Metallic Mineral Resources in the Twenty-First Century: II. Constraints on Future Supply

Natural Resources Research

Volumn 25, Issue 1, 2016, Pages 97-124

  Patiño Douce, Alberto E ^a  

^a UNIVERSITY OF GEORGIA   (United States)

Author keywords

deposit; endowment; Metallic; mineral; ore; size distribution; statistics

Indexed keywords

EID: 84958833855     PISSN: 15207439     EISSN: 15738981     Source Type: Journal    
DOI: 10.1007/s11053-015-9265-0     Document Type: Article

References (65)

1. Agterberg, F. P. (1995). Multifractal modeling of the size and grade of giant and supergiant deposits. International Geology Review,37, 1–8.
2. Agterberg, F. P. (2007). Mixtures of multiplicative cascade models in geochemistry. Nonlinear Processes in Geophysics,14, 201–209.
3. Ahrens, L. H. (1954a). The lognormal distribution of the elements (a fundamental law of geochemistry and its subsidiary). Geochimica et Cosmochimica Acta,5, 49–73.
4. Ahrens, L. H. (1954b). The lognormal distribution of the elements—II. Geochimica et Cosmochimica Acta,6, 121–131
5. Aitchison, J., & Brown, J. A. C. (1957). The lognormal distribution, with special reference to its uses in economics. Cambridge: Cambridge University Press.
6. Allanson, P. (1992). Farm size structure in England and Wales, 1939–1989. Journal of Agricultural Economics,43, 137–148.
7. Allègre, C. J., & Lewin, E. (1995). Scaling laws and geochemical distributions. Earth and Planetary Science Letters,132, 1–13.
8. Berger, V.I. (1993). Descriptive, and grade and tonnage model for gold-antimony deposits. USGS Open-File Report 93-194.
9. Berger, V.I., Singer, D.A., Bliss, J.D., Moring, B.C. (2011). Ni-Co laterite deposits of the world—database and grade and tonnage models. USGS Open-File Report 2011-1058.
10. Berger, V.I, Singer, D.A., Orris, G.J. (2009). Carbonatites of the world, explored deposits of Nb and REE—database and grade and tonnage models. USGS Open-File Report 2009-1139.
11. Black, F., & Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy,81, 637–654.
12. Bliss, J.D. (1994). Grade, tonnage, and other models of blue-mountain-type Au-Ag polymetallic veins, Blue Mountains, Oregon, for use in resource and environmental assessment. USGS Open-File Report 94-677.
13. Bliss, J.D., & Menzie, W.D. (1993). Spatial mineral deposit models and the prediction of undiscovered mineral deposits. In Kirkham, R.V, Sinclair, W.D., Thorpe, R.I. & Duke, J.M. (Eds.), Mineral deposit modeling, (pp. 693–706), Geological Association of Canada Special Paper 40.
14. Cargill, S. M., Root, D. H., & Bailey, E. H. (1981). Estimating usable resources from historical industry data. Economic Geology,76, 1081–1095.
15. Cox, D.P., Lindsey, D.A., Singer, D.A., Moring, B.C., & Diggles, M.F. (2007). Sediment-hosted copper deposits of the world: deposit models and database. USGS Open-File Report 03-107, 2003, revised 2007.
16. Cox, D.P., & Singer, D.A. (1990). Descriptive and grade-tonnage models for distal disseminated Ag-Au deposits; a supplement to U.S. Geological Survey bulletin 1693. USGS Open-File Report 90-282.
17. Eckstrand, O.R., & Hulbert, L.J. (2007). Magmatic nickel-copper-platinum group element deposits. In: Goodfellow, W.D. (Ed.), Mineral deposits of Canada: A synthesis of major deposit types, district metallogeny, the evolution of geological provinces, and exploration methods (pp. 205–222), Geological Association of Canada, Mineral Deposits Division, Special Publication No. 5.
18. Eilu, P., Hallberg, A., Bergman, T., Feoktistov, V., Korsakova, M., Krasotkin, S., Lampio, E., Litvinenko, V., Nurmi, P.A., Often, M., Philippov, N., Sandstad, J.V., Stromov, V., Tontti, M. (2007). Fennoscandian ore deposit database. Geological Survey of Finland Report of Investigation 168. http://en.gtk.fi/informationservices/databases/fodd/. Accessed May 22, 2013.
19. Ewers, G.R., & Ryburn, R.J. (1993). User’s guide to the OZMIN mineral deposits database. Record 1993/094. Canberra: Australian Geological Survey Organisation.
20. Gerst, M. D. (2008). Revisiting the cumulative grade-tonnage relationship for major copper ore types. Economic Geology,103, 615–628.
21. Gonçalves, M. A. (2001). Characterization of geochemical distributions using multifractal models. Mathematical Geology,33, 41–61.
22. Grönholm, T., & Annila, A. (2007). Natural distribution. Mathematical Biosciences,210, 659–667.
23. Guj, P., Fallon, M., Campbell McCuaig, T., & Fagan, R. (2011). A time-series audit of Zipf’s law as a measure of terrane endowment and maturity in mineral exploration. Economic Geology,106, 241–259.
24. Harris, D. P. (1984). Mineral resources appraisal. Oxford: Clarendon Press.
25. Jaques, A. L., Huleatt, M. B., Ratajkoski, M., & Towner, R. R. (2005). Exploration and discovery of Australia’s copper, nickel, lead and zinc resources 1976–2005. Resources Policy,30, 168–185.
26. John, D.A., & Bliss, J.D. (1993). Grade and tonnage model of tungsten skarn deposits, Nevada. USGS Open-File Report 94-5.
27. Johnson, K.M., Hammarstrom, J.M., Zientek, M.L., Dicken, C.L., (2014). Estimate of undiscovered copper resources of the world, 2013. USGS Fact Sheet 2014-3004.
28. Klein, T.L., & Day, W.C. (1994). Descriptive and grade-tonnage models of Archean low-sulfide Au-quartz veins and a revised grade-tonnage model of Homestake Au. USGS Open-File Report 94-250.
29. Kotlyar, B.B., Ludington, S.D., Mosier, D.L. (1995). Descriptive, grade, and tonnage models for molybdenum-tungsten greisen deposits. USGS Open-File Report 95-584.
30. Laznicka, P. (1999). Quantitative relationship among giant deposits of metals. Economic Geology,94, 455–473.
31. Limpert, E., Stahel, W. A., & Abbt, M. (2001). Log-normal distributions across the sciences: Keys and clues. BioScience,51, 341–352.
32. Loewenstein, Y., Kuras, A., & Rumpel, S. (2011). Multiplicative dynamics underlie the emergence of the log-normal distribution of spine sizes in the neocortex in vivo. The Journal of Neuroscience,31, 9481–9488.
33. Long, K. R. (1998). Grade and tonnage models for Coeur d’Alene-type polymetallic veins. USGS Open-File Report 98-583.
34. Menzie, W.D., Singer, D.A., Mosier, D.L. (1992). Grade and tonnage data for climax mo and creede epithermal deposit models. USGS Open-File Report 92-248.
35. Mitzenmacher, M. (2003). A brief history of generative models for power law and lognormal distributions. Internet Mathematics,1, 226–251.
36. Mosier, D.L., Berger, V.I., Singer, D.A. (2009). Volcanogenic massive sulfide deposits of the world—database and grade and tonnage models. USGS Open-File Report 2009-1034.
37. Mosier, D.L., Singer, D.A., Moring, B.C., Galloway, J.P. (2012). Podiform chromite deposits—database and grade and tonnage models. USGS Scientific Investigations Report 2012-5157.
38. Nash, J.T. (2010). Volcanogenic uranium deposits: Geology, geochemical processes, and criteria for resource assessment. USGS Open-File Report 2010-1001.
39. Nickless, E., Bloodworth, A., Meinert, L., Giurco, D., Mohr, S., & Littleboy, A. (2014). Resourcing future generations white paper: Mineral resources and future supply. In International union of geological sciences. http://iugs.org/uploads/Consultation%20Paper%202014_Oct_12_AL_EN_DG%20FINAL.pdf
40. Norilsk Internet Source (ND). http://www.nornik.ru/en/our_products/MineralReservesResourcesStatement/. Accessed June 8, 2013.
41. Orris, G.J., Bliss, J.D., Hammarstrom, J.M., Theodore, T.G (1987). Description and grades and tonnages of gold-bearing skarns. USGS Open-File Report 87-273.
42. Patiño Douce, A.E. (2015) Metallic mineral resources in twenty first century I. Historical extraction trends and expected demand. Natural Resources Research. doi:10.1007/s11053-015-9266-z
43. Rogers, M.C. (1996). Grade-tonnage data for the mineral deposit models described in Open File Report 5945; Ontario Geological Survey, Miscellaneous Release—Data 22.
44. Singer, D. A. (1993). Basic concepts in three-part quantitative assessments of undiscovered mineral resources. Nonrenewable Resources,2, 69–81.
45. Singer, D. A. (1995). World class base and precious metal deposits—a quantitative analysis. Economic Geology,90, 88–104.
46. Singer, D. A. (2006). Typing mineral deposits using their associated rocks, grades and tonnages using a probabilistic neural network. Mathematical Geology,38, 465–474.
47. Singer, D. A. (2008). Mineral deposit densities for estimating mineral resources. Mathematical Geosciences,40, 33–46.
48. Singer, D. A. (2010). Progress in integrated quantitative mineral resource assessments. Ore Geology Reviews,38, 242–250.
49. Singer, D. A. (2013). The lognormal distribution of metal resources in mineral deposits. Ore Geology Reviews,55, 80–86.
50. Singer, D. A., Berger, V. I., Menzie, W. D., & Berger, B. R. (2005). Porphyry copper deposit density. Economic Geology,100, 491–514.
51. Singer, D.A., Berger, V.I., Moring, B.C. (2008). Porphyry copper deposits of the world: Database and grade and tonnage models. USGS Open-File Report 2008-1155.
52. Singer, D.A., Berger, V.I., Moring, B.C. (2009). Sediment-hosted zinc-lead deposits of the world: Database and grade and tonnage models. USGS Open-File Report 2009-1252.
53. Singer, D. A., & Kouda, R. (2011). Probabilistic estimates of number of undiscovered deposits and their total tonnages in permissive tracts using deposit densities. Natural Resources Research,20, 89–93.
54. Singer, D. A., & Menzie, W. D. (2010). Quantitative mineral resource assessments—an integrated approach. New York, NY: Oxford University Press.
55. Singer, D.A., Mosier, D.L., Menzie, W.D. (1993). Digital grade and tonnage data for 50 types of mineral deposits. USGS Open-File Report 93-280.
56. Skinner, B. J. (1976). A second iron age ahead? American Scientist,64, 258–269.
57. Sokolnikoff, I. S., & Redheffer, R. M. (1966). Mathematics of physics and modern engineering (2nd ed.). New York, NY: McGraw-Hill.
58. Turcotte, D. L. (1986). A fractal approach to the relationship between ore grade and tonnage. Economic Geology,81, 1528–1532.
59. Turcotte, D. L. (2002). Fractals in petrology. Lithos,65, 261–271.
60. Wang, Q., Deng, J., Liu, H., Yang, L., Wan, L., & Zhang, R. (2010). Fractal models for ore reserve estimation. Ore Geology Reviews,37, 2–14.
61. Wang, Q., Wan, L., Zhang, Y., Zhao, J., & Liu, H. (2011). Number-average size model for geological systems and its application in economic geology. Nonlinear Processes in Geophysics,18, 447–454.
62. Wei, S., & Pengda, Z. (2002). Theoretical study of statistical fractal model with applications to mineral resource prediction. Computers & Geosciences,28, 369–376.
63. Witwatersrand Internet Source (ND). http://miningalmanac.com/stock/WITS-Gold-%28Witwsrand-Cons%29-WGR-WGR/properties. Accessed May 30, 2013.
64. Zientek, M.L. (2012). Magmatic ore deposits in layered intrusions—descriptive model for reef-type PGE and contact-type Cu-Ni-PGE deposits. USGS Open-File Report 2012-1010.
65. Zuo, R., Cheng, Q., Agterberg, F. P., & Xia, Q. (2009). Evaluation of the uncertainty in estimation of metal resources of skarn tin in Southern China. Ore Geology Review,35, 415–422.