Shannon Diversity Index Calculator

Calculator

Use this calculator to determine the Shannon Diversity Index, an important metric in ecological studies to measure the diversity within a community.

Results

Shannon Index: 0.000

Data Source and Methodology

All calculations are based on the standard mathematical formula for the Shannon Diversity Index.

The Formula Explained

The Shannon Diversity Index \( H = -\sum (p_i \log(p_i)) \), where \( p_i \) is the proportion of individuals found in the i-th species.

Glossary of Variables

How It Works: A Step-by-Step Example

Given species counts of 10, 20, and 30, calculate the total, determine each species' proportion, and apply the formula to find the Shannon Index.

Frequently Asked Questions (FAQ)

What is the Shannon Diversity Index used for?

The Shannon Diversity Index is used to measure the diversity within a community, taking into account both the abundance and evenness of species present.

How do I interpret the Shannon Index?

Higher values indicate greater diversity. A value of 0 indicates all members belong to a single species.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
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Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn
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Shannon Diversity Index Calculator

Calculator

Use this calculator to determine the Shannon Diversity Index, an important metric in ecological studies to measure the diversity within a community.

Results

Shannon Index: 0.000

Data Source and Methodology

All calculations are based on the standard mathematical formula for the Shannon Diversity Index.

The Formula Explained

The Shannon Diversity Index \( H = -\sum (p_i \log(p_i)) \), where \( p_i \) is the proportion of individuals found in the i-th species.

Glossary of Variables

How It Works: A Step-by-Step Example

Given species counts of 10, 20, and 30, calculate the total, determine each species' proportion, and apply the formula to find the Shannon Index.

Frequently Asked Questions (FAQ)

What is the Shannon Diversity Index used for?

The Shannon Diversity Index is used to measure the diversity within a community, taking into account both the abundance and evenness of species present.

How do I interpret the Shannon Index?

Higher values indicate greater diversity. A value of 0 indicates all members belong to a single species.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn
``` ]], displayMath: [['\\[','\\]']] }, svg: { fontCache: 'global' } };, svg: { fontCache: 'global' } };

Shannon Diversity Index Calculator

Calculator

Use this calculator to determine the Shannon Diversity Index, an important metric in ecological studies to measure the diversity within a community.

Results

Shannon Index: 0.000

Data Source and Methodology

All calculations are based on the standard mathematical formula for the Shannon Diversity Index.

The Formula Explained

The Shannon Diversity Index \( H = -\sum (p_i \log(p_i)) \), where \( p_i \) is the proportion of individuals found in the i-th species.

Glossary of Variables

How It Works: A Step-by-Step Example

Given species counts of 10, 20, and 30, calculate the total, determine each species' proportion, and apply the formula to find the Shannon Index.

Frequently Asked Questions (FAQ)

What is the Shannon Diversity Index used for?

The Shannon Diversity Index is used to measure the diversity within a community, taking into account both the abundance and evenness of species present.

How do I interpret the Shannon Index?

Higher values indicate greater diversity. A value of 0 indicates all members belong to a single species.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn
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