ANÁLISE MULTIFRACTAL DA RESISTÊNCIA DO SOLO À PENETRAÇÃO EM DIFERENTES PEDOFORMAS

Jairo Osvaldo Rodriguez  Leiva; Raimunda Alves  Silva; Ênio Farias de  França e Silva; Glecio Machado Siqueira

doi:10.1590/1983-21252021v34n119rc

Authors

Jairo Osvaldo Rodriguez Leiva Postgraduate Program in Biodiversity and Biotechnology-BIONORTE, Universidade Federal do Maranhão, São Luís, MA https://orcid.org/0000-0002-1803-2241
Raimunda Alves Silva Postgraduate Program in Biodiversity and Biotechnology-BIONORTE, Universidade Federal do Maranhão, São Luís, MA https://orcid.org/0000-0002-0380-8190
Ênio Farias de França e Silva Postgraduate Program in Agricultural Engineering, Universidade Federal Rural de Pernambuco, Recife, PE https://orcid.org/0000-0002-8652-503X
Glecio Machado Siqueira Postgraduate Program in Geography, Universidade Federal do Maranhão, São Luís, MA https://orcid.org/0000-0002-3513-2658

DOI:

https://doi.org/10.1590/1983-21252021v34n119rc

Keywords:

Scale heterogeneity. Precision agriculture. Soil compaction. Soil management. Spatial variability.

Abstract

Soils are highly variable across landscapes, which can be assessed and characterized according to scale, as well as fractal and multifractal concepts of scale. Thus, the objective of this study was to analyze the multifractality of the penetration resistance (PR) of vertical profiles from different slope forms (concave and convex). The experimental plot incorporated 44.75 ha, and the PR was measured at 70 sampling points in the 0-0.6 m layer, distributed in concave (Type A: 38 sampling points) and convex pedoforms (Type B: 32 sampling points). Data analysis was performed using the PR value (every 0.01 m depth) for each of the sampling points (PR_mean), and their respective maximum (PR_maximun) and minimum (PR_minimum) values. Multifractal analysis was performed to assess the changes in the structure, heterogeneity, and uniformity of the vertical profiles according to the scale, characterizing the partition function, generalized dimension, and singularity spectrum. The multifractal parameters of the generalized dimension and singularity spectrum demonstrated greater homogeneity and uniformity in the vertical PR profiles of pedoform B (convex) compared to those of pedoform A (concave). The minimum PR values in pedoform A (PR_minimum) showed the greatest scale heterogeneity, indicating that in terms of soil management, it is more relevant to monitor the minimum values than the maximum values. The fractal analysis allowed us to describe the heterogeneity of the data on scales not evaluated by conventional analysis methods, with high potential for use in precision agriculture and the delimitation of specific management zones.

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