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Unformatted text preview: IX COLUMN MATRIX MATRIX From: S S R Fl
A SS A SR R
0 A RR F
AFS 0 NS NSASS 0 NRARR NFAFS 0 x NR NF = NSASR 0 A RF AFF 0 NRARF NFAFF TRANSITION MATRIX COLUMN MATRIX MATRIX TO GET NEW COLUMN MATRIX FOR YEAR 2 NSASS NSASR 0 NRARR NFAFS 0 add across = NS t+1 add across = NR t+1
= NS t+1 NR t+1 0 NRARF NFAFF add across = NF t+1 NF t+1 NEW COLUMN MATRIX Assumption = transition probabilities are Assumption Repeat process using new column matrix each year (reflects changing population size), BUT keep same transition matrix transition relatively constant over time….this may not be true…you can play around with this. this. Have computer calculate finite rate of Have population increase (λ) after you’ve run population after the model over many time steps the [λ (lambda) = dominant eigenvalue of matrix] What happens to population over time ? What Does it go to zero ? (λ < 1) Does Does it increase ? (λ >1) Does it reach a stable age distribution ? Does (ra...
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This note was uploaded on 12/25/2009 for the course ENV S 100 taught by Professor Staff during the Fall '08 term at UCSB.
- Fall '08