Evaporation Pan To Lake Coefficient

Infer a pan-to-lake coefficient from a matched fixed-area observed lake water budget; negative inferred evaporation/coefficient exposes condensation or missing fluxes rather than being forced to an empirical default.

Description

A matched lake water budget can infer evaporation, then compare it with an evaporation-pan observation.

A matched lake water budget can infer evaporation, then compare it with an evaporation-pan observation. A fixed lake area converts net volume exchanges into equivalent depth.1

The tool returns inferredLakeEvaporationDepthMm, panToLakeCoefficient. The computation uses supplied observations and parameters rather than acquiring measurements.

When to use Evaporation Pan To Lake Coefficient

Use this for the following task: Infer a pan-to-lake coefficient from a matched fixed-area observed lake water budget; negative inferred evaporation/coefficient exposes condensation or missing fluxes rather than being forced to an empirical default. Prepare observations and calibration parameters on the same unit and reporting basis.

How to use Evaporation Pan To Lake Coefficient and understand its results

  1. Prepare the measured quantities and supplied model parameters. Match the units and align paired lists before calculating.
  2. Enter lakeAreaM2, precipitationDepthMm, inflowVolumeM3, outflowVolumeM3, observedLakeStorageChangeM3, panEvaporationDepthMm according to the field table, then run the tool.
  3. Read inferredLakeEvaporationDepthMm, panToLakeCoefficient. Use the calculation below to interpret the selected mean or the model’s signs, units and comparison flags.
  4. Review the supplied assumptions and calibration before comparing or reporting the result.
Input fieldMeaningValue type and boundsRequirement
lakeAreaM2Lake area m2numberRequired
precipitationDepthMmPrecipitation depth mmnumberRequired
inflowVolumeM3Inflow volume m3numberRequired
outflowVolumeM3Outflow volume m3numberRequired
observedLakeStorageChangeM3Observed lake storage change m3numberRequired
panEvaporationDepthMmPan evaporation depth mmnumberRequired

Supply positive lake area and pan evaporation, nonnegative precipitation and exchange volumes, and signed storage change over the same period. Return the inferred depth and ratio.

lakeEvaporation mm=precipitation+1000×(inflow−outflow−storageChange)/area; coefficient=lakeEvaporation/panDepth

The symbols and boundary conditions refer to the supplied fields and the implementation described above.

Output fieldMeaningValue type
inferredLakeEvaporationDepthMmInferred lake evaporation depth mmnumber
panToLakeCoefficientPan to lake coefficientnumber
json
{
  "input": {
    "lakeAreaM2": 1000,
    "precipitationDepthMm": 2,
    "inflowVolumeM3": 1,
    "outflowVolumeM3": 0,
    "observedLakeStorageChangeM3": -2,
    "panEvaporationDepthMm": 10
  },
  "output": {
    "inferredLakeEvaporationDepthMm": 5,
    "panToLakeCoefficient": 0.5
  }
}

Limitations and assumptions

Negative inferred evaporation or coefficient is preserved. Missing groundwater, varying area and mismatched periods are not corrected, and no empirical default coefficient is substituted.

Numerical inputs must be finite. Input-shape and calculation checks do not establish measurement quality or the validity of a supplied calibration.

Alternative or Complementary methods

Choose Lake Evaporation Energy Balance Method when you need its operation: Estimate signed evaporation by a caller Bowen-ratio available-energy budget including storage/advected heat; negative results indicate condensation-model potential and missing fluxes are not diagnosed. Choose Stage Storage Volume Interpolation for the complementary operation: Interpolate storage for measured monotone stage/storage calibration within its observed bounds; no extrapolation, contour integration or invented lake geometry.

Background reference: Evaporation from the Interior of Lake Okeechobee, 2013–16.

References

  1. Evaporation from the Interior of Lake Okeechobee, 2013–16 — Shoemaker and Wu, U.S. Geological Survey

Similar or alternative tools

  • Lake Evaporation Energy Balance Method

    Estimate signed evaporation by a caller Bowen-ratio available-energy budget including storage/advected heat; negative results indicate condensation-model potential and missing fluxes are not diagnosed.

  • Stage Storage Volume Interpolation

    Interpolate storage for measured monotone stage/storage calibration within its observed bounds; no extrapolation, contour integration or invented lake geometry.

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