In: Biology
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 |
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.