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Shannon Index of Diversity Calculator

Shannon Index Equation:

\[ H = -\sum_{i=1}^{S} (p_i \ln p_i) \]

e.g. 10,20,30

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1. What is the Shannon Index?

The Shannon Index (H) is a measure of diversity that accounts for both species richness (number of species) and evenness (distribution of individuals among species). It's widely used in ecology, information theory, and other fields to quantify uncertainty in predicting species identity.

2. How Does the Calculator Work?

The calculator uses the Shannon Index equation:

\[ H = -\sum_{i=1}^{S} (p_i \ln p_i) \]

Where:

Explanation: The index increases as both the number of species and the evenness of their abundances increase.

3. Importance of Diversity Indices

Details: The Shannon Index is crucial for comparing biodiversity between different habitats, monitoring ecosystem health, and assessing conservation priorities.

4. Using the Calculator

Tips: Enter counts of individuals for each species, separated by commas. All values must be positive integers.

5. Frequently Asked Questions (FAQ)

Q1: What is a good Shannon Index value?
A: Typically ranges between 1.5 and 3.5 in most ecological studies, with higher values indicating greater diversity.

Q2: How does Shannon Index differ from Simpson's Index?
A: Shannon Index is more sensitive to rare species, while Simpson's Index emphasizes dominant species.

Q3: What's the maximum possible Shannon Index?
A: The maximum is ln(S), where S is the number of species, achieved when all species are equally abundant.

Q4: Should I use natural log or log base 2 or 10?
A: Natural log (ln) is standard in ecology, but base 2 is used in information theory (bits). The calculator uses natural log.

Q5: How should I interpret the results?
A: Compare values between samples rather than focusing on absolute values. Higher H = more diverse community.

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