spMC swMATH ID: 18949 Software Authors: Sartore, Luca; Fabbri, Paolo; Gaetan, Carlo Description: spMC: an R-package for 3D lithological reconstructions based on spatial Markov chains. The paper presents the spatial Markov Chains (spMC) R-package and a case study of subsoil simulation/prediction located in a plain site of Northeastern Italy. spMC is a quite complete collection of advanced methods for data inspection, besides spMC implements Markov Chain models to estimate experimental transition probabilities of categorical lithological data. Furthermore, simulation methods based on most known prediction methods (as indicator Kriging and CoKriging) were implemented in spMC package. Moreover, other more advanced methods are available for simulations, e.g. path methods and Bayesian procedures, that exploit the maximum entropy. Since the spMC package was developed for intensive geostatistical computations, part of the code is implemented for parallel computations via the OpenMP constructs. A final analysis of this computational efficiency compares the simulation/prediction algorithms by using different numbers of CPU cores, and considering the example data set of the case study included in the package. Homepage: http://www.sciencedirect.com/science/article/pii/S0098300416301479 Dependencies: R Keywords: Categorical data; Transition probabilities; Transiogram modeling; Indicator Cokriging; Bayesian entropy; 3D lithological conditional simulation/prediction Related Software: mvtnorm; MODPATH; SGeMS; MODFLOW-2000; MODFLOW; GSLIB Cited in: 2 Documents Cited by 4 Authors 1 Allard, Denis 1 Fabbri, Paolo 1 Gaetan, Carlo 1 Pedretti, Daniele Cited in 2 Serials 1 Mathematical Geosciences 1 GEM - International Journal on Geomathematics Cited in 3 Fields 2 Statistics (62-XX) 2 Geophysics (86-XX) 1 Fluid mechanics (76-XX) Citations by Year