Geology Chemostratigraphy Carbon Isotope Excursion Calculator

Observed baseline-relative carbon isotope excursions and actual sampled zero-crossings, no named global-event correlation. Caller independently establishes matching units, evidence, method edition and applicability; output is not compliance, diagnosis, work-safety approval, geological identity or validated hazard prediction.

Description

An isotope excursion is a signed difference between observed values and an independently established baseline.

An isotope excursion is a signed difference between observed values and an independently established baseline.1

Zero crossings mark where the submitted linearly interpolated residual changes sign, not a unique stratigraphic event correlation. Use this tool to calculate chemostratigraphy carbon isotope excursion from the supplied measurements and assumptions.

When to use Geology Chemostratigraphy Carbon Isotope Excursion Calculator

Use this tool to calculate chemostratigraphy carbon isotope excursion from the supplied measurements and assumptions. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.

How to use Geology Chemostratigraphy Carbon Isotope Excursion Calculator and understand its results

  1. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
  2. Enter sampleDepths, observedDelta13C, independentBaselineDelta13C, using the field meanings and rules below, then run the tool.
  3. Read signedExcursions, zeroCrossingDepths. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
sampleDepthsSample depthslist of numberRequired
observedDelta13CObserved delta13 clist of numberRequired
independentBaselineDelta13CIndependent baseline delta13 clist of numberRequired

Enter strictly increasing sampled coordinates with aligned measured and independent baseline delta13C values. Subtract baseline from each measured value, then find every exact-zero knot and strict sign-change crossing under linear interpolation. Return signed residuals and crossing coordinates, without smoothing or event identification.

excursion_i=observed_i−baseline_i; crossings=piecewiseLinearZeros(coordinates,excursions)

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
signedExcursionsSigned Excursions; follow the units, sign, ordering and evidence convention stated abovelist of number
zeroCrossingDepthsZero Crossing Depths; follow the units, sign, ordering and evidence convention stated abovelist of number
json
{
  "input": {
    "sampleDepths": [
      0,
      1,
      2
    ],
    "observedDelta13C": [
      1,
      -1,
      1
    ],
    "independentBaselineDelta13C": [
      0,
      0,
      0
    ]
  },
  "output": {
    "signedExcursions": [
      1,
      -1,
      1
    ],
    "zeroCrossingDepths": [
      0.5,
      1.5
    ]
  }
}

Limitations and assumptions

Zero crossings mark where the submitted linearly interpolated residual changes sign, not a unique stratigraphic event correlation. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Geology Varve Thickness Calculator for this related task: A varve is an independently identified annual sedimentary layer or layer pair under the adopted counting convention.

Use Geology Biostratigraphy Zone Thickness Calculator when its separate inputs and assumptions fit the question: A biozone thickness can be bounded when both its base and top have independent coordinate intervals.

References

  1. Geology Chemostratigraphy Carbon Isotope Excursion Calculator — tool.io

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