Question

In: Biology

Forest A (community A) has 5 tree species each represented by 100 individuals and forest B...

Forest A (community A) has 5 tree species each represented by 100 individuals and forest B (community B) has 5 tree species each represented 10 individuals. What is the Shannon diversity index for both forests? Which forest has higher diversity? Please show me how to calculate it!

0

100

35

1.00

0

0

1

65

?

0.65

0

0

2

45

15

?

3

1.35

3

30

20

0.30

1

?

4

10

10

0.10

1

0.10

5

0

0

0.00

1

0

Solutions

Expert Solution

Shannon diversity index ,H' = − ∑ Pi ln Pi

FOREST A

Species No. if individuals Relative abundance (Pi) Ln Pi Pi Ln Pi
1 100 0.2 -1.6094 -0.32188
2 100 0.2 -1.6094 -0.32188
3 100 0.2 -1.6094 -0.32188
4 100 0.2 -1.6094 -0.32188
5 100 0.2 -1.6094 -0.32188
Total 500 -1.6094

Shannon diversity index ,H' = -1.6094

FOREST B

Species No. if individuals Relative abundance (Pi) Ln Pi Pi Ln Pi
1 10 0.2 -1.6094 -0.32188
2 10 0.2 -1.6094 -0.32188
3 10 0.2 -1.6094 -0.32188
4 10 0.2 -1.6094 -0.32188
5 10 0.2 -1.6094 -0.32188
Total 50 -1.6094

Shannon diversity index ,H' = -1.6094

Both the forests have same diversity. It accounts for both abundance and richness. Lower value of index means more diversity.


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