Sampled-in-Bin Occurance Normalizer

Normalize sampled-in-bin occurrence counts by measured rock exposure and caller recovery probability, not by unequal bin duration alone; no unsampled-bin imputation.

Description

Occurrence density depends on sampled rock exposure and recovery probability.

Occurrence density depends on sampled rock exposure and recovery probability. Unequal bin durations alone cannot supply that denominator.

Normalize sampled-in-bin occurrence counts by measured rock exposure and caller recovery probability, not by unequal bin duration alone; no unsampled-bin imputation.

When to use Sampled-in-Bin Occurance Normalizer

Use this tool to normalize sampled-in-bin occurrence counts by measured rock exposure and caller recovery probability, not by unequal bin duration alone; no unsampled-bin imputation.

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

How to use Sampled-in-Bin Occurance Normalizer and understand its results

Prepare the fossil measurements or occurrence records and the chosen calibration parameters. Retain the stated coordinate, age and measurement conventions.
Enter sampledOccurrenceCounts, sampledRockVolumesM3, recoveryProbabilities using the field table and calculation rules, then run the tool.
Read detectionAdjustedOccurrencesPerM3, pooledAdjustedOccurrencesPerM3. The explanation below defines the units, signs, ordering and any flags or placeholder values.
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 field	Meaning	Value type; see rules below	Requirement
sampledOccurrenceCounts	Sampled occurrence counts	list of number	Required
sampledRockVolumesM3	Sampled rock volumes m3	list of number	Required
recoveryProbabilities	Recovery probabilities	list of number	Required

Align nonnegative integer counts, positive rock volumes and recovery probabilities in (0,1]. Return local adjusted densities and summed adjusted counts divided by summed volumes.^[1]

Paired lists must be nonempty and have equal lengths.

adjusted occurrences/m³ = count/(recovery probability × sampled volume)

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

Output field	Meaning	Value type
detectionAdjustedOccurrencesPerM3	Detection adjusted occurrences per m3	list of number
pooledAdjustedOccurrencesPerM3	Pooled adjusted occurrences per m3	number

json

{
  "input": {
    "sampledOccurrenceCounts": [
      10,
      20,
      0
    ],
    "sampledRockVolumesM3": [
      1,
      4,
      2
    ],
    "recoveryProbabilities": [
      0.5,
      1,
      0.25
    ]
  },
  "output": {
    "detectionAdjustedOccurrencesPerM3": [
      20,
      5,
      0
    ],
    "pooledAdjustedOccurrencesPerM3": 5.714285714285714
  }
}

Limitations and assumptions

No unsampled-bin imputation or independently estimated recovery is provided.

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 Standing Diversity Through Time Binner: Bin range-through standing diversity using positive-duration half-open ranges on a supplied increasing forward-time axis, excluding endpoint-only touches; ranges do not prove continuous actual occupancy. For a complementary task, use Origination Rate per Lineage-Million-Year: Normalize observed origination events by explicit lineage-time exposure with an independent Poisson count standard error; no preservation correction or phylogenetic birth-rate inference.

References

Sampled-in-Bin Occurance Normalizer — tool.io

Similar or alternative tools

Standing Diversity Through Time Binner
Bin range-through standing diversity using positive-duration half-open ranges on a supplied increasing forward-time axis, excluding endpoint-only touches; ranges do not prove continuous actual occupancy.
Origination Rate per Lineage-Million-Year
Normalize observed origination events by explicit lineage-time exposure with an independent Poisson count standard error; no preservation correction or phylogenetic birth-rate inference.