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Special Topics in Ecology and Biodiversity University of Malaya 2010 Biodiversity
Diversity ,[object Object],[object Object],[object Object],[object Object],[object Object]
Below is a group of letters. What “variation” do you see here? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variation Within a Group ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variation Within a Group ,[object Object],[object Object],[object Object]
What about variation between groups?
Which Group Contains More Variation? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Group 1 is more variable ,[object Object],[object Object],[object Object]
Variation Between Groups ,[object Object],[object Object],[object Object]
Which Group Contains More Variation? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variation Between Groups ,[object Object],[object Object],[object Object]
Which group has more variation? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variation Between Groups ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Which group has more variation? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Group 1 is more variable ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variation Between Groups ,[object Object],[object Object],[object Object]
Which Group is Most Even? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Factors That Influence Diversity ,[object Object],[object Object],[object Object]
Which Group is More Diverse? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
This is a Tricky Question!!!!! ,[object Object],[object Object],[object Object],[object Object]
Which Sample is More Diverse? ,[object Object],[object Object],[object Object],[object Object],[object Object]
Rank according to number of types of letters ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Compare samples 1, 3, 5 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Can you come up with an equation that we can use to calculate “diversity” that we can use to compare samples?
What is “Biodiversity”? ,[object Object],[object Object],[object Object]
Biodiversity ,[object Object],[object Object]
Biodiversity ,[object Object],[object Object]
Biodiversity ,[object Object],[object Object]
Genetic Diversity ,[object Object],[object Object],[object Object]
Species ,[object Object],[object Object],[object Object],[object Object]
Biological Species Concept ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Biological Species ,[object Object],[object Object]
Phenotypic Variation Within Species ,[object Object],[object Object],[object Object]
Species Diversity ,[object Object],[object Object],[object Object],[object Object],[object Object]
Diversity Indices ,[object Object],[object Object],[object Object],[object Object]
Species Richness ,[object Object]
Diversity Example ,[object Object],[object Object],[object Object],[object Object]
Species Richness ,[object Object],[object Object]
Species Richness ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Which is more diverse? ,[object Object],[object Object]
Shannon Diversity Index ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Let’s Try an Example ,[object Object],[object Object],[object Object],[object Object]
Shannon Index Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Shannon Index Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Shannon Index Example ,[object Object],[object Object],[object Object],[object Object]
Shannon Index Example ,[object Object],[object Object],[object Object],[object Object],[object Object]
Shannon Index ,[object Object],[object Object],[object Object]
Shannon Index ,[object Object],[object Object]
Shannon Index Pi 0.1 ln pi -2.30259 Pi * ln pi -0.23026 0.2 -1.60944 -0.32189 0.3 -1.20397 -0.36119 0.4 -0.91629 -0.36652 0.5 -0.69315 -0.34657 0.6 -0.51083 -0.3065 0.7 -0.35667 -0.24967 0.8 -0.22314 -0.17851 0.9 -0.10536 -0.09482 1 0 0
Shannon Index ,[object Object],[object Object],[object Object],[object Object]
Shannon Index ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Pielou’s Evenness Index  -  based on Shannon Index ,[object Object],[object Object],[object Object]
H max ,[object Object],[object Object],[object Object]
Evenness Index Example ,[object Object],[object Object],[object Object],[object Object]
Simpson’s Index ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example ,[object Object],[object Object],[object Object],[object Object]
Simpson’s Index of Diversity ,[object Object],[object Object],[object Object]
Simpson’s Index of Diversity ,[object Object],[object Object],[object Object]
Diversity Indices ,[object Object],[object Object]
Diversity Indices ,[object Object],[object Object],[object Object],[object Object]

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Biodiversity um

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  • 49. Shannon Index Pi 0.1 ln pi -2.30259 Pi * ln pi -0.23026 0.2 -1.60944 -0.32189 0.3 -1.20397 -0.36119 0.4 -0.91629 -0.36652 0.5 -0.69315 -0.34657 0.6 -0.51083 -0.3065 0.7 -0.35667 -0.24967 0.8 -0.22314 -0.17851 0.9 -0.10536 -0.09482 1 0 0
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