Default Dose Response Relationships
for Lesions caused by Chronic Arsenic Poisoning
Richard Wilson
Mallinckrodt Research
Professor of Physics
Harvard University
Presented to the
US EPA as a public comment upon the arsenic regulations proposed on Thursday
June 22nd.
Modified from a
poster presentation at the 4th International Arsenic Conference, San Diego,
June 2000 and modified from a presentation to the Science Advisory Board of
EPA on June 9th 2000.
Introduction
In considering a
possible dose-response relationship it is important to distinguish two possible
cases. Firstly a situation where the lesion
has a unique cause, and second where the lesion is indistinguishable from
a lesion that occurs naturally. Arsenic
caused lesions are of both types. The skin lesions,
dyspigmentation, keratoses and perhaps skin cancers all seem to be unique,
whereas the internal cancers, lung, bladder, kidney and liver are indistinguishable
from other cancers.
Historical
That chronic arsenic
poisoning causes skin lesions was reported by Hutchinson (1887,1888) but was
widely ignored until Tseng et al. (1965) found skin lesions, "blackfoot disease"
and skin cancers, in Taiwan which he attributed to arsenic exposure. Tseng's work has been analyzed and reanalyzed many
times. The result of one such reanalysis
(Byrd et al. 1996) is shown in figure
1. The skin cancer rate is plotted against
the average concentration in the water. It
clearly shows a either a non-linearity or a threshold (hockey-stick) behavior
with a threshold at about 130 ppb in the water.
Tseng's data are merely an "ecological" study, because only average
rates are plotted against average concentrations. It
has been criticized both on this ground and because the attribution to arsenic
may not be correct. However skin lesions
(other than blackfoot disease) have been seen among arsenic exposed people
elsewhere - Inner Mongolia for example. Recently
the individual outcomes and concentrations for 3000 villagers were followed
(report of IMCAP to ATSDR 2000). These,
plotted in figure 2 show a threshold
when the probability of a lesion is plotted against concentration, at 50
ppb for dyspigmentation or keratoses and 300 ppb for skin cancer. Taken together we suggest that these data
suggest an appropriate dose response relationship for skin lesions is a
hockey stick function with a threshold above 50 ppb.
Although
it is desirable to check this conclusion in other cohorts, especially since
skin lesions might behave somewhat differently among different races, there
seems little reason to doubt that there is a threshold, or at least a gross
non-linearity, for the production of skin lesions.
But the situation for the internal cancers is very different. In a couple of papers which surprised most scientists,
Chen and collaborators (1985,1986) showed that there is a considerable increase
in mortality from internal cancers among those who drank water from the arsenic
laden wells in Taiwan. Again these data
have been analyzed and reanalyzed. Byrd
et al show plots of rates of various internal cancers plotted against average
concentrations. The plot for bladder cancer in
men is shown in figure 3 and for
total cancer mortality in figure 4.
Again conclusions from these data must be tentative because it was an ecological" study. But
the cancer rate when plotted against concentration shows an excellent fit
to a straight line with no threshold - in contrast to the situation with
skin lesions. This suggests (but does not prove) that internal cancers behave very differently, and may have a different
mechanism, from skin cancers.
More recently, case control studies have
been performed in Chile (Ferreccio et al. 1998) and Argentine (Hopenhavyn-Rich
et al., 1996,1998) which show unequivocally a large increase in bladder, kidney
and lung tumors with arsenic concentrations in water of 500 ppb. Figures
5 and 6 (taken from Professor
Allan Smith s report to WHO) shows the data for bladder cancer and lung cancer
each with a straight line from the Taiwan data superposed.
Although the line fits the data adequately, inadequate statistical
accuracy in distinguishing an effect from a background prevents finding
effects at much lower levels so that the dose-response has to be judged
from indirect data or general principles.
Relating cases to natural background
Crowther (1924) suggested a simple single stage model for radiation
induced carcinogenesis whereby radiation ionizes a cell that replicates and
leads to a cancer. In its simplest form the theory
leads to a linear dose response relationship. But
his theory was obviously incomplete early on.
Cosmic rays ionize thousands of atoms in the body each second. There must exist some mechanism, repair or
excretion, that prevents all but one in billion
ionized atoms from proceeding to form a tumor. Nonetheless
it is widely, but erroneously, believed that only mutagenic compounds can
lead to a linear dose relationship. The
initial step of modifying a cell to start a tumor is probably only one step
in cancer formation and any step can be modified. Indeed
the idea of the 1970s that genotoxic materials are especially carcinogenic
and only genotoxic materials can give a low dose linearity runs into many
troubles and cannot be sustained as a general principle.
It is likely that the major action of even genotoxins in the environment
is to promote a cancer already initiated by natural processes.
The multistage models, although originating in the 1930s were developed
by Doll and Armitage (1954, 1957) to describe the distribution of cancer as
a function of age. To do this they found that
it was necessary to consider that cancers develop in 4 or 5 stages and that
each stage may be influenced by a different biological mechanism. In applying the model to cancers caused by anthropogenic
activity they suggested that one (or at most two) stages be influenced by
pollutants. Inherent in this description was
the assumption that this influence would act in the same way as whatever
in the background influenced this stage.
It was evident in 1954 that, given this assumption, at low doses
of pollutants that the effect would be linear with dose and effects of different
pollutants would add. But at high doses, a multiplicative
synergism between two pollutants would naturally occur as the probability
of a stage exceeds the background probability in two separate stages. According to these ideas, therefore, non genotoxic
substances are as likely to lead to a linear dose response as genotoxic substances.
Crump et al. (1976) and Guess et al. (1977) pointed out that the
argument for low dose linearity is far more general than the Doll Armitage
theory and depends solely on the fact that cancers caused by the pollutant
and natural (background) processes are indistinguishable
and therefore it is likely that the pollutant and the background act in a
similar way at some stage in the cancer induction process. Crawford and Wilson (1996) showed that the argument
is even more general and applies to a wide variety of non-cancer outcomes.
These analyses were used by US EPA 25 years ago as a justification
for assuming low dose linearity as a general default.
But the issue arises how to derive the low dose slope from high dose
data. Unfortunately EPA's attempts confused the
issue. Their use of the words "Linearized MultiStage
(LMS) model" implied more biological and mathematical justification than
existed. Zeise et al (1987) objected in vain
and proposed that they more honestly say "truncated polynomial model". More recently Cox (1997) and Chiu et al. (1999) have
produced a most welcome precise mathematical formulation.
These general ideas should therefore be used to suggest a dose-response
relationship for the internal cancers produced by arsenic.
The default will then be linear at low doses.
When combined with a desire of the US EPA to regulate any (lifetime)
risk larger than one in a million there are difficulties.
The dose for a one in a million risk is between 1 and 5 parts per
trillion when lung, kidney and bladder cancers
are all included. Background levels exceed this
by a factor of 1000! This then is the core
of the problem regulators have faced for the last 14 years in considering
the standard for arsenic in drinking water.
There is general agreement that one should use "scientifically motivated
risk assessment" whenever possible, although there is far less agreement about
what that means. I contend that the general (default)
arguments above are very scientific. What
data, direct or indirect, might be obtained to move away from the default? In this problem I find that most of the
discussions of toxicologists are not helpful since they fail to discuss the
natural processes at the same time as they discuss their ideas about arsenic
related processes. Indeed the whole world
was misled by a misunderstanding of animal toxicology.
Rats and mice cannot (easily) be persuaded to get cancer from arsenic. Ergo, men cannot get cancer either and for a century
(1888 to 1986) data that suggested otherwise
(albeit with small statistical samples) were discounted and thought to be
in error.
The task for a toxicologist who wishes to depart from the linear
default is a daunting one. It is insufficient
for him/her to have a theory that describes how arsenic produces a cancer,
unless that theory also describes how the natural cancers occur and whether
there is a difference. I am unaware of any such
complete description.
But an important purpose of the mathematical models must be to point
out where scientific (usually biological) data will be most useful in elucidating
the low dose behavior. Statistical sampling errors
would prevent any direct demonstration of a threshold in internal cancers
if such a threshold were at 50 ppb or below. But
we can ask an indirect (but leading) question. Are
internal cancers always preceded by, or accompanied by, a skin lesion? As stated the answer must be no. For with no arsenic exposure at all (natural background)
there exist internal cancers. But I note
that at arsenic levels of 500 ppb the rate of skin lesions is only about
20%. Then we can modify the question: "at 500 ppb is the increase in internal cancers solely
among those with skin tumors, or is it also among the larger group of persons
without skin tumors?" If the former, then I would
argue that the dose response for the internal cancers might well follow that
for the skin lesions and show a threshold. For
example, if the ideas of Dr Menzel presented at the 4th International arsenic
conference at San Diego are correct I would expect just such a difference
in the epidemiological studies. It is of course
important to select in a blind fashion, persons with the 500 ppb exposure
BEFORE asking whether or not they have skin lesions or internal lesions.
This question is very similar to that asked by Dr Mereweather, Chief
Inspector of Factories in UK in 1938. "Is it
asbestos, or the asbestosis caused by asbestos, which is the cause of the
lung cancers? For if the former, a linear dose
response relationship is likely from the Crump et al. arguments, if the latter
then a threshold is probable. It is also similar
to the question asked about benzene: "are the
leukemias caused by benzene always preceded by pancytopenia or not?" For if the former, a threshold is probable. I note that neither in the asbestos case nor in the
benzene case has a definitive answer yet been
forthcoming, and EPA assume the linear default.
How should society cope with default linearity?
The above merely notes what a default risk assessment might be. It should not by itself be used to argue for any
particular level for an arsenic standard. I
note that if the default linear dose response applies to radiation induced
cancers also, as is often believed, in spite
of Dr Cohen'. s studies that show unequivocally that lung cancer rates are
LOWER in counties with high radon levels than in counties with low radon
levels, then the lifetime risk at the level of the natural background radiation
is about 0.2%. This is about the risk of arsenic
at a 5 ppb concentration of arsenic in the drinking water - including a water
equivalent of arsenic in the foodstuffs.
Neither radiation nor arsenic can be regulated at a one in a million
level. As I have stated publicly many times in
the last 21 years EPA cannot do so consistently. Their
attempts to do so are arbitrary, capricious and possibly illegal. Society, Congress representing the society, and EPA
executing the will of Congress, must come to grips with this issue.
Since society has coped moderately well with radiation, I suggest
that regulation of arsenic should follow similar rules.
Many years ago the International Commission on Radiation Protection
(ICRP) proposed that average anthropogenic radiation doses to the public
be kept below 170 mrem/year, although individuals might reach 500 mrem/yr. 500 mrem/yr adds a risk, assuming a linear
no threshold theory with the usual slope of nearly 1%.
In order to achieve this society has set a few rules, such as the
NRC rule that radiation levels at the site boundary of a nuclear power plant
should be kept less that 10 mrem/yr. But the
main rule is As Low As Reasonably Achievable (ALARA) which could apply to
arsenic (and many other pollutants) also. This
was interpreted (although not yet applied very often) by NRC (1976) as meaning
that society should spend $1000 per Man Rem on reducing exposure, (updated
in 1992 to account for inflation and political correctness) to $200,000 per
person Sievert and the implication (not always followed) is that ONE SHOULD
NOT SPEND MORE. Using a slope of an assumed
linear dose response of one fatal cancer per 30 Sv a linear dose response
and the usual slope, this corresponds to about $6,000,000 per calculated
cancer averted. I note that this is about the
same as the $4,000,000 per statistical life that EPA proposed in summer 1998
for cost benefit calculations but a little less than EPA proposed in discussion
of the proposed arsenic standard.
Although it has been said that consistency is a refuge of small minds, it is worth enquiring what consistency between regulation
of radiation exposure and of arsenic exposure would entail. For arsenic, a literal following of ICRP would
lead to an acceptance of 50 ppb as a principle, with rules to keep individual
exposure from single large facilities below 1 ppb.
An ALARA principle could be that one should spend a sum of $1,000,000
per person-ppb to reduce arsenic exposure. (At
a concentration of 1 ppb the risk is about 25% and 25% of $4,000,000 is $1,000,000). The 1996 Amendments to the Safe Drinking Water
Act (SDWA) for the first time explicitly granted EPA discretionary authority,
if it determines that the technically feasible level does not justify the
costs, to adjust the standard to a level that maximizes health risk reduction
benefits at a cost that is justified by the benefits.
Now that this discretionary authority exists, there seems to me no
good reason why the EPA should not use cost explicitly in the discussion
of alternatives and come into line with the thinking of risk analysts world-wide
and recent thinking of other regulatory bodies.
Voluntary compliance
It is clear that the main cost burden of nation-wide compliance with
a reduced arsenic standard will fall upon some small towns in the western
states. At the 4th International arsenic conference
a representative from a small California town complained about this. But if he fails to meet the new standard, those
affected are only his voters and not any do-gooders on the eastern seaboard. Following
this line of reasoning I suggest an alternative to the compulsion that the
EPA proposed on May 24th. There should
be an absolute limit of 50 ppb as now, compulsory for all.
Above this level health effects have been definitively observed and
below it they have not. Each water district
would be at liberty to vote on whether to adopt a lower standard of 3, 5,
10 or 20 ppb and could do so if they could justify to EPA that this meets
the ALARA principle. This justification would
be based on the exposure averaged over time and averaged over people to arsenic
laden water not the peak exposure. A standard
of 50 ppb probably leads to average exposures in a community of 20 ppb. Then this economic rule suggests that a community
of 1000 people should be willing to spend $20 million to reduce their exposure
below the 450 ppb standard, but not more. Since
most of the water supplied to a household is used for functions such as flushing
a toilet, or bathing, and since dermal absorption and evaporation of arsenic
is small, a community should be permitted the option of switching to bottled
water for drinking and leaving the standard alone.
Long-term disposal of arsenic
More important, however, are the long term implications of bringing
arsenic from secure storage below the ground to the environment above the
ground. Of course we have been doing that in
mining activities for 3000 years. In Bangladesh,
for example, much irrigation is by water from arsenic-laden tube wells. The arsenic can build up and cause the arsenic level
in foodstuffs to steadily increase. In
considering this EPA should be guided by a similar concern that has been
expressed for high level nuclear waste. Here
there is considerable concern that the waste is long lived, and cannot be
broken down as one hopes that organic chemicals are broken down with time. Half lives of thousands of years cause concern. But I note that the half life of arsenic is
infinite. Fortunately we no longer spray 40,000
tons a year (20,000 tons imported) on our crops and forget about it. But, in line with our concerns about materials which
are carcinogenic solely because of their radioactivity (where we insist on
accurate tracking of radioactive sources), we might insist that ANY quantity
of arsenic greater than 1 gram be tracked. The
arsenic, being carcinogenic for ever, should obviously be placed in a landfill
at least as secure as planned (at Yucca Mountain for example) for long lived
nuclear waste. In line with the EPA requirement
that no one s radiation exposure be increased by more than 2 mrem per year
if there is an accident at a nuclear repository, EPA should demand that no
one s exposure to arsenic be increased by more than 1/4 ppb as a result of
an accident at an arsenic repository. For
arsenic of course this must be satisfied for ever, in contrast to the nuclear
requirement of a few thousand years.
If these suggested rules for arsenic seem unreasonably stringent
to you, then I suggest that you recommend to those at EPA and NRC that are
considering the matter that rules for the comparable hazards of radioactive
materials be modified to match whatever rules you finally adopt for arsenic.
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