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Published online 25 August 2005
Published in Soil Sci Soc Am J 69:1565-1571 (2005)
DOI: 10.2136/sssaj2004.0290
© 2005 Soil Science Society of America
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Brittle Fracture of Soil Aggregates

Weibull Models and Methods of Parameter Estimation

L. Munkholma,* and E. Perfectb

a Dep. of Agroecology, Danish Institute of Agricultural Sciences, Research Centre Foulum, P.O. Box 50, DK-8830 Tjele, Denmark
b Dep. of Earth and Planetary Sciences, Univ. of Tennessee, 1412 Circle Dr., Knoxville, TN 37996



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Fig. 1. Kolmogorov D values estimated for the different methods using data for the (A) Bygholm, (B) Maury, and (C) Karnak soils. LIN-2 = linear regression, two-parameter Weibull model; NLIN-2 = nonlinear regression, two-parameter Weibull model; ML-2 = maximum likelihood, two-parameter Weibull model; NLIN-3 = nonlinear regression, three-parameter Weibull model; ML-3 = maximum likelihood, three-parameter Weibull model. Bars indicate standard error of mean. Columns with the same letter within a soil are not significantly different at P < 0.05 according to t test.

 


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Fig. 2. F-values for effect of (A) treatment and (B) size determined in analysis of variance for the {alpha} parameter estimated by the different methods for the Maury soil. LIN-2 = linear regression, two-parameter Weibull model; NLIN-2 = nonlinear regression, two-parameter Weibull model; ML-2 = maximum likelihood, two-parameter Weibull model; NLIN-3 = nonlinear regression, three-parameter Weibull model; ML-3 = maximum likelihood, three-parameter Weibull model.

 





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