Dynamic Topography Altimetry Residual Calculator

Same-datum altimetry minus independently supplied geoid AND mean dynamic topography, no geodesy transform/model acquisition or trend inference. 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

Altimetric dynamic-topography anomalies depend on compatible surface, geoid and mean-topography references.

Altimetric dynamic-topography anomalies depend on compatible surface, geoid and mean-topography references.1

This subtraction isolates a residual from already matched observations.

When to use Dynamic Topography Altimetry Residual 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 Dynamic Topography Altimetry Residual Calculator and understand its results

  1. Match the observation interval, units, datum, coordinate signs and model regime.
  2. Enter observedAltimetricSurfaceHeightsM, callerIndependentGeoidHeightsM, callerIndependentMeanDynamicTopographyM, using the field meanings and rules below, then run the tool.
  3. Read signedDynamicTopographyAnomaliesM. 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
observedAltimetricSurfaceHeightsMObserved altimetric surface heights mlist of numberRequired
callerIndependentGeoidHeightsMCaller independent geoid heights mlist of numberRequired
callerIndependentMeanDynamicTopographyMCaller independent mean dynamic topography mlist of numberRequired

Use nonempty aligned finite signed values sharing a datum. Subtract geoid and mean dynamic topography from each sea-surface height. No reference model is downloaded or datum transformed.

residual_i=surface_i−geoid_i−meanDynamicTopography_i

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

Output fieldMeaningValue type
signedDynamicTopographyAnomaliesMSigned dynamic topography anomalies m; preserve the subtraction order and sign defined in the mechanicslist of number
json
{
  "input": {
    "observedAltimetricSurfaceHeightsM": [
      10,
      20
    ],
    "callerIndependentGeoidHeightsM": [
      9,
      18
    ],
    "callerIndependentMeanDynamicTopographyM": [
      0.5,
      1
    ]
  },
  "output": {
    "signedDynamicTopographyAnomaliesM": [
      0.5,
      1
    ]
  }
}

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 Geostrophic Current From Slope Calculator: Geostrophic surface currents balance a sea-surface pressure gradient with the Coriolis effect. For a complementary comparison, use Local vs Global Sea Level Split Calculator: Relative sea level combines ocean-level change and vertical land movement.

References

  1. Dynamic Topography Altimetry Residual Calculator — tool.io

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