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35 Pages

### Analyzing matrix models 06

Course: BREN 211, Fall 2009
School: UCSB
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Word Count: 960

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Matrix Analyzing Models ESM 211 Nov. 8, 2006 Projecting the model Semipalmated Sandpiper in Manitoba Three age classes Initial age distribution (#/ha): 23.5 N(0) 14.2 7.3 Projection matrix: A 0.02115 0.074 0.0846 0.563 0 0 0 0.563 0.563 Iterate the model: N(t 1) AN (t ) 15 20 0 5 10 1 2 3 N 0 5 10 Year 15 20 N 1 e-03 0 5 10 15 1 2 3 20 Year 1 e-02 1 e-01 1 e+00 1 e+01 Asymptotic growth rate...

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Matrix Analyzing Models ESM 211 Nov. 8, 2006 Projecting the model Semipalmated Sandpiper in Manitoba Three age classes Initial age distribution (#/ha): 23.5 N(0) 14.2 7.3 Projection matrix: A 0.02115 0.074 0.0846 0.563 0 0 0 0.563 0.563 Iterate the model: N(t 1) AN (t ) 15 20 0 5 10 1 2 3 N 0 5 10 Year 15 20 N 1 e-03 0 5 10 15 1 2 3 20 Year 1 e-02 1 e-01 1 e+00 1 e+01 Asymptotic growth rate When population reaches stable age (or size or stage) distribution then all classes grow (or decline) at the same rate: N(t 1) 1N(t ) lambda_1 = Class 1 2 3 0.6389479 Reproductive value 1 1.097332 1.113922 Stable distribution 0.11886...
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