Soil porous system as heterogeneous complex network

Cárdenas, Juan Pablo; Santiago, A.; Tarquis, Ana M.; Losada, Juan Carlos; Borondo, F.; Benito, R. M.

doi:10.1016/j.geoderma.2010.04.024

Cited by 27 publications

(15 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the evolving soil network model (Santiago et al, 2008, Cárdenas et al, 2010, it was shown that the scaling exponent of the asymptotic degree distribution is within the interval 1 < γ ≤ 3. Comparing the two network models, this finding sets the upper limit to the strength of embedding in the threshold network model m ≤ m c = 2D/(α − 1) indicating that soil pore networks are predominantly disassortative.…”

Section: Resultsmentioning

confidence: 99%

“…In the threshold model the scaling exponent is for strong enough embedding with m > D/(α − 1) given by γ = 1 + m(α − 1)/D (Masuda et al, 2005;Yakubo and Korošak, 2011), where D is the embedding or fractal dimension, while in the growing network model multiscaling (Bianconi and Barabasi, 2001) was found with γ = 1 + 2/w (Cárdenas et al, 2010), where w is the normalized fitness of the nodes. The analysis of the scale-free network embedded in fractal space (Yakubo and Korošak, 2011) has shown that we can distinguish three phases of embedded network: (i) noncompact phase for m < m c0 = D/(α − 1) with y = 2, (ii) intermediate phase for m c0 < m < m c1 = (D + 1)/(α − 1), and (iii) compact phase for m > m c1 .…”

Section: Methodsmentioning

confidence: 99%

“…Whilst soil scientists have studied the complexity of soil pore space for decades (Berkowitz and Ewing, 1998), it is only recently that soil pore networks have been considered as complex systems. Specifically two approaches to describe soil pore structure as complex networks of pores have recently been proposed (Mooney and Korošak, 2009;Cárdenas et al, 2010), both emphasizing the role of the spatial embedding of the network. Soil pore structure was described as a complex network of pores using a spatially embedded varying fitness network model (Mooney and Korošak, 2009) or heterogeneous preferential attachment scheme (Santiago et al, 2008).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantifying soil complexity using network models of soil porous structure

Samec

Santiago²,

Cárdenas³

et al. 2013

Nonlin. Processes Geophys.

Self Cite

View full text Add to dashboard Cite

Abstract. This paper describes an investigation into the properties of spatially embedded complex networks representing the porous architecture of soil systems. We suggest an approach to quantify the complexity of soil pore structure based on the node-node link correlation properties of the networks. We show that the complexity depends on the strength of spatial embedding of the network and that this is related to the transition from a non-compact to compact phase of the network.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Quantifying soil complexity using network models of soil porous structure

Samec

Santiago²,

Cárdenas³

et al. 2013

Nonlin. Processes Geophys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Two approaches to build complex network models of soilpore organization have recently been developed [42][43][44]. Here we will concentrate on the networks presented in [42] formed by geographical threshold algorithm as described in Sec.…”

Section: Examplementioning

confidence: 99%

Scale-free networks embedded in fractal space

Yakubo

Korošak

2011

Phys. Rev. E

View full text Add to dashboard Cite

The impact of an inhomogeneous arrangement of nodes in space on a network organization cannot be neglected in most real-world scale-free networks. Here we propose a model for a geographical network with nodes embedded in a fractal space in which we can tune the network heterogeneity by varying the strength of the spatial embedding. When the nodes in such networks have power-law distributed intrinsic weights, the networks are scale-free with the degree distribution exponent decreasing with increasing fractal dimension if the spatial embedding is strong enough, while the weakly embedded networks are still scale-free but the degree exponent is equal to γ = 2 regardless of the fractal dimension. We show that this phenomenon is related to the transition from a noncompact to compact phase of the network and that this transition accompanies a drastic change of the network efficiency. We test our analytically derived predictions on the real-world example of networks describing the soil porous architecture.

show abstract

“…This is the main reason why most theoretical approaches to soil porosity are idealizations to simplify the complex structure of the connections and spatial location of pores (Bird et al, 2006;Tarquis et al, 2009). Considering this problem, several works have tried to achieve a more realistic view of the structure of porous media, taking into account the complex relation between pores (Cárdenas et al, 2010;Mooney and Koroxak, 2009;. In an attempt to capture the complexity of the system, we developed a model, the porous soil model, which incorporates the differing pore properties as well as their interaction patterns.…”

mentioning

confidence: 99%

Community Structure in a Soil Porous System

Cárdenas¹,

Santiago²,

Tarquis³

et al. 2012

Soil Science

View full text Add to dashboard Cite

Diffusion controls the gaseous transport process in soils when advective transport is almost null. Knowledge of the soil structure and pore connectivity are critical issues to understand and modelling soil aeration, sequestration or emission of greenhouse gasses, volatilization of volatile organic chemicals among other phenomena. In the last decades these issues increased our attention as scientist have realize that soil is one of the most complex materials on the earth, within which many biological, physical and chemical processes that support life and affect climate change take place.A quantitative and explicit characterization of soil structure is difficult because of the complexity of the pore space. This is the main reason why most theoretical approaches to soil porosity are idealizations to simplify this system. In this work, we proposed a more realistic attempt to capture the complexity of the system developing a model that considers the size and location of pores in order to relate them into a network. In the model we interpret porous soils as heterogeneous networks where pores are represented by nodes, characterized by their size and spatial location, and the links representing flows between them.In this work we perform an analysis of the community structure of porous media of soils represented as networks. For different real soils samples, modelled as heterogeneous complex networks, spatial communities of pores have been detected depending on the values of the parameters of the porous soil model used. These types of models are named as Heterogeneous Preferential Attachment (HPA). Developing an exhaustive analysis of the model, analytical solutions are obtained for the degree densities and degree distribution of the pore networks generated by the model in the thermodynamic limit and shown that the networks exhibit similar properties to those observed in other complex networks. With the aim to study in more detail topological properties of these networks, the presence of soil pore community structures is studied. The detection of communities of pores, as groups densely connected with only sparser connections between groups, could contribute to understand the mechanisms of the diffusion phenomena in soils.

show abstract

Soil porous system as heterogeneous complex network

Cited by 27 publications

References 29 publications

Quantifying soil complexity using network models of soil porous structure

Quantifying soil complexity using network models of soil porous structure

Scale-free networks embedded in fractal space

Community Structure in a Soil Porous System

Contact Info

Product

Resources

About