Net Diversification Rate

Calculate signed event/exposure net diversification with independent origination/extinction counting error; unlike log endpoint richness growth, this requires explicit event and lineage-time inventories.

Description

Net diversification is the signed difference between origination and extinction event rates.

Net diversification is the signed difference between origination and extinction event rates. Exposure and independent count error must be explicit.

Calculate signed event/exposure net diversification with independent origination/extinction counting error; unlike log endpoint richness growth, this requires explicit event and lineage-time inventories.

When to use Net Diversification Rate

Use this tool to calculate signed event/exposure net diversification with independent origination/extinction counting error; unlike log endpoint richness growth, this requires explicit event and lineage-time inventories.

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

How to use Net Diversification Rate 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 originationEventCount, extinctionEventCount, lineageTimeExposureMyr using the field table and calculation rules, then run the tool.
  3. Read originationRatePerLineageMyr, extinctionRatePerLineageMyr, signedNetDiversificationRatePerLineageMyr, independentNetRateStandardError. 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
originationEventCountOrigination event countintegerRequired
extinctionEventCountExtinction event countintegerRequired
lineageTimeExposureMyrLineage time exposure myrnumberRequired

Use nonnegative integer event counts and positive exposure. Return both rates, signed difference and √(originations + extinctions)/exposure as independent-count standard error.1

net rate = (originations − extinctions)/lineage-time exposure

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

Output fieldMeaningValue type
originationRatePerLineageMyrOrigination rate per lineage myrnumber
extinctionRatePerLineageMyrExtinction rate per lineage myrnumber
signedNetDiversificationRatePerLineageMyrSigned net diversification rate per lineage myrnumber
independentNetRateStandardErrorIndependent net rate standard errornumber
json
{
  "input": {
    "originationEventCount": 10,
    "extinctionEventCount": 6,
    "lineageTimeExposureMyr": 20
  },
  "output": {
    "originationRatePerLineageMyr": 0.5,
    "extinctionRatePerLineageMyr": 0.3,
    "signedNetDiversificationRatePerLineageMyr": 0.2,
    "independentNetRateStandardError": 0.2
  }
}

Limitations and assumptions

This differs from endpoint-richness log growth and excludes correlated events or preservation correction.

Numbers and computed results must be finite; overflow produces an error. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

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. For a complementary task, use Extinction Magnitude Percent Taxa: Compare distinct before/after observed taxa with comparable detection, separating lost/surviving/new records; absent observations do not themselves establish biological extinction.

References

  1. Net Diversification Rate — tool.io

Similar or alternative tools

  • 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.

  • Extinction Magnitude Percent Taxa

    Compare distinct before/after observed taxa with comparable detection, separating lost/surviving/new records; absent observations do not themselves establish biological extinction.

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