International Journal of Obesity (1999) 23, 715±722 ß 1999 Stockton Press All rights reserved 0307±0565/99 $12.00 http://www.stockton-press.co.uk/ijo Determinants of energy expenditure and fuel utilization in man: effects of body composition, age, sex, ethnicity and glucose tolerance in 916 subjects C Weyer1*, S Snitker1, R Rising1, C Bogardus1 and E Ravussin1 1 Clinical Diabetes and Nutrition Section, National Institute of Diabetes and Digestive and Kidney Diseases, National Institutes of Health, Phoenix, AZ BACKGROUND: 24-h energy expenditure (24-EE) and 24-h respiratory quotient (24-RQ) are important measurements in obesity research, but their accurate assessment is limited to few specialized laboratories. OBJECTIVES: 1) To provide comprehensive prediction equations for 24-EE, sleeping metabolic rate (SMR) and 24-RQ, based on a large number of Caucasian and Pima Indian subjects, covering a wide range of body weight and composition, body fat distribution, and age and 2) to test whether Pima Indians have lower metabolic rate and=or higher 24-RQ than Caucasians. SUBJECTS AND METHODS: 916 non-diabetic subjects, aged 31.5 11.9 y, body weight 90.5 26.1 kg (mean s.d.), (561 males, 355 females; 416 Caucasians, 500 Pima Indians; 720 with normal (NGT) and 196 with impaired (IGT) glucose tolerance) spent 24 h in a respiratory chamber for measurements of 24-EE, SMR and 24-RQ. Fat-free mass (FFM) and fat mass (FM) were assessed by either hydrodensitometry or DEXA. Waist circumference and waist-to-thigh ratio (WTR) were determined as measures of body fat distribution. RESULTS: In a stepwise multiple regression analysis, FFM, FM, sex, age, WTR, and ethnicity were signi®cant independent determinants of 24-EE (2258 422 kcal=d), explaining 85% of its variability (24-EE (kcal=d) 696 18.9 FFM (kg) 10.0 FM (kg) 180 male 7 1.9 age (y) 7.1 WTR (per decimal) 44 Pima Indian). SMR (1623 315 kcal=d) was determined (78% of variability) by FFM, FM, sex, age, WTR, and glucose tolerance (SMR (kcal=d) 443 14.6 FFM (kg) 6.9 FM (kg) 79 male 7 1.0 age (y) 5.8 WTR (per decimal) 38 IGT), but not by ethnicity. Adjustment for the respective variables reduced the variance in 24-EE from 422 to 162 kcal=d and in SMR from 315 to 146 kcal=d. 24-RQ (0.854 0.026) was determined by waist circumference and energy balance (24RQ 0.88429 ± 0.00175 waist circumference (cm) 0.00004 energy balance (%)), but not by sex, ethnicity or glucose tolerance. With this equation only 13% of the variability in 24-RQ could be explained (residual variance 0.024). Compared to Caucasians, Pima Indians had higher 24-EE, but similar SMR and 24-RQ. CONCLUSIONS: This analysis provides comprehensive prediction equations for 24-EE, SMR and 24-RQ from their major known determinants. It con®rms the previous ®ndings that, even after adjustment for body composition, age, sex, ethnicity, and glucose tolerance, there is still considerable variability in energy expenditure and substrate oxidation that may, in part, be genetically determined. In adult Pima Indians, we found no evidence for lower metabolic rate or impaired fat oxidation that could explain the propensity towards obesity in this ethnic group. Keywords: energy metabolism; respiratory chamber; respiratory quotient; metabolic rate; Caucasians; Pima Indians Introduction Measurements of energy expenditure and substrate oxidation have been important in our understanding of the pathophysiology of human obesity,1 ± 5 but the accurate assessment of both variables over 24 h requires sophisticated methodology that is available in only a small number of laboratories.6 ± 10 The human whole body respiratory chamber allows measurement of the 24-h energy expenditure (24-EE), and *Correspondence: Christian Weyer, MD, Clinical Diabetes and Nutrition Section, National Institutes of Health, 4212 N 16th Street, Rm 5-14, Phoenix, AZ, 85016, USA. E-mail: [email protected] Received 12 October 1998, revised 20 January 1999, accepted 19 February 1999 of the 24-h respiratory quotient (24-RQ) which Ð in conjunction with measurement of 24-h urinary nitrogen excretion Ð allows calculation of the 24-h oxidation rates of fat, carbohydrate and protein.6,7,10 Several standard equations have been developed for the prediction of energy expenditure on the basis of body size and composition, age and sex.11 ± 13 However, considerable variability in energy expenditure and substrate oxidation remains after adjustment for differences in body size.3,6,14,15 In longitudinal studies, we have shown that this variability is important for the development of obesity in that a low relative energy expenditure3 and a high relative 24-RQ, that is a low rate of fat-to-carbohydrate oxidation16 are predictive of body weight gain in humans. To minimize the remaining variability in predictive equations, it is important to identify additional determinants and Determinants of energy metabolism C Weyer et al 716 include them into these equations. Over the past decade, we and others have shown that energy expenditure is not only determined by body composition,6,17 age18 and sex,19 but also by ethnicity,20 body fat distribution,21 and glucose tolerance22 and that it is a familial trait.17,23 It has also been reported that the 24RQ is determined by energy balance, age and sex and that it is a familial trait.14,24,25 However, most of these ®ndings were based on rather small sample sizes. To assess whether a given variable is an independent determinant of any measurement of energy metabolism, it is crucial to adjust for all other co-variables known to determine this measurement.14 The ®rst aim of the present analysis, therefore, is to provide comprehensive equations for the estimation of 24-EE, sleeping metabolic rate, and 24-RQ as derived from a large number of subjects covering a wide range of body weight and age, with different ethnic background and glucose tolerance. More than half of the individuals included in this analysis were Pima Indians of Arizona, an ethnic group with a very high prevalence of obesity. Since a reduced rate of 24-EE and a high 24-RQ are predictors of weight gain,3,16 it could be hypothesized that Pima Indians have lower rates of energy expenditure and=or fat oxidation, compared to Caucasians. The second aim of the analysis was to test this hypothesis. Methods Subjects Of the 1229 subjects who ever spent 24 h in the respiratory chamber of the Clinical Diabetes and Nutrition Section of the National Institutes of Health in Phoenix, AZ between 1985 and 1998, 916 were included into this analysis (561 males (M), 355 females (F)), (416 Caucasians, 500 Pima Indians; 720 with normal glucose tolerance (NGT) and 196 with impaired glucose tolerance (IGT)), (Table 1). Criteria that led to the exclusion of the other 313 subjects were age < 18 y, diabetes (as per 75 g oral glucose tolerance test)26 or other medical conditions or use of medications known to affect energy metabolism (as per patient history, physical examination and routine laboratory tests). Also, subjects of other ethnicity (African ± Americans (n 41), Hispanics (n 4)) were excluded as were subjects from studies in which exercise was involved or in which the diet differed from our standard weight maintaining diet.27 Finally, only subjects who were in energy balance (energy intake 20% of expenditure) during the stay in the respiratory chamber were included in the analysis. Prior to their stay in the respiratory chamber, all subjects spent at least 3 d on the metabolic ward of the Clinical Diabetes and Nutrition Section of the National Institutes of Health (Phoenix, AZ), during which they were fed a weight-maintaining diet (50% carbohydrate, 30% fat, and 20% protein)27 and abstained from strenuous exercise. The different protocols of the studies included in this analysis were all approved by the Institutional Review Board of the National Institute of Diabetes and Digestive and Kidney Diseases and by the Tribal Council of the Gila River Indian Community for those including Pima Indians. Body composition and fat distribution Body composition was estimated by underwater weighing until January 199628,29 (n 866) and by total body dual energy X-ray absorptiometry thereafter (DPX-1; Lunar Radiation Corp., Madison, WI, USA)30 (n 50). A conversion equation, derived from comparative analysis in our unit, was used to make measurements of body composition comparable between the two methods.31 Waist-to-thigh ratio was calculated as a measure of body fat distribution, with circumferences measured at the level of the umbilicus (waist) and the gluteal fold (thigh) in the supine and standing position, respectively.21 Energy Metabolism The measurement of energy expenditure and substrate oxidation in the respiratory chamber has previously been described.6 In brief, volunteers entered the Table 1 Physical characteristics of the 916 subjects, in total, and divided by sex, ethnicity and glucose tolerance. Sex n Males=Females age (y) body weight (kg) % body fat FM (kg) FFM (kg) WC (cm) WTR ratio Ethnicity Glucose tolerance All Males Females Caucasians Pima Indians Normal Impaired 916 561=355 32 12 90.5 26.1 29 11 32.6 19.0 57.9 12.3 101 20 1.58 0.18 561 355 31 11 91.5 25.9 24 9 28.0 17.8 63.5 10.5 99 20 1.60 0.18 33 13* 88.9 26.3 37 8** 39.8 18.5** 49.0 9.5** 104 21** 1.56 0.19* 416 250=166 35 14 86.1 26.9 26 12 28.1 20.1 58.0 12.6 95 21 1.51 0.18 500 311=189 29 9** 94.2 24.8** 32 9** 36.3 17.2** 57.9 12.2 106 18** 1.64 0.16** 720 465=255 31 12 7.9 24.9 28 11 0.1 18.2 57.8 11.9 98 19 1.56 0.18 196 96=100 34 13** 100.2 28.2** 35 9** 41.7 19.3** 8.4 13.7 111 20** 1.65 0.17** Asterisks indicate signi®cant differences between the 2 sexes, ethnic groups and glucose tolerance groups, respectively * P < 0.05, ** P < 0.01, unpaired t-test). FM fat mass, FFM fat free mass, WC Waist circumference, WTR waist to thigh ratio. Determinants of energy metabolism C Weyer et al chamber at 0745 h after an overnight fast and remained therein until 0700 h the following morning. Subjects were fed an amount of energy according to previously determined equations,27 with meals provided at 0800 h, 1130 h, 1700 h and an evening snack (2000 h).6 The rate of energy expenditure was measured continuously, calculated for each 15 min interval within the 23 h in the chamber, and then extrapolated to 24 h (24-h energy expenditure, 24EE).6 Spontaneous physical activity (SPA) was detected by radar sensors and expressed as percent time over the 24 h period, in which activity was detected.6 Sleeping metabolic rate (SMR) was de®ned as the average energy expenditure of all 15 min periods between 2330 h and 0500 h during which SPA was < 1.5%.6 Carbon dioxide production (VCO2) and oxygen consumption (VO2) were calculated for every 15 min interval within the 23 h in the chamber and then extrapolated to 24 h. The 24-h respiratory quotient (24-RQ) was calculated as the ratio of 24-h VCO2 and 24-h VO2. 717 24-h energy expenditure 24-EE 696 (kcal=d) Statistical Analyses Statistical analyses were performed using the software of the SAS Institute (Cary, NC).32 The analysis was done in two steps. First, stepwise linear regression models were used to identify the determinants of 24-EE, SMR and 24RQ. The coef®cients of determination (R2), derived from this analysis for each step, represent the percentage of variance in 24-EE, SMR or 24-RQ, explained by the variables entered into the model.32 Second, the determinants of 24-EE, SMR and 24RQ identi®ed in the stepwise regression analysis were entered one by one into a general linear regression model to obtain the residual variances (pMSE-roots of the mean square errors) which remain after adjusting for every new variable.32 When the models ®nally included all variables, the intercepts and slopes for the respective regression equations were obtained (Figures 1 ± 3). Determinant Total variance (s.d.) 422 Residual variance pMSE P-value 18.9 FFM (kg) 10.0 FM (kg) 180 male 7 1.9 age (y) 7.1 WTR (decimal) 44 Pima Indian 224 178 165 164 163 162 < 0.0001 < 0.0001 < 0.0001 < 0.001 < 0.05 < 0.001 Figure 1 Upper panels: Relationship between 24-h energy expenditure (24-EE) and fat-free mass in 916 subjects of different age, body weight and composition, sex, ethnicity and glucose tolerance. 24-EE was signi®cantly related to fat-free mass (r 0.84, P < 0.0001), but at any given body size, there was a high inter-individual variability, corresponding to a standard deviation (s.d.) of 422 kcal=d. Lower panels: Prediction equation for 24-EE including fat-free mass, fat-mass, sex, age, waist-to-thigh ratio (WTR), and ethnicity. Adjustment for these variables explained 88% of the variability in 24-EE, reducing the variance from 422 to 162 kcal=d (p MSE root of the mean square error). All variables were independent determinants of 24-EE in a multivariate regression analysis. 24-h energy expenditure 24-h energy expenditure (24-EE) varied considerably between subjects with a range from 1251 to 4225 kcal=d and a standard deviation of 422 kcal=d (Table 2, Figure 1). In the stepwise multiple regression analysis, fat-free mass (FFM) was the strongest determinant of 24-EE explaining 72% of its variance (Figure 1). Further determinants of 24-EE, in descend- Results Sleeping metabolic rate Physical characteristics The physical characteristics of the subjects are shown in Table 1. The study population covered a wide range of age (18 ± 85 y), body weight (42.2 ± 215.2 kg) and body composition (3 ± 53 % body fat). Note that age and body composition differed signi®cantly between males and females, between Caucasians and Pima Indians, and between subjects with normal and impaired glucose tolerance (Table 1). SMR 443 (kcal=d) Determinant Total variance (s.d.) 315 Residual variance pMSE P-value 14.6 FFM (kg) 6.9 FM (kg) 79 male 7 1.0 age (y) 5.7 WTR (decimal) 38 IGT 184 150 147 147 146 146 < 0.0001 < 0.0001 < 0.0001 < 0.05 < 0.05 < 0.01 Determinants of energy metabolism C Weyer et al 718 Figure 2 Upper panels: Relationship between sleeping metabolic rate (SMR) and fat-free mass in 916 subjects of different age, body weight and composition, sex, ethnicity and glucose tolerance. SMR was signi®cantly related to fat-free mass (r 0.80, P < 0.0001), with a standard deviation (s.d.) of 315 kcal=d. Lower panels: Prediction equation for SMR including fat-free mass, fat-mass, sex, age, WTR, and glucose tolerance. Adjustment for these variables explained 78% of the variance in SMR, reducing the variability from 315 to 146 kcal=d (pMSE root of the mean square error). ing order, were fat mass (FM, sex, age, waist-to-thigh ratio (WTR), and ethnicity: 24-EE (kcal=d) 696 18.9 FFM (kg) 10.0 FM (kg) 180 male 7 1.9 age (y) 7.1 WTR (per decimal) 44 Pima Indian (Figure 1). Adjustment for these variables explained another 13%, that is a total of 85% of the variability in 24-EE. The residual variance after adjustment for these determinants was 162 kcal=d, which is 260 kcal=d lower than the standard deviation of 24-EE (Figure 1). Spontaneous physical activity (SPA, P < 0.0001) was an additional independent determinant of 24-EE, explaining another 3 % of the variability (residual variance 149 kcal=d) (24-EE (kcal=d) 550 19.0 FFM (kg) 9.8 FM (kg) 19.5 SPA (%) 175 M 7 2.2 age (y) 7.5 WTR (per decimal) 36 Pima Indian). SPA was higher in males compared to females (7.9 3.2 vs 7.4 2.8%, P < 0.05) and in Pima Indians compared to Caucasians (7.9 3.0 vs 7.5 3.0 %, P < 0.05), but even after adjustment for these differences, 24-EE was higher in males compared to females ( 175 19 kcal=d, P < 0.0001) and in Pima Indians compared to Caucasians ( 36 12 kcal=d, P < 0.01). Subjects with IGT tended to have higher 24-EE than subjects with NGT ( 20 13 kcal=d), but this trend was not signi®cant. 24-h respiratory quotient Total variance (s.d.) 0.026 Residual variance pMSE P-value Determinant 24-RQ 0.88429 7 0.00175 WC (cm) (kcal=d) 0.00004 E-balance (%) 0.025 0.024 < 0.0001 < 0.0001 24-RQ 0.86505 7 0.00045 body fat (%) 0.00004 E-balance (%) 0.00013 age (y) 0.025 0.024 0.024 < 0.0001 < 0.0001 < 0.05 Figure 3 Upper panels: Relationship between 24-h respiratory quotient (24-RQ) and % body fat in 916 subjects of different age, body weight and composition, sex, ethnicity and glucose tolerance. 24-RQ was signi®cantly related to % body fat (r 7 0.21, P < 0.0001), with a standard deviation (s.d.) of 0.026. Lower panels: Prediction equations for 24-RQ including waist circumference and energy balance or % body fat, energy balance and age, respectively. Note that adjustment for these variables reduced the variance by only 0.002 and that sex, glucose tolerance, and ethnicity were not independent determinants of 24RQ. (pMSE root of the mean square error). variance (Figure 2). Fat mass, sex, age, WTR, and glucose tolerance were further determinants of SMR (Figure 2), while spontaneous physical activity and ethnicity were not. After adjustment for all determinants, 78% of the variability in SMR could be explained resulting in a residual variance of 146 kcal=d (Figure 2). Adjusted SMR was higher in males compared to females ( 79 18 kcal=d, P < 0.001), and in subjects with IGT compared to those with NGT ( 38 12 kcal=d, P < 0.01) (Figure 2). Unlike 24-EE, there was no difference in adjusted Table 2 Energy metabolism in the 916 subjects mean s.d. Sleeping metabolic rate Sleeping metabolic rate (SMR) ranged from 876 to 3728 kcal=d with a standard deviation of 315 kcal=d (Table 2, Figure 2). The strongest determinant of SMR was fat-free mass, which explained 66% of its 24-h energy intake (kcal=d) 2217 372 24-h energy expenditure (kcal=d) 2258 422 24-h energy balance (kcal=d) 7 45 187 spontaneous physical activity (%) 7.7 3.0 sleeping metabolic rate (kcal=d) 1623 315 24-h respiratory quotient 0.854 0.026 range 1115 ± 3837 1251 ± 4225 7 581 ± 418 2.1 ± 23.7 876 ± 3728 0.771 ± 0.931 Determinants of energy metabolism C Weyer et al SMR between Pima (0 0 kcal=d, n.s.). Indians and Caucasians 24-h respiratory quotient 24-h respiratory quotient (24-RQ) ranged from 0.771 to 0.931 with a standard deviation of 0.026 (Table 2). Waist circumference and energy balance were independent determinants of 24-RQ, explaining 13% of its variability (residual variance 0.024) (Figure 3). A comparable percentage of variance in 24-RQ (12 %) could be explained, when % body fat was used instead of waist circumference. In this case, age became an additional independent determinant of 24-RQ (Figure 3). Adjusted 24-RQ did not differ between males and females or between subjects with NGT and IGT or between Pima Indians and Caucasians. Discussion A low rate of 24-h energy expenditure and a high 24-h respiratory quotient, that is a low rate of fat oxidation, predict weight gain in humans3,16 indicating the importance of energy expenditure and substrate oxidation in the pathophysiology of human obesity. Since the exact measurement of these parameters requires sophisticated methodology, they are often approximated by use of population-derived predictive equations based upon body composition, age and sex.11 ± 13 More recently, evidence has accumulated that energy metabolism is additionally determined by other variables such as body fat distribution,21,24 ethnicity,20 and glucose tolerance.22 However, some of these variables are related to each other. For example, body composition and body fat distribution differ between men and women, among different populations, and change with increasing age.33 ± 35 To assess whether different variables are determinants of energy metabolism independent of each other and to integrate them into more comprehensive equations, a large number of subjects of different body size, age, sex, ethnicity and glucose tolerance is required. The present analysis of 916 respiratory chamber measurements over 24 h provides such comprehensive equations for three major measurements of energy metabolism, namely 24-h energy expenditure, sleeping metabolic rate and 24-h respiratory quotient. Our ®nding that fat-free mass is the single best predictor of 24-h energy expenditureship agrees with previous reports from our group6,14 and others.17,24 The percentage of variance in 24-EE that was explained by fat-free mass in our analysis (72%) is similar to the values reported by Astrup et al 24 and Toubro et al17 of 75% and 82%, respectively. It has also been previously reported that fat mass and spontaneous physical activity (SPA) are independent additional determinants of 24-h energy expenditure.6,14,17 A low level of SPA is predictive of weight gain in males over three years36 and after 8 weeks of overfeeding37 underscoring the importance of this variable. On the other hand, assessment of SPA is not standardized to one commonly accepted measure and inclusion of our data on SPA, as assessed by a radar system, would be of little use for others. We therefore provided here two prediction equations for 24-EE, one with and one without SPA. With the smaller number of subjects (n 177) in our previous analysis we found no effect of age and sex on 24-h energy expenditure.6 Both are now found to be additional independent determinants. After adjustment for body composition, the effect of age was marginal, but signi®cant, with a decrease of 2 kcal=d per year. In contrast, a larger difference in 24-h energy expenditure of 180 kcal=d was found between men and women after adjustment for body composition. This difference is higher than the one we previously reported for resting energy expenditure of approximately 100 kcal=d.19 A new and surprising ®nding was that adjusted 24-h energy expenditure was higher ( 44 kcal=d) in Pima Indians compared to Caucasians. Since Pima Indians are prone to obesity and a relatively low metabolic rate predicts weight gain in this population,3 a lower 24-h energy expenditure might have been anticipated. Several aspects are important to consider in this context. First, the higher 24-h energy expenditure in Pima Indians was largely due to higher spontaneous physical activity and no ethnic difference was found for resting energy expenditure (sleeping metabolic rate). Since 24-h energy expenditure and physical activity in a respiratory chamber are measured under restricted conditions, the results are not necessarily re¯ective of freeliving conditions and further studies such as with the doubly labelled water method are warranted to con®rm the present ®ndings. Secondly, our analysis included only adult Pima Indians of whom the majority were already obese. Therefore, our ®ndings do not exclude the possibility that reduced energy expenditure at a younger age may contribute to the development of obesity in this population. We have previously reported that individuals with type 2 diabetes have higher 24-h energy expenditure than those with normal glucose tolerance.22 Since this could in part be a secondary effect of the metabolic consequences of poor glycaemic control, diabetic subjects were excluded from the present analyses. Interestingly, 24-h energy expenditure tended to be higher ( 20 kcal=d) in subjects with impaired, compared to those with normal glucose tolerance, a ®nding that became signi®cant when the waist-to-thigh ratio was excluded from the regression model. As with 24-h energy expenditure, fat-free mass was the single best determinant of sleeping metabolic rate, explaining 66% of its variability. This result is in good agreement with ®ndings of another group using a respiratory chamber17,24 and with our previous ®ndings on basal metabolic rate, as measured by a ventilated hood system.14,15 In contrast to our previous 719 Determinants of energy metabolism C Weyer et al 720 ®ndings in a smaller number of subjects,14 age was an independent determinant of sleeping metabolic rate in the present analysis. The sex difference in sleeping metabolic rate ( 79 kcal=d in men compared to women) was similar to the one found for resting metabolic rate15 and lower than for 24-h energy expenditure as already discussed. In contrast to 24-h energy expenditure, sleeping metabolic rate was signi®cantly higher ( 38 kcal=d) in subjects with impaired, compared to those with normal glucose tolerance, irrespective of whether or not the waistto-thigh ratio was included in the model. To our knowledge, this is a novel ®nding, which suggests that the increase in energy expenditure found in individuals with type 2 diabetes22 occurs at an early stage of the disease. This notion has recently been con®rmed in a longitudinal study of our group,38 demonstrating that resting metabolic rate progressively increases during the transition from normal to impaired to diabetic glucose tolerance over 5 y, independently of changes in body composition. The exact mechanisms by which age, sex, ethnicity, and glucose tolerance affect energy expenditure remain unknown. Also, and as previously pointed out,6,14,15, a rather large variability of about 150 kcal=d persists for both 24-h energy expenditure and sleeping metabolic rate that cannot be explained solely by the variability of the method or by intraindividual variations.6 Several physiological factors were found to be related to metabolic rate include sympathetic nervous system activity,17,39 body temperature,40 skeletal muscle metabolism,41 plasma concentrations of free T3,17,24 free-fatty acids, and insulin,38 endogenous glucose production38 and the expression of the novel uncoupling protein 3.42 These factors may play a role in mediating the effects of age, sex, ethnicity, and glucose tolerance on energy expenditure and may also explain part of the residual variance. Also, and as pointed out,15 fat-free mass, the single best known determinant of energy expenditure in humans, is not metabolically uniform, but composed to different extents of inactive components such as intercellular ¯uids and minerals on the one hand and by metabolically highly active tissues=organs on the other.15,43 Finally, and of great importance, we23 and others17,24 have previously demonstrated that 24-h energy expenditure and resting metabolic rate, respectively, are familial traits suggesting that much of the remaining variability may be due to genetically determined factors not yet fully identi®ed. Compared to energy expenditure, the determinants of substrate oxidation in man are less well understood. It is known that the 24-h respiratory quotient is mainly determined by two variables: dietary composition and energy balance. However, other factors have been identi®ed that determine substrate oxidation even when these two variables are controlled. These factors include age,14,44 sex,14 waist circumference,24 and the plasma concentrations of insulin,14,17,24 free- fatty acids17,24 and, in premenopausal women, of estradiol.24 Furthermore, we14 and others17 have demonstrated that 24-h respiratory quotient is a familial trait. The present results agree with our previous ®ndings in that 24-h respiratory quotient was positively related to age and energy balance. However, in this larger group of 916 subjects, we could not con®rm our previous observation of a sex difference in 24-h respiratory quotient. Our ®nding that percent body fat and waist circumference were negatively correlated with 24-h respiratory quotient agrees with previous ®ndings of other groups.24,45,46 How adiposity and waist circumference, respectively, affect 24-h substrate oxidation independently of energy balance remains to be elucidated. The increased fat oxidation seen with increasing adiposity may result simply from the greater fat mass on the one hand,46 but may also be due to metabolic abnormalities of obesity such as increased sympathetic activity47 or increased adipose tissue lipolysis.48 The ®nding further supports the notion that enlarged body fat stores are an adaptation to a high fat diet.49 It needs to be pointed out that the equation for the approximation of 24-h respiratory quotient derived from our data is of far less predictive value than for the approximation of energy expenditure, as only 12 ± 13% of the variance in 24-h respiratory quotient could be explained. A greater proportion of the variance in 24-h substrate oxidation may be explained when biochemical variables such as plasma hormone concentrations are taken into account.24 However, such variables are often not routinely assessed and their inclusion into the equation would thus not be useful for most investigators. Finally, we found no difference in 24-h respiratory quotient between adult Pima Indians and Caucasians suggesting that fat oxidation is not impaired in the former. Conclusion The present study provides comprehensive equations for energy expenditure and fuel utilization in humans, assessed in 916 subjects of different age, sex, body size, ethnicity and glucose tolerance. In this large number of subjects, we demonstrate that body composition, sex, age, fat distribution, ethnicity and glucose tolerance are independent determinants of energy expenditure, while 24-h respiratory quotient is determined by energy balance, adiposity and age. Even after adjustment for these variables, a considerable inter-individual variability in energy expenditure, and particularly substrate oxidation, remains that cannot be explained and may in part be genetically determined. In adult Pima Indians, we found no evidence of reduced energy expenditure or impaired fat oxidation that could be proposed to contribute to the propensity towards obesity in this ethnic group. Determinants of energy metabolism C Weyer et al Acknowledgements We thank for the excellent technical support of Tom Anderson and the assistance of the clinical and dietary staff of the Clinical Diabetes and Nutrition Section, NIDDK, Phoenix, AZ over the past 15 years. The assistance of all NIH staff in the Gila River Indian Community and the help and co-operation of the volunteers is gratefully acknowledged. References 1 Ravussin E, Swinburn BA. Energy expenditure and obesity. Diabetes Reviews 1996; 4: 403 ± 422. 2 Ravussin E, Swinburn BA. Energy metabolism. In: Stunkard AJ, Wadden TA (eds.). Obesity: Theory and Therapy, 2nd Edn, Raven Press Ltd., New York, 1993, pp 97 ± 123. 3 Ravussin E, Lillioja S, Knowler WC, Christin L, Freymond D, Abbott WG, Boyce V, Howard BW, Bogardus C. 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