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BMJ Open logoLink to BMJ Open
. 2014 Sep 17;4(9):e005629. doi: 10.1136/bmjopen-2014-005629

Estimating the risk of cardiovascular disease using an obese-years metric

Asnawi Abdullah 1,2, Fauzi Ali Amin 3, Johannes Stoelwinder 2, Stephanie K Tanamas 4, Rory Wolfe 2, Jan Barendregt 5, Anna Peeters 2,4
PMCID: PMC4166414  PMID: 25231490

Abstract

Objective

To examine the association between obese-years and the risk of cardiovascular disease (CVD).

Study design

Prospective cohort study.

Setting

Boston, USA.

Participants

5036 participants of the Framingham Heart Study were examined.

Methods

Obese-years was calculated by multiplying for each participant the number of body mass index (BMI) units above 29 kg/m2 by the number of years lived at that BMI during approximately 50 years of follow-up. The association between obese-years and CVD was analysed using time-dependent Cox regression adjusted for potential confounders and compared with other models using the Akaike information criterion (AIC). The lowest AIC indicated better fit.

Primary outcome

CVD.

Results

The median cumulative obese-years was 24 (range 2–556 obese-years). During 138 918 person-years of follow-up, 2753 (55%) participants were diagnosed with CVD. The incidence rates and adjusted HR (AHR) for CVD increased with an increase in the number of obese-years. AHR for the categories 1–24.9, 25–49.9, 50–74.9 and ≥75 obese-years were, respectively, 1.31 (95% CI 1.15 to 1.48), 1.37 (95% CI 1.14 to 1.65), 1.62 (95% CI 1.32 to 1.99) and 1.80 (95% CI 1.54 to 2.10) compared with those who were never obese (ie, had zero obese-years). The effect of obese-years was stronger in males than females. For every 10 unit increase in obese-years, the AHR of CVD increased by 6% (95% CI 4% to 8%) for males and 3% (95% CI 2% to 4%) for females. The AIC was lowest for the model containing obese-years compared with models containing either the level of BMI or the duration of obesity alone.

Conclusions

This study demonstrates that obese-years metric conceptually captures the cumulative damage of obesity on body systems, and is found to provide slightly more precise estimation of the risk of CVD than the level or duration of obesity alone.

Keywords: EPIDEMIOLOGY, PUBLIC HEALTH, VASCULAR MEDICINE, NUTRITION & DIETETICS


Strengths and limitations of this study.

  • The obese-years metric combines the number of years lived with obesity and the level of body mass index (BMI) to examine the total effect of obesity.

  • The Framingham Heart Study is a long-term prospective cohort study with approximately 50 years of follow-up, and biennial measurements of body weight, covariates and health outcomes.

  • By using time-dependent Cox proportional hazards regression, the analysis takes into account changes in covariates during study follow-up and adjusts for a large number of potential confounding variables.

  • The obese-years metric was developed based on the measurement of BMI. It is unclear whether using anthropometric measures other than BMI would produce different results.

  • Data used for this study were from a relatively old cohort study, which began in 1948.

Background

The association between obesity and cardiovascular disease (CVD) is well known.1 2 However, these findings are generally based on analysing only the level of body mass index (BMI) in relation to CVD. Recently, studies have demonstrated the importance of taking into account the potential cumulative effect of the duration of obesity, rather than the simple assessment of obesity at a single point in time (eg, at baseline). Duration of obesity has been shown to be a risk factor for CVD,3 type-2 diabetes4 and mortality,5 independent of BMI. Nevertheless, analyses based on either level of BMI alone or duration lived with obesity alone, may not reflect the total effect of obesity and may underestimate the risk of CVD attributable to obesity. We have recently demonstrated the additional benefit of combining the level of obesity with the number of years lived with obesity into a single measure, finding that an obese-years metric is a better predictor of the risk of type-2 diabetes than level of BMI or duration of obesity alone.6

The use of the obese-years metric to estimate the risk of CVD has not been investigated yet. We hypothesised that the obese-years metric is likely a similar independent risk factor for CVD and would provide an improved estimation of the risk of future CVD. This study aimed to examine the association between obese-years and risk of CVD and to examine whether the obese-years metric is a better predictor for risk of CVD than current BMI or duration of obesity alone. We investigated these objectives using the Framingham Heart Study (FHS), a long-term prospective cohort study where body weight, health outcomes and other covariates were measured biennially for almost 50 years.7

Methods

Data source

We used data from the FHS.8 In this prospective cohort study, 5209 participants (aged 28–62 years at the time of enrolment) attended biennial examinations for approximately 50 years beginning from 1948. For the purpose of this study, only participants who were free from CVD (any type), cancer and type-2 diabetes at baseline were included in the analysis (n=5036).

Variables: measurement, missing and imputation

Most variables in the FHS were measured regularly at the two yearly examinations, including body weight, height, demographic variables, health behaviours and health outcomes (including CVD).7 Some values are missing by design where variables were not collected at every examination. For example, current smoking status was not recorded at four examinations (2, 3, 6 and 17), cholesterol was not measured at seven examinations (11, 12, 17–20 and 22), alcohol consumption was measured only at eight examinations (2, 4, 7, 19 and 20–23), and physical activity was measured only at four examinations (4, 11, 12 and 19). In this circumstance, the most contemporary measured value of the variable was used in place of missing values at the examination times when the variable was not measured. Another missing data circumstance was when missing values occurred intermittently during study follow-up; for example, body weight and hence BMI. In this case missing values for BMI were imputed with a conditional mean estimated by a multiple linear regression model using age at prior examination, sex and several transformations of the previously measured BMI (BMI, log BMI, BMI squared and BMI as a categorical variable). Methods of measurement of these variables have been described in detail elsewhere.4 6

The level of obesity, duration and obese-years measurement

Participants were considered obese at a given examination if their BMI was greater than or equal to 30 kg/m2. The level of obesity was defined as follows: (1) if BMI <30 kg/m2, the level was zero; and (2) if BMI ≥30 kg/m2, the level was BMI minus 29 kg/m2. For example, if BMI was 35 kg/m2, the level was 6 (35–29) obese units.

The duration of obesity followed a similar definition to that described previously.4 The duration of obesity was calculated for those individuals with at least two consecutive examinations with occurrence of obesity (which is interpreted as indicating at least 2 years of being continuously obese). The requirement for two consecutive examinations with obesity was to avoid the potential misclassification of body weight, either due to measurement error or fluctuations between the borderline of the ‘overweight’ category or the ‘obese’ category. For those individuals without two consecutive obesity occurrences, duration was considered to be zero at all examinations. For those individuals with two consecutive obesity occurrences, the beginning of their obesity duration interval was defined as the date of the first of these two examinations and from that time, the individual was considered to be continuously obese until either the first of two consecutive non-obese examinations, or death, or the end of follow-up at examination 24. Individuals could have multiple periods of obesity duration during follow-up.

The level of obesity and the duration of obesity were combined as a single variable called obese-years. Obese-years was calculated at each examination as the defined level of obesity (in ‘obese units’) multiplied by the defined duration of obesity (in years). Then the cumulative total of obese-years for each examination was calculated as a sum of all obese-year ‘exposures’ up to and including that examination.

Table 1 illustrates the calculation of obese-years for a single individual. This participant first had a measurement of obesity at examination 2 and was assigned obesity duration of zero at this examination. At examination 3, this participant was assumed to have lived with obesity for 2 years (the interval between examinations 2 and 3) with a degree of obesity of 1 kg/m2. This approach assumes that an individual's BMI is carried forward from a given examination (ie, examination 2) and does not change until a different BMI value at a subsequent examination (ie, examination 3). The number of obese-years at examination 3 was therefore 2 obese-years (1 BMI unit×2 years in the preceding interval). From examinations 3 to 4 (a 3-year interval), the participant was still obese with a degree of obesity of 3 kg/m2 (BMI 32 kg/m2). At examination 4, the number of obese-years was 9 (3 BMI unit×3 years) and the cumulative obese-years at this examination was 11 obese-years (2 plus 9).

Table 1.

Illustration of the calculation of an obese-years metric for a single hypothetical individual

ID Examination Interval between examinations, years* Body mass index† Degree of obesity Duration of obesity, years Obese-years* Cumulative obese-years
6 1 (baseline) 28 0 0 0
6 2 2 30 1 0 0 0
6 3 2 32 3 2 2 2
6 4 3 34 5 3 9 11
6 5 1 32 3 1 5 16
6 6 2 30 1 2 6 22
6 7 1.5 28 0 1.5 1.5 23.5
6 8 2.5 28 0 0 0 23.5
6 9 2 30 1 0 0 23.5
6 10 1.5 32 3 1.5 1.5 25
6 11 3 34 5 3 9 34
6 12 2 32 3 2 10 44
6 13 2 30 1 2 6 50

*All intervals refer to the interval between the current examination and the prior examination.

†Weight (kg)/height (m)2.

This method implies that individuals accumulating 50 obese-years, for example, could have reached this quantity either by having been obese with BMI of 30 kg/m2 for approximately 50 years or by having been obese with BMI of 34 kg/m2 for approximately 10 years or, indeed, many other combinations.

Measurement of the outcome and time to event

The main outcome of interest in this study was CVD incidence (the first event of any type of CVD; defined as a composite of coronary heart disease (CHD), cerebrovascular accident (CVA), peripheral artery disease and congestive heart failure (CHF)).9 Additional outcomes were individual types of CVD: hard CVD, CHD, CVA and CHF. Hard CVD was defined as a composite of hard CHD (coronary death, myocardial infarction), stroke (fatal and nonfatal), peripheral artery disease and heart failure. In the FHS, the criteria for each cardiovascular outcome during follow-up were standardised10 and a panel of Framingham investigators made an adjudication regarding diagnosis. CHD includes the diagnoses of (1) angina pectoris, evidenced by a typical history of chest pain on a physician-administered questionnaire; (2) myocardial infarction, determined by specified ECG changes, diagnostic elevation of serum enzymes with prolonged ischaemic chest pain, or on autopsy; (3) coronary insufficiency, defined as prolonged ischaemic chest pain accompanied by transient ischaemic abnormalities on ECG; and (4) sudden (in less than 1 h) or non-sudden coronary death. CHF was indicated when at least two major or one major and two minor diagnostic conditions existed concurrently on examination.

Time to event was measured as the time from cohort entry until the date a participant was diagnosed as having CVD. Individuals who died or reached the end of the follow-up (examination 24) before developing CVD were censored at date of death or examination 24, respectively.

Data analysis

To model the relationship between the various measures of obesity and risk of CVD in a dynamic survival model way11 an extended Cox regression model involving time-dependent (time-varying) variables12–15 was used. The demographic and health behaviour variables included in the analysis were age, sex and country of birth at baseline, and the time-varying values of education level, marital status, smoking status, alcohol consumption (ounces/month) and physical activity. The regression coefficients from these models were exponentiated and interpreted as HRs noting that care is required with this interpretation14 since the model does not technically define proportional hazards in the presence of time-varying variables.

The obese-years metric was analysed as a continuous and also as a categorical variable using the same categories used in the previous study6 for comparison purposes. For analyses of continuous obese-years, HRs are presented per 10 obese-years. For analyses of categorical obese-years, participants who were never obese during study follow-up (zero obese-years) were assigned as a comparator (reference category) and the level of obese-years was grouped into short, medium long and extensive periods representing 1–24.9, 25–49.9, 50–74.9 and ≥75 obese-years. HRs are presented as crude HRs as well as multivariate-adjusted HRs for continuous and also categorical versions of obese-years. Three models were used to examine the HRs with the addition of different confounding variables. Model 1 was adjusted for age. Model 2 was adjusted for age, sex, marital status, educational level and country of birth. Model 3 included adjustment for all variables in model 2 plus the health behaviour variables of smoking status, alcohol consumption and physical activity. The analyses were stratified by sex and a test for interaction between sex/smoking status and obese-years was performed.

To compare the relative predictive values of obesity level, obesity duration and the obese-years metric, each of these three variables was divided into an equal number of categories. One group was created for those who were never obese (BMI less than 30 kg/m2) as a reference. For those with obesity, 10 deciles were used to create categories. The goodness of fit of the models incorporating each of the three variables was compared using Akaike’s information criterion (AIC), computed as −2 (log-likelihood) + 2 (number of estimated parameters); with a lower AIC indicating a better fit.16 All analyses were performed using the Stata statistical software package V.11.0 (StataCorp, College Station, Texas, USA).17

Sensitivity analyses

A sensitivity analysis was performed to examine whether the associations were influenced by the imputation method for missing BMI. The analysis was repeated by including only participants with no missing values of BMI at any examinations. The effect of the duration of obesity prior to baseline was tested by excluding those who were obese at baseline (n=576).

Results

Characteristics of the participants

Of the 5036 eligible study participants, 1230 (24%) participants were obese for at least two consecutive examinations during the study follow-up. For those who were ever obese during the study, the median cumulative duration of obesity was approximately 12 years (range 2–46 years), and the median cumulative obese-years was 24 (range 2–556 obese-years). Two thousand seven hundred fifty-three (55%) participants were diagnosed with CVD over approximately 138 918 person-years of follow-up (table 2).

Table 2.

Characteristics of the study population*

Number
Percentage
Median
Range
p Value†
Participant characteristics Total Males Females Total Males Females Total Males Females Total Males Females
Eligible sample 5036 2237 2799 100 44 46
Participants ever obese during study follow-up 1247 494 750 24.7 40 60 0.001
Age at baseline (years) 43 43 43 28–62 29–62 28–62 0.483
Born in the USA 4082 1826 2256 81 44.7 55.3 0.355
Marital status 0.001
 Single 452 117 335 9 5 12
 Married 4269 2075 2194 85 93 78
 Widowed, divorced or separated 315 45 270 6 2 10
Educational level 0.001
 Eighth grade or less 1374 616 758 27 28 27
 High school 2306 1022 1284 46 46 46
 College 752 392 360 15 18 13
 Graduate school 604 207 397 12 9 14
Health behaviour
 Current smoker at baseline 2583 1435 1154 52 55 45 0.001
 Ever-smoker during study follow-up period 3178 1837 1341 63 58 42 0.001
 Physical activity score at examination 4 32 33 31 25–83 25–83 25–55 0.001
 Alcohol drinking at examination 2, yes, ounces/month‡ 3183 1648 1535 63 52 48 8 15 4 1–360 1–360 1–240 0.001
Body weight characteristics
 Body mass index at baseline (kg/m2 25.1 25.6 24.6 16.2–46.3 16.8–38.1 16.2–46.3 0.001
  Underweight (<18.5) 65 14 51 1 1 2 0.001
  Normal weight (18.5–24.9) 2405 945 1460 48 42 52
  Overweight (25–29.9) 1989 1057 932 40 47 33
  Obese (≥30) 567 217 350 11 10 13
 Cumulative obesity duration (years)¶ 12 10 12 2–46 2–46 2–46 0.001
 Cumulative obese-years ¶ 24 15 31 2–556 2–251 2–556 0.001
 Cumulative obese-years category¶ 0.001
  1–24.9 579 269 319 52 62 45
  25–49.9 192 77 115 17 18 17
  50–74.9 119 31 87 11 7 13
  ≥75 233 54 179 21 13 26
CVD (any type) 2753 1375 1378 55 50 50 0.001
 Hard CVD 1890 952 938 38 51 49 0.001
 Coronary heart disease 1872 1036 836 37 55 45 0.001
  Heart attack 1538 920 618 31 60 40 0.001
  Myocardial infarction 1105 666 439 22 60 40 0.001
  Coronary insufficiency 259 146 113 5 56 44 0.001
  Angina pectoris 945 498 447 19 53 47 0.001
 Cerebrovascular accident 950 411 539 19 43 57 0.426
 Congestive heart failure 876 397 479 17 45 55 0.556

*Participants were free from existing diabetes, CVD and cancer at baseline.

†This p value is for the comparison of males versus females.

‡One ounce≈28.35 g.

§Weight (kg)/height (m)2.

¶For those who were obese during study follow-up.

CVD, cardiovascular disease.

Incidence and HRs for CVD

The incidence rates and adjusted HR for CVD increased with an increase in the number of obese-years (tables 3 and 4). In model 3 for males and females combined, the adjusted HRs for the categories 1–24.9, 25–49.9, 50–74.9 and ≥75 obese-years were, respectively, 1.31 (95% CI 1.15 to 1.48), 1.37 (95% CI 1.14 to 1.65), 1.62 (95% CI 1.32 to 1.99) and 1.80 (95% CI 1.54 to 2.10) compared with those who were never obese (ie, had zero obese-years). For obese-years as a continuous variable, with every 10 unit increase in obese-years, the adjusted HR for CVD was estimated to increase by 4% (95% CI 3% to 5%; table 5). There were no significant interactions between obese-year categories with sex or smoking status. There was evidence of an interaction between obese-years as a continuous variable and sex (p=0.01). The effect of obese-years was stronger in males than in females.

Table 3.

Incidence of cardiovascular disease (events/1000 person-years) according to categories of cumulative obese-years

Obese-years categories Events PYFU Incident rate (95% CI)
Total population, year
 0 2177 116 681 18.66 (17.89 to 19.46)
 1–25 276 10 846 25.45 (22.62 to 28.63)
 25–50 124 4509 27.50 (23.06 to 32.80)
 50–75 78 2365 32.98 (26.42 to 41.18)
 ≥75 186 4517 41.17 (35.66 to 47.54)
Males, year
 0 1138 46 950 24.24 (22.87 to 25.69)
 1–25 134 4669 28.70 (24.23 to 34.00)
 25–50 56 1710 32.75 (25.21 to 42.56)
 50–75 36 720 50.02 (36.08 to 69.34)
 ≥75 49 951 51.51 (38.93 to 68.16)
Females, year
 0 1039 69 731 14.90 (14.02 to 15.83)
 1–25 142 6177 22.99 (19.50 to 27.10)
 25–50 68 2799 24.30 (19.16 to 30.81)
 50–75 42 1645 25.53 (18.87 to 34.54)
 ≥75 137 3566 38.42 (32.49 to 45.42)

PYFU, person’s years of follow-up.

Table 4.

Risk of cardiovascular disease according to categories of obese-years

HR (95% CI)
Total population* Males Females
Model 1
 0 obese-years 1 1 1
 1–25 obese-years 1.28 (1.13 to 1.45) 1.18 (0.99 to 1.41) 1.37 (1.15 to 1.64)
 25–50 obese-years 1.31 (1.09 to 1.57) 1.28 (0.97 to 1.67) 1.40 (1.09 to 1.79)
 50–75 obese-years 1.50 (1.21 to 1.85) 1.78 (1.35 to 2.36) 1.46 (1.08 to 1.96)
 ≥75 obese-years 1.59 (1.36 to 1.85) 1.72 (1.33 to 2.22) 1.78 (1.48 to 2.15)
 Dose-response p value 0.001 0.001 0.001
Model 2
 0 obese-years 1 1 1
 1–25 obese-years 1.26 (1.11 to 1.43) 1.18 (0.99 to 1.41) 1.33 (1.11 to 1.60)
 25–50 obese-years 1.32 (1.10 to 1.59) 1.29 (0.99 to 1.70) 1.35 (1.05 to 1.74)
 50–75 obese-years 1.55 (1.27 to 1.91) 1.80 (1.36 to 2.38) 1.40 (1.04 to 1.88)
 ≥75 obese-years 1.74 (1.50 to 2.03) 1.71 (1.32 to 2.21) 1.71 (1.42 to 2.07)
 Dose-response p value 0.001 0.001 0.001
Model 3
 0 obese-years 1 1 1
 1–25 obese-years 1.31 (1.15 to 1.48) 1.22 (1.02 to 1.45) 1.37 (1.14 to 1.65)
 25–50 obese-years 1.37 (1.14 to 1.65) 1.39 (1.05 to 1.83) 1.36 (1.05 to 1.76)
 50–75 obese-years 1.62 (1.32 to 1.99) 1.89 (1.42 to 2.51) 1.44 (1.08 to 1.94)
 ≥75 obese-years 1.80 (1.54 to 2.10) 1.81 (1.39 to 2.36) 1.74 (1.44 to 2.10)
 Dose-response p value 0.001 0.001 0.001

Model 1 adjusted for age.

Model 2 adjusted for age, marital status, education and country of birth.

Model 3 adjusted for age, marital status, education, country of birth, smoking status, alcohol consumption and physical activity.

*Analyses for total population were adjusted for sex.

Table 5.

The HR of CVD per 10 obese-years

CVD HR per additional 10 obese-years (95% CI)
Total population* Males Females
CVDs (all types)
 Model 1 1.03 (1.02 to 1.04) 1.05 (1.03 to 1.07) 1.03 (1.02 to 1.04)
 Model 2 1.03 (1.02 to 1.04) 1.05 (1.03 to 1.07) 1.03 (1.02 to 1.04)
 Model 3 1.04 (1.03 to 1.05) 1.06 (1.04 to 1.08) 1.03 (1.02 to 1.04)
Hard CVDs
 Model 1 1.03 (1.02 to 1.04) 1.06 (1.04 to 1.08) 1.03 (1.02 to 1.05)
 Model 2 1.04 (1.03 to 1.05) 1.06 (1.04 to 1.08) 1.03 (1.02 to 1.04)
 Model 3 1.04 (1.03 to 1.05) 1.06 (1.04 to 1.08) 1.03 (1.02 to 1.04)
CHD
 Model 1 1.02 (1.01 to 1.03) 1.03 (1.01 to 1.06) 1.03 (1.02 to 1.04)
 Model 2 1.03 (1.02 to 1.04) 1.03 (1.01 to 1.06) 1.03 (1.02 to 1.04)
 Model 3 1.03 (1.02 to 1.04) 1.04 (1.02 to 1.06) 1.03 (1.02 to 1.04)
CVA
 Model 1 1.03 (1.02 to 1.04) 1.06 (1.04 to 1.09) 1.03 (1.01 to 1.04)
 Model 2 1.03 (1.02 to 1.04) 1.06 (1.04 to 1.09) 1.02 (1.01 to 1.04)
 Model 3 1.03 (1.02 to 1.04) 1.06 (1.04 to 1.09) 1.02 (1.01 to 1.04)
Congestive heart failure (CHF)
 Model 1 1.05 (1.03 to 1.06) 1.06 (1.04 to 1.09) 1.05 (1.03 to 1.06)
 Model 2 1.05 (1.04 to 1.06) 1.06 (1.04 to 1.09) 1.04 (1.03 to 1.06)
 Model 3 1.05 (1.04 to 1.06) 1.06 (1.04 to 1.09) 1.04 (1.03 to 1.06)

Model 1 adjusted for age.

Model 2 adjusted for age, marital status, education and country of birth.

Model 3 adjusted for age, marital status, education, country of birth, smoking status, alcohol consumption and physical activity.

*For total population also adjusted for sex

CHD, coronary heart disease; CVA, cerebrovascular accident; CVD, cardiovascular disease.

Comparing obesity metrics and AIC

Table 6 demonstrates the risk of CVD for each of the three different constructs for obesity: level of obesity (based on BMI), duration of obesity and the obese-years metric. Each construct was analysed in a separate model as an additive effect and the strength of association was compared using the AIC. In all outcomes, the AIC was lowest in the model using the obese-years metric compared with the other models for the total population and by sex.

Table 6.

Comparison of the obese-years metric, BMI and obesity duration as predictors of the risk for CVD

Constructs AIC
Total population Males Females
CVDs (all types)
 Construct 1: level of BMI 43 390 19 227 20 307
 Construct 2: duration of obesity 43 379 19 221 20 306
 Construct 3: obese-years 43 368 19 209 20 294
Hard CVDs
 Construct 1: level of BMI 34 069 15 102 15 976
 Construct 2: duration of obesity 34 065 15 099 15 968
 Construct 3: obese-years 34 050 15 096 15 955
CHD
 Construct 1: level of BMI 29 038 14 355 12 156
 Construct 2: duration of obesity 29 039 14 354 12 162
 Construct 3: obese-years 29 028 14 351 12 152
CVA
 Construct 1: level of BMI 13 575 5211 7147
 Construct 2: duration of obesity 13 577 5208 7141
 Construct 3: obese-years 13 573 5208 7136
Congestive health failure (CHF)
 Construct 1: level of BMI 13 141 5275 6667
 Construct 2: duration of obesity 13 122 5263 6663
 Construct 3: obese-years 13 104 5255 6649

Each construct was split into 11 categories; 1 represents ‘not obese’ and 2–11 represent deciles of obesity exposure (level, duration and obese-years).

Each model adjusted for sex, age, marital status, education, smoking, alcohol consumption and physical activity.

AIC, Akaike information criterion; BMI, body mass index; CHD, coronary heart disease; CVA, cerebrovascular accident; CVD, cardiovascular disease.

Sensitivity analysis

The sensitivity analyses showed that the association between obese-years and risk of CVD was similar in a complete case analysis and the analysis using imputed missing values for BMI. Exclusion of participants who were obese at baseline showed only a slightly lower adjusted HR: 1.03 (95% CI 1.01 to 1.05).

Discussion

This study found that measuring the total effect of obesity by combining the level and the duration of obesity into a single metric of obese-years is a stronger predictor for the risk of CVD compared with using duration of obesity or level of obesity alone. A clear dose-response relationship between obese-years and risk of CVD was observed. A stronger effect was found in males than in females.

Although the HRs were very similar between the three different constructs, and it is not possible to perform a statistical comparison of discrimination between the models due to the fact that they are non-nested, the AIC does indicate that combining the level and duration of obesity into a single construct of obese-years provides greater discriminative power than a model with level of obesity or obesity duration alone. However, the disparity in AIC between the competing models was not as great as was observed with diabetes as the outcome of interest,6 and so it is unclear the extent to which this finding has important implications for future studies of the total health impact associated with obesity and whether future studies should take into account the impact of obesity level as well as changes in the duration of obesity.

There are different ways to operationalise the impact of excess weight over time. A recent systematic review identified at least four models: an additive model, a duration-of-obesity model, an additive-weight-change model and an interactive model.18 In addition to these models, findings using the obese-year model suggest that analysing the combined effect of the duration and the level of obesity as a predictor of CVD is worthwhile. Such approaches add information over and above simply the level of excess weight or length of time with obesity. As has been argued previously,6 other potential addition to this analysis is examining the excess body weight as higher than 25 kg/m2.

The findings in this study were derived from analysis of a long-term prospective cohort study with biennial measurements of body weight, covariates and health outcomes, which enabled us to analyse change in level of obesity and duration of obesity over a long period. The analysis takes into account changes in covariates, such as smoking status, alcohol consumption and physical activity, and adjusts for a large number of potential confounding variables. However, some potential confounders, such as diet, were not collected consistently in the FHS and therefore have not been adjusted for in our analysis.

As has been described elsewhere,6 the limitation of this analysis might relate to the population being a relatively old cohort study, the FHS that began in 1948; the prevalence rates of obesity were relatively low at that time (in the 1950s they were below 10%).19 It could be argued that the results of this study might not reflect contemporary populations, where the prevalence of obesity is markedly higher than 50 years ago. In 2008, the prevalence of obesity among adults in the USA was more than 30%.20 21 Moreover, the contemporary obesity epidemic is also characterised by a much earlier onset of obesity, which could result in even longer exposure by the time today's obese generation of children reach the age of our studied cohort. In our study, the average age at onset of obesity was approximately 50 years, and the average number of years lived with obesity was approximately 13 years; but in today's society, the average age at onset of obesity is likely to be more than 10 years earlier than in previous decades.22 Nevertheless, our results indicate that the obese-years metric is still valid and may provide more precision in predicting the risk of CVD than level of BMI or duration of obesity alone.

The obese-years metric in this study was based on the measurement of BMI. It is unclear whether using anthropometric measures other than BMI would produce different results. Although, a recent meta-analysis study has shown that BMI, waist circumference (WC) and the waist/hip ratio (WHR) each estimate a similar risk, particularly for type-2 diabetes23; it is still worthwhile to explore the relationship between obese-years and risk of CVD using WC or WHR.

As discussed in our previous study,6 the obese-years metric was developed based on the assumption that level and duration of obesity have a similar impact, an assumption that has been used for the concept of pack-years in smoking studies. In some smoking studies, it was highlighted that for certain health outcomes, the effect of the duration was more important than intensity,24 while in others, duration was not significant after adjustment for intensity.25 As we have previously discussed, the notion that obese-years is only ‘switched on’ when BMI reaches 30 kg/m2 is crude,6 however, it is an important construct to consider whether the combination of level and duration is relevant for a particular outcome. In addition, although obese-years do find a parallel in pack-years for smoking, which is a construct that ignores any effects of passive smoking, the nature of cumulative exposure in obesity is not as straightforward as in smoking.

These findings demonstrate that it is important to consider the level of obesity as well as the duration of obesity and their combination when examining the association between obesity and the risk of chronic disease. This effect is likely to be because the obese-years metric takes into account the cumulative damage of obesity to body systems and consequently is likely to be applicable to other chronic diseases. However, further investigations are recommended to be undertaken, of other possible level/duration constructs of obesity such as considering the effect of BMI above 25 kg/m2, and of relationships between obese-years and other chronic diseases, and mortality.

We acknowledge that a major challenge in examining the obese-years metric is to have information on the degree of obesity and the duration of obesity. Few cohort studies measure obesity and health outcomes regularly as in the FHS. However, we believe there would be value in more detailed assessment of height and weight on multiple repeated occasions in future cohort studies and to identify other more readily available proxies of duration, such as peak weight or age of onset of obesity, and to test to what extent those variables are equivalent to the obese-year metric.

It is important that these results inform future epidemiological analyses, suggesting that the risk of obesity on some health outcomes is being underestimated if duration is not being taken into account. This has consequent implications for underestimation of obesity-related burden of disease modelling and cost-effectiveness analyses. In addition, the results inform public health policy, demonstrating further rationale for preventing weight gain and delaying the onset of obesity.

Conclusion

This study demonstrates that the risk of CVD associated with obesity is derived from the level of obesity attained and also the length of time lived with obesity. The obese-years metric conceptually captures the cumulative damage of obesity on body systems, and is found to provide slightly more precise estimation of the risk of CVD than the level or duration of obesity alone.

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Acknowledgments

The authors thank the Framingham Heart Study investigators for granting them permission to use their data set for this study (the Framingham Heart Study is conducted and supported by the National Heart, Lung, and Blood Institute (NHLBI) in collaboration with study investigators). This manuscript was prepared by using a limited-access data set obtained from the NHLBI.

Footnotes

Contributors: Author AA developed the analytical techniques of study, performed data analysis, interpretation, drafting of the manuscript and prepared the final version for publication. FAA performed data analysis and interpretation of data. JS, SKT and JB helped review the data analysis and reviewed the manuscript. RW contributed to the study design and review of the manuscript. AP supervised the implementation of the study, designed the study's analytic strategy and contributed to the reviewing of the manuscript.

Funding: This research received no specific grant from any funding agency in the public, commercial or not-for-profit sectors.

Competing interests: AA and FAA were supported by an Indonesian Danone institutional research grant 2012. AP and SKT were supported by an NHMRC project grant.

Ethics approval: Syiah Kuala University Research Ethics Committee.

Provenance and peer review: Not commissioned; externally peer reviewed.

Data sharing statement: No additional data are available.

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