RESEARCH AND ANALYSIS
Exploratory Data Analysis of
the Multilevel Anthropogenic
Zinc Cycle
T.E. Graedel, Marlen Bertram, and Barbara Reck
Summary
A comprehensive multilevel contemporary cycle for stocks
and flows of zinc is analyzed by the tools of exploratory data
analysis. The analysis is performed at three discrete organi-
zational levels—country (53 countries and 1 country group
that together comprise essentially all anthropogenic stocks
and flows of zinc), world region (9 world regions), and the
planet as a whole. The results demonstrate the following: (1)
Exploratory data analysis provides valuable and otherwise un-
obtainable information about material flows, especially those
across multiple spatial levels. (2) All distributions of country-
level zinc stock and flow data are highly skewed, a few coun-
tries having large magnitudes, many having small magnitudes.
(3) Rates of fabrication of zinc-containing products for the
countries are poorly correlated with rates of extraction, re-
flecting the fact that many countries that extract zinc do not
fabricate products from zinc to any significant degree, and
vice versa. (4) Virtually all countries are adding zinc to stock
in the use phase (in galvanizing applications, zinc castings, etc.).
These rates of addition are highly correlated with rates of zinc
entering use in all regions, and are higher in regions under
vigorous development. (5) With weak confidence, the rate
of zinc landfilling by countries appears to be highly corre-
lated with the rate of discard. (6) The statistical distributions
of regional-level zinc cycle parameters are approximately log
normal. (7) The extremes of normalized statistical distributions
of zinc flow values are broader at lower spatial levels (country
versus region, for example), but regional interquartile ranges
for zinc entering use and zinc discards are higher at regional
level then at country level.
Keywords
emergent behavior
landfills
recycling
resource use
substance flow analysis (SFA)
waste management
Address correspondence to:
Professor Thomas E. Graedel
Center for Industrial Ecology
School of Forestry and Environmental
Studies
Yale University
New Haven, CT 06511 USA
<thomas.graedel@yale.edu>
© 2005 by the Massachusetts Institute of
Technology and Yale University
Volume 9, Number 3
http://mitpress.mit.edu/jie Journal of Industrial Ecology 91