Volume Change DHDT Area Integration Calculator

SignedareaintegralΣcellA×actualdh/dt,nonoverlapping completecoverage,not volume-areaallometry. Actual independent units,calibration,measurement definitions/coverage and model applicability;not a climate forecast,causal determination,geodesy operation or safe travel/design approval.

Description

An area integral of elevation-change rates estimates signed volume-change rate over a surveyed surface.

An area integral of elevation-change rates estimates signed volume-change rate over a surveyed surface.1

Cells must represent disjoint, complete coverage on a consistent datum and time basis.

When to use Volume Change DHDT Area Integration Calculator

Use this tool to apply the stated volume change dhdt area integration calculator operation with an explicit input and unit basis.

How to use Volume Change DHDT Area Integration Calculator and how it works

  1. Establish the measurement basis and units described above.
  2. Enter actualDisjointCellAreas, actualCellElevationRates and run the tool.
  3. Read result.value using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualDisjointCellAreasDisjoint cell areas, on the basis specified in the algorithm.array of numberrequired; dense; align related rows as specified; further conditions in the algorithm
actualCellElevationRatesCell elevation rates, on the basis specified in the algorithm.array of numberrequired; dense; align related rows as specified; further conditions in the algorithm

Require aligned nonempty finite arrays. Sum cell area times its elevation rate; the implementation does not establish physical area validity, disjointness or survey completeness.

volume/time = Σ cell area × elevation/time

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.valueSigned volume-change rate in area unit times elevation unit per time unit.number
json
{
  "input": {
    "actualDisjointCellAreas": [
      1,
      2
    ],
    "actualCellElevationRates": [
      2,
      -2
    ]
  },
  "output": {
    "result": {
      "value": -2
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use Elevation Change Rate DHDT Calculator. Surface elevation-change rate compares two observations on the same vertical datum.

For a related operation, use Geodetic Mass Balance Density Correction Calculator. Geodetic elevation change can contain nonmass firn compaction as well as thickness change associated with mass.

References

  1. Volume Change DHDT Area Integration Calculator — tool.io

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