population growth
- Nov 25th 2012, 03:06 PMmathproblemsRe: Leslie’s matrix with population growth
Sorry for the trouble reading my damn questions. Here is one again ...let me rephrase it this time.

The link you sent is great, but how do they calculate? I need to see details...do I need to calculate every year 50 times? (my new damn question LOL)

In my book they skipped the power calculation, just gave the answer after 1 year and then answer for power of 10. (no calculation)

LaTex is nice...but I really do not have time to learn it, trying to keep up with other math stuff.

On a positive note, I understood my mistake above…so now just the power 50 is left.

Thank you for your time! - Nov 25th 2012, 03:20 PMPlatoRe: Leslie’s matrix with population growth
- Nov 25th 2012, 03:34 PMBobPRe: Leslie’s matrix with population growth
It's possible to work out the power by diagonalising the matrix.

Might do this tomorrow, it's after midnight now, and bedtime. - Nov 26th 2012, 08:48 AMmathproblemsRe: Leslie’s matrix with population growth
Can someone help me to understand how to calculate population in 50 years?

Thanks!!! - Nov 26th 2012, 08:59 AMPlatoRe: Leslie’s matrix with population growth

It is done here for you.