Generalized Linear Spatial Models to Predict Slate Exploitability

The aim of this research was to determine the variables that characterize slate exploitability and to model spatial distribution. A generalized linear spatial model (GLSMs) was fitted in order to explore relationship between exploitability and different explanatory variables that characterize slate quality. Modelling the influence of these variables and analysing the spatial distribution of the model residuals yielded a GLSM that allows slate exploitability to be predicted more effectively than when using generalized linear models (GLM), which do not take spatial dependence into account. Studying the residuals and comparing the prediction capacities of the two models lead us to conclude that the GLSM is more appropriate when the response variable presents spatial distribution.

[1]  Javier Roca-Pardiñas,et al.  ROC curve and covariates: extending induced methodology to the non-parametric framework , 2011, Stat. Comput..

[2]  P. Diggle Analysis of Longitudinal Data , 1995 .

[3]  W. González-Manteiga,et al.  Support vector machines and gradient boosting for graphical estimation of a slate deposit , 2004 .

[4]  P. Diggle,et al.  Model‐based geostatistics , 2007 .

[5]  P. McCullagh,et al.  Generalized Linear Models , 1992 .

[6]  P. McCullagh,et al.  Generalized Linear Models , 1984 .

[7]  Hao Zhang On Estimation and Prediction for Spatial Generalized Linear Mixed Models , 2002, Biometrics.

[8]  Ángeles Saavedra,et al.  Quality index for ornamental slate deposits , 1998 .

[9]  O. F. Christensen Monte Carlo Maximum Likelihood in Model-Based Geostatistics , 2004 .

[10]  N. Breslow,et al.  Approximate inference in generalized linear mixed models , 1993 .

[11]  R. Waagepetersen,et al.  Bayesian Prediction of Spatial Count Data Using Generalized Linear Mixed Models , 2002, Biometrics.

[12]  Javier Taboada,et al.  Optimization tools and simulation methods for designing and evaluating a mining operation , 2008 .

[13]  B. Kedem,et al.  Bayesian Prediction of Transformed Gaussian Random Fields , 1997 .

[14]  Peter J. Diggle,et al.  An Introduction to Model-Based Geostatistics , 2003 .

[15]  P. McCullagh,et al.  Generalized Linear Models , 1972, Predictive Analytics.

[16]  P. Diggle,et al.  Childhood malaria in the Gambia: a case-study in model-based geostatistics. , 2002 .

[17]  Hao Zhang Optimal Interpolation and the Appropriateness of Cross-Validating Variogram in Spatial Generalized Linear Mixed Models , 2003 .