Shannon Diversity Index Calculator

Calculate the Shannon Diversity Index (H'), species evenness, and species richness from abundance data. Enter the number of individuals per species to measure biodiversity.

SHANNON INDEX (H')
--
Species Richness (S)
--
Evenness (J')
--
Total Individuals
--
Max H' (Hmax)
--

What Is the Shannon Diversity Index?

The Shannon Diversity Index (also called the Shannon-Wiener Index or Shannon-Weaver Index) is the most widely used measure of species diversity in ecology. Developed from information theory by Claude Shannon in 1948, it quantifies the uncertainty in predicting the species identity of a randomly chosen individual from a community.

The index accounts for both species richness (number of species) and evenness (how equally individuals are distributed among species). A community with many species and equal abundances will have a higher Shannon Index than one dominated by a single species. Typical values range from 1.5 to 3.5 for natural communities, rarely exceeding 4.5.

The Shannon Index Formula

H' = -Σ (pi × ln(pi))
pi = ni / N   (proportion of species i)
Evenness: J' = H' / H'max = H' / ln(S)

Where:

  • H' = Shannon Diversity Index
  • pi = proportion of individuals belonging to species i
  • ni = number of individuals of species i
  • N = total number of all individuals
  • S = total number of species (species richness)
  • J' = Pielou's evenness index (0 to 1)

Interpreting Results

H' ValueDiversity LevelExample Ecosystem
0 - 1.0Very low diversityMonoculture, polluted sites
1.0 - 2.0Low to moderateManaged grasslands, urban parks
2.0 - 3.0Moderate to highTemperate forests, meadows
3.0 - 4.0High diversityTropical forests, coral reefs
> 4.0Very high diversityPristine tropical rainforests

Frequently Asked Questions

What is the difference between H' and Simpson's Index?

Both measure diversity, but they emphasize different aspects. The Shannon Index gives more weight to rare species (because of the logarithm), while Simpson's Index (D = 1 - Σpi²) is more sensitive to dominant species. Shannon's is more commonly used in ecology, while Simpson's is preferred when dominance patterns are the primary interest.

Why use natural logarithm instead of other bases?

The natural logarithm (ln) is the standard convention in ecology and produces values in "nats." Log base 2 gives values in "bits" (from information theory), and log10 gives "bans." The choice of base does not affect relative comparisons between communities, only the absolute value of H'. Using ln is the most widely accepted practice in ecological literature.

What does evenness (J') tell us?

Evenness (Pielou's J') ranges from 0 to 1 and measures how equally individuals are distributed among species. J' = 1 means all species have identical abundances (perfect evenness), while J' close to 0 indicates one species dominates. A community with 100 species but where 99% of individuals belong to one species would have high richness but very low evenness.