<strong>Metal</strong> <strong>Stocks</strong> <strong>in</strong> <strong>Society</strong> – <strong>Scientific</strong> <strong>Synthesis</strong>Figure 1.The genericlife cycle ofa metal, withstock locations<strong>in</strong>dicated:1,metal <strong>in</strong> virg<strong>in</strong>ore bodies;2,metal <strong>in</strong> tail<strong>in</strong>gs;3,metal <strong>in</strong>processorstockpiles;2. The Concept of<strong>Stocks</strong>One aspect of the availability of metals concernsthe natural (or virg<strong>in</strong>) stocks of metals:those deposited by geological processes <strong>in</strong>concentrations suitable for be<strong>in</strong>g extractedand processed, now and <strong>in</strong> the future. Thetotal amounts of metals <strong>in</strong> such depositsare difficult to quantify accurately, but globalestimates are publicly reported (e. g., USGS,2008). This <strong>in</strong>formation is important to evaluationsof resource susta<strong>in</strong>ability, but is notthe subject of this report and so is not treatedfurther here<strong>in</strong>.Import / Exportitself, fabricated <strong>in</strong>to products, and thenput <strong>in</strong>to use. Dur<strong>in</strong>g process<strong>in</strong>g, waste rockand impurities conta<strong>in</strong><strong>in</strong>g small amounts ofthe target metals are deposited <strong>in</strong> “tail<strong>in</strong>gsponds”. Some metal is held <strong>in</strong> stockpilesby processors, fabricators, and sometimesby governments. Eventually, the product isdiscarded, perhaps to recycl<strong>in</strong>g, perhaps lostto the environment. The metal <strong>in</strong> one form oranother moves rapidly through most of thesestages, but may stay <strong>in</strong> use for long periods– years, decades, perhaps a century or more.In some cases, such as metal <strong>in</strong> obsoleteundersea cables, the metal is no longer <strong>in</strong>use, but not (yet?) recovered and recycled(Hashimoto et al., 2007). These “hibernat<strong>in</strong>g”stocks are potentially reusable, but their4,metal <strong>in</strong>governmentstockpiles;5,metal <strong>in</strong>manufacturerstockpiles;Process<strong>in</strong>g34Fabrication5Use6DiscardMgt.76,metal <strong>in</strong>-usestock;7,metal <strong>in</strong> recyclerstockpiles;Ore12Environment88,metal <strong>in</strong> landfillstockpiles.Emissions fromthe Use stage aresmall, and not<strong>in</strong>dicated here.12A group of less well studied stocks aretermed “anthropogenic”; these are themetal stocks <strong>in</strong> society, already extracted,processed, put <strong>in</strong>to use, currently provid<strong>in</strong>gservice, or discarded or dissipated over time.These types of metal stocks <strong>in</strong> society canbe appreciated with the help of the life-cyclediagram of Figure 1. <strong>Metal</strong> ores are m<strong>in</strong>edfrom the ground, processed <strong>in</strong>to the metalrecovery may well not be economicallyfeasible. All of these stocks are, <strong>in</strong> pr<strong>in</strong>ciple,the subject of the present report.Material flow analysis characterizes andquantifies flows of materials <strong>in</strong>to, out of, andthrough a system of <strong>in</strong>terest, equat<strong>in</strong>g flowsat each reservoir with<strong>in</strong> the system by conservationof mass. In this analysis, the choice
<strong>Metal</strong> <strong>Stocks</strong> <strong>in</strong> <strong>Society</strong> – <strong>Scientific</strong> <strong>Synthesis</strong>of scale and level is critical (scale is “a spatial,temporal, quantitative, or analytic dimensionused to measure or study a phenomenon”[Gibson et al., 2000], as with a ruler,level is a position along the scale.) The quantityof mass of a chosen material that existswith<strong>in</strong> the system boundary of choice at aspecific time is considered stock with<strong>in</strong> thesystem. In terms of units of measurement,stock is a level variable (i. e., kg), while flowis a rate variable (i. e., kg per unit of time). Ingeneral, the metal stock <strong>in</strong> society is highestby far when material is <strong>in</strong> use (rather than<strong>in</strong> process<strong>in</strong>g, fabrication, manufactur<strong>in</strong>g, orwaste management).The metal portion of <strong>in</strong>-use stock can be def<strong>in</strong>ed<strong>in</strong> two ways. If an <strong>in</strong>dividual element isspecified, <strong>in</strong>-use stock of metal refers to thetotal mass of that element, regardless of itschemical form. If a metal alloy is specified,<strong>in</strong>-use stock of metal refers to the total massof that alloy (<strong>in</strong>clud<strong>in</strong>g all its constituent elements).13