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ESPM-EEP%202010%20Lecture%2022

ESPM-EEP%202010%20Lecture%2022 - ESPM 104/EEP 115 Fall 2010...

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ESPM 104/EEP 115 Fall 2010: Lecture 22 1. Leslie matrix model with density-dependent survival of first age class x 1 ( t + 1) x 2 ( t + 1) x 3 ( t + 1) = s 0 b 1 s 0 b 2 s 0 b 3 s 1 ( N ) 0 0 0 s 2 s 3 x 1 ( t ) x 2 ( t ) x 3 ( t ) where s 1 ( N , A ) = s 1 1 + α N / A ( ) 4 2. Madonna Code for Stochastic Simulation assuming binomial probabilties: INIT x1=x10 NEXT x1 = s1Class s1Class= IF TimeExtinct = 0 THEN BINOMIAL(s0,BINOMIAL(b1,x1)+BINOMIAL(b2,x2)+BINOMIAL(b3,x3)) ELSE 0 N=x1+x2+x3 INIT x2=x20 NEXT x2 = s2Class s2Class= IF TimeExtinct = 0 THEN BINOMIAL(s1dd,x1) ELSE 0 s1dd=s1/(1+((alpha*N)/A)^4) INIT x3=x30 NEXT x3 = s3Class s3Class= IF TimeExtinct = 0 THEN BINOMIAL(s2,x2)+BINOMIAL(s3,x3) ELSE 0 3. Conditional statements in Madonna X = IF A THEN B ELSE C This means that if A holds or is true then X=B , otherwise X=C .

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4. Pseudo-extinction: (population reduced to level where it comes under sequestration and nurturing back to health). Use Conditional Statement in Madonna:
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