Selfsimilarity of pedotaxa distributions at the planetary scale: A multifractal approach

Caniego, J.; Ibáñez, Juan José; Martínez, Fernando San José

doi:10.1016/j.geoderma.2006.03.007

Cited by 26 publications

(21 citation statements)

References 47 publications

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“…Caniego et al, 2006;Paz-Ferreiro et al, 2010) degrees of heterogeneity are shown in the selected Rényi spectra (Fig. 6), which correspond to CV values of 24.5 % (profile# 43), 30.7 % (profile #1) and 60.0 % (profile #21).…”

Section: Multifractal Analysis Of Depth-dependent Soil Penetration Rementioning

confidence: 89%

“…Over the past few decades scaling analysis, such as fractal and multifractal analysis have been applied to characterize soil properties and processes, and many studies have revealed scale-dependent patterns of soil variability from very short distances (e.g. Pachepsky et al, 1996;PazFerreiro et al, 2010) to geomorphologic landscapes units (Biswas et al, 2012), or even continents and the whole planetary scale (Caniego et al, 2006). Both fractal and multifractal scaling assume a hierarchical distribution of mass in space so that the whole results from the union of similar subsets.…”

Section: G M Siqueira Et Al: Multifractal Analysis Of Soil Prmentioning

confidence: 99%

“…To assess the heterogeneity of the measure, µ i , the space R D can be split into n boxes of the same linear size δ (equal intervals in R 1 ) by sequential divisions (e.g. Evertsz and Mandelbrot, 1992;Caniego et al, 2006). Considering a one-dimensional profile of length L, this involves successive partitioning into k stages (k = 1, 2, 3 .…”

Section: Multifractal Analysis and Generalized Hurst Exponentmentioning

confidence: 99%

“…The entropy dimension, D 1 , describes the diversity of the measure (e.g. Caniego et al, 2006;Paz-Ferreiro et al, 2010), so low D 1 values reflect the fact that most of the measure concentrates in a small size domain, whereas high values of D 1 indicate that the measure is more evenly distributed. The Hurst exponent, H , identifies persistence or long-range autocorrelation (e.g.…”

Section: Multifractal Analysis Of Depth-dependent Soil Penetration Rementioning

confidence: 99%

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Multifractal analysis of vertical profiles of soil penetration resistance at the field scale

Siqueira

Silva

Montenegro

et al. 2013

Nonlin. Processes Geophys.

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Abstract. Soil penetration resistance (PR) is widely used as an indirect indicator of soil strength. Soil PR is linked to basic soil properties and correlated to root growth and plant production, and as such it is extensively used as a practical tool for assessing soil compaction and to evaluate the effects of soil management. This study investigates how results from multifractal analysis can quantify key elements of depth-dependent soil PR profiles and how this information can be used at the field scale. We analysed multifractality of 50 PR vertical profiles, measured from 0 to 60 cm depth and randomly located on a 6.5 ha sugar cane field in northeastern Brazil. The scaling property of each profile was typified by singularity, and Rényi spectra estimated by the method of moments. The Hurst exponent was used to parameterize the autocorrelation of the vertical PR data sets. The singularity and Rènyi spectra showed that the vertical PR data sets exhibited a well-defined multifractal structure. Hurst exponent values were close to 1, ranging from 0.944 to 0.988, indicating strong persistence in PR variation with soil depth. Also, the Hurst exponent was negatively and significantly correlated to coefficient of variation (CV), skewness and maximum values of the depth-dependent PR. Multifractal analysis added valuable information to describe the spatial arrangement of depth-dependent penetrometer data sets, which was not taken into account by classical statistical indices. Multifractal parameters were mapped over the experimental field and compared with mean and maximum values of PR. Combination of spatial variability survey and multifractal analysis appear to be useful to manage soil compaction.

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Section: Multifractal Analysis Of Depth-dependent Soil Penetration Rementioning

confidence: 89%

Section: G M Siqueira Et Al: Multifractal Analysis Of Soil Prmentioning

confidence: 99%

Section: Multifractal Analysis and Generalized Hurst Exponentmentioning

confidence: 99%

Section: Multifractal Analysis Of Depth-dependent Soil Penetration Rementioning

confidence: 99%

See 2 more Smart Citations

Multifractal analysis of vertical profiles of soil penetration resistance at the field scale

Siqueira

Silva

Montenegro

et al. 2013

Nonlin. Processes Geophys.

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“…This implies that the spatial characterization of any region, from the highest to the lowest subdivision, requires data pertaining on a variable number of soil types that make up its natural soil cover. This characterization is possible because the number and weight of the relevant soil types can be evaluated (Caniego et al, 2006).…”

Section: Discussionmentioning

confidence: 99%

Landscape and soil regionalization in southern Brazilian Amazon and contiguous areas: methodology and relevance for ecological studies

Volkoff

Mello²,

Maia

et al. 2012

Sci. agric. (Piracicaba, Braz.)

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Soils of a large tropical area with differentiated landscapes cannot be treated uniformly for ecological applications. We intend to develop a framework based on physiography that can be used in regional applications. The study region occupies more than 1.1 million km 2 and is located at the junction of the savanna region of Central Brazil and the Amazon forest.It includes a portion of the high sedimentary Central Brazil plateau and large areas of mostly peneplained crystalline shield on the border of the wide inner-Amazon low sedimentary plain.A first broad subdivision was made into landscape regions followed by a more detailed subdivision into soil regions. Mapping information was extracted from soil survey maps at scales of 1:250000-1:500000. Soil units were integrated within a homogenized legend using a set of selected attributes such as taxonomic term, the texture of the B horizon and the associated vegetation. For each region, a detailed inventory of the soil units with their area distribution was elaborated. Ten landscape regions and twenty-four soil regions were recognized and delineated.Soil cover of a region is normally characterized by a cluster composed of many soil units. Soil diversity is comparable in the landscape and the soil regions. Composition of the soil cover is quantitatively expressed in terms of area extension of the soil units. Such geographic divisions characterized by grouping soil units and their spatial estimates must be used for regional ecological applications.

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Geodiversity and Geopedology in a Logarithmic Universe

Ibáñez

Brevik

2023

Geopedology

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Selfsimilarity of pedotaxa distributions at the planetary scale: A multifractal approach

Cited by 26 publications

References 47 publications

Multifractal analysis of vertical profiles of soil penetration resistance at the field scale

Multifractal analysis of vertical profiles of soil penetration resistance at the field scale

Landscape and soil regionalization in southern Brazilian Amazon and contiguous areas: methodology and relevance for ecological studies

Geodiversity and Geopedology in a Logarithmic Universe

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