High School

Community 1 contains 100 individuals distributed among four species (A, B, C, D). Community 2 contains 100 individuals distributed among three species (A, B, C).

Community 1: 5A, 5B, 85C, 5D
Community 2: 30A, 40B, 30C

Calculate the Shannon diversity (H) for each community. Which community is more diverse?

Answer :

To calculate the Shannon diversity index (H) for each community, we can use the formula: H = -∑(pi * ln(pi)), Where: pi represents the proportion (relative abundance) of each species in the community and ln represents the natural logarithm.

For Community 1:

- Number of individuals: 100

- Species A: 5 individuals (5/100 = 0.05)

- Species B: 5 individuals (5/100 = 0.05)

- Species C: 85 individuals (85/100 = 0.85)

- Species D: 5 individuals (5/100 = 0.05)

H = -[(0.05 * ln(0.05)) + (0.05 * ln(0.05)) + (0.85 * ln(0.85)) + (0.05 * ln(0.05))]

Calculating this equation gives us H ≈ 0.398

For Community 2:

- Number of individuals: 100

- Species A: 30 individuals (30/100 = 0.3)

- Species B: 40 individuals (40/100 = 0.4)

- Species C: 30 individuals (30/100 = 0.3)

H = -[(0.3 * ln(0.3)) + (0.4 * ln(0.4)) + (0.3 * ln(0.3))]

Calculating this equation gives us H ≈ 1.099

Comparing the Shannon diversity index (H) for each community, we can see that Community 2 has a higher diversity (H ≈ 1.099) compared to Community 1 (H ≈ 0.398). Therefore, Community 2 is more diverse than Community 1.

Learn more about Shannon diversity index here ;

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