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Public health impact of extremely low-frequency electromagnetic fields.


INTRODUCTION: The association between exposure to extremely low-frequency electric and magnetic fields magnetic fields,
n.pl the spaces in which magnetic forces are detectable; created by magnetostrictive ultrasonic scalers to cause the tips of instruments such as ultrasonic scalers to vibrate.
 (ELF) and childhood leukemia leukemia (lkē`mēə), cancerous disorder of the blood-forming tissues (bone marrow, lymphatics, liver, spleen) characterized by excessive production of immature or mature  has led to the classification of magnetic fields by the International Agency for Research on Cancer The International Agency for Research on Cancer (IARC, or CIRC in its French acronym) is an intergovernmental agency forming part of the World Health Organisation of the United Nations.

Its main offices are in Lyon, France.
 as a "possible human carcinogen carcinogen: see cancer.
carcinogen

Agent that can cause cancer. Exposure to one or more carcinogens, including certain chemicals, radiation, and certain viruses, can initiate cancer under conditions not completely understood.
." This association is regarded as the critical effect in risk assessment. Creating effective policy in light of widespread exposure and the undisputed value of safe, reliable, and economic electricity to society is difficult and requires estimates of the potential public health impact and associated uncertainties.

OBJECTIVES: Although a causal causal /cau·sal/ (kaw´z'l) pertaining to, involving, or indicating a cause.

causal

relating to or emanating from cause.
 relationship between magnetic fields and childhood leukemia has not been established, we present estimates of the possible pubic pubic /pu·bic/ (pu´bik) pertaining to or situated near the pubes, the pubic bone, or the pubic region.

pu·bic
adj.
1.
 health impact using attributable fractions to provide a potentially useful input into policy analysis under different scenarios.

METHODS: Using ELF exposure distributions from various countries and dose-response functions from two pooled analyses, we calculate country-specific and worldwide estimates of attributable fractions (AFs) and attributable cases.

RESULTS: Even given a wide range of assumptions, we find that the AF remains < 10%, with point estimates ranging from < 1% to about 4%. For small countries with low exposure, the number of attributable cases is less than one extra case per year. Worldwide the range is from 100 to 2,400 cases possibly attributable to ELF exposure.

CONCLUSION: The fraction of childhood leukemia cases possibly attributable to ELF exposure across the globe appears to be small. There remain, however, a number of uncertainties in these AF estimates, particularly in the exposure distributions.

KEY WORDS: attributable fraction, ELF, extremely low-frequency electromagnetic fields electromagnetic field

Property of space caused by the motion of an electric charge. A stationary charge produces an electric field in the surrounding space. If the charge is moving, a magnetic field is also produced. A changing magnetic field also produces an electric field.
, health impact, health policy. Environ en·vi·ron  
tr.v. en·vi·roned, en·vi·ron·ing, en·vi·rons
To encircle; surround. See Synonyms at surround.



[Middle English envirounen, from Old French environner
 Health Perspect 114:1532-1537 (2006). doi:10.1289/ehp.8977 available via http://dx.doi.org/ [Online 22 June 2006]

**********

There has been considerable scientific research to understand the potential link between residential and occupational exposures to power-frequency electric and magnetic fields (ELF) and the occurrence of cancer and other diseases. The "limited" association between childhood leukemia and ELF found in epidemiologic studies epidemiologic study A study that compares 2 groups of people who are alike except for one factor, such as exposure to a chemical or the presence of a health effect; the investigators try to determine if any factor is associated with the health effect  (evidence from epidemiologic studies is a major force in driving ELF risk assessments), along with "inadequate" animal data, has led to the classification of magnetic fields by the International Agency for Research on Cancer (IARC) as a "possible human carcinogen" (IARC 2002). Because childhood leukemia is the outcome for which the scientific evidence is strongest, it can be regarded as the critical effect in risk assessment and risk evaluation.

The combination of the association of childhood leukemia with low-level, chronic exposures on the one hand and the widespread exposures to ELF on the other have made it both necessary and difficult to develop consistent public health policies on ELF exposure. The need for such policies results from the undisputed value of safe, reliable, and economic electricity to society to maintain all the benefits that this provides. Creating effective policy in light of these critical considerations requires an estimate of the potential public health impact and associated uncertainties.

The attributable fraction (AF) can be used to inform policies on ELF exposure. The AF, based on an established exposure-disease relationship, is the proportion of the caseload case·load  
n.
The number of cases handled in a given period, as by an attorney or by a clinic or social services agency.


caseload
Noun
 (of disease) that is attributable to the exposure, assuming there is a causal relationship. Hence, the AF can be used to estimate the degree of incidence reduction that would be expected if the observed association were real and if exposure were reduced. In this article we begin with a description of what is known about ELF exposure distributions in various countries. Then, we calculate country-specific and worldwide estimates of AF and attributable cases based on dose-response functions of ELF and childhood leukemia from two major pooled analyses. We conclude with a discussion of the variability and uncertainty in these estimates. Although the causal relationship between magnetic fields and childhood leukemia has not been established (IARC 2002; Kheifets et al. 2005a, 2005b), we present estimates of the possible pubic health impact to provide potentially useful input into policy analysis.

Methods

Exposure distributions. When evaluating the risks from exposure to any biologically active agent--physical, biological, or chemical--it is important to understand the distribution and magnitude of the exposure in the general population. To effectively quantify Quantify - A performance analysis tool from Pure Software.  the risks of childhood leukemia, if any, from exposure to ELF, we must first obtain some estimate of the degree of exposure in children. These exposures differ from country to country because of a number of factors, most notably the frequency and voltage used for power distribution, and population density. In the absence of a known or even plausible biophysical mechanism on which to base an etiologically relevant exposure measure, the exposure summary used in most epidemiologic studies has been the time-weighted average field. There are two types of studies from which the exposure distribution is extracted: a) exposure surveys to provide estimates of the exposure prevalence in the population (P0), and b) case series from case-control studies case-control study,
n an investigation employing an epidemiologic approach in which previously existing incidents of a medical condition are used in lieu of gathering new information from a randomized population.
 to provide estimates of P0 (prevalence in controls) and the exposure prevalence in children with childhood leukemia (P1). Each of these sources provides some advantages. Case-control studies provide most relevant measurements of exposure and focus on a 24-hr or longer measurement in the child's bedroom. Estimates from case-control studies, however, might be biased if, for example, restrictions on the population (e.g., to live within a certain distance of power lines) make the case-exposure prevalence in the study different from the population prevalence; this bias renders unusable the case and control prevalence estimates from studies with exposure-related restrictions. Even if cases were representative of the population, the controls would not be representative if matching has been done and the matching factors are associated with exposure; in that case the P0 estimate from the study would be biased upward, toward P1. Fortunately, the most common matching factors were child's age and sex, which appear to be almost independent of exposure in the studies (Greenland 2001a). Exposure surveys, on the other hand, typically include both children and adults, as well as personal measurements throughout the day, and thus are only tangentially tan·gen·tial   also tan·gen·tal
adj.
1. Of, relating to, or moving along or in the direction of a tangent.

2. Merely touching or slightly connected.

3.
 related to the exposure in the child's bedroom. At the very least the use of both of these sources provides a range of relevant exposures and subsequently a range of impact measures for consideration.

Five extensive surveys have been conducted to evaluate ELF exposures of the general population [Brix et al. 2001; Decat et al. 2005; Electric Power Research Institute (EPRI EPRI Electric Power Research Institute
EPRI European Parliaments Research Initiatives
) 1993; EMF Rapid EMF RAPID Electric and Magnetic Fields Research And Public Information Dissemination Program  Program 1998; Yang yang (yang) [Chinese] in Chinese philosophy, the active, positive, masculine principle that is complementary to yin; see yin, under principle.  et al. 2004]. These surveys generally estimate that approximately 4-5% had mean exposures > 0.3 [micro]T with the exception of Korea where 7.8% had mean exposures > 0.3 [micro]T. Only 1-2% has median exposures in excess of 0.4 [micro]T. See Tables 1 and 2 for details of the exposure distributions used.

Estimating exposures using the case exposures from case-control studies allows us to look at a broader spectrum of countries and results in a range of 0.5-6.6% having mean exposures > 0.3 [micro]T and 0.5-3.3% having median exposures > 0.4 [micro]T. Two countries, the United States United States, officially United States of America, republic (2005 est. pop. 295,734,000), 3,539,227 sq mi (9,166,598 sq km), North America. The United States is the world's third largest country in population and the fourth largest country in area.  and Germany, had both exposure surveys and case-control studies. In the United States the mean exposures were virtually equal from the two methods, but the case-control median estimates were less than the survey median estimates. In Germany the case-control mean exposure estimates were substantially smaller than the survey estimates (median estimates were not available for the case-control study), which could be due to regional differences and the inclusion of occupational exposures in the survey estimates. In some studies the exposure distribution for 0.2-0.3 and 0.3-0.4 [micro]T had to be estimated, as data were given only for the 0.2-to 0.4-[micro]T intervals; the ratio from the U.S. Rapid Survey (EMF Rapid Program 1998; 7.8% for 0.2-0.3 [micro]T and 2.4% for 0.3-4 [micro]T) was used to calculate these estimates.

In addition to assuming no significant difference in the exposure distributions based on exposure surveys and case-control studies, we have assumed that exposures obtained using personal measures are equivalent to those from household measurements, regardless of the length of time of measurement and regardless of whether they were for children or adults. This last assumption was tested using average and geometric mean (mathematics) geometric mean - The Nth root of the product of N numbers.

If each number in a list of numbers was replaced with their geometric mean, then multiplying them all together would still give the same result.
 household measurements (bedroom and home) from the U.S. Rapid Survey (EMF Rapid Program 1998), which included a sample of both children and adults. A two-sample t-test with equal variances comparing the distributions of the log of the average measurements of total home exposure showed no significant difference between the distributions for children (< 15 years) and adults ([greater than or equal to] 15 years). Also, no significant difference was found between the adult and child distributions of the log of the geometric mean of total household exposure. The tests described above assumed that the log of the exposure is normally distributed, an assumption that we tested and found to fit the data well. Additional tests were conducted using either the Pearson chi-square or Fisher's exact tests Fisher's exact test

a statistical test for association in a two-by-two table based on the exact hypergeometric distribution of the frequencies within the table.
 to compare the percent of people > 0.3 or 0.4 [micro]T for children and adults; these tests showed no significant difference in the percent of children and adults above these exposure levels for total household ELF exposure.

Dose response. Dose-response functions from two pooled analyses were used for estimating the risk ratios (RRs). In one pooled analysis based on nine well-conducted studies, virtually no excess risk was noted for exposure to ELF magnetic fields < 0.4 [micro]T geometric mean exposure and a 2-fold excess risk was seen for exposure > 0.4 [micro]T: The effect estimates and associated 95% confidence intervals confidence interval,
n a statistical device used to determine the range within which an acceptable datum would fall. Confidence intervals are usually expressed in percentages, typically 95% or 99%.
 (CIs) for all categories in relation to the lowest exposure category of < 0.1 [micro]T are as follows: 1.08 (0.89-1.31) for exposures 0.1 [micro]T to < 0.2 [micro]T, 1.11 (0.84-1.47) for 0.2 [micro]T to < 0.4 [micro]T, and 2.00 (1.27-3.13) for exposures [greater than or equal to] 0.4 [micro]T (Ahlbom et al. 2000).

The other pooled analysis included 15 studies based on less restrictive inclusion criteria
For Wikipedia's inclusion criteria, see: What Wikipedia is not.


Inclusion criteria are a set of conditions that must be met in order to participate in a clinical trial.
 and used 0.3 [micro]T arithmetic mean (mathematics) arithmetic mean - The mean of a list of N numbers calculated by dividing their sum by N. The arithmetic mean is appropriate for sets of numbers that are added together or that form an arithmetic series.  exposure as the highest cutpoint (Greenland et al. 2000). The effect estimates and associated 95% CI for all categories in relation to the lowest exposure category of [less than or equal to] 0.1 [micro]T are as follows: 1.01 (0.84-1.21) for exposures > 0.1 [micro]T to [less than or equal to] 0.2 [micro]T, 1.06 (0.78-1.44) for > 0.2 [micro]T to [less than or equal to] 0.3 [micro]T, and 1.68 (1.23-2.31) for exposures > 0.3 [micro]T (Greenland et al. 2000).

Overall, the two analyses are in close agreement, but one of the differences between the two pooled analyses is in the exposure metric used: Ahlbom et al. (2000) examined the association between the geometric mean ELF level and childhood leukemia in 9 epidemiologic studies, whereas Greenland et al. (2000) used the arithmetic mean to examine this association in 12 studies. The other difference between the analyses of Ahlbom et al. and Greenland et al. is the exposure categorization: < 0.1 [micro]T, 0.1 to < 0.2 [micro]T, 0.2 to < 0.4 [micro]T, and [greater than or equal to] 0.4 [micro]T in Ahlbom et al. (2000), and [less than or equal to] 0.1 [micro]T, > 0.1 to [less than or equal to] 0.2 [micro]T, > 0.2 to [less than or equal to] 0.3 [micro]T, and > 0.3 [micro]T in Greenland et al. (2000). Greenland (2005) extended the analysis to include 14 studies using a cut point at 0.3 [micro]T with similar results. Because most ELF exposure data are skewed skewed

curve of a usually unimodal distribution with one tail drawn out more than the other and the median will lie above or below the mean.

skewed Epidemiology adjective Referring to an asymmetrical distribution of a population or of data
, the log-normal distribution In probability and statistics, the log-normal distribution is the single-tailed probability distribution of any random variable whose logarithm is normally distributed. If Y is a random variable with a normal distribution, then X = exp(Y  is often assumed as an approximation approximation /ap·prox·i·ma·tion/ (ah-prok?si-ma´shun)
1. the act or process of bringing into proximity or apposition.

2. a numerical value of limited accuracy.
. In statistical analyses of such data, we usually take the log in order to equalize e·qual·ize  
v. e·qual·ized, e·qual·iz·ing, e·qual·iz·es

v.tr.
1. To make equal: equalized the responsibilities of the staff members.

2. To make uniform.
 the variance The discrepancy between what a party to a lawsuit alleges will be proved in pleadings and what the party actually proves at trial.

In Zoning law, an official permit to use property in a manner that departs from the way in which other property in the same locality
 among groups and to produce approximate normality normality, in chemistry: see concentration. , thereby conforming to the usual assumptions. Mathematically, the mean of the logged values is the log of the geometric mean. For this reason, a number of researchers use the geometric mean to summarize sum·ma·rize  
intr. & tr.v. sum·ma·rized, sum·ma·riz·ing, sum·ma·riz·es
To make a summary or make a summary of.



sum
 ELF exposure data. Alternatively, some authors argue that in a standard setting we need the risk at average exposure for a group to be equal to the average risk to that group (Crump crump  
v. crumped, crump·ing, crumps

v.tr.
1. To crush or crunch with the teeth.

2. To strike heavily with a crunching sound.

v.intr.
 1998). This logic then leads to using the arithmetic mean to summarize the data. Because there are arguments for using both geometric and arithmetic means, we present two sets of AF estimates, one based on each type of mean.

Attributable fraction. The AF is based on the counterfactual coun·ter·fac·tu·al  
adj.
Running contrary to the facts: "Cold war historiography vividly illustrates how the selection of the counterfactual question to be asked generally anticipates the desired answer" 
 contrast between the number of cases in a population that occur when the population is subject to a given exposure distribution and the number that would occur in the same population if that distribution were changed (e.g., if exposure were reduced or eliminated by an intervention A procedure used in a lawsuit by which the court allows a third person who was not originally a party to the suit to become a party, by joining with either the plaintiff or the defendant. ), assuming all other population characteristics remain the same. There are two basic pieces of information needed to make a crude estimate of the AF: an estimate of the exposure effect on the disease and the prevalence of exposure in the population. If no adjustment for covariates is needed, these values are simply substituted into the unadjusted (crude) AF formula (Levin lev·in  
n. Archaic
Lightning.



[Middle English levene, levin; see leuk- in Indo-European roots.]
 1953):

AFp = P0(RR - 1)/[P0(RR - 1) + 1], [1]

where AFp is the estimated AF, RR is the risk ratio estimate, and P0 is the estimated exposure prevalence in the target population. In this article we use this formula to compute To perform mathematical operations or general computer processing. For an explanation of "The 3 C's," or how the computer processes data, see computer.  the AF for exposure survey studies.

For case-control studies with adjusted odds ratios (ORs), Levin (1953) gives another formula:

AFp = P1(RRa - 1)/RRa, [2]

where RRa is the adjusted rate ratio estimate (study OR) and P1 is the exposure prevalence among the cases in the target population (Rothman and Greenland 1998).

This formula has the advantages of requiring no adjustment of P1 to be valid and is unaffected by matching controls to cases. We used both formulas, with minor differences in AF and report only the results based on the case-series exposure distribution (P1) here. To make these calculations for the ELF-childhood leukemia relation, as leukemia is a rare disease, we can assume that the OR estimates the RR. We must also assume that the risk ratio estimates the effect in the target population, that there is no bias, and that there is no change in the effect estimate moving from the study to the target population (Greenland 2004).

We also calculate the excess number of cases attributable to exposure, which was obtained by multiplying mul·ti·ply 1  
v. mul·ti·plied, mul·ti·ply·ing, mul·ti·plies

v.tr.
1. To increase the amount, number, or degree of.

2. Mathematics To perform multiplication on.
 the AF by the total number of cases. We used the reported upper and lower confidence limits of the RR to compute upper and lower bounds This article is about order theory and lattice theory. For analysis of algorithms in computational complexity, see Big O notation.

In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set (P
 of the estimated AF. It should be noted that the computed upper and lower bounds for the estimated AF holds only under the additional assumption that the exposure distribution in the population is known (or can be estimated).

Attributable numbers. Leukemia is the most common childhood malignancy malignancy: see cancer. , constituting more than one-third of all childhood cancers. For children < 15 years of age, the estimated number of new leukemia cases in 2000 was approximately 49,000 globally, translating into an incidence rate of about 3 cases per 100,000 [International Association of Cancer Registries A cancer registry is a systematic collection of data about cancer and tumor diseases. The data is collected by Cancer Registrars. Cancer Registrars capture a complete summary of patient history, diagnosis, treatment, and status for every cancer patient in the United States, and  (IACR IACR International Association for Cryptologic Research
IACR Institute for Arable Crops Research
IACR Irish Association for Cancer Research
) 2000]. See Table 3 for the global distribution of childhood leukemia incidence rates.

The number of cases attributable to EMF emf: see electromotive force.


(1) (ElectroMagnetic Field) See electromagnetic radiation.

(2) (Enhanced MetaFile) See Windows metafile.
 can be estimated by multiplying the AF by the total number of cases. The exposure distributions used to come up with country-specific AFs represent only a handful of countries across the world. We had exposure distributions, and hence AF estimates, for countries in North America North America, third largest continent (1990 est. pop. 365,000,000), c.9,400,000 sq mi (24,346,000 sq km), the northern of the two continents of the Western Hemisphere. , Europe, and Asia. To calculate a range of estimates for the attributable number (AN) for each continent, we used the lowest and highest estimates of AFs in each continent and multiplied mul·ti·ply 1  
v. mul·ti·plied, mul·ti·ply·ing, mul·ti·plies

v.tr.
1. To increase the amount, number, or degree of.

2. Mathematics To perform multiplication on.
 each by the total number of leukemia cases in the continent to come up with a range of ANs. We used the corresponding CIs of the AFs to compute a derived 95% CI for the estimated number of cases. Where there were no studies from any representative country in the continent, such as Africa, Latin America Latin America, the Spanish-speaking, Portuguese-speaking, and French-speaking countries (except Canada) of North America, South America, Central America, and the West Indies. , and Oceania, the overall lowest AF and highest AF estimates were used. Note that the Yang et al. (2004) study, which is based on a larger sample and considered more representative for non-Western regions, was used to calculate an upper range for regions with unknown levels (Latin America, Africa, Oceania).

Exposure reduction scenario. The AN numbers for high exposures are the numbers of cases that would be averted a·vert  
tr.v. a·vert·ed, a·vert·ing, a·verts
1. To turn away: avert one's eyes.

2.
 if we were to eliminate exposures > 0.3 [micro]T or 0.4 [micro]T. However, realistically, it is difficult or impossible to determine locations in which such exposures exist and to eliminate them. An alternative approach might be an attempt to reduce exposures where possible to do so at no or low cost (Kheifets et al. 2005a).

To evaluate this approach, we estimated the impact of a hypothetical Hypothetical is an adjective, meaning of or pertaining to a hypothesis. See:
  • Hypothesis
  • Hypothetical
  • Hypothetical (album)
 scenario where the population's exposure distribution is reduced by 50%; in other words Adv. 1. in other words - otherwise stated; "in other words, we are broke"
put differently
, each child receives half the exposure he or she was previously getting. A new exposure distribution was calculated to reflect this change. Because the empirical distribution of exposure measurements does not offer enough information to estimate a distribution shift, we created a calculated log-normal distribution based on the mean, standard deviation In statistics, the average amount a number varies from the average number in a series of numbers.

(statistics) standard deviation - (SD) A measure of the range of values in a set of numbers.
, and lowest observed value (0.01 [micro]T). This type of detail was available for only one of the distributions (EMF Rapid Program 1998). Hence, our calculated distribution and estimates of exposure reduction are made only for the United States. To make the current and 50% reduction scenarios more comparable, we based both computations on the calculated, rather than the actual, log-normal distribution.

Results

Country-specific estimates. We computed point estimates, as well as upper and lower estimates of AFs for countries for which we have access to an exposure distribution (Figures 1, 2). For the United States and Germany, where there were multiple distributions, the largest of the case-control studies and the largest of the exposure surveys were used. Despite large differences in the information and assumptions from different studies and countries, the estimate of AFs remains low at around 3-4% and well below 1% for some countries.

Potentially averted cases. AF and AN estimates for exposures > 0.1, 0.2, 0.3 or 0.4 [micro]T were calculated for the arithmetic mean and geometric mean exposure distributions, before and after making the 50% exposure reduction in the United States (Table 4). The differences in the ANs reflect the numbers of cases that would be potentially averted in the United States because of the 50% exposure reduction. Interestingly, 50% reduction in the lower exposure categories (which is likely to be technically impossible and/or prohibitively pro·hib·i·tive   also pro·hib·i·to·ry
adj.
1. Prohibiting; forbidding: took prohibitive measures.

2.
 expensive) results in the number of cases similar in magnitude to that which would be due to high exposure only.

Worldwide estimates. The ANs of leukemia cases were calculated for the scenarios of eliminating arithmetic mean exposure > 0.3 [micro]T and of eliminating geometric mean exposure [greater than or equal to] 0.4 [micro]T. This computation Computation is a general term for any type of information processing that can be represented mathematically. This includes phenomena ranging from simple calculations to human thinking.  was made for regions around the world, then added to obtain a global estimate (Figures 3, 4). To compute these regional estimates, we used the lowest level and highest exposure levels estimated in Tables 1 and 2 from the countries in that region to obtain a regional range. Where no information was available from any countries in the region, we used the lowest and highest exposure levels overall. Making certain assumptions about possible exposure reduction scenarios, we provide a range of ANs thought to be most useful for policymaking pol·i·cy·mak·ing or pol·i·cy-mak·ing  
n.
High-level development of policy, especially official government policy.

adj.
Of, relating to, or involving the making of high-level policy:
. Reducing exposures to < 0.3 [micro]T (arithmetic mean) or 0.4 [micro]T (geometric mean) results in a number of averted cases (assuming causality causality, in philosophy, the relationship between cause and effect. A distinction is often made between a cause that produces something new (e.g., a moth from a caterpillar) and one that produces a change in an existing substance (e.g. ) ranging from 100 to 2,400 cases annually worldwide.

Discussion

Since the first report suggesting an association between residential ELF electric and magnetic fields and childhood leukemia was published in 1979 (Wertheimer and Leeper 1979), dozens of increasingly sophisticated epidemiologic studies have examined this association. In addition numerous comprehensive reviews, meta-analyses, and two pooled analyses have been published (e.g., Ahlbom et al. 2000; Greenland et al. 2000; IARC 2002; National Institute of Environmental Health Sciences The National Institute of Environmental Health Sciences (NIEHS) is one of 27 Institutes and Centers of the National Institutes of Health (NIH),which is a component of the Department of Health and Human Services (DHHS). The Director of the NIEHS is Dr. David A. Schwartz.  1999; National Research Council 1997). Making certain assumptions about possible exposure reduction scenarios, we provide a range of ANs thought to be most useful for policymaking. Globally, there is disproportionately dis·pro·por·tion·ate  
adj.
Out of proportion, as in size, shape, or amount.



dispro·por
 more information on exposure from industrialized in·dus·tri·al·ize  
v. in·dus·tri·al·ized, in·dus·tri·al·iz·ing, in·dus·tri·al·iz·es

v.tr.
1. To develop industry in (a country or society, for example).

2.
 countries; there are a number of regions of the world, such as Africa and Latin America, where no representative information on exposure is available. Although the ORs from different study regions (when available) are similar, there are substantial differences in the exposure distributions even within countries. Comparable or larger differences are expected to exist elsewhere (e.g., exposures in China and India are probably very different from those in Korea). Therefore, the AF estimates cannot be confidently generalized gen·er·al·ized
adj.
1. Involving an entire organ, as when an epileptic seizure involves all parts of the brain.

2. Not specifically adapted to a particular environment or function; not specialized.

3.
 to developing countries. Moreover, because these calculations are highly dependent on the exposure distribution and other assumptions, they are very imprecise im·pre·cise  
adj.
Not precise.



impre·cisely adv.
. For small countries with low exposure, the number of attributable cases is less than one extra case per year. Worldwide the range is from 100 to 2,400 cases per year, possibly attributable to ELF exposure, representing a small proportion of total leukemia cases.

Uncertainty. Random error has many components, including temporal Having to do with time. Contrast with "spatial," which deals with space.  and geographic variation, inter- and intraperson varariability, as well as errors in measurement. Intraperson, temporal, and geographic variability are usually accounted for by averaging measurements made via personal monitors and/or measurements made in several locations over a specified period of time; this is essential and many ELF studies include extensive measurements, often with frequent sampling during measurement periods. Methods are available to account for errors in measurement (Carrol et al. 1995), but all studies on ELF effects ignore this aspect. Consequently, these studies most likely underestimate the true degree of uncertainty of their conclusions (Greenland 2001b, 2003, 2005; Phillips 2003).

In childhood leukemia, both pooled analyses performed in 2000 were based on large numbers and hence resulted in RR estimates with tight confidence intervals. When analyses are compared, they demonstrate consistency in the size of their effect estimates and range of confidence intervals. It appears unlikely that random variability (or chance) played a significant role in the observed effect estimates of both pooled analyses. However, this does not exclude the possibility that exposure was assessed with a large degree of random error, which could bias the observed RR toward the null A character that is all 0 bits. Also written as "NUL," it is the first character in the ASCII and EBCDIC data codes. In hex, it displays and prints as 00; in decimal, it may appear as a single zero in a chart of codes, but displays and prints as a blank space.  and introduce a lot of uncertainty into the potential dose response. All attempts to examine potential confounding confounding

when the effects of two, or more, processes on results cannot be separated, the results are said to be confounded, a cause of bias in disease studies.


confounding factor
 have not changed the risk estimates and substantial confounding from factors that do not represent an aspect of the electric or magnetic fields is unlikely. Selection bias may be partially responsible for the consistently described epidemiologic ep·i·de·mi·ol·o·gy  
n.
The branch of medicine that deals with the study of the causes, distribution, and control of disease in populations.



[Medieval Latin epid
 association between ELF and childhood leukemia (Mezei and Kheifets 2005). A large study by Linet et al. (1997) drives the overall risk estimate in both pooled analyses and may have had the greatest potential for selection bias, thereby potentially inflating the risk estimate associated with EMF exposure. Therefore, our estimates of both AFs and ANs, which are based on the pooled analyses, may similarly be overestimated

Conventional vs. Bayesian analysis Bayesian analysis A decision-making analysis that '…permits the calculation of the probability that one treatment is superior based on the observed data and prior beliefs…subjectivity of beliefs is not a liability, but rather explicitly allows . We present calculations of AFs that do not reflect any source of uncertainty other than random error and offer some informal judgments regarding the effect of possible biases. To provide additional input to policy analysis, Greenland and Kheifets (2006) employed formal Bayesian analyses to account for uncertainties about study biases as well as uncertainties about exposure distributions. They developed a model to account for the fraction attributable to exposure exceeding 0.3 [micro]T and model the log of the counts of cases as a linear function of whether the measured ELF exposure and the unmeasured (unknown) true exposure is > 0.3 [micro]T. Using data from the published literature, they formulated for·mu·late  
tr.v. for·mu·lat·ed, for·mu·lat·ing, for·mu·lates
1.
a. To state as or reduce to a formula.

b. To express in systematic terms or concepts.

c.
 plausible prior distributions for exposure parameters, rate ratios, uncontrolled confounders, and for the degree of misclassification. They then combined this information to compute the posterior posterior /pos·ter·i·or/ (pos-ter´e-er) directed toward or situated at the back; opposite of anterior.

pos·te·ri·or
adj.
1. Located behind a part or toward the rear of a structure.
 distribution of the fraction attributable to the true exposure. Their analyses support the idea that the public health impact of residential fields is likely to be limited, but the possibilities of both no impact and a large impact remain in light of the available data. The differences between their analyses and ours vary in both directions, but generally the Bayesian results produce much wider bounds than ours. Greenland and Kheifets (2006) argue that conventional analyses such as the ones presented here may be overoptimistic o·ver·op·ti·mis·tic  
adj.
Excessively optimistic.



over·opti·mism n.
 and overconfident o·ver·con·fi·dent  
adj.
Excessively confident; presumptuous.



over·con
. Nonetheless, we believe that both the conventional and Bayesian approaches offer policy analysts additional insights that should be helpful in disentangling the uncertainties inherent in this field. Using the simpler conventional methods in this article, we explore a variety of cut points, evaluate exposure reduction scenarios, and calculate worldwide estimates.

Conclusion

At present it is not possible to decide whether ELF exposure increases the risk of childhood leukemia, which is reflected in the IARC classification of magnetic fields as a "possible" carcinogen. To estimate the potential public health impact, we have calculated a range of AFs under different scenarios. Even given a wide range of assumptions, the AF remains low, with point estimates ranging from < 1% to about 4%. As the AF is highly dependent on the exposure distribution, more data are needed on exposure levels worldwide, which should be collected in a large systematic survey of an appropriately selected sample.

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Yang KH, Ju MN, Myung SH. 2004. Sample of Korean's occupational and residential exposures to ELF magnetic field over a 24-hour period. In: Abstracts of 26th Annual Meeting of the Bioelectromagnetics Society, 21-24 June 2004, Washington, DC. Washington, DC:Bioelectromagnetics Society, 188-189.

Leeka Kheifets, (1) Abdelmonem A. Afifi, (2) and Riti Shimkhada (1)

(1) Department of Epidemiology, and (2) Department of Biostatistics biostatistics /bio·sta·tis·tics/ (-stah-tis´tiks) biometry.

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, School of Public Health, University of California, Los Angeles UCLA comprises the College of Letters and Science (the primary undergraduate college), seven professional schools, and five professional Health Science schools. Since 2001, UCLA has enrolled over 33,000 total students, and that number is steadily rising. , California USA

Address correspondence to L. Kheifets,, UCLA School of Public Health The UCLA School of Public Health is the graduate school of public health affiliated with UCLA, and is located within the Center for Health Sciences building on the UCLA campus. UCLA is located in the Westwood neighborhood of Los Angeles, California. , Department of Epidemiology, 650 Charles E. Young Dr. Charles E. "Chuck" Young is currently Chancellor Emeritus and Professor at the UCLA School of Public Affairs. Under his skillful leadership and guidance, UCLA went from a regional college with an operating budget of $170 million to became a world class institution with expenses  Dr. South, Box 951772, Los Angeles Los Angeles (lôs ăn`jələs, lŏs, ăn`jəlēz'), city (1990 pop. 3,485,398), seat of Los Angeles co., S Calif.; inc. 1850. , CA 90095-1772. Telephone: (310) 825-6950. Fax: (310) 206-6039. E-mail: kheifets@ucla UCLA University of California at Los Angeles
UCLA University Center for Learning Assistance (Illinois State University)
UCLA University of Carrollton, TX and Lower Addison, TX
.edu

The authors declare a competing financial interest: The research described in this article was supported by the Electric Power Research Institute in Palo Alto, California “Palo Alto” redirects here. For other uses, see Palo Alto (disambiguation).
Palo Alto (IPA: /ˌpæloʊˈʔæltoʊ/, from Spanish: palo: "stick" and alto: "high", i.e.
.

Received 4 January 2006; accepted 22 June 2006.
Table 1. Exposure distributions of arithmetic mean ([micro]T) ELF
measurements. (a)

Country         Study                    Study type       Measurement

Belgium         Decat et al. 2005        Exposure survey  24-hr personal
Canada          McBride et al. 1999 (b)  Case-control     48-hr personal
Germany         Michaelis et al.         Case-control     24-hr bedroom
                  1998 (b)
                Brix et al. 2001         Exposure survey  24-hr personal
                Schuz et al. 2001 (c)    Case-control     24-hr bedroom
Japan           Kabuto et al. 2006 (c)   Case-control     7-day home
Korea           Yang et al. 2004         Exposure survey  24-hr personal
United Kingdom  UKCCS 1999 (c)           Case-control     48-hr home
United States   London et al. 1991 (b)   Case-control     24-hr bedroom
                Linet et al. 1997 (b)    Case-control     24-hr bedroom
                EMF Rapid Program 1998   Exposure survey  24-hr personal
                EPRI 1993                Exposure survey  24-hr home

                                         Magnetic field category
                                         ([micro]T)
                                         [less than or equal to] 0.1
Country         Study                    (%)

Belgium         Decat et al. 2005        81.9
Canada          McBride et al. 1999 (b)  58.59
Germany         Michaelis et al.         85.23
                  1998 (b)
                Brix et al. 2001         73.6
                Schuz et al. 2001 (c)    91.83
Japan           Kabuto et al. 2006 (c)   88.46
Korea           Yang et al. 2004         64.0
United Kingdom  UKCCS 1999 (c)           92.73
United States   London et al. 1991 (b)   67.90
                Linet et al. 1997 (b)    63.17
                EMF Rapid Program 1998   64.2
                EPRI 1993                72.3

                                         Magnetic field category
                                         ([micro]T)
                                         > 0.1 -
                                         [less than or equal to] 0.2
Country         Study                    (%)

Belgium         Decat et al. 2005        11.5
Canada          McBride et al. 1999 (b)  25.93
Germany         Michaelis et al.          9.66
                  1998 (b)
                Brix et al. 2001         17.8
                Schuz et al. 2001 (c)     6.42
Japan           Kabuto et al. 2006 (c)    5.77
Korea           Yang et al. 2004         24.2
United Kingdom  UKCCS 1999 (c)            5.31
United States   London et al. 1991 (b)   18.52
                Linet et al. 1997 (b)    23.82
                EMF Rapid Program 1998   21.1
                EPRI 1993                17.5

                                         Magnetic field category
                                         ([micro]T)
                                         > 0.2 -
                                         [less than or equal to] 0.3
Country         Study                    (%)

Belgium         Decat et al. 2005         1.6
Canada          McBride et al. 1999 (b)  10.77
Germany         Michaelis et al.          1.70
                  1998 (b)
                Brix et al. 2001          4.1
                Schuz et al. 2001 (c)     0.97
Japan           Kabuto et al. 2006 (c)    3.85
Korea           Yang et al. 2004          4.0
United Kingdom  UKCCS 1999 (c)            1.49
United States   London et al. 1991 (b)    3.09
                Linet et al. 1997 (b)     6.43
                EMF Rapid Program 1998    7.8
                EPRI 1993                 5.6

                                         Magnetic field category
                                         ([micro]T)
Country         Study                    > 0.3 (%)  n

Belgium         Decat et al. 2005         5.1         251
Canada          McBride et al. 1999 (b)   4.71        297
Germany         Michaelis et al.          3.          176
                  1998 (b)
                Brix et al. 2001          4.        1,952
                Schuz et al. 2001 (c)     0.7         514
Japan           Kabuto et al. 2006 (c)    1.92        312
Korea           Yang et al. 2004          7.8         409
United Kingdom  UKCCS 1999 (c)            0.47      1,073
United States   London et al. 1991 (b)   10.49        162
                Linet et al. 1997 (b)     6.58        638
                EMF Rapid Program 1998    6.6         995
                EPRI 1993                 4.6         987

UKCCS, UK Childhood Cancer Study.
(a) Based on exposure of cases in case-control studies and all
respondents in exposure surveys. (b) Based on Greenland et al. (2000)
reported distribution for pooled analysis. (c) Exposure categories:
< 0.1, 0.1 to < 0.2, 0.2 to < 0.4, [greater than or equal to] 0.4.

Table 2. Exposure distributions of geometric mean ([micro]T) ELF
measurements. (a)

Country         Study              Study type       Measurement

Belgium         Decat 2005         Exposure survey  24-hr personal
Canada          McBride et al.     Case-control     48-hr personal
                  1999 (b)
Germany         Michaelis et al.   Case-control     24-hr bedroom
                  1998 (b)
United Kingdom  UKCSS 1999 (b)     Case-control     48-hr home
United States   EMF Rapid Program  Exposure survey  24-hr personal
                  1998 (b)
                Linet et al.       Case-control     24-hr bedroom
                  1997 (b)

                                   Magnetic field category ([micro]T)
Country         Study              < 0.1 (%)  0.1 - < 0.2 (%)

Belgium         Decat 2005         91.9        4.1
Canada          McBride et al.     63.97      20.59
                  1999 (b)
Germany         Michaelis et al.   89.14       6.86
                  1998 (b)
United Kingdom  UKCSS 1999 (b)     94.87       3.54
United States   EMF Rapid Program  72.6       17.6
                  1998 (b)
                Linet et al.       70.25      18.66
                  1997 (b)

                                   Magnetic field category ([micro]T)
Country         Study              0.2 - < 0.4 (%)

Belgium         Decat 2005          2.8
Canada          McBride et al.     10.66
                  1999 (b)
Germany         Michaelis et al.    2.86
                  1998 (b)
United Kingdom  UKCSS 1999 (b)      1.21
United States   EMF Rapid Program   7.5
                  1998 (b)
                Linet et al.        8.24
                  1997 (b)

                                   Magnetic field category ([micro]T)
                                   [greater than or equal to] 0.4
Country         Study              (%)                             n

Belgium         Decat 2005         1.2                               251
Canada          McBride et al.     4.78                              272
                  1999 (b)
Germany         Michaelis et al.   1.14                              175
                  1998 (b)
United Kingdom  UKCSS 1999 (b)     0.37                            1,073
United States   EMF Rapid Program  2.3                               995
                  1998 (b)
                Linet et al.       2.86                              595
                  1997 (b)

(a) Based on exposure of cases in case-control studies and all
respondents in exposure surveys. (b) Based on Ahlbom et al. (2000)
reported distribution for pooled analysis.

Table 3. Global incidence of childhood leukemia for children < 14 years
of age in 2000.

                                    Childhood leukemia
               Population of 0- to                 Incidence rate
Region         14 year olds (a)     New cases (b)  (per 100,000)

Africa           339,631,000         3,848         1.13
Asia           1,119,233,000        31,062         2.78
Europe           127,382,000         4,878         3.83
Latin America    165,828,000         6,367         3.84
North America     68,083,000         2,841         4.17
Oceania            8,018,000           283         3.53
World          1,828,175,000        49,000         2.68

(a) Data from IACR (2000). bData from United Nations (2002).

Table 4. Point and low and high estimates (in parentheses) of the
proportion (AF) and number (AN) of cases in the United States for the
hypothetical scenario of 50% reduction in exposure of ELF.

                                              Exposures above:
Arithmetic mean                               0.1 [micro]T

Proportion of all cases attributable to         5.41% (-3.78%, 16.48%)
  exposure (AF): current exposure
  distribution (a)
Hypothetical distribution: (b) all exposures    1.27% (-2.02%, 5.29%)
  decreased by 50%
Number of cases attributable to exposure      138 (-97, 421)
  (AN): current exposure distribution
Hypothetical distribution: all exposures       32 (-52, 135)
  reduced by 50%
Number of cases averted due to exposure       105 (-45, 286)
  reduction

                                              Exposures above:
Geometric mean                                0.1 [micro]T

Proportion of all cases attributable to         3.95% (-2.83%, 12.30%)
  exposure (AF): current exposure
  distribution (a)
Hypothetical distribution: (b) all exposures    0.94% (-0.99%, 3.32%)
  decreased by 50%
Number of cases attributable to exposure      101 (-72, 315)
  (AN): current exposure distribution
Hypothetical distribution: all exposures       24 (-25, 85)
  decreased by 50%
Number of cases averted due to exposure        77 (-47, 230)
  reduction

                                              Exposures above:
Arithmetic mean                               0.2 [micro]T

Proportion of all cases attributable to         5.18% (-0.05%, 11.96%)
  exposure (AF): current exposure
  distribution (a)
Hypothetical distribution: (b) all exposures    1.16% (-0.21%, 3.02%)
  decreased by 50%
Number of cases attributable to exposure      133 (-1, 306)
  (AN): current exposure distribution
Hypothetical distribution: all exposures       30 (-5, 77)
  reduced by 50%
Number of cases averted due to exposure       103 (4, 228)
  reduction

                                              Exposures above:
Geometric mean                                0.2 [micro]T

Proportion of all cases attributable to         2.46% (-0.71%, 6.77%)
  exposure (AF): current exposure
  distribution (a)
Hypothetical distribution: (b) all exposures    0.37% (-0.20%, 1.17%)
  decreased by 50%
Number of cases attributable to exposure       63 (-18, 173)
  (AN): current exposure distribution
Hypothetical distribution: all exposures       10 (-5, 30)
  decreased by 50%
Number of cases averted due to exposure        53 (-13, 143)
  reduction

                                              Exposures above:
Arithmetic mean                               0.3 [micro]T

Proportion of all cases attributable to         4.73% (1.65%, 8.73%)
  exposure (AF): current exposure
  distribution (a)
Hypothetical distribution: (b) all exposures    1.01% (0.34%, 1.93%)
  decreased by 50%
Number of cases attributable to exposure      121 (42, 223)
  (AN): current exposure distribution
Hypothetical distribution: all exposures       26 (9, 49)
  reduced by 50%
Number of cases averted due to exposure        95 (33, 174)
  reduction

                                              Exposures above:
Geometric mean                                0.4 [micro]T

Proportion of all cases attributable to         1.67% (0.46%, 3.49%)
  exposure (AF): current exposure
  distribution (a)
Hypothetical distribution: (b) all exposures    0.20% (0.05%, 0.42%)
  decreased by 50%
Number of cases attributable to exposure       43 (12, 89)
  (AN): current exposure distribution
Hypothetical distribution: all exposures        5 (1, 6)
  decreased by 50%
Number of cases averted due to exposure        38 (10, 83)
  reduction

(a) Calculated log-normal distribution based on the EMF Rapid Program
(1998). (b) Calculated log-normal distribution based on the EMF Rapid
Program (1998), with all exposures reduced by 50%.
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Author:Shimkhada, Riti
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