perm filename SAFETY.DOC[F82,JMC] blob
sn#731888 filedate 1983-11-14 generic text, type T, neo UTF8
safety[f82,jmc] When safety kills
It is a truism that poverty kills, and we can try to quantify
this proposition statistically by computing the relation between the
income of a state and its death rate - both taken from the 1979
Statistical Abstract of the United States. This probably
uncontroversial proposition has a probably controversial corollary -
too much money spent on a safety measure kills more than it saves.
Namely it drains money out of the economy that the people who would
otherwise get the money and be more prosperous would spend to live
longer.
The estimated cost of safety measures in lives is one life
for several million dollars spent. The number, as we shall explain,
cannot be computed accurately, but all our estimates are between one
million and five million dollars. This means that if more than five
million dollars are spent on a safety measure per life saved, net
lives are lost. This relates to social policy, because many of the
required safety measures for nuclear power plants and other
industrial facilities may cost many tens of million dollars per life
saved. Since the money spent on safety comes out of utility rates,
it seems to follow that the public would be safer if the expenditure
were not made and rates kept down instead.
The same appears to be true of the $100 million recall
campaign for Tylenol unless it is believed to have saved more than 20
lives. It may even be true of the tamper-proof packaging being
introduced.
The statistical technique is quite simple and even naive, and
the numbers obtained are certainly subject to qualification.
However, some of the safety expenditures are so far out of line that
the conclusion that they are irrational isn't very sensitive to the
numbers.
Our data comes from the "Statistical Abstract of the United
States: 1979" (100th edition), U.S. Bureau of Census, Washington,
D.C., 1979. Table No. 107 on page 74 gives data on death rates for
each state and also grouped into nine regions of the country. We
used the last column which gives the death rate per thousand of
population for the year 1977, the latest included. For income we
used Table No. 730 on page 445 which gives the per capita income by
states and with the states grouped into nine regions. We used the
column for 1978, the most recent given.
For doing the computation, we used the Hewlett-Packard HP-15
hand-held calculator and its built-in program for linear regression.
We did the computation by regions first and obtained the formula
<death rate (per thousand)> = 10.46 - 0.00023 <personal
income>.
Let's abbreviate this
d.r = 10.46 - 0.00023 p.i.
Remembering that the death rate is given per thousand, the
conclusion is that for each $4.4 million of personal income in a
state in 1978, one fewer person died in 1977. We're sorry about the
fact that the years don't agree exactly, but that's what was in the
tables. The reader with access to other data can probably find data
for matching years.
The correlation co-efficient was -0.2, which indicates that
income accounted for 20 percent of the variation of death rate among
regions.
We also did the calculation in three other different ways.
Taking the five highest and the five lowest states in income, the
calculation gave
d.r = 13.6 - 0.00064 p.i
with a correlation of -0.63. An income decrease of $1.56
million seems to cost a life.
The highest income states included Washington D.C. and
Alaska. Washington has the second highest death rate (perhaps
because it has a high income segment of Government employees and a
low income group of poor blacks), and Alaska has the highest income
and the lowest death rate (presumably because its elderly retire and
die elsewhere). If we eliminate D.C. and Alaska, the equation
becomes
d.r = 13.3 - .0006 pi,
with a correlation of -0.82, which isn't much different. An income
decrease of $1.6 million seems to cost a life.
Taking the five highest and five lowest death rates gies
d.r. = 14.5 - .000846 p.i.
with a correlation of -0.29. An income decrease of $1.18 million
seems to cost a life.
Finally, we did the calculation with all 50 states plus D.C.
which gives
d.r. = 11.8 - .00043 p.i.
with a correlation of -0.35. This suggests that fully a third of the
variance in death rate among states is accounted for by variations in
personal income. Dividing the 0.00043 by 1000 and inverting gives a
result suggesting that every reduction in personal income by $2.3
million costs a life.
Discussion:
If one wanted an accurate answer, a prospective experiment
would be needed, i.e. one should have an experimental group (given
money) and a control group left alone. Ideally, the experimental
group shouldn't know they were being subsidized - their employers
might be subsidized to increase their pay and give misleading reasons
for doing so. Such an experiment is unlikely to be performed, so we
are reduced to inferring what we can from the statistics available.
The interesting number from the policy point of view is the
amount of decrease in personal income that apparently costs a life.
The estimate ranges from the $1.18 million when we take the states
with highest and lowest death rates to the $4.4 million obtained when
we aggregate by regions. Asked to guess, I'd go for the number
obtained when all states are taken into account, namely $2.3 million.
I have consulted professional statisticians, who point out
various possibilities for quantitative error. Some errors may arise
from the aggregation by states, and other may give spurious
correlations, e.g. a state to which many people retire may be
expected to have a lower income and a higher death rate. However,
no-one has suggested that another technique or more data is likely to
give qualitatively different results.
We may speculate about how income saves lives. People eat
better, value their lives more and avoid some risks, visit doctors
more readily, and pay more taxes for public health and safety
measures. All these factors combine in producing the effect of
average personal income on average death rate. For the purpose of
the present analysis, it isn't necessary to distinguish these
factors. This is fortunate, since the information required to do so
probably isn't available.
There are other ways of comparing money and lives. First of
all, we may look for ways of saving lives with money. Many years ago
it was estimated that $100,000 spent judiciously on stoplights and
other automobile safety measures would save a life year. I was
recently informed that the most cost effective way of saving lives in
the U.S. is to increase paramedic services. Most likely lives can
be saved even more cheaply by public health measures in
underdeveloped countries. However, the advocates of an expensive
safety measure can point out (if they are inclined to address the
issue at all) that there is no guarantee that money unspent on one
safety measure will be spent on another more cost-effective measure.
Yet another way is to estimate the risks people take
voluntarily to get money or to save it. These also give smaller
estimates of the monetary value of life than the cost of many safety
measures. The advocates of a particular expensive safety measure
often point to the difference between risks taken voluntarily and
those imposed by others. Starr (19xx) discusses these issues.
All these approaches are relevant to deciding whether a
proposed expenditure is worthwhile. However, the present approach
has the advantage that it compares an action (undertaking or
requiring an expensive safety measure) with doing nothing - an option
that is often available to a decision maker, who usually doesn't have
the option of an alternate expenditure on saving lives. Thus the
Nuclear Regulatory Commission cannot require that a utility build a
clinic in Indonesia instead of making the earthquake proofing
stronger, but often it has the the option of not requiring the
expenditure. So, often, does a judge.
Considerations of this kind are most important if they affect
policy, and affecting policy means politics, and politics involves
expressing conclusions in politically effective ways. We offer two
ways of putting the conclusions of this study - mild and sharp.
The mild way of putting it is that policy makers who consider
a particular expenditure on safety - whether it is their own
organization's money or whether are in a postion to require
expenditure by others - consider whether the expenditure will save a
life for every $2.3 million spent. If not the drain they cause on
the economy may cost more lives than the safety measure saves. Meta-
policy makers, i.e. Congress and state legislatures, might consider
requiring impact statements estimating lives to be saved per dollar
spent on specific safety measures before a regulatory body can impose
a new safety measure. It might be remembered that it isn't easy for
a regulator faced with TV broadcasts, press conferences by activists,
and questions by excited legislators to say that the proposed "tough
new regulatons" won't save as many lives as they will cost, and the
best option may be to do nothing. It is especially difficult if
doing nothing puts the value of the regulator's own job in question.
For this reason, a meta-rule requiring the impact statement with a
$2.3 million cost limit per life saved may be helpful.
The sharp way of putting the issue is to accuse Ralph Nader,
the Natural Resources Defense Council, the Sierra Club, Musicians
United for Safe Energy, the blockaders of the Seabrook site and
Diablo Canyon, the California Legislature, the Washington, D.C. Court
of Appeals and other busybodies of having killed a large number of
people in furtherance of arbitrary notions of who were the good guys
and who were the bad guys. Here are some of the ways in
which the conclusions might be attacked:
1. The most drastic attack is to suggest that the causality
is reversed. Perhaps states are healthy or unhealthy for reasons
unrelated to income, but healthy states have higher income, because
sick people don't earn as much money. The only reason to disbelieve
this is that plausible reasons why specific states are healthier than
others are hard to think up, whereas the economic reasons why some
the presence of specific economic opportunities make certain states
wealthier readily come to mind.