@article{fdi:010086264,
  title = {{T}o what extent can multifractal measures provide an accurate model of the porosity of soils ?},
  author = {{P}errier, {E}dith and {B}aveye, {P}.{C}. and {G}arnier, {P}.},
  editor = {},
  language = {{ENG}},
  abstract = {{O}ver the last decades, several authors have suggested that multifractal measures, that is, self-similar measures defined on fractal or non-fractal objects, could be useful to describe soil properties, to model soil processes, and to deal with their extreme microscale heterogeneity. {I}n this context, a key question relates to the extent to which multifractal measures can indeed fulfill all the expectations they have generated. {T}o address this question, we discuss the possibility of generating a synthetic soil image exhibiting multifractal porosity. {T}o this end, a simple geometrical multifractal model in 2{D} is developed, which helps us to better understand the concept of multifractality and to generate images. {W}e show that it is possible to generate synthetic binary images over a limited range of scales, but that a pure multifractal model for the distribution of the solid or pore mass cannot be developed due to physical constraints. {M}oreover, in the generated images mimicking multifractal solid space, a higher degree of multifractality corresponds to a larger porosity, rendering it difficult to tune model parameters to match actual soil properties. {I}n addition, simple statistics relying on power-law fits appear insufficient to characterize soil architecture even if they may capture some key multiscale indicators of observed spatial heterogeneity. {W}e argue that the same conclusions would be reached in a three-dimensional space, as well as for grey-scales images.},
  keywords = {},
  booktitle = {{P}edofract {IX}},
  journal = {{E}uropean {J}ournal of {S}oil {S}cience},
  volume = {72},
  numero = {2},
  pages = {510--526},
  ISSN = {1351-0754},
  year = {2020},
  DOI = {10.1111/ejss.13018},
  URL = {https://www.documentation.ird.fr/hor/fdi:010086264},
}