Shannon H´ (entropia)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The Shannon H' (entropy) calculator quantifies species diversity in a community, combining richness (number of species) and evenness (distribution of abundances). The H' index is computed as the negative sum of each species' proportion (pi) multiplied by its natural logarithm. Higher values indicate greater diversity, while values near zero suggest dominance by a few species. This tool is widely used in ecology, conservation biology, and environmental studies to compare habitats, assess impacts, and monitor biodiversity changes.
Operation is straightforward: input the abundances or proportions of each species (as integers or decimals summing to 1), and the calculator applies the formula H' = -Σ(pi * ln(pi)). For count data, it first computes relative proportions. The result is a dimensionless number reflecting the uncertainty in the identity of a randomly sampled individual. The higher the H', the more unpredictable and diverse the community. The tool can also display Pielou's evenness (J' = H'/ln(S)), ranging from 0 to 1, indicating how evenly abundances are distributed.
Use this calculator when analyzing species inventories in terrestrial or aquatic ecosystems, comparing areas before and after disturbances, or studying environmental gradients. It is common in fieldwork, theses, and environmental impact reports. The Shannon index is sensitive to rare species, but less so than Simpson's index; thus it is preferred when giving weight to less abundant species. Remember that H' depends on sample size and spatial scale, so comparisons are only valid among communities sampled with similar effort.
Important caveats: never compare H' calculated with different logarithms (ln vs log10) without conversion; values may vary. Interpretation must consider ecological context: an H' of 3.5 in a tropical forest may be low if the expected value is 4.5. Additionally, the index assumes all species are equally detectable, which is rarely true. For communities with many rare species, undersampling bias can underestimate H'. Finally, use evenness alongside H' for a more complete analysis.
Frequently asked questions
What does an H' value of 0 mean?
It indicates a community dominated by a single species (maximum dominance), meaning no uncertainty in the identity of a sampled individual.
What is the difference between Shannon and Simpson?
Shannon (H') is more sensitive to rare species, while Simpson (D) gives more weight to common species. Simpson ranges from 0 to 1 (higher = more diverse), and Shannon has no fixed upper limit.
Can I use base 10 logarithm?
Yes, but the result will be different (smaller). To compare with studies using ln, convert by multiplying H'(base10) by ln(10) ≈ 2.3026.
What is the maximum value of H'?
There is no absolute maximum; it depends on the number of species (S). The theoretical maximum is ln(S), when all species have equal abundance.
How does the calculator handle species with zero abundance?
Species with zero abundance (proportion 0) do not affect the calculation, since 0 * ln(0) is mathematically undefined. The calculator ignores them automatically.