Modeling and forecasting complex patterns of mineral production. Gold mining in Canada

The complex pattern of gold production in Canada, which differs from the classic Hubbert´s curve, is modeled, and a short-term forecast is made, via the Fundamental Equation of Mineral Production (FEMP). For intervals of time with a variable production to reserves ratio, a discrete piecewise version...

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Main Author: Sergio Pérez Rodríguez
Format: Article
Language:English
Published: Taylor & Francis Group 2020-01-01
Series:Cogent Engineering
Subjects:
Online Access:http://dx.doi.org/10.1080/23311916.2020.1724849
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author Sergio Pérez Rodríguez
author_facet Sergio Pérez Rodríguez
author_sort Sergio Pérez Rodríguez
collection DOAJ
description The complex pattern of gold production in Canada, which differs from the classic Hubbert´s curve, is modeled, and a short-term forecast is made, via the Fundamental Equation of Mineral Production (FEMP). For intervals of time with a variable production to reserves ratio, a discrete piecewise version of the equation updates the reserves and the Production to Reserves Ratio (PRR) by units of time. These piecewise linear portions of the PRR correspond to sub-cycles of rising and declining production embedded in the overall history of production. This version of the FEMP allows modelling of any pattern of mineral production at a universal range of scales. The Hubbert´s linearization indicates the official account of reserves underestimates the real amount of gold resources in Canada. The equivalence between the Hubbert’s formula and the FEMP is introduced. The Hubbert curve is shown as a case study of the Fundamental Equation, featured as the product of a quadratic function of the cumulative production and a rational function of the PRR with time. The forecast for Canada’s current gold production illustrates the metal output is about to peak with an all-time record high in the near future, unless new findings or influential global economic factors are introduced (i.e., a sharp and sustained growth of gold demand from regional markets), allowing an increase of the slope of the linear function featured by the PRR of the FEMP-based model.
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spelling doaj.art-a6aa146da42f467082c86075bc6cae912023-09-02T21:43:57ZengTaylor & Francis GroupCogent Engineering2331-19162020-01-017110.1080/23311916.2020.17248491724849Modeling and forecasting complex patterns of mineral production. Gold mining in CanadaSergio Pérez Rodríguez0Houston, TX, USA.The complex pattern of gold production in Canada, which differs from the classic Hubbert´s curve, is modeled, and a short-term forecast is made, via the Fundamental Equation of Mineral Production (FEMP). For intervals of time with a variable production to reserves ratio, a discrete piecewise version of the equation updates the reserves and the Production to Reserves Ratio (PRR) by units of time. These piecewise linear portions of the PRR correspond to sub-cycles of rising and declining production embedded in the overall history of production. This version of the FEMP allows modelling of any pattern of mineral production at a universal range of scales. The Hubbert´s linearization indicates the official account of reserves underestimates the real amount of gold resources in Canada. The equivalence between the Hubbert’s formula and the FEMP is introduced. The Hubbert curve is shown as a case study of the Fundamental Equation, featured as the product of a quadratic function of the cumulative production and a rational function of the PRR with time. The forecast for Canada’s current gold production illustrates the metal output is about to peak with an all-time record high in the near future, unless new findings or influential global economic factors are introduced (i.e., a sharp and sustained growth of gold demand from regional markets), allowing an increase of the slope of the linear function featured by the PRR of the FEMP-based model.http://dx.doi.org/10.1080/23311916.2020.1724849production modellingmineralgoldreserveshubbert curveforecasting
spellingShingle Sergio Pérez Rodríguez
Modeling and forecasting complex patterns of mineral production. Gold mining in Canada
Cogent Engineering
production modelling
mineral
gold
reserves
hubbert curve
forecasting
title Modeling and forecasting complex patterns of mineral production. Gold mining in Canada
title_full Modeling and forecasting complex patterns of mineral production. Gold mining in Canada
title_fullStr Modeling and forecasting complex patterns of mineral production. Gold mining in Canada
title_full_unstemmed Modeling and forecasting complex patterns of mineral production. Gold mining in Canada
title_short Modeling and forecasting complex patterns of mineral production. Gold mining in Canada
title_sort modeling and forecasting complex patterns of mineral production gold mining in canada
topic production modelling
mineral
gold
reserves
hubbert curve
forecasting
url http://dx.doi.org/10.1080/23311916.2020.1724849
work_keys_str_mv AT sergioperezrodriguez modelingandforecastingcomplexpatternsofmineralproductiongoldminingincanada