Geology Dendrochronology Cross Dating Calculator

Bounded actual ring-width candidate crossdating Pearson correlation; tied offsets retained, chronology/authenticity not established. 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

Crossdating compares a sample series with candidate windows in a reference chronology.

Crossdating compares a sample series with candidate windows in a reference chronology.1

Correlation can rank the supplied offsets, but independent replication and biological context are needed before assigning a calendar placement. Use this tool to calculate dendrochronology cross dating from the supplied measurements and assumptions.

When to use Geology Dendrochronology Cross Dating Calculator

Use this tool to calculate dendrochronology cross dating 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 Dendrochronology Cross Dating Calculator and understand its results

  1. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
  2. Enter sampleWidths, masterWidths, callerCandidateOffsets, using the field meanings and rules below, then run the tool.
  3. Read candidateCorrelations, bestOffsets. 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
sampleWidthsSample widthslist of numberRequired
masterWidthsMaster widthslist of numberRequired
callerCandidateOffsetsCaller candidate offsetslist of numberRequired

Enter a sample of 3–128 finite values, a master series of at most 256 values and at most 128 integer candidate offsets. Each offset must address a complete sample-length window. Compute Pearson correlation for each window, requiring variance in both compared series, then return all offsets exactly tied for the maximum in caller order. Duplicated offsets are not removed. An empty offset list returns empty correlations and best offsets. The tool accepts finite signed series and does not infer calendar dates or automatically choose candidate windows.

correlation_j=Σ(sample−meanSample)(masterWindow_j−meanWindow_j)/√[Σ(sample−meanSample)²Σ(window_j−meanWindow_j)²]

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

Output fieldMeaningValue type
candidateCorrelationsCandidate Correlations; follow the units, sign, ordering and evidence convention stated abovelist of number
bestOffsetsBest Offsets; follow the units, sign, ordering and evidence convention stated abovelist of number
json
{
  "input": {
    "sampleWidths": [
      1,
      2,
      3
    ],
    "masterWidths": [
      0,
      1,
      2,
      3,
      0
    ],
    "callerCandidateOffsets": [
      0,
      1,
      2
    ]
  },
  "output": {
    "candidateCorrelations": [
      1,
      1,
      -0.6546536707079771
    ],
    "bestOffsets": [
      0,
      1
    ]
  }
}

Limitations and assumptions

Correlation can rank the supplied offsets, but independent replication and biological context are needed before assigning a calendar placement. 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 Dendrochronology Ring Width Index Calculator for this related task: A ring-width index compares an observed growth measurement with an independently established expected value.

Use Geology Paleomagnetic Fold Test Calculator when its separate inputs and assumptions fit the question: A paleomagnetic fold test compares direction clustering across independently generated unfolding trials.

References

  1. Geology Dendrochronology Cross Dating Calculator — tool.io

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