Spatial Pair-Copula Modeling of Grade in Ore Bodies: A Case Study |
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| Authors: | G Nishani Musafer M Helen Thompson E Kozan R C Wolff |
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| Institution: | 1.School of Mathematical Sciences,Queensland University of Technology (QUT),Brisbane,Australia;2.Cooperative Research Centre for Optimising Resource Extraction (CRC ORE),Pullenvale,Australia;3.W.H. Bryan Mining and Geology Research Centre,University of Queensland (UQ),St Lucia,Australia |
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| Abstract: | A real-world mining application of pair-copulas is presented to model the spatial distribution of metal grade in an ore body. Inaccurate estimation of metal grade in an ore reserve can lead to failure of a mining project. Conventional kriged models are the most commonly used models for estimating grade and other spatial variables. However, kriged models use the variogram or covariance function, which produces a single average value to represent the spatial dependence for a given distance. Kriged models also assume linear spatial dependence. In the application, spatial pair-copulas are used to appropriately model the non-linear spatial dependence present in the data. The spatial pair-copula model is adopted over other copula-based spatial models since it is better able to capture complex spatial dependence structures. The performance of the pair-copula model is shown to be favorable compared to a conventional lognormal kriged model. |
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