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Correspondence

Obesity and Cancer

N Engl J Med 2003; 349:502-504July 31, 2003

Article

To the Editor:

In the abstract of their article on overweight, obesity, and mortality from cancer, Calle et al. (April 24 issue)1 conclude, “Increased body weight was associated with increased death rates for all cancers combined and for cancers at multiple specific sites.” However, if one looks at the data for men (alas, this does not hold true for women), one sees that the relative risk of cancer among men who were “grade 1 overweight” (body-mass index [the weight in kilograms divided by the square of the height in meters], 25.0 to 29.9), as compared with men in the “normal range” (body-mass index, 18.5 to 24.9) is 0.97. Since 29,227 of the men studied fell into these two categories of body-mass index, whereas only 3076 had a higher body-mass index, this conclusion is diametrically opposed to what the data show to be true for more than 90 percent of this population of men — and presumably for any similarly stratified population of men. Thus, the advice implied in the conclusion of the abstract is exactly contrary to what the data suggest would be good advice.

Marshall E. Deutsch, Ph.D.
41 Concord Rd., Sudbury, MA 01776-2328

1 References
  1. 1

    Calle EE, Rodriguez C, Walker-Thurmond K, Thun MJ. Overweight, obesity, and mortality from cancer in a prospectively studied cohort of U.S. adults. N Engl J Med 2003;348:1625-1638
    Full Text | Web of Science | Medline

To the Editor:

Calle et al. attempt to estimate the fraction of deaths due to cancer in the U.S. population that are attributable to overweight and obesity by using multivariate-adjusted relative risks and the distribution of body-mass index in the subgroup of the current population that is 50 to 69 years old. The formula they cite for the calculation of the population attributable fraction is appropriate for unadjusted relative risks1; the use of adjusted relative risks in this formula is incorrect and can result in biased estimates.2,3 With adjusted relative risks, the population attributable fraction should be calculated on the basis of the distribution of body-mass index among persons who have died of cancer. Both the distribution of body-mass index and the rate of death due to cancer vary according to age, race, smoking status, and other confounding factors. When there is confounding, the expected distribution of body-mass index among persons who have died of cancer cannot be calculated directly from the distribution of body-mass index in the general population, because the distribution of confounding factors will also affect the distribution of body-mass index among persons who died of cancer. Estimates of the population attributable fraction that are calculated on the basis of adjusted relative risks and the distribution of body-mass index in the general population without taking into account the distribution of confounding factors may be biased.

Katherine M. Flegal, Ph.D.
Centers for Disease Control and Prevention, Hyattsville, MD 20782

David F. Williamson, Ph.D.
Centers for Disease Control and Prevention, Atlanta, GA 30341

Barry I. Graubard, Ph.D.
National Cancer Institute, Bethesda, MD 20892

3 References
  1. 1

    Kleinbaum DG, Kupper LL, Morgenstern H. Epidemiologic research: principles and quantitative methods. Belmont, Calif.: Lifetime Learning, 1982.

  2. 2

    Rockhill B, Newman B, Weinberg C. Use and misuse of population attributable fractions. Am J Public Health 1998;88:15-19
    CrossRef | Web of Science | Medline

  3. 3

    Benichou J. A review of adjusted estimators of attributable risk. Stat Methods Med Res 2001;10:195-216
    CrossRef | Web of Science | Medline

To the Editor:

Calle et al. report that obesity is a risk factor for cancer-related death, but although they adjusted their analyses for multiple potential confounders, they did not address two important statistical issues: the sensitivity of relative risk to proportional hazards and the potential for artifacts in evaluations of cancer-specific risk among adults who may have other diseases. Since the authors did not give readers access to their raw data or present a summary of the data that is adequate for an evaluation of these phenomena, a simulation must suffice to demonstrate these points. Suppose there were equal frequencies of death due to cancer and death from causes other than cancer (e.g., cardiovascular disease) among nonobese adults, with a common median survival of 80 years. In the group of obese adults, suppose there was a shift toward an earlier age at death due to cardiovascular disease and a higher frequency of death due to cardiovascular disease, with a corresponding reduction in the rate of cancer-related death. Figure 1Figure 1Obesity and the Risk of Death Due to Cancer. shows the anomalous effect of a decrease in cancer-specific survival among obese adults, which is further overstated by the use of the relative risk.1 Without full consideration of competing risks,2-4 the authors' conclusion is debatable, even though the overall danger of obesity is not.

Paul H. Frankel, Ph.D.
City of Hope National Medical Center, Duarte, CA 91010-3000

4 References
  1. 1

    Frankel P, Longmate J. Parametric models for accelerated and long-term survival: a comment on proportional hazards. Stat Med 2002;21:3279-3289
    CrossRef | Web of Science | Medline

  2. 2

    Gooley TA, Leisenring W, Crowley J, Storer BE. Estimation of failure probabilities in the presence of competing risks: new representations of old estimators. Stat Med 1999;18:695-706
    CrossRef | Web of Science | Medline

  3. 3

    Fine JP, Gray RJ. A proportional hazards model for the subdistribution of a competing risk. J Am Stat Assoc 1999;94:496-509
    CrossRef | Web of Science

  4. 4

    Tsiatis A. A nonidentifiability aspect of the problem of competing risks. Proc Natl Acad Sci U S A 1975;72:20-22
    CrossRef | Web of Science | Medline

To the Editor:

Calle et al. may have exaggerated the risk of death due to cancer associated with a body-mass index of 25.0 or higher. Mortality from all types of cancer was actually lowest among overweight men. Furthermore, the authors' assertion that “more than 90,000 deaths per year from cancer might be avoided if everyone in the adult population could maintain a body-mass index under 25.0 throughout life” is questionable. Most adults in the United States gain weight as they age. Over a 16-year period, the average U.S. adult's body-mass index might be expected to increase by 1 to 2 units.1 Approximately 10 percent of adults have an increase in body-mass index of at least 5 units over a period of just 10 years.2 Thus, it is probable that a number of persons who were in the apparently low-risk body-mass–index range in 1982 could have been in the overweight range 16 years later. It is also worth noting that data from the American Cancer Society Cancer Prevention Study I revealed that in virtually all subgroups analyzed, intentional weight loss was not associated with a lower rate of death due to cancer, nor was unintentional weight gain associated with an increased rate of death due to cancer.3,4

Glenn A. Gaesser, Ph.D.
University of Virginia, Charlottesville, VA 22904

4 References
  1. 1

    Williamson DF, Kahn HS, Remington PL, Anda RF. The 10-year incidence of overweight and major weight gain in US adults. Arch Intern Med 1990;150:665-672
    CrossRef | Web of Science | Medline

  2. 2

    Williamson DF. Descriptive epidemiology of body weight and weight change in U.S. adults. Ann Intern Med 1993;119:646-649
    Web of Science | Medline

  3. 3

    Williamson DF, Pamuk E, Thun M, Flanders D, Byers T, Heath C. Prospective study of intentional weight loss and mortality in never-smoking overweight US white women aged 40-64 years. Am J Epidemiol 1995;141:1128-1141[Erratum, Am J Epidemiol 1995;142:369.]
    Web of Science | Medline

  4. 4

    Williamson DF, Pamuk E, Thun M, Flanders D, Byers T, Heath C. Prospective study of intentional weight loss and mortality in overweight white men aged 40-64 years. Am J Epidemiol 1999;149:491-503
    Web of Science | Medline

To the Editor:

Calle et al. report that a body-mass index of 35.0 or higher was associated with higher rates of mortality from cancer. However, this connection does not prove that obesity causes or contributes to cancer directly. Although the statistical model was adjusted for a number of potential confounders, there was no discussion of the effect of these variables, apart from that of smoking status. Furthermore, there may be differences within populations of overweight adults. For example, differences between subgroups of persons who follow different diets with similar caloric intake could be examined through the comparison of typical Western diets with Mediterranean diets. Although the accompanying Perspective article by Adami and Trichopoulos1 highlights the finding that caloric restriction in laboratory animals reduces the incidence of cancer and, presumably, obesity, these animals are usually fed ad libitum and confined. Therefore, these models cannot necessarily be extrapolated to humans. The effect of potential lifestyle-related and behavioral factors on the risk of cancer, as well as differences within overweight populations, should be examined. The identification of a causal factor in the cancer epidemic that is linked to obesity may provide the evidence necessary to induce overweight people and other people at increased risk to adopt healthier lifestyles and eating habits.

John A. Smith, Ph.D.
803 Reading Ct., West Chester, PA 19380

1 References
  1. 1

    Adami H-O, Trichopoulos D. Obesity and mortality from cancer. N Engl J Med 2003;348:1623-1624
    Full Text | Web of Science | Medline

Author/Editor Response

The comments of Flegal et al. regarding the formula we used to estimate the population attributable fraction are technically correct. Moreover, we were aware that, within a given population, the population attributable fraction may be more accurately estimated with the use of a formula based on the distribution of the prevalence of exposure among persons who died of cancer if the relative risks are adjusted for confounders.1 In fact, within our cohort, we calculated the population attributable fraction using both the formula cited in the footnote to Table 4, which relies on the prevalence of exposure among all subjects in the Cancer Prevention Study II according to the number of person-years at risk, and the formula suggested by Flegal et al., which relies on the prevalence of exposure among subjects in the study who died of cancer. The results were identical. However, with the use of either formula, these results estimated the proportion of deaths due to cancer among the subjects in the study that could be attributed to obesity.

The public health effect of obesity in this country cannot be measured by calculating the population attributable fraction in a relatively lean population. Far more important to the magnitude of the population attributable fraction than the potential bias that Flegal et al. point out is the absolute prevalence of overweight and obesity in the population under consideration.

Our desire was to estimate the proportion of deaths that may be attributable to obesity in a population with a prevalence of overweight and obesity similar to that in the United States at the present time. To derive such an estimate, we assumed that the relative risks found in our study represented valid estimates that were reasonably generalizable to the U.S. population. The absolute levels of overweight and obesity in the study cohort are not generalizable to the U.S. population, and this is why we chose not to use a formula for the population attributable fraction that was based on the prevalence of exposure in our cohort.

Dr. Deutsch questions whether overweight men (with a body-mass index between 25.0 and 29.9) are actually at lower risk for death from cancer than normal-weight men because the relative risk for this group was 0.97. In the subgroup of men in this body-mass–index group who had never smoked, the relative risk was 1.11, which we believe to be the more valid estimate of risk, as previously discussed.

We do not agree with Dr. Frankel's suggestion that our results represent an anomalous effect of competing risks. Dr. Gaesser suggests that our study would have been stronger if we had obtained measurements of weight continuously throughout the follow-up period, and he is correct. He also correctly notes that our study does not address the issues of weight gain and weight loss.

Eugenia E. Calle, Ph.D.
Carmen Rodriguez, M.D., M.P.H.
Michael J. Thun, M.D., M.P.H.
American Cancer Society, Atlanta, GA 30329-4251

1 References
  1. 1

    Rockhill B, Newman B, Weinberg C. Use and misuse of population attributable fractions. Am J Public Health 1998;88:15-19
    CrossRef | Web of Science | Medline

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    Esa M. Davis, Kurt C. Stange, Ralph I. Horwitz. (2010) Childbearing, Stress and Obesity Disparities in Women: A Public Health Perspective. Maternal and Child Health Journal
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  2. 2

    Esa Davis, Christine Olson. (2009) Obesity in Pregnancy. Primary Care: Clinics in Office Practice 36:2, 341-356
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  3. 3

    S. M. Bernard. (2004) BERNARD RESPONDS. American Journal of Public Health 94:1, 9-9
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  4. 4

    M. J. Brown, P. J. Meehan. (2004) HEALTH EFFECTS OF BLOOD LEAD LEVELS LOWER THAN 10 MG/DL IN CHILDREN. American Journal of Public Health 94:1, 8-9
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