Lecture 28-cwo-LVcomp

Lecture 28-cwo-LVcomp - Community Ecology Outline: 1....

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1. Species interactions 1. Lotka-Volterra models 1. Interspecific competition 1. Coexistence 1. What’s missing (resources) Outline: Community Ecology
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Species interactions: Competition(- , -) Predation (+ , -) (Herbivory, Parasitism, Disease) Mutualism (+ , +) None (0 , 0)
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Species interactions: 1 a11 a14=0 4 2 aij>0 aij<0 3 6 a16 5 a15 Note: my notation is slightly different than text… aij gives the per capita effect of species j on species i’s per capita growth rate, dNi/Nidt
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otka-Volterra odel: ... / ... / ... / 3 33 2 32 1 31 3 3 3 3 23 2 22 1 21 2 2 2 3 13 2 12 1 11 1 1 1 + + + + = + + + + = + + + + = N a N a N a r dt N dN N a N a N a r dt N dN N a N a N a r dt N dN Special cases: 1. Exponential model: all a’s=0 2. Logistic model: aii<0; others =0
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Species interactions: 1 a11 2 aij>0 aij<0 3 4 a21 a44 What can you say about the interactions between these species? Which are interspecific competitors? Which are predator and prey? Which are mutualists? Which show self limitation? 4 44 3 43 2 42 1 41 4 4 4 4 34 3 33 2 32 1 31 3 3 3 4 24 3 23 2 22 1 21 2 2 2 4 14 3 13 2 12 1 11 1 1 1 / / / / N a N a N a N a r dt N dN N a N a N a N a r dt N dN N a N a N a N a r dt N dN N a N a N a N a r dt N dN + + + + = + + + + = + + + + = + + + + =
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Competition: 1 a12 2 a21 a11 a22 (dNi/Nidt) α ij = aij/aii , the effect of interspecific competition relative to the intraspecific effect (e.g.,
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Lecture 28-cwo-LVcomp - Community Ecology Outline: 1....

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