Abstract
The spatial complexity of the distribution of organic matter, chemicals, nutrients, and pollutants has been demonstrated to have multifractal nature. This fact supports the possibility of existence of some emergent heterogeneity structure built under the evolution of the system. The aim of this paper is providing a consistent explanation of the mentioned results via an extremely simple model.
Highlights
Searching Explanations for Soil HeterogeneityHeterogeneity and complexity are ubiquitous at all scales in soil and hydrologic systems
The aim of this paper is to provide a small contribution via an extremely simple model, which gives a consistent explanation to the mentioned results on spatial variability of chemicals or pollutants in soil
Heterogeneity is ubiquitous in many soil scenarios
Summary
Heterogeneity and complexity are ubiquitous at all scales in soil and hydrologic systems. One can get a huge amount of data from computer tomography of soil samples at microscopic scales, digital terrain catchments of landscapes, and river basins among many other technological tools. Mathematical tools are needed to analyse and interpret those data as well to construct models to predict. Along the way needed to get such a final purpose, scientists need to understand why the heterogeneity is produced and what the organizing principles that might underlie the heterogeneity and complexity are (McDonnell et al [1]). It is encouraged to explore the scaling behaviour of heterogeneity and the emergent properties in soil and hydrologic systems. In this paper we are mainly interested in some aspects concerning the heterogeneity in the soil scenario
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