Science & engineering

Irrigation catch can uniformity calculator

Compare lower-quarter distribution uniformity, Christiansen coefficient and measured rate from equal-weight catches, keeping zero readings in the calculation.

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Convert equal-area volume catches to depth when needed. Sort depths to select the lowest quarter, compare its mean with the overall mean and separately summarize absolute deviations.

Worked example comparison
ExampleOutputWhat to notice
Worked exampleLower-quarter distribution uniformity80 %Catches of 8, 10, 10 and 12 mm average 10 mm. The lowest-quarter mean is 8 mm, so DU is 80%; CU is 90%. A 30-minute test gives a mean rate of 20 mm/hour.
Perfectly even catchesLower-quarter distribution uniformity100 %Both DU and CU become 100%.
Equal-area volume modeLower-quarter distribution uniformity80 %At 100 cm² opening area, these volumes reproduce the depth example.

Check your understanding

Are zero catches removed?

No, all entered readings are retained.

Why must the count be a multiple of four?

It makes the equally weighted lower quarter unambiguous.

Behind the numbers

How this calculation works

Convert equal-area volume catches to depth when needed. Sort depths to select the lowest quarter, compare its mean with the overall mean and separately summarize absolute deviations.

THE FORMULADU (%) = lower-quarter mean / overall mean × 100; CU (%) = (1 − sum absolute deviations / (count × mean)) × 100

A worked example

Catches of 8, 10, 10 and 12 mm average 10 mm. The lowest-quarter mean is 8 mm, so DU is 80%; CU is 90%. A 30-minute test gives a mean rate of 20 mm/hour.

Good to know

Instructional comparison, not an audit pass/fail or watering recommendation. Use representative sampling; real audits generally need more than four cans. No wind, evaporation or soil correction.

Use equal collection weights

Every entered can has equal weight in the averages. Volume mode assumes the same opening area for all collectors, because one millilitre over different opening sizes represents different water depths.

Millilitres are cubic centimetres. Dividing by opening area gives centimetres of depth; multiplying by ten gives millimetres. Do not enter a diameter where the calculator asks for area.

The sprayer water catch calibration calculator adds convert equal-time water catches into nozzle flows, broadcast L/ha, population variation and individual deviations without calculating chemical dose. The drip irrigation emitter runtime calculator adds convert entered net water depth to gross litres and emitter runtime, split equal cycles and compare active time with an operating window.

The lower quarter is an explicit subset

The calculator requires a multiple of four catches so the lowest quarter contains a whole number of collectors. Sort all depths, including zeros, and average that lower group before dividing by the overall mean.

A zero catch is data rather than a missing value. Removing it would inflate uniformity. An all-zero set has no positive mean, so the ratio is undefined and the input is rejected.

Two coefficients describe different features

DU focuses on the lowest quarter. Christiansen’s coefficient uses absolute deviations across every catch; it can become negative for extreme distributions, and this page does not clip that mathematical result.

The mean application rate scales the observed depth by test duration. A target-runtime result refers to the mean only and does not promise that the driest spot reaches that target or that soil receives the collected water.

Use the result with the next measurement

The sprayer water catch calibration calculator examines nozzle outlet flow and coverage arithmetic. This catch-can comparison instead concerns water arriving at sampled positions, so its uniformity values answer a different question.

Instructional comparison, not an audit pass/fail or watering recommendation. Use representative sampling; real audits generally need more than four cans. No wind, evaporation or soil correction.

A few questions, answered

Are zero catches removed?

No, all entered readings are retained.

Why must the count be a multiple of four?

It makes the equally weighted lower quarter unambiguous.

Is a four-can example a field audit?

No, it illustrates arithmetic; representative audits need appropriate sampling.

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