Relationships Among Sprinkler Uniformity Measures

by Jack G. Beale,
David T. Howell,

Serial Information: Journal of the Irrigation and Drainage Division, 1966, Vol. 92, Issue 1, Pg. 41-48

Document Type: Journal Paper


From among the many different measures of uniformity (or nonuniformity) of application of water by sprinkler irrigation, five are defined. They have been termed the Christiansen coefficient of uniformity, the coefficient of variation, the Wilcox-Swales uniformity coefficient, the USDA pattern efficiency, and the higher pattern efficiency. These are all effectively measures of dispersion of precipitation about a mean. The coefficient of variation and the Wilcox-Swales uniformity coefficient are complementary. No simple relationships between the other measures can be derived, but it is shown that some limited experiments support the notion that the relationships are approximately those that would exist if the precipitation were normally distributed even though it seldom is.

Subject Headings: Precipitation | Irrigation water | Sprinkler irrigation

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