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Spatial Dependence and Interpolation of Soil Properties in West Sumatra, Indonesia: I. Anisotropic Variation¹

ABSTRACT

Spatial and temporal interaction of soil-forming factors and processes determine the distribution of soil properties within the landscape. This study relates anisotropic spatial dependence of particle size fractions, pH and 25% HCl-extractable P to directional differences in the main soil-forming factors in Sitiung, West Sumatra, Indonesia. Linear geometric anisotropic models were fitted to pooled directional semivariances for each of these properties. Directions of maximum variation coincided with the main southwest to northeast axis of volcanic tuff fallout, deposition of alluvium and the general sequence of soil weathering in the region. Anisotropy ratios ranged from 1.5 for subsoil pH to 5.2 for subsoil HCl-P. Topsoil textural components and pH were more variable than in subsoils, having larger sample variances and larger anisotropy ratios. Punctual kriging of topsoil sand content using the linear geometric anisotropic model resulted in low estimation variances in densely sampled areas where weighting of neighbor samples by direction as well as distance took most effect. Quantitative analysis of anisotropic spatial dependence of soil properties can aid interpretation of soil genesis. Estimates of anisotropic spatial dependence can also be incorporated into kriging interpolation for optimal, unbiased spatial estimation with minimum variance.

¹ Journal Series no. 000000 of the Hawaii Institute of Tropical Agriculture and Human Resources.

² Former Graduate Research Assistant, Associate Professor, and Professor of Soil Science, respectively, Dep. of Agronomy and Soil Science, Univ. of Hawaii. The senior author is now Soil Scientist, Soil Bureau, DSIR, Christchurch, New Zealand.

Received for publication November 4, 1985.

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