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Research article - Peer-reviewed, 2012

Compositional analysis for an unbiased measure of soil aggregation

Parent LE, de Almeida CX, Hernandes A, Egozcue JJ, Gülser C, Bolinder MA, Kätterer Thomas, Andrén O, Parent SE, Anctil F, Centurion JF, Natale W


Soil aggregation is an index of soil structure measured by mean weight diameter (MWD) or scaling factors often interpreted as fragmentation fractal dimensions (D-f). However, the MWD provides a biased estimate of soil aggregation due to spurious correlations among aggregate-size fractions and scale-dependency. The scale-invariant D-f is based on weak assumptions to allow particle counts and sensitive to the selection of the fractal domain, and may frequently exceed a value of 3, implying that D-f is a biased estimate of aggregation. Aggregation indices based on mass may be computed without bias using compositional analysis techniques. Our objective was to elaborate compositional indices of soil aggregation and to compare them to MWD and D-f using a published dataset describing the effect of 7 cropping systems on aggregation. Six aggregate-size fractions were arranged into a sequence of D-1 balances of building blocks that portray the process of soil aggregation. Isometric log-ratios (ilrs) are scale-invariant and orthogonal log contrasts or balances that possess the Euclidean geometry necessary to compute a distance between any two aggregation states, known as the Aitchison distance (A(x,y)). Close correlations (r>0.98) were observed between MWD, D-f, and the ilr when contrasting large and small aggregate sizes. Several unbiased embedded ilrs can characterize the heterogeneous nature of soil aggregates and be related to soil properties or functions. Soil bulk density and penetrater resistance were closely related to A(x,y) with reference to bare fallow. The A(x,y) is easy to implement as unbiased index of soil aggregation using standard sieving methods and may allow comparisons between studies. (C) 2012 Elsevier B.V. All rights reserved.


Mean weight diameter; Fractal models; Compositional data; Isometric log ratios; Balances between aggregate-size fractions; Data amalgamation

Published in

2012, volume: 179-180, pages: 123-131

Authors' information

Parent, Léon-Étienne
de Almeida, Cinara X.
Hernandes, Amanda
Egozcue, Juan J.
Gulser, Coskun
Swedish University of Agricultural Sciences, Department of Soil and Environment
Swedish University of Agricultural Sciences, Department of Soil and Environment
Andrén, Olof
Swedish University of Agricultural Sciences, Department of Soil and Environment
Parent, Serge E.
Anctil, Francois
Centurion, Jose F.
Natale, William

UKÄ Subject classification

Environmental Sciences
Agricultural Science

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