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Total energy expenditure of 10- to 12-year-old Japanese children measured using the doubly labeled water method

  • Keisuke Komura1, 2,
  • Satoshi Nakae3,
  • Kazufumi Hirakawa4,
  • Naoyuki Ebine5,
  • Kazuhiro Suzuki6,
  • Haruo Ozawa7,
  • Yosuke Yamada3,
  • Misaka Kimura4 and
  • Kojiro Ishii5Email author
Nutrition & Metabolism201714:70

Received: 28 July 2017

Accepted: 3 November 2017

Published: 15 November 2017



To establish Japanese children’s estimated energy requirements, total energy expenditure (TEE) data measured using the doubly labeled water (DLW) method is needed. This study aimed to 1) obtain basic TEE data from Japanese children measured using DLW (TEEDLW), 2) compare TEEDLW with TEE estimated by various estimation formulas to calculate their accuracy, and 3) develop a new equation to estimate TEE using body composition and pedometers.


TEE was measured using DLW in 56 10- to 12-year-old Japanese children (33 boys, 23 girls). Physical activity level (PAL) was calculated by dividing TEEDLW by estimated resting energy expenditure. To assess their physical activity, participants wore pedometers during the 7-d DLW period. Total body water was calculated from 2H and 18O; fat-free mass (FFM) and fat mass (FM) were then determined.


In boys and girls of normal weight, TEEDLW was 2067 ± 230 kcal/d and 1830 ± 262 kcal/d, respectively. Average PAL was 1.58 ± 0.17. FFM was strongly related to TEE (r = 0.702, p < 0.01). After adjusting for FFM and FM, step count was significantly associated with TEE (r = 0.707, p < 0.01). The TEE estimation formula used in the Dietary Reference Intakes (DRI) for the United States and Canada estimated TEEDLW with high accuracy (bias: 2.0%) in both sexes. We developed new equations for TEE consisting of FFM and step count, which accounted for 68% and 65% of TEE variance in boys and girls, respectively: boys, 47.1 × FFM (kg) + 0.0568 × step count (steps/d) – 122, and girls, 55.5 × FFM (kg) + 0.0315 × step count (steps/d) - 117.


The TEE in 10- to 12-year-old Japanese children measured using DLW was approximately 7% lower for boys and 12% lower for girls compared to the current Japanese DRI. If PAL can be accurately determined, the equation in the DRI for the United States and Canada may be applicable to Japanese children. In addition, TEE could be predicted using FFM and step count.


Total energy expenditureDoubly labeled waterFat-free massFat massDeuteriumPre-adolescent childrenEstimated energy requirementPhysical activity level


Estimated energy requirements (EER) as indicated in Dietary Reference Intakes for Japanese (Japan-DRI) [1] are defined as “habitual energy intake in a day which is predicted to have the highest probability that energy balance (energy intake − energy expenditure, in adults) becomes zero in a group [2].” EER can be estimated from dietary assessment by assuming that the energy intake and energy requirement are equal when weight does not fluctuate substantially over a short time, but this method underestimates EER [3]. Therefore, energy intake is assumed to equal total energy expenditure (TEE), and generally EER is estimated from TEE [4]. In children, when estimating EER from TEE, energy deposition for growth must be added (EER = TEE + energy deposition) [5].

Doubly labeled water (DLW) is the most accurate TEE estimation method under free-living conditions [6, 7], but it is expensive and requires specialized analysis equipment [8], making large-scale data collection difficult. The Japan-DRI refers to only 2 reports of DLW data from Japanese children [9, 10]. Consequently, the EER of Japanese children is determined based on other nationalities. To establish the EER of Japanese children, data using the DLW method must be collected to serve as a gold-standard population reference.

In the current Japan-DRI, children’s TEE is estimated by multiplying basal metabolic rate (BMR), determined by multiplying the sex- and age-specific BMR standard value per unit body weight by body weight, by the physical activity coefficients (PA) determined by the physical activity level (PAL) [4]. In obese adults, estimation using the BMR standard was reported to overestimate BMR [11]. However, the accuracy of the BMR standard to estimate TEE in children remains unknown. Moreover, the possible appropriateness of other TEE estimation formulae [5, 12] for children in Japan has not been established [4].

The largest component of TEE is typically BMR, which is determined by body size and composition, particularly fat-free mass (FFM) [13], and the inter-individual variability of TEE adjusted using FFM (or BMR) indicates inter-individual differences in physical activity energy expenditure. Therefore, by measuring body composition and physical activity, TEE might be predictable to some extent without the DLW method.

The current study aimed to 1) obtain baseline TEE data from Japanese children with the DLW method, 2) examine the accuracy of previously proposed TEE estimation equations, and 3) develop a new TEE estimation equation for 10- to 12-year-old children in Japan using body composition and pedometer data.



Physical activity levels significantly differ between rural and urban Japanese children [14]. Therefore, we recruited 62 healthy elementary school attendees (5th to 6th grade; age 10 to 12 years) in a rural area (Chiba prefecture) and an urban area (Hyogo prefecture). Fifth graders (n = 38) were measured in November 2006 (rural area, n = 36) and November to December 2007 (urban area, n = 2), and 6th graders (urban area, n = 24) were measured in February 2009, all during school days in a typical week. The inclusion criteria were healthy subjects without illness, with informed consent to participate in the study obtained from children and their parents. The experimental protocol compliant with the Code of Ethics of the World Medical Association (Declaration of Helsinki) and conducted with approval of the ethics committee of the Graduate School of Education, Hokkaido University (H18–04).

To assess their physical activity, participants wore pedometers (Omron, Kyoto, Japan) [15, 16] on their waist during the 7-d DLW period except when taking a bath or shower, swimming, and sleeping. We excluded subjects who spilled DLW during administration (n = 1), with stable isotope concentrations higher at 24 h than at 4 h after DLW administration (n = 3), who were absent on urine sample collection days (n = 2), or who wore the pedometer less than 3 days for ≥10 h per day during the 7-d DLW measurement period. The final dataset was obtained from 56 children (33 boys and 23 girls) for DLW and body composition data and from 52 children (31 boys and 21 girls) for step counts per day.

Total energy expenditure measurements using DLW

Total energy expenditure was measured over 7 d as described previously [17, 18]. Height and body weight (BW) were measured in underwear on the day of DLW administration. Subjects were administered ~0.18 g/kg BW 2H2O (99.8 atom%; Taiyo Nippon Sanso, Tokyo, Japan) and ~3.6 g/kg BW H2 18O (10.0 atom%; Taiyo Nippon Sanso). To ensure that all DLW was consumed, after the subject drank the DLW, we rinsed the container with a total of 50 mL commercial mineral water, which the subject also drank, and then repeated this procedure. Urine samples were collected before and 4 h, 1 d, 4 d, and 7 d after DLW administration. All participants included in the final dataset (n = 56) provided all five urine samples under a researcher’s or teacher’s supervision.

The urine samples were analyzed in duplicate or triplicate using stable isotope ratio mass spectrometry (Hydra 20–20, SerCon Ltd., Crewe, UK) with gas (H2 or CO2) equilibration methods, a platinum catalyst for H2, and commercially available stable isotope standards (Iso-Analytical, Crewe, UK). The average standard deviations (SD) were 0.25 ppm for 2H and 0.40 ppm for 18O. The 2H and 18O dilution spaces (Nd and No) were determined using the plateau method. The mean ± SD Nd/No in the present study was 1.031 ± 0.008 (range, 1.004–1.059), which is acceptable based on previous studies [19, 20]. Thus, total body water (TBW) (g) was calculated as the average of the value obtained by dividing the dilution space of 2H by 1.041 and the value obtained by dividing the dilution space of 18O by 1.007. TBW (mol) was obtained as TBW (g)/18.02, and carbon dioxide production rate (rCO2) (mol d−1) was calculated as 0.4554 × TBW (mol) × (1.007 × 18O elimination rate [ko] - 1.041 × 2H elimination rate [kd]), assuming that isotope fractionation applies only to breath water using eq. A6 by Schoeller et al. [21] with the revised dilution space constant provided by Racette et al. [19]. The average determinant coefficients (R2) of ko and kd were 0.997 and 0.995, respectively. The rCO2 (L d−1) was obtained as 22.4 × rCO2 (mol d−1). We assumed that the respiratory quotient (RQ) was 0.85 [22], and TEE was calculated using the modified Weir’s equation [23] as follows: TEE (kcal/d) = 1.1 rCO2 + 3.9 rCO2/RQ. The detailed quality checklist is described in International Atomic Energy Agency (IAEA) documents [24]. FFM was calculated using TBW with the age-dependent hydration factor of children [25]. Fat mass (FM) and percent fat (% fat) were calculated using FFM and BW. PAL was obtained by dividing TEE measured with the DLW method (TEEDLW) by resting energy expenditure (REE) from an estimation formula [26] obtained from Japanese children: for boys, 14.4 × BW (kg) + 5.09 × height (cm) – 34.0 × age (y) + 403, and for girls, 7.64 × BW (kg) + 4.22 × height (cm) – 22.5 × age (y) + 526. We assumed an age of 10 years for 5th graders and 11 years for 6th graders.

Predictive equations of total energy expenditure

The applicability of the three predictive estimations of TEE is shown in Table 1.
Table 1

Predictive equations of total energy expenditure (TEE)


Predictive equations

TEEJ-DRI (kcal/d) [4]

BMR standarda (kcal/kg/d) × body weight (kg) × PAJ-DRI b

TEEIOM (kcal/d) [5]

For boys aged 9–18 y: 88.5–61.9 × agec (y) + PAIOM d × [26.7 × body weight (kg) + 903 × height (m)]

For girls aged 9–18 y: 135.3–30.8 × agec (y) + PAIOM d × [10.0 × body weight (kg) + 934 × height (m)]

TEEFAO (kcal/d) [12]

For boys aged 1–18 y: 310.2 + 63.3 × body weight (kg) - 0.263 × body weight (kg)2

For girls aged 1–18 y: 263.4 + 65.3 × body weight (kg) - 0.454 × body weight (kg)2

aBMR standard is 37.4 kcal/kg/d for boys and 34.8 kcal/kg/d for girls [4]

bPhysical activity coefficients (PA) determined by PAL in Japan-DRI (PAJ-DRI) [4] are as follows: if PAL <1.55, PA = 1.45 (level I); if 1.55 ≤ PAL <1.75, PA = 1.65 (level II); and if 1.75 ≤ PAL, and PA = 1.85 (level III) for both boys and girls

cWe assumed an age of 10 years for 5th graders and 11 years for 6th graders

dPA used in the DRI for the United States and Canada developed by the Institute of Medicine (IOM) (PAIOM) [5] are as follows: boys, sedentary (1.0 ≤ PAL <1.4, PA = 1.00), low activity (1.4 ≤ PAL <1.6, PA = 1.13), active (1.6 ≤ PAL <1.9, PA = 1.26), and very active (1.9 ≤ PAL <2.5, PA = 1.42); girls,: sedentary (PA = 1.00), low activity (PA = 1.16), active (PA = 1.31), and very active (PA = 1.56)

Statistical analysis

Results are presented as means ± SD. Analysis of covariance (ANCOVA) was used to analyze sex differences adjusting for measurement timing, because the measurement sites (urban vs. rural) and seasons (Oct.-Nov. vs Feb.) were potential confounders. To examine factors related to TEE, we used partial correlation analysis, also adjusting for measurement timing. To standardize FFM, we treated FFM as a covariate, because the intercept of the linear regression of FFM (x) against TEE (y) significantly differed from zero [27]. To analyze the differences and relationships between TEEDLW and each estimated TEE, repeated-measures analysis of covariance with Bonferroni correction and partial correlation coefficient, adjusting for measurement timing, was used. The accuracy of estimated TEE was evaluated using Bland-Altman plots and root mean squared error (RMSE) as follows: \( RMSE=\sqrt{\varSigma {\left( predicted\ TEE- measured\ TEE\right)}^2/n\ } \). The relationship between BMI and bias (predicted TEE − measured TEE) was analyzed by partial correlation, adjusting for measurement timing. Multiple linear regression analyses for predicting TEE, FFM, and step counts were entered into the regression equation simultaneously. The threshold for statistical significance was p < 0.05. SPSS Statistics 23 software (IBM Inc., Japan, Tokyo) was used for statistical analysis.


Table 2 shows the physical characteristics, body composition, TEE, REE, PAL, and daily step counts. Subjects’ average height and body weight ranged from 100% to 106% of the corresponding reference values [4] of the Japan-DRI. Compared to the corresponding FFMs measured using bioelectrical impedance in a previous study [26], the present FFMs were slightly higher (112% for boys, 106% for girls). Step counts were similar to those of previously reported Japanese subjects (aged 8.9 ± 1.8, for boys: 12,152 ± 2804 steps/d, for girls: 10,408 ± 1808 steps/d) [28]. Six boys and one girl were overweight, and one boy was obese based on BMI cutoffs [29]. TEEDLW, predicted REE, and step counts were significantly higher in boys than girls; however, there was no significant sex difference for PAL (overall average PAL [n = 56], 1.58 ± 0.17). Excluding overweight and obese subjects, TEEDLW was 2067 ± 230 kcal/d for boys and 1830 ± 262 kcal/d for girls.
Table 2

Characteristics of the subjects






Mean ± SD


Mean ± SD

p i

Height (cm)


142.6 ± 6.9


145.5± 6.6


Body weight (kg)


37.9 ± 6.7


36.7 ± 6.3


BMIa (kg/m2)


18.6 ± 2.8


17.2 ± 1.9


 Overweight [n (%)]


6 (18%)


1 (4%)


 Obesity [n (%)]


1 (3%)


0 (0%)


FFMb (kg)


31.9 ± 4.3


29.6 ± 4.0


FMc (kg)


6.0 ± 3.7


7.1 ± 4.5


% fat (%)


15.1 ± 7.2


18.6 ± 9.4


TEEDLW-1d (kcal/d)


2107 ± 273


1847 ± 269


REEe (kcal/d)


1321 ± 113


1185 ± 69




1.60 ± 0.16


1.56 ± 0.19


Step count (steps/d)g


12,823 ± 2945


10,526 ± 2493


TEEDLW-2h (kcal/d)


2067 ± 230


1830 ± 262


aSubjects were classified based on BMI cutoffs [29]

b FFM fat-free mass

c FM fat mass

dTotal energy expenditure measured by doubly labeled water of all subjects

eResting energy expenditure was predicted by equation of Kaneko et al. [26]

fPhysical activity level was calculated as TEEDLW / predicted REE [26]

gWe excluded the data of two boys and two girls because of insufficient pedometer wearing time

hTEEDLW excluding overweight and obese subjects on the basis of BMI cutoffs [29]

iAnalysis of covariance on each characteristics, adjusting for measurement timing

Table 3 shows the partial correlations between TEE and body size, body composition, and step count. After adjusting for measurement timing, FFM showed the highest correlation coefficient in both boys and girls. After adding FFM as a covariate, only step count was significantly associated with TEE for both sexes. This result did not change after adjustment with FM.
Table 3

Partial correlation between TEE (kcal/d) and height, body weight (BW), body composition and step count








% fat



Boys and girls

























Boys and girls
























MTc and FFM

Boys and girls





















MTc, FFM and FM

Boys and girls















aFat-free mass derived from total body water

bFat mass calculated by subtracting FFM from body weight

cMeasurement timing

** p < 0.05, ** p < 0.01, *** p < 0.001

Table 4 shows the accuracy and association of each estimated TEE compared to TEEDLW. TEEJ-DRI and TEEFAO significantly differed from TEEDLW. TEEIOM demonstrated the smallest bias and RMSE (both sexes: bias, 2.0%; accurate estimation rate ≥ 90%). Partial correlation analysis indicated significant relationships between TEEDLW and all estimated TEEs for both boys and girls.
Table 4

Differences and correlations between the predicted and measured total energy expenditure (TEE)


TEE Mean (SD) kcal/d

Bias Mean [95% CI] %

RMSEe kcal/d

Accurate estimationf %

Under estimationg %

Over estimationh %

Correlation coefficient

Boys (n = 33)


2107 (273)


 TEE predicted



2264 (470)*

6.8 [2.6, 11.1]







2153 (321)

2.0 [0.3, 3.7]







2320 (279)*

10.9 [6.7, 15.0]






Girls (n = 23)


1847 (269)


 TEE predicted



2007 (401)*

8.6 [2.9, 14.2]







1882 (271)

2.0 [0.1, 3.9]







2031 (183)*

11.5 [5.7, 17.4]






aTEE measured by doubly labeled water (DLW) method

bTEE estimated by equation of Dietary Reference Intakes (DRI) for Japanese [4], basal metabolic rate (BMR) standard (kcal/kg/d) × body weight (kg) × PAJ-DRI (physical activity coefficient)

cTEE estimated by equation of Institute of Medicine (IOM) [5]

dTEE estimated by equation of FAO (Food and Agriculture Organization of the United Nations) [12]

eRoot mean squared error

fPercentage of the subjects predicted by equation within ± 10% of measured TEE

gPercentage of the subjects predicted by equation < 90% of measured TEE

hPercentage of the subjects predicted by equation > 110% of measured TEE

*Significantly different from TEEDLW, p < 0.05 (repeated measures analysis of covariance with Bonferroni correction, adjusting for measurement timing)

Signigicantly correlate with TEEDLW, p < 0.05 (Partial correlation coefficient, adjusting for measurement timing)

Fig. 1 shows Bland-Altman plots using three predictive equations and the relationships between BMI and bias (predicted TEE − measured TEE). The IOM equation had the smallest difference in the mean (42 kcal/d) and limits of agreements (−147 to 230 kcal/d). The range of limits of agreement was similar for the FAO equation (−288 to 691 kcal/d) and Japan-DRI (−358 to 674 kcal/d). Bias was strongly related to BMI in both sexes for TEEJ-DRI, whereas this relationship was weakly significant in boys and not significant in girls for both TEEIOM and TEEFAO. TEEIOM estimated TEE within ± 10% bias even for overweight or obese individuals.
Fig. 1

Bland-Altman plots and relationship between bias of total energy expenditure (TEE) and BMI. In the graph on the left, the thick straight line represents mean, and the dashed lines represent the lower and upper limits of agreement (± 2 standard deviations). a TEE estimated using the equation of Dietary Reference Intakes (DRI) for Japanese [4]. b TEE estimated using the Institute of Medicine (IOM) equation [5]. c TEE estimated using the Food and Agriculture Organization of the United Nation (FAO) equation [12]. In the graph on the right, the relationship between bias (predicted minus measured TEE) and BMI was examined using partial correlation analysis, adjusting for measurement timing

To predict TEE, FFM and step count were entered into the multiple regression analysis simultaneously (Table 5). For boys, the TEE (kcal/d) predictive equation was 47.1 × FFM (kg) + 0.0568 × step count (steps/d) - 122, and for girls, 55.5 × FFM (kg) + 0.0315 × step count (steps/d) – 117, which accounted for 68% and 65% of the TEE variance, respectively. Standard errors were 277 kcal/d for boys and 333 kcal/d for girls.
Table 5

Multiple linear regression analysis for predicting total energy expenditure (kcal/d) in 10- to 12-year-old children


Boys and girls (n = 52)

Boys (n = 31)

Girls (n = 21)

Predictor variables










FFM (kg)




























Adjusted R2 = 0.712

Adjusted R2 = 0.679

Adjusted R2 = 0.654

FFM fat-free mass, B partial regression coefficient, β standardised partial regression coefficient

All predictor variables were entered into the regression equation simultaneously


We found that TEEDLW of 10- to 12-year-old Japanese children was lower than current Japan-DRI criteria [4]. Furthermore, the IOM TEE equation [5] was applicable to Japanese children, and TEE could be predicted to some extent using FFM and step count.

The TEE indicated by the Japan-DRI is 2210 kcal/d for boys and 2070 kcal/d for girls [4]. Compared to the TEEDLW of non-overweight or -obese children in the present study (boys: 2067 ± 230 kcal/d, girls: 1830 ± 262 kcal/d), TEE of the Japan-DRI was approximately 7% higher for boys and 12% higher for girls. Moreover, TEEJ-DRI overestimated TEEDLW (Table 4). The only study of TEE in Japanese children aged 10 to 12 years cited by the Japan-DRI reported that TEE at an average age of 11.2 ± 1.0 years (boys: n = 5, girls: n = 7) was 1968 ± 299 kcal/d [9], which is lower than the TEE of the Japan-DRI, also suggesting that the EER of 10- to 12-year-old children in the current Japan-DRI may overestimate actual energy requirements.

FFM was reported to predict about 60% of TEE in elementary school children [27, 30]. While we also found a significant relationship between FFM and TEE, FFM explained 40–50% of inter-individual TEE variability in the present study, due to differences in participants’ range of FFM. FM also relates to TEE, because greater body size affects both REE and activity-related expenditure (AEE) through cost of weight-bearing activities [31]. These relationships are supported by the finding that children’s FFM was related to TEE, REE, and AEE, regardless of ethnicity [27]. Hence, the current and previous studies indicate that FFM is the major determinant of TEE in elementary school children.

We used step count as a physical activity index, as in previous studies [32, 33]. Step count was significantly related with TEE in both sexes after adjusting for FFM and FFM + FM, suggesting step count can explain inter-individual differences other than body size. Indeed, predictive equations consisting of FFM (kcal/d) and daily step count could account for 65% or more of TEE variance (Table 5). Previous studies reported that non-locomotive activity significantly impacted PAL [32], and girls’ step counts were not significantly related to PAL [33]. Thus, the predictive equation might be improved by adding measurements of non-locomotive activities, such as active standing or organized sports. Since approximately 90% of non-locomotive activities are light-intensity physical activity and strongly related with sedentary time [34], measurement of sedentary time may also be useful.

If PA can be accurately determined, the IOM equation estimates TEE with good accuracy and limited influence of BMI, but even after obtaining PAL from DLW measurements, the Japan-DRI equation overestimates approximately 30% of children because the BMR standard it employs is a multiple of the weight determined to fit the reference weight and has no intercept [4]. Therefore, as reported in a study of Japanese adults [35], individuals who deviate from the reference weight have greater error, with increasing TEE overestimation in the overweight and underestimation in the underweight.

While the FAO formula [12] similarly overestimates TEE of Japanese children by about 10%, it is advantageous in that it does not require PAL estimation.

The IOM estimation formula [5] of TEE for children aged 9 to 18 years is based on data measured with the DLW method in 525 American subjects in the 5th to 85th BMI percentile. Bandini et al. [36] reported that bias (TEEIOM - TEEDLW) was −5.8 ± 7.9% and accurate estimation was 70% in 161 girls aged 8 to 12 years, when using DLW-derived PAL for calculation. The accuracy of this estimation method has not been previously evaluated in a Japanese population [4]. In the present study, the average bias between TEEIOM and TEEDLW was 2.0%, and the rate of accurate estimation exceeded 90% (Table 4). In addition, the IOM formula estimated TEE with an error within ± 10% and a small influence of subjects’ BMI (Fig. 1), suggesting that it is useful for estimating TEE in Japanese 10- to 12-year-old children.

There are several limitations to this study. First, because we did not obtain the participants’ birth dates, we assumed ages of 10 years for 5th grade and 11 years for 6th grade in the REE and IOM equations. In Japan, the 5th grade classes include 10- and 11-year-olds, and 6th grade classes include 11- and 12-year-old children. Assuming that all 5th graders were 11 and all 6th graders were 12 years old, the average REE value would be −34 kcal/d (−2.6% compared with present data) for boys and −23 kcal/d (−1.9%) for girls, the average TEEIOM value would be −62 kcal/d (−2.9%) for boys and −31 kcal/d (−1.6%) for girls, and the average PAL value would be +0.04 (+2.7%) for boys and +0.03 (+1.9%) for girls. Second, in TEE estimation by the DLW method, RQ is often substituted with the food quotient obtained from meal records, while the present study applied a factor of 0.85. However, it has been reported that the estimation error in this case was slight [22]. Third, when estimating PAL, we used estimated REE instead of the measured BMR value. Although the estimation error is considered small [26], the presence of some error must be acknowledged. The current Japan-DRI cited only research that actually measured BMR, while the TEE estimation formula used in the DRI for the United States and Canada included data that estimated BMR [5]. Fourth, the target age was limited to 10 to 12 years. It is unknown whether the results of this study can be applied to other age groups. In the future, data should be collected from children of various ages.


Our findings suggest that the IOM equation provides a more accurate estimation of TEE in Japanese 10-to 12-year-olds than the current Japan-DRI. We further derived a new TEE predictive equation based on FFM and step count per day for this population, the validity of which requires further investigation.


% fat: 

Percent fat


Analysis of covariance


Partial regression coefficient


Basal metabolic rate


Body weight


Doubly labeled water


Dietary Reference Intakes


Estimated energy requirements


Food and Agriculture Organization of the United Nations


Fat-free mass


Fat mass


2H elimination rate


18O elimination rate


2H dilution space


18O dilution space


Physical activity coefficients


Physical activity level


Carbon dioxide production rates


Resting energy expenditure


Root mean squared error


Respiratory quotient


Total body water


Total energy expenditure


Total energy expenditure measured by doubly labeled water


Total energy expenditure predicted by equation of Food and Agriculture Organization of the United Nations


Total energy expenditure predicted by equation of Dietary Reference Intakes for the United States and Canada, Institute of Medicine


Total energy expenditure predicted by equation of Japan Dietary Reference Intakes


Standardized partial regression coefficient



We thank the participants for their cooperation in this study.


This work was supported by Grant-in-Aid for Scientific Research (B) (18300197) and Grant-in-Aid for Scientific Research (B) (20300219).

Availability of data and materials

The datasets generated and/or analyzed during the current study are available from the corresponding author on reasonable request.

Authors’ contributions

KI and NE contributed to the conception of this study; SN, KH, NE, KS, HO, YY, and MK collected data; SN, YY, and MK analyzed data; KI acquired the research funding and supervised the whole study process; KK performed the statistical analysis and drafted the manuscript. All authors have read and approved the final manuscript.

Ethics approval and consent to participate

As described in the “Methods”, informed consent was obtained from all participants, and the Ethical Committee of Graduate School of Education, Hokkaido University approved the study protocol (Receipt Number: H18–04). All participants and their parents consented to publication of the data.

Consent for publication

Not applicable.

Competing interests

The authors declare that they have no competing interests.

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Authors’ Affiliations

Graduate School of Health and Sports Science, Doshisha University
Department of Early Childhood Education, Kyoto Bunkyo Junior College
Department of Nutrition and Metabolism, National Institutes of Biomedical Innovation, Health and Nutrition
Faculty of Health and Medical Sciences, Kyoto Gakuen University
Faculty of Health and Sports Science, Doshisha University
Faculty of Education, Art and Science, Yamagata University
School of Management, Shizuoka Sangyo University


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