MacArthur-Wilson Island Biogeography TheoryAssume all species have an equal dispersal ability and risk of extinctionAssume...
Scaling Factors                    0.01                    0.25quilibrium Values                           Fraction of    ...
0.3 0.2 0.1  0  Row 14 Row 15 Row 16 Row 17 Row 18 Row 19 Row 20 Row 21 RGraph 3. Extinction Rates vs. Island Area
Effect of area on extinction            Ext small Ext medium Ext large               #DIV/0!        #DIV/0! #DIV/0!       ...
Ext large7 Row 18 Row 19 Row 20 Row 21 Row 22 Row 23 Row 24
Island biogeography excel
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Island biogeography excel

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Island biogeography excel

  1. 1. MacArthur-Wilson Island Biogeography TheoryAssume all species have an equal dispersal ability and risk of extinctionAssume no interaction between species on an island Parameters Scaling FactorsSpecies pool on mainland P 0 For distance (f)Area of Island A 0 For area (m)Distance from mainland D 0Colonization probability c 0Extinction probability q 0 Equilibrium Values Spp.richness Immigration, Extinction, and species richness Immigration rateFract.of pool Spp. Richness Immigration Extinction Extinction rate 0 0 #DIV/0! #DIV/0! 0.1 0 #DIV/0! #DIV/0! 0.2 0 #DIV/0! #DIV/0! 0.3 0 #DIV/0! #DIV/0! 0.4 0 #DIV/0! #DIV/0! 0.5 0 #DIV/0! #DIV/0! 0.6 0 #DIV/0! #DIV/0! 0.7 0 #DIV/0! #DIV/0! 0.8 0 #DIV/0! #DIV/0! 0.9 0 #DIV/0! #DIV/0! 1 0 #DIV/0! #DIV/0! 1 0.9 0.8 0.7 0.6 Spp. Richness 0.5 Immigration 0.4 Extinction 0.3 0.2 0.1 0 Row 14 Row 15 Row 16 Row 17 Row 18 Row 19 Row 20 Row 21 Row 22 Row 23 Row 24Graph 1. Immigration rate, Extinction Rate and the Equilibrium Point
  2. 2. Scaling Factors 0.01 0.25quilibrium Values Fraction of Effect of Distance on immigration Pool Spp. Richness Imm near Imm medium Imm far 0 0 #DIV/0! #DIV/0! #DIV/0! 0.1 0 #DIV/0! #DIV/0! #DIV/0! 0.2 0 #DIV/0! #DIV/0! #DIV/0! 0.3 0 #DIV/0! #DIV/0! #DIV/0! 0.4 0 #DIV/0! #DIV/0! #DIV/0! 0.5 0 #DIV/0! #DIV/0! #DIV/0! 0.6 0 #DIV/0! #DIV/0! #DIV/0! 0.7 0 #DIV/0! #DIV/0! #DIV/0! 0.8 0 #DIV/0! #DIV/0! #DIV/0! 0.9 0 #DIV/0! #DIV/0! #DIV/0! 1 0 #DIV/0! #DIV/0! #DIV/0! 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 Row 14 Row 15 Row 16 Row 17 Row 18 Row 19 Row 20 Row 21 R Graph 2. Immigration Rates vs. Island Distance 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 Row 14 Row 15 Row 16 Row 17 Row 18 Row 19 Row 20 Row 21 R
  3. 3. 0.3 0.2 0.1 0 Row 14 Row 15 Row 16 Row 17 Row 18 Row 19 Row 20 Row 21 RGraph 3. Extinction Rates vs. Island Area
  4. 4. Effect of area on extinction Ext small Ext medium Ext large #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! Spp. Richness Imm near Imm medium Imm far Ext medium7 Row 18 Row 19 Row 20 Row 21 Row 22 Row 23 Row 24. Island Distance Spp. Richness Imm medium Ext small Ext medium Ext large7 Row 18 Row 19 Row 20 Row 21 Row 22 Row 23 Row 24
  5. 5. Ext large7 Row 18 Row 19 Row 20 Row 21 Row 22 Row 23 Row 24

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