Module 14: Biodiversity

Diversity vs. Uniformity
  • biological
  • cultural
  • financial
  • language
  • food sources
  • religious
  • ethnic
  • farming
  • clothing

Biodiversity: small to large
Genetic Variation:
Example
Both of these have 4 species (richness) but community 1 (left side) has more evenness:

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Diversity, local to global:


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Shannon's index:

Imagine a community of 100 individuals that are evenly divided among four species, so that the proportions (p1 ) of the species all equal 0.25. We can calculate Shannon's index as follows:

  • H = - ((0.25 X In 0.25) + (0.25 X In 0.25) + (0.25 X In 0.25) + (0.25 X In 0.25))
  • H = - [(-0.35) + (- 0.35) + (- 0.35) + (-0.35))
  • H = 1.40

Now imagine another community of 100 individuals that also contains four species, but in which one species is represented by 94 individuals and the other three species are each represented by 2 individuals. We can calculate Shannon's index to see how this difference in species evenness affects the value of the index:

  • H = - ((0.94 X In 0.94) + (0.02 X In 0.02) + (0.02 X In 0.02) + (0.02 X In 0.02)]
  • H = - [(-0.06) + (-0.08) + (- 0.08) + (-0.08)]
  • H = 0.30

Because this value of H is lower than the value we calculated for the first community, we can conclude that the second community has lower diversity. Note that the total number of individuals does not affect Shannon's index of diversity; only the number of species and the proportion of individuals within each species matter.

Low diversity looks like H = 1.5, high diversity is around H = 4.5


Try this with your data:

  • pick several populations (age in class, home state/country, M&M, goldfish)
  • determine percent of total for each population (p1)
  • calculate ln (natural log) of each percentage
  • multiply ln of each percentage by the percentage
  • add these up for each population







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Revision #3
Created 2026-09-29 15:58:46 UTC by Admin
Updated 2026-09-29 16:47:53 UTC by Admin