Good's U Sample Coverage

Compute Good’s U=1-f1/N on positive observed abundance counts; coverage estimates sampled individual probability mass, not species completeness or a guarantee that rare taxa were found.

Description

Good's coverage estimates the sampled probability mass represented by observed taxa.

Good's coverage estimates the sampled probability mass represented by observed taxa. Singletons inform that estimate.

Compute Good’s U=1-f1/N on positive observed abundance counts; coverage estimates sampled individual probability mass, not species completeness or a guarantee that rare taxa were found.

When to use Good's U Sample Coverage

Use this tool to compute Good’s U=1-f1/N on positive observed abundance counts; coverage estimates sampled individual probability mass, not species completeness or a guarantee that rare taxa were found.

Prepare the fossil measurements or occurrence records and the chosen calibration parameters. Retain the stated coordinate, age and measurement conventions.

How to use Good's U Sample Coverage and understand its results

  1. Prepare the fossil measurements or occurrence records and the chosen calibration parameters. Retain the stated coordinate, age and measurement conventions.
  2. Enter positiveTaxonAbundances using the field table and calculation rules, then run the tool.
  3. Read singletonTaxonCount, totalIndividuals, goodsSampleCoverage. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
positiveTaxonAbundancesPositive taxon abundanceslist of numberRequired

Supply a nonempty list of positive integer abundances. Count taxa with abundance one, sum individuals and return the coverage fraction.1

U = 1 − singleton taxon count/total individuals

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
singletonTaxonCountSingleton taxon countnumber
totalIndividualsTotal individualsnumber
goodsSampleCoverageGoods sample coveragenumber
json
{
  "input": {
    "positiveTaxonAbundances": [
      1,
      2,
      3,
      1
    ]
  },
  "output": {
    "singletonTaxonCount": 2,
    "totalIndividuals": 7,
    "goodsSampleCoverage": 0.7142857142857143
  }
}

Limitations and assumptions

Coverage is not species completeness or a guarantee of finding rare taxa.

Numbers and computed results must be finite; overflow produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Shareholder Quorum Subsampling Coverage: Audit caller taxon draw order to a simple observed-frequency share quorum; explicitly not a full randomized shareholder-quorum subsampling algorithm with dominant-taxon and singleton coverage conventions. For a complementary task, use Collector Curve Species Accumulation Extrapolator: Fit a reciprocal-linearized Michaelis–Menten collector curve and flag prediction extrapolation; distinct from existing one-segment new-species/effort slope, with no guaranteed asymptotic true diversity.

References

  1. Good's U Sample Coverage — tool.io

Similar or alternative tools

  • Shareholder Quorum Subsampling Coverage

    Audit caller taxon draw order to a simple observed-frequency share quorum; explicitly not a full randomized shareholder-quorum subsampling algorithm with dominant-taxon and singleton coverage conventions.

  • Collector Curve Species Accumulation Extrapolator

    Fit a reciprocal-linearized Michaelis–Menten collector curve and flag prediction extrapolation; distinct from existing one-segment new-species/effort slope, with no guaranteed asymptotic true diversity.

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