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.