Shannon Index Formula:
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The Shannon Index (also known as Shannon-Wiener Index or Shannon Diversity Index) is a measure of diversity in a community or ecosystem. It quantifies the uncertainty in predicting the species identity of an individual picked at random from the community.
The calculator uses the Shannon Index formula:
Where:
Explanation: The index increases as both the number of species and the evenness of their proportions increase.
Details: The Shannon Index is widely used in ecology, bioinformatics, and information theory to measure diversity, uncertainty, and information content in various systems.
Tips: Enter proportions as comma-separated values (e.g., 0.2,0.3,0.5). All values must be between 0 and 1, and their sum must equal 1.
Q1: What is a good Shannon Index value?
A: Higher values indicate greater diversity. There's no absolute "good" value as it depends on the context and number of species.
Q2: How does Shannon Index differ from Simpson's Index?
A: Shannon Index is more sensitive to rare species, while Simpson's Index gives more weight to common species.
Q3: Can Shannon Index be greater than 1?
A: Yes, there's no upper limit. The maximum value is ln(S) where S is the number of species.
Q4: What base logarithm is used?
A: Natural logarithm (base e) is typically used, but sometimes base 2 or 10 is used depending on the field.
Q5: How to interpret negative values?
A: The Shannon Index is always non-negative. Negative values would indicate an error in calculation.