ACE Bias Corrected
Estimate abundance-based species richness with ACE using the species observed at most ten times, their total individuals, singleton count, and the rare-frequency moment sum i(i-1)f_i. ACE is undefined when every rare individual is a singleton.
Description
Estimate abundance-based species richness with ACE using the species observed at most ten times, their total individuals, singleton count, and the rare-frequency moment sum i(i-1)f_i. ACE is undefined when every rare individual is a singleton.
ACE Bias Corrected is a focused biology tool that estimate abundance-based species richness with ACE using the species observed at most ten times, their total individuals, singleton count, and the rare-frequency moment sum i(i-1)f_i. ACE is undefined when every rare individual is a singleton. It calculates locally from the values you enter and exposes the result without changing the source observations.1
When to use ACE Bias Corrected
Use ACE Bias Corrected when you need to estimate abundance-based species richness with ACE using the species observed at most ten times, their total individuals, singleton count, and the rare-frequency moment sum i(i-1)f_i. ACE is undefined when every rare individual is a singleton. Enter Observed species, Rare species, Individuals in rare species, Singleton species, and Rare-frequency moment using the definitions and units below so the result can be reproduced.
- Observed species
- An integer count or setting greater than or equal to 1.
- Rare species
- Number of observed species represented by 1–10 individuals.
- Individuals in rare species
- Total individuals belonging to species represented 1–10 times.
- Singleton species
- An integer count or setting greater than or equal to 0.
- Rare-frequency moment
- Sum of i(i-1)f_i for abundance classes i=1 through 10.
How ACE Bias Corrected calculates the result
The published tool contract uses this rule: Estimate abundance-based species richness with ACE using the species observed at most ten times, their total individuals, singleton count, and the rare-frequency moment sum i(i-1)f_i. ACE is undefined when every rare individual is a singleton.
- Bias-corrected ACE estimate
- The calculated bias-corrected ace estimate.
Limitations of ACE Bias Corrected
The output is an estimate tied to the stated model and coefficients; it is not a direct measurement and should retain that label when reported.
Alternative or Complementary measurements
Retain the original Observed species, Rare species, Individuals in rare species, Singleton species, and Rare-frequency moment values and their units alongside the result. Chao1 Bias Corrected is useful when you instead need to compute the documented bias-corrected Chao1 estimate as observed species plus singletons times singletons minus one divided by two times doubletons plus one. ACE Proxy Estimator provides another view by helping you compute the singleton-doubleton proxy Sobs + F1 squared divided by 2 F2, substituting one when F2 is zero. This is not the full abundance-based coverage estimator, which requires the rare-species frequency distribution.
References
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Species richness — Wikipedia contributors
Similar or alternative tools
- Chao1 Bias Corrected
Compute the documented bias-corrected Chao1 estimate as observed species plus singletons times singletons minus one divided by two times doubletons plus one.
- ACE Proxy Estimator
Compute the singleton-doubleton proxy Sobs + F1 squared divided by 2 F2, substituting one when F2 is zero. This is not the full abundance-based coverage estimator, which requires the rare-species frequency distribution.
- Rarefied Species Curve Point
Estimate a rarefied species count with a documented half-saturation form: species total times sample over sample plus half-saturation, where the half-saturation defaults to the total individual count rounded up to its half.