Atlantic Multidecadal Window Average Calculator

Overlap-duration weighted independently precomputed Atlantic anomalies with explicit source/baseline and reported observed coverage, gaps not imputed and no annual forecast. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

A multidecadal index average depends on the anomaly baseline and the amount of time actually observed.

A multidecadal index average depends on the anomaly baseline and the amount of time actually observed.1

An overlap-duration average leaves gaps visible instead of filling missing records.

When to use Atlantic Multidecadal Window Average Calculator

Use this tool to calculate or review the supplied observations under the stated rules. Match the observation interval, units, datum, coordinate signs and model regime.

How to use Atlantic Multidecadal Window Average Calculator and understand its results

  1. Match the observation interval, units, datum, coordinate signs and model regime.
  2. Enter observedWindowStartsYears, observedWindowEndsYears, observedAtlanticSstAnomaliesC, callerWindowStartYear, callerWindowEndYear, using the field meanings and rules below, then run the tool.
  3. Read coverageWeightedAtlanticAnomalyC, coveredWindowYears. Inspect nested result fields where present, and review unknown records separately from known matches.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
observedWindowStartsYearsObserved window starts yearslist of numberRequired
observedWindowEndsYearsObserved window ends yearslist of numberRequired
observedAtlanticSstAnomaliesCObserved atlantic sst anomalies clist of numberRequired
callerWindowStartYearCaller window start yearnumberRequired
callerWindowEndYearCaller window end yearnumberRequired

Supply nonempty aligned intervals and finite anomalies. Starts strictly increase, each start<end, and intervals must not overlap; adjoining endpoints are allowed. Require queryStart≤queryEnd and positive observed overlap. Weight each anomaly by max(0,min(end,queryEnd)−max(start,queryStart)); return the average and covered duration.

mean=Σ overlap_i anomaly_i/Σ overlap_i

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
coverageWeightedAtlanticAnomalyCCoverage weighted atlantic anomaly cnumber
coveredWindowYearsCovered window yearsnumber
json
{
  "input": {
    "observedWindowStartsYears": [
      2000,
      2001
    ],
    "observedWindowEndsYears": [
      2001,
      2003
    ],
    "observedAtlanticSstAnomaliesC": [
      1,
      2
    ],
    "callerWindowStartYear": 2000,
    "callerWindowEndYear": 2002
  },
  "output": {
    "coverageWeightedAtlanticAnomalyC": 1.5,
    "coveredWindowYears": 2
  }
}

Limitations and assumptions

The stated observation or model covers only the supplied record and reference regime. It does not fill missing measurements, supply uncertainty estimates or produce a validated forecast.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries; ordinary string lists allow at most 128 strings of 128 UTF-16 units each; numeric matrices allow at most 128 rows and 128 columns, subject to narrower requirements above.

Alternative or Complementary methods

For a related step, use Mean Sea Level Trend MM Year Calculator: A sea-level trend summarizes change over the observed record in a chosen vertical datum. For a complementary comparison, use Indian Ocean Dipole Gradient Classifier: The Indian Ocean Dipole gradient compares western and eastern sea-surface-temperature anomalies on a matched baseline.

References

  1. Atlantic Multidecadal Window Average Calculator — tool.io

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