Hill Number N1
Convert a natural-log Shannon entropy to the Hill number of order one, the effective number of equally common species, as exp(H).
Description
Convert a natural-log Shannon entropy to the Hill number of order one, the effective number of equally common species, as exp(H).
Hill Number N1 is a focused biology tool that convert a natural-log Shannon entropy to the Hill number of order one, the effective number of equally common species, as exp(H). It calculates locally from the values you enter and exposes the result without changing the source observations.1
When to use Hill Number N1
Use Hill Number N1 when you need to convert a natural-log Shannon entropy to the Hill number of order one, the effective number of equally common species, as exp(H). Enter Shannon entropy using the definitions and units below so the result can be reproduced.
- Shannon entropy
- Shannon diversity index in natural logarithm units.
How Hill Number N1 calculates the result
The published tool contract uses this rule: Convert a natural-log Shannon entropy to the Hill number of order one, the effective number of equally common species, as exp(H).
- Hill number N1
- The calculated hill number n1.
Limitations of Hill Number N1
The calculation does not propagate measurement uncertainty, sampling error, or biological and chemical variability.
Alternative or Complementary measurements
Retain the original Shannon entropy values and their units alongside the result. Hill Number N0 is useful when you instead need to return the Hill number of order zero, which equals species richness and therefore passes the species count through unchanged. Hill Number N2 provides another view by helping you convert a Simpson concentration to the Hill number of order two as its reciprocal.
References
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Diversity index — Wikipedia contributors
Similar or alternative tools
- Hill Number N0
Return the Hill number of order zero, which equals species richness and therefore passes the species count through unchanged.
- Hill Number N2
Convert a Simpson concentration to the Hill number of order two as its reciprocal.
- Brillouin Index
Compute the Brillouin diversity index HB = (ln(N!) - sum(ln(ni!))) / N from three species counts using loop-based log factorials for communities up to 10000 individuals.