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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 23, issue 4
Nonlin. Processes Geophys., 23, 205–213, 2016
https://doi.org/10.5194/npg-23-205-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Multifractal analysis in soil systems

Nonlin. Processes Geophys., 23, 205–213, 2016
https://doi.org/10.5194/npg-23-205-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 02 Aug 2016

Research article | 02 Aug 2016

Multifractal behaviour of the soil water content of a vineyard in northwest Spain during two growing seasons

José Manuel Mirás-Avalos1,2, Emiliano Trigo-Córdoba1, Rosane da Silva-Dias3, Irene Varela-Vila3, and Aitor García-Tomillo3 José Manuel Mirás-Avalos et al.
  • 1Estación de Viticultura e Enoloxía de Galicia, EVEGA-INGACAL, Ponte San Clodio s/n, 32428 Leiro, Ourense, Spain
  • 2Departamento de Riego, Centro de Edafología y Biología Aplicada del Segura, CEBAS-CSIC, Campus Universitario de Espinardo, 30100 Murcia, Spain
  • 3Área de Edafología y Química Agrícola, Facultad de Ciencias, Universidade da Coruña, Campus A Zapateira s/n, 15008 A Coruña, Spain

Abstract. Soil processes are characterized by a great degree of heterogeneity, which may be assessed by scaling properties. The aims of the current study were to describe the dynamics of soil water content at three depths in a vineyard under rain-fed and irrigation conditions and to assess the multifractality of these time data series. Frequency domain reflectometry (FDR) sensors were used for automatically monitoring soil water content in a vineyard located in Leiro (Ourense, northwest Spain). Data were registered at 30 min intervals at three depths (20, 40, and 60 cm) between 14 June and 26 August 2011 and 2012. Two treatments were considered: rain-fed and irrigation to 50 % crop evapotranspiration. Soil water content data series obeyed power laws and tended to behave as multifractals. Values for entropy (D1) and correlation (D2) dimensions were lower in the series from the irrigation treatment. The Hölder exponent of order zero (α0) was similar between treatments; however, the widths of the singularity spectra, f(α), were greater under irrigation conditions. Multifractality indices slightly decreased with depth. These results suggest that singularity and Rényi spectra were useful for characterizing the time variability of soil water content, distinguishing patterns among series registered under rain-fed and irrigation treatments.

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The current study aimed to describe the dynamics of soil water content at three depths in a vineyard under rain-fed and irrigation conditions and to assess the multifractality of these time data series. Soil water content data series obeyed power laws and tended to behave as multifractals. Our results suggest that singularity spectra were useful for characterising temporal variability of soil water content, distinguishing patterns among series registered under rain-fed and irrigation treatments.
The current study aimed to describe the dynamics of soil water content at three depths in a...
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