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This article in SSSAJ

  1. Vol. 59 No. 1, p. 83-87
    Received: Dec 21, 1993

    * Corresponding author(s):
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Linear and Nonlinear Estimates of Fractal Dimension for Soil Aggregate Fragmentation

  1. V. Rasiah ,
  2. E. Perfect and
  3. B. D. Kay
  1. Research Station, Box 1030, Swift Current, SK, Canada S9H 3X2
    Dep. of Land Resource Science, Univ. of Guelph, Guelph, ON, Canada N1G 2W1



Estimates of nonlinear parameters may vary with the fitting procedure (linear or nonlinear) used. The objectives of this study were to compare (i) values of the fractal dimension, D, and the constant, k, obtained using linear (defined D1 and k1) and nonlinear (defined Dnl and knl) fitting procedures and (ii) the sensitivity of D1, Dnl, k1, and knl to variations in cropping and tillage practices and soil properties. Using aggregate mass-size distribution data, from five different soils under two cropping and two tillage systems, obtained after wet sieving, 90 values were obtained for each of D1, Dnl, knl, and kl. The nonexistence of a 1:1 relation between Dnl and D1 indicated that the population of Dnl was different from that of D1. A similar trend was observed between knl and k1. The standard error of the estimates of Dnl was less than that of D1. Soil properties and cropping and tillage systems accounted for 84% of the variability in Dnl, 87% of knl, 81% of D1, and 46% of k1. The estimates of Dnl are accurate and can be predicted with greater confidence than those obtained using the linear procedure.

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