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.
Description
Origination rates need lineage-time exposure, not merely elapsed time.
Origination rates need lineage-time exposure, not merely elapsed time. Independent Poisson counting gives a simple event-rate error estimate.
Normalize observed origination events by explicit lineage-time exposure with an independent Poisson count standard error; no preservation correction or phylogenetic birth-rate inference.
When to use Origination Rate per Lineage-Million-Year
Use this tool to normalize observed origination events by explicit lineage-time exposure with an independent Poisson count standard error; no preservation correction or phylogenetic birth-rate inference.
Prepare the fossil measurements or occurrence records and the chosen calibration parameters. Retain the stated coordinate, age and measurement conventions.
How to use Origination Rate per Lineage-Million-Year 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 originationCountsByInterval, lineageCountsAtRisk, intervalDurationsMyr using the field table and calculation rules, then run the tool.
- Read totalLineageMillionYearExposure, originationRatePerLineageMyr, poissonRateStandardError. 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 |
|---|---|---|---|
| originationCountsByInterval | Origination counts by interval | list of number | Required |
| lineageCountsAtRisk | Lineage counts at risk | list of number | Required |
| intervalDurationsMyr | Interval durations myr | list of number | Required |
Align integer event and lineage counts with positive durations and require positive total exposure. Return lineage-million-years, rate and √events divided by exposure.1
Paired lists must be nonempty and have equal lengths.
rate = total originations/Σ lineages at risk × interval Myr Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| totalLineageMillionYearExposure | Total lineage million year exposure | number |
| originationRatePerLineageMyr | Origination rate per lineage myr | number |
| poissonRateStandardError | Poisson rate standard error | number |
{
"input": {
"originationCountsByInterval": [
2,
4
],
"lineageCountsAtRisk": [
10,
20
],
"intervalDurationsMyr": [
1,
2
]
},
"output": {
"totalLineageMillionYearExposure": 50,
"originationRatePerLineageMyr": 0.12,
"poissonRateStandardError": 0.04898979485566356
}
}Limitations and assumptions
No preservation correction or phylogenetic birth-rate inference is performed.
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 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. For a complementary task, 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.
References
Similar or alternative tools
- 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.
- 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.