“…Among them, lattice-Boltzmann models (LBM) [29,20] are able to describe water, solute, and particulate transport in the interstitial space of soils, as well as the shape of air-water interfaces [13,53], without having to invoke the kind of simplifying assumptions about the geometry or topology of soil pores that were typical of earlier generations of models, based on traditional partial differential equations or capillary network idealizations. Similarly, agent-or individual-based models describe quantitatively the growth and metabolism of microorganisms much more realistically than traditional models, based on descriptions of population dynamics, and are able to account in great detail for the effects of the relative spatial distributions of fungi [13], bacteria [27,30,18,15], and the organic matter on which they feed. At the moment, the development of each of these different models is moving forward, in parallel with interdisciplinary efforts to combine them in order to describe various types of micro-scale scenarios and assess the nature of emergent properties of soil systems [13].…”