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Differences in accuracy (proximity to the true value) and precision (proximity
of multiple measurements) are illustrated in these figures. The top figure
shows a series of measurements that are neither accurate (close to the
bull's eye) or precise (close to each other). The middle figure shows
a tightly grouped cluster of measurements (very precise) that are off
the bull's eye (in other words, the data appear to be great, but they
are erroneous). The lower figure shows data that are both accurate (on
the bull's eye) and precise (close together). A fourth figure might show
data that was accurate (grouped around the bull's eye), but imprecise
(not clustered together). In spite of the statement of a now-retired government
official that:
"I don't care if the data are accurate, as long as they
are precise"
only the accurate data in the bottom figure are
acceptable for scientific research and most other uses.
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Box models are commonly used to calculate the input,
removal, and residence time of substances within a body.
These could include: money in a checking account; salt in
the oceans, DDT in a lake, and dioxin in an infant. The
models may be as simple or as complex as the data and
analytical capabilities allow. This is a more stylized
illustration of our first box model of metals in coastal
waters in the Southern California Bight. With the evolution
of computer capabilities, such models may have an
essentially unlimited number of cells with a large number of
inputs and outputs. However, the validity of even the most
sophisticated computer model depends upon the quality of the
data (e.g., gigo or garbage in / garbage out).
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An illustration of the problem of erroneous measurements
of metal concentration, at an industrial site in Santa Cruz,
California. The site has been reported to be highly
contaminated, based on analyses that indicate the
concentrations of some metals, including cadmium, in
groundwater below the site exceed the state and federal MCL
(maximum concentration level). However, rigorous (trace
metal clean and low flow pumping) measurements of cadmium
concentrations in wells at both the "contaminated" and
adjacent, "background" sites indicate the cadmium
concentrations are below the MCL.
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The National Mussel Watch Program is designed to monitor
the health of coastal waters through systematic analyses of
contaminant concentrations in bivalves (mussels and oysters)
and sediments. These figures illustrate the relative amounts
of (a) PAH (polyaromatic hydrocarbons) in bivalves
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(c) PAH in sediments
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(b) PCBs (polychlorinated biphenyls) in
bivalves
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The global water cycle illustrates the amounts of water
in different reservoirs. The limited amount of fresh water
in accessible reservoirs relative to the vast amount of salt
water available in the oceans accounts for efforts to obtain
freshwater by desalinization.
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The relative errors caused by the inadvertent
(unrecognized) introduction of a contaminant (such as lead)
during collecting, processing, and measuring a sample for
that contaminant concentration are illustrated in this
figure. It shows that the inadvertent contamination (e.g., 3
g/dL), will substantially increase (e.g. quadruple) the
reported blood lead concentration in an individual with a
relatively low blood lead concentration (e.g., 1 g/dL), but
the same amount of inadvertent contamination will not
markedly increase (< 10%) the reported blood lead
concentration in an individual with a relatively high blood
lead concentration (e.g. 50 g/dL). While these changes may
seem inconsequential, similar errors in analysis may result
in the improper notification of a pregnant woman that the
mental health of her fetus may be at risk from high lead
exposure from her blood. Similarly, erroneous measurements
of contaminant concentrations in the environment may result
in actions to reduce contamination that isn't really at a
problematic level, while erroneous measurements in toxicity
studies may falsely indicate that a contaminant doesn't
cause adverse health effects at ambient concentrations.
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Box models are commonly used to calculate the input,
removal, and residence time of substances within a body.
These could include: money in a checking account; salt in
the oceans, DDT in a lake, and dioxin in an infant. The
models may be as simple or as complex as the data and
analytical capabilities allow. For example, (a) illustrates
our first box model of metals [Me] in San Francisco Bay
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(b) illustrates our subsequent model for those metals,
when we segmented the bay into its three principal hydraulic
components (North Bay, Central Bay, and South Bay)
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