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Multivariate Statistical Analysis of Potassium and Chloride Redistribution from a Line-source Sprinkler Experiment

Dep. of Health and Environmental Sciences, Dow Chemical Co., Midland, MI 48674

J. W. Biggar and D. R. Nielsen

Dep. of Land, Air, and Water Resources

R. H. Shumway

Div. of Statistics, Univ. of California, Davis, CA 95616

* Corresponding author.

ABSTRACT

Water treatment effects on K and Cl redistribution in a field soil were quantified using a particular multivariate analysis of variance method, profile analysis. A field experiment was conducted using the line-source sprinkler system for the determination of water treatment effects on K and Cl redistribution through comparisons of K and Cl mean redistribution profiles. For a water treatment, the solute mean redistribution profile is obtained by averaging individual concentration-with-depth profiles from 25 field locations. Five water treatments covered a range of cumulative applied water and solute redistribution times equal to 110 to 450 mm and 27 to 305 d, respectively. Three of the water treatments resulted from the sprinkler system and two from rainfall. Soil profiles were sampled at depth intervals of 0 to 15, 15 to 30, 30 to 60, 60 to 90, and 90 to 120 cm. Samples were analyzed for water soluble K and Cl, and gravimetric water content. A logarithm transformation of the K and Cl data was sufficient for approximate population multivariate normality. Profile analysis identified the water treatment effects of parallelism among the ln K mean redistribution profiles, and symmetry and coincidence among the ln Cl mean redistribution profiles. Identification of specific effects among the mean profiles amounted to the determination of kinematic similarity in K and Cl redistribution. Comparisons of mean profiles corresponding to the depth variables were also analyzed. Profile analysis fills a void in the quantification of water treatment effects on solute redistribution not filled by other data analysis procedures.

Contribution from the Dep. of Land, Air, and Water Resources, Univ. of California, Davis.

Received for publication July 13, 1987.