Agriculture Irrigation Uniformity Coefficient Calculator

Area-weighted Christiansen absolute-deviation uniformity, signed poor-uniformity values retained; not low-quarter DU. 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

An irrigation uniformity coefficient compares deviations with a weighted mean catch.

An irrigation uniformity coefficient compares deviations with a weighted mean catch.1

A mathematical uniformity measure does not establish application efficiency or adequate crop water. Use Agriculture Irrigation Uniformity Coefficient Calculator to evaluate the supplied inputs under the model explained below.

When to use Agriculture Irrigation Uniformity Coefficient Calculator

Use Agriculture Irrigation Uniformity Coefficient Calculator to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Agriculture Irrigation Uniformity Coefficient Calculator and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Observed irrigation catch depths mm, Caller catch area weights using the field table and validation rules below, then run the tool.
  3. Read Area weighted christiansen cu fraction; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
Input fieldMeaningValue typeRequirement
observedIrrigationCatchDepthsMmObserved irrigation catch depths mmarray of numberRequired; constraints below
callerCatchAreaWeightsCaller catch area weightsarray of numberRequired; constraints below

Enter nonempty aligned nonnegative catch depths in mm and positive area weights. Normalize weights to sum 1, require positive weighted mean depth, and return 1−weightedMeanAbsoluteDeviation/mean. The result is a fraction, not percent, and can be negative for very uneven catches; it is not clamped. No desired threshold, adequacy or irrigation-loss estimate is chosen.

weightedCU=1−ΣnormalizedWeight×abs(depth−weightedMean)/weightedMean

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
areaWeightedChristiansenCuFractionArea weighted christiansen cu fractionnumber
json
{
  "input": {
    "observedIrrigationCatchDepthsMm": [
      1,
      2,
      3
    ],
    "callerCatchAreaWeights": [
      1,
      1,
      2
    ]
  },
  "output": {
    "areaWeightedChristiansenCuFraction": 0.6666666666666667
  }
}

Limitations and assumptions

A mathematical uniformity measure does not establish application efficiency or adequate crop water. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Agriculture Crop Coefficient Kc Calculator for a related task: A crop coefficient compares crop ET with matched reference ET.

Use Agriculture Yield Response To Water Ky Calculator for a related task: Yield response to water compares relative yield loss with a matched evapotranspiration deficit.

References

  1. Agriculture Irrigation Uniformity Coefficient Calculator — tool.io

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