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Shannon Diversity Index Calculator
Measure the biodiversity of an ecosystem based on species richness and evenness.
Live Calculation
Shannon Index (H')
1.03
Live Step-by-Step Calculation
# Given Values:
Species A Population: 50
Species B Population: 30
Species C Population: 20
# Formula:
Shannon Index = -((s1/(s1+s2+s3))*log(s1/(s1+s2+s3)) + (s2/(s1+s2+s3))*log(s2/(s1+s2+s3)) + (s3/(s1+s2+s3))*log(s3/(s1+s2+s3)))
Shannon Index = -((s1/(s1+s2+s3))*log(s1/(s1+s2+s3)) + (s2/(s1+s2+s3))*log(s2/(s1+s2+s3)) + (s3/(s1+s2+s3))*log(s3/(s1+s2+s3)))
# Substitution:
Shannon Index = -((s1/(s1+s2+s3))*log(s1/(s1+s2+s3)) + (s2/(s1+s2+s3))*log(s2/(s1+s2+s3)) + (s3/(s1+s2+s3))*log(s3/(s1+s2+s3)))
Shannon Index = -((s1/(s1+s2+s3))*log(s1/(s1+s2+s3)) + (s2/(s1+s2+s3))*log(s2/(s1+s2+s3)) + (s3/(s1+s2+s3))*log(s3/(s1+s2+s3)))
Final Answer: 1.0297
How it works
Biological Formula Standard
The Shannon index is a popular metric in ecology to track biodiversity. A higher value indicates a more diverse and balanced ecosystem.
How it Works
The Shannon index is a popular metric in ecology to track biodiversity. A higher value indicates a more diverse and balanced ecosystem.
AI Insight
Did you know? Consistent tracking of these metrics can help identify trends over time. Try adjusting the inputs to see how sensitive the result is to each variable.
Next Steps
Explore related calculators in the ecology category to get a more comprehensive view of your situation.
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