Examples
Examples
Try the starting example
- Species abundance counts
- 10,5,3,2
- Concentration convention: 0 p²; 1 finite-sample n(n−1)
- 0
- Simpson concentration D
- 0.345
- Gini-Simpson diversity 1−D
- 0.655
- Inverse Simpson diversity 1/D
- 2.898551
Try another scenario
- Species abundance counts
- [5, 5, 5, 5]
- Concentration convention: 0 p²; 1 finite-sample n(n−1)
- 0
- Simpson concentration D
- 0.25
- Gini-Simpson diversity 1−D
- 0.75
- Inverse Simpson diversity 1/D
- 4
Calculation method
Calculation method
Simpson concentration D
Sum p² or sum n(n−1)/(N(N−1)) under explicit convention.
Gini-Simpson diversity 1−D
One minus selected concentration.
Inverse Simpson diversity 1/D
Reciprocal concentration; D0 explicitly reported unbounded.
Symbols and units
- a
- Species abundance counts
- b
- Concentration convention: 0 p²; 1 finite-sample n(n−1)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Species counts, selected index convention. Returns Explicitly named diversity measure. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Species abundance counts: minimum 0, maximum 1000000000000.0. Concentration convention: 0 p²; 1 finite-sample n(n−1): minimum 0, maximum 1.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.