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Accurate Estimation of Energy Requirements of Young Patients

Carpenter, Andrea; Pencharz, Paul; Mouzaki, Marialena

Journal of Pediatric Gastroenterology and Nutrition: January 2015 - Volume 60 - Issue 1 - p 4–10
doi: 10.1097/MPG.0000000000000572
Invited Review

ABSTRACT The provision of optimal nutritional care is based on accurate estimations of patients’ resting energy expenditure. The latter can be calculated with the use of predictive equations or measured with indirect calorimetry (IC). Owing to their ease of use, mathematical equations have largely replaced IC in clinical practice. This article examines the limitations and predictive inaccuracy of commonly used equations in pediatrics, which may contribute to the provision of poor nutritional care and directly affect patient outcomes. In addition, the role of IC is discussed and the physiology of nutrient metabolism, in terms of energy expenditure, is reviewed.

Division of Gastroenterology, Hepatology and Nutrition, Hospital for Sick Children, University of Toronto, Toronto, Canada.

Address correspondence and reprint requests to Marialena Mouzaki, MD, MSc, Hospital for Sick Children, 555 University Ave, Toronto, ON M5G1X8, Canada (e-mail:

Received 3 July, 2014

Accepted 11 September, 2014

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The authors report no conflicts of interest.

In 1985, the Food and Agriculture Organization/World Health Organization/United Nations University (FAO/WHO/UNU) document “Energy and Protein Requirements” recommended that estimates of daily caloric requirements are based on measures of energy expenditure (1). The energy expended at rest, while lying awake at a thermoneutral environment after an overnight fast, is called basal metabolic rate (BMR). Indirect calorimetry (IC) is a clinical tool that measures resting energy expenditure (REE), which even though not identical, approximates BMR. The REE can then be used in the estimation of total energy expenditure when an individual's level of physical activity is known. The ability to measure REE is hence important in assessing an individual's caloric needs.

IC is not widely available in the clinical setting. It is costly, and its use requires training and expertise. For that reason, although it is believed to be the most accurate clinically available tool for the measurement of REE, its use has been largely replaced by predictive equations that estimate one's energy expenditure at rest. The first equations developed were based on IC-derived measurements that had been collected from a small number of primarily white subjects. During the 20th century, the predictive inaccuracy of these equations, particularly when applied to subjects with different characteristics (eg, lean vs overweight, healthy vs ill, those living in tropical vs cool climates), became apparent (2). To address this matter, newer equations (FAO/WHO/UNU (1), Schofield (3), and Oxford (2)) were developed.

For the purposes of the 1985 FAO/WHO/UNU report on energy and protein requirements, Schofield reviewed previously published studies reporting on the BMR of healthy children and adults. He synthesized the results of 114 different studies, including the study that had introduced the Harris-Benedict equation at the beginning of the 20th century (1,3). Schofield data included a total of 7173 BMR measurements. These data were subsequently used for the development of the FAO/WHO/UNU equations, as well as the Schofield equations (called Schofield [weight] and Schofield [weight and height]). The generalizability of these equations has since been found to be limited (4–6), particularly because the studies used in their development did not represent all ethnicities (Europeans and North Americans formed the majority, whereas the representation of individuals from the tropics was poor). In addition, 47% of the measurements were made in Italians, who were subsequently found to have a higher BMR per kilogram of body weight than average, leading to overestimations of BMR when the equations were applied to non-Italian individuals (7). In an effort to address some of these limitations, Henry (2) created the Oxford equations in 2005. These equations were based on 10,552 measurements and excluded the Italian cohort used by Schofield. In addition, measurements from 4018 individuals living in the tropics were included. Presently, clinicians primarily use the FAO/WHO/UNU, Schofield, and Oxford equations in their practice. These equations are summarized in Table 1(1–3).



Considering their aforementioned limitations, as well as the fact that equations are designed to predict the mean REE of a population, rather than that of individuals, we aimed at reviewing the literature addressing the predictive accuracy of these and other disease-specific equations in the pediatric setting. Specifically, the goals of this article were to discuss the performance of predictive equations in various clinical settings, draw attention to the areas of pediatric clinical care wherein the predictive accuracy of these equations has not been elucidated, and review the pathophysiology of energy metabolism as it relates to energy expenditure. Finally, the role of IC in the nutritional monitoring of children with different health issues is discussed.

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The accuracy and generalizability of the FAO/WHO/UNU and Schofield equations have been studied in healthy children of various ages and physical activity levels. Among other equations, Thomson et al (8) studied the predictive accuracy of the FAO/WHO/UNU and Schofield (weight, weight and height) and Harris-Benedict equations in 36 infants. The FAO/WHO/UNU was the most accurate equation studied; however, all of the equations overestimated the REE in this setting: FAO/WHO/UNU overestimated by 104% ± 14%; Schofield [weight] and Schofield [weight and height] overestimated by 107.5% ± 14% and 106% ± 11%, respectively, and Harris-Benedict overestimated by 182% ± 63%. Finan et al (9) performed a similar study in a cohort of 113 prepubertal children. In this study, although the FAO/WHO/UNU equations performed better than the rest, with 99% of the estimates being within 200 kcal/day, none of the equations assessed accurately predicted energy requirements (9). The validity of predictive equations in moderately active adolescents was assessed by De Lorenzo et al (10). In this study the authors concluded that despite significant variability in the results, the Schofield equations could be used in clinical practice for moderately active 16- to 18-year-olds, because the mean estimated REE was within 1% of that measured. The FAO/WHO/UNU equations were not studied by De Lorenzo et al. Finally, Rodriguez et al (11) assessed the agreement between predictive equations and IC in a cohort of 59 normal weight children, ages 7.8 to 16.6 years. The Schofield [weight] equation performed best in that group, providing results within 300 kcal/day of that measured using IC. Further dividing the cohort based on sex revealed that the Schofield [weight and height] equation was better for boys and the FAO/WHO/UNU for girls. To summarize, the FAO/WHO/UNU equations appear to perform better than others in healthy children; however, they are not consistently accurate across all ages, sexes, and physical activity levels. The Oxford equations remain to be validated in healthy children.

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Failure to thrive (FTT) indicates poor physical growth and primarily affects children <3 years of age (12,13). FTT may be secondary to suboptimal energy intake, insufficient nutrient absorption, or increased energy expenditure. Regardless of the cause, children with FTT usually have decreased muscle mass, which is associated with a decrease in BMR. The variability in the etiology of FTT may render predictive equations for BMR inaccurate, as discussed below.

Two studies have compared calculated and measured REE in the setting of FTT with similar results. Sentongo et al (14) assessed 45 children ages 0 to 3 years and Kaplan et al (15) studied 77 children ages 0.2 to 20.5 years. Sentongo et al showed that the FAO/WHO/UNU and Schofield equations estimated REE within 10% accuracy in less than half of the subjects studied and overall tended to underestimate the REE. Kaplan et al found that among the FAO/WHO/UNU, Schofield, and Harris-Benedict equations, the Schofield [weight and height] had the best predictive ability, which was, however, suboptimal because it estimated the REE to be within 20% of that measured. Underestimating the energy requirements of patients with FTT can have significant nutritional implications, such as failure to catch up weight gain, suboptimal linear growth, and potential negative future neurodevelopmental outcomes. The use of IC should be considered in the management of these children, particularly when established nutritional plans do not have the expected outcome in terms of weight gain.

Apart from FTT, Cuerda et al have assessed the accuracy of various equations in predicting the caloric requirements of patients with eating disorders in 2 similar studies (16,17). The intraclass correlation between equations studied (including FAO/WHO/UNU and Schofield [weight and height]) and IC results was poor (0.09–0.20), suggesting that the caloric needs of young, hospitalized girls with eating disorders cannot be accurately predicted. The authors concluded that IC is an important clinical tool to assist in the nutritional management of patients with eating disorders.

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Childhood obesity is a growing epidemic. In 1981, 14% of children ages 15 to 19 years were overweight or obese (18); however, by 2009 to 2011 that number more than doubled, with 32% of Canadian children ages 5 to 17 being overweight or obese (–625-x/2012001/article/11712-eng.pdf). Children who are overweight or obese have different body composition compared with their healthy-weight peers. Apart from the excess adipose tissue, these patients also have increased muscle mass, which increases their REE. For that reason, predictive equations specific for overweight and obese subjects have been developed; their accuracy does not appear to be consistent, however, as discussed below and summarized in Table 2(15,19–23).



McDuffie et al (19) examined the predictive ability of equations developed for healthy subjects (including FAO/WHO/UNU, Schofield [weight, weight and height]), as well as other equations developed specifically for obese individuals (Molnar-1 and Molnar-2, Tverskaya, and Maffers). In this study, which included 502 subjects between the ages of 6 and 11 years, not a single equation was found to accurately predict the BMR of most individuals. In response to these results, McDuffie et al (19) generated 4 new sex- and ethnicity-specific pediatric equations, which allowed for more accurate predictions. In a similar study of 102 subjects 3 to 18 years old, Tverskaya et al (20) showed that, of the equations assessed, the FAO/WHO/UNU was the most accurate predictor of energy requirements, especially in adolescents. Given the inaccuracies of the existing equations, Tverskaya et al (20) created a new equation to include weight, fat-free mass, fat mass, age, and height. It was found to predict requirements within 4% of that measured with IC. The equations derived by McDuffie et al (19) and Tverskaya et al (20) have not yet been validated in subsequent studies.

These results, along with the other studies summarized in Table 2, argue the need for pediatric-specific equations that take variables such as sex, ethnicity, puberty, and body composition into consideration. Until such equations are developed and/or validated, IC will remain the most accurate indicator of REE in these subjects.

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Metabolism, energy expenditure, and body composition are altered in patients with end-stage liver disease (ESLD) (24). This is secondary to hepatocellular dysfunction, disease-related complications, and/or malnutrition with associated sarcopenia (25). Shepherd (26) studied 18 infants (mean age 0.44 ± 0.29 years) listed for transplant for ESLD secondary to biliary atresia and showed that the FAO/WHO/UNU and Schofield equations underestimated the BMR by a staggering 30%. Considering the significant prevalence of malnutrition in ESLD (25) and the effects of nutritional status on long-term outcomes (27), IC should be used when available to assist in the nutritional care of these fragile patients. Many studies report improved outcomes after liver transplantation, when an optimal nutritional status is maintained before undergoing surgery (28,29). When taking care of patients in ESLD, clinicians should take into consideration complications such as maldigestion because of cholestasis, when estimating their patients’ total caloric requirements.

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Inflammatory bowel disease (IBD) is characterized by intestinal inflammation that waxes and wanes (30). Inflammation and associated fevers increase energy expenditure (31); conversely, malabsorption and anorexia contribute to loss of muscle mass, decreasing energy expenditure. Hill et al (32) studied the accuracy of the FAO/WHO/UNU and Oxford equations in 63 children with IBD at a mean age of 14 years. Neither equation performed well across all subjects because they all underestimated the patients’ REE by 5% to 8%. Cormier et al (33) also assessed the FAO/WHO/UNU equation for children of similar age, who were receiving parenteral nutrition. In this setting the FAO/WHO/UNU equations performed well, with a correlation between measured and calculated energy expenditure of r2 = 0.73. Finally, a study of 23 patients with inactive IBD (median age 14 years) demonstrated the inadequacy of the Schofield equation in predicting REE—the results of IC were 79% to 136% of what was calculated with the equations. Despite differences in the cohorts studied (hospitalized vs outpatients, in remission vs flaring), no equation was found to accurately predict energy requirements in all patients. Considering that IBD predominantly affects young teenagers and that energy requirements vary significantly depending on the severity of the clinical phenotype and the patients’ body composition, IC is a useful tool to help guide the provision of calories for growth. Similarly to patients with ESLD, it is important to note that when estimating the TEE of patients with IBD, intestinal losses associated with malabsorption need to be taken into account because they lead to increased caloric demand.

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Apart from muscle mass, the primary determinant of energy requirements in patients with cystic fibrosis (CF) is the severity of lung disease (34). A few studies have compared the results of IC with that of predictive equations in this setting, in a wide spectrum of ages and severity of pulmonary involvement (8,35,36). The results of these studies are similar. Thomson et al (8) showed that in infants with CF (0.4 ± 0.3 years) the FAO/WHO/UNU and Schofield equations underestimate energy requirements by 12% to 16%. In young children (ages 3.25–12.75 years) with CF and stable lung disease the Harris-Benedict and Cystic Fibrosis Consensus Committee equations are also inaccurate, because they underestimate energy expenditure by 13% and 8%, respectively (35). The same is true in teenagers and young girls with CF and pancreatic insufficiency (36). In summary, presently available predictive equations are not reliable in the setting of CF and tend to underestimate the energy needs of this population.

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Children with cerebral palsy (CP) are generally at risk for malnutrition (37). The most common finding is decreased muscle mass (sarcopenia), the degree of which depends on the type of neurological injury (spastic vs hypotonic). Considering the direct effect of muscle mass on REE one would expect significant variations in the energy requirements of these patients. Bandini et al (38) assessed 13 children with CP and found that the FAO/WHO/UNU equation estimated the REE within 10% of that measured and was hence useful in determining daily energy needs for this population. In contrast, Dickerson et al (39) found that the mean REE of nonambulatory, neurologically impaired, tube-fed dependent patients was up to 26% lower than the estimate of the FAO/WHO/UNU equations. On the basis of these results, a new equation was developed; its accuracy in predicting REE remains to be validated. Overall there is a risk of overestimating the energy needs of patients with CP when using standard predictive equations. IC may assist in the nutritional management of these challenging patients until equations that include a measure of muscle mass are developed.

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Patients admitted to the pediatric intensive care unit are not homogeneous in terms of their underlying illness, medical history, and body composition. In addition, treatments provided in the intensive care unit can vary and have the potential to affect resting energy requirements (eg, paralytic agents). The equations studied in this setting are summarized in Table 3(40–47). In general, predictive equations are often inaccurate owing to the wide variation in energy expenditure of patients in this setting. The American Society of Enteral and Parenteral Nutrition recommends the use of IC in the intensive care unit in a number of clinical settings (48). It is useful for patients with a body mass index <5th or >85th percentile, weight loss in excess of 10% while in the intensive care unit, in those with central nervous system trauma with dysautonomia or oncologic diagnoses, patients taking muscle relaxants or on ventilatory support for >7 days, and those who have been in the intensive care unit for >4 weeks (49). IC is also recommended for those “at risk for hypo- or hypermetabolism” and in cases of consistent failure to meet caloric goals (49).



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Guidelines of the Committee on Nutrition of the European Society for Pediatric Gastroenterology, Hepatology, and Nutrition suggest that, in addition to adequate protein intakes, healthy premature infants require between 110 and 135 kcal · kg−1 · day−1 to grow (50). Preterm infants, however, often have a number of other comorbidities, which can directly affect their ability to feed and grow. Preterm infants, particularly very-low-birth-weight infants, are more likely to have an energy deficit as a result of one or more of the following: suboptimal calorie intake, low energy reserves, and/or increased energy requirements. Cai et al (51) compared the measured REE of 154 healthy newborns with weights between 2500 and 4000 g with that calculated using various equations, including the FAO/WHO/UNU, Schofield [weight], and Schofield [weight and height]. The predictive equations overestimated measured REE by approximately 12%. Apart from body composition, the REE of neonates may be affected by their environment, disease activity, and treatment (51), which can render predictive equations inaccurate and lead to suboptimal energy provision. Further research is needed to assess the predictive performance of equations in this setting.

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Congenital heart disease may be associated with premature birth, increased cardiac function and/or work of breathing, as well as other congenital anomalies. These factors may increase the REE of infants, whose outcome is in part dependent on their nutritional status. The energy expenditure of 26 infants with single-ventricle physiology post-Fontan was measured and subsequently compared with the FAO/WHO/UNU equation results in a study by Mehta et al (40). Equations overestimated the REE of 53% of patients by 20% or more and hence, the correlation between the results of the FAO/WHO/UNU equation and that of IC was poor. Similar findings were reported by another study of 38 young patients with congenital heart disease, who had IC performed immediately pre- and 1-week postsurgical repair (52). The Schofield and Altman & Dittmer equations were used to predict REE in this study. In contrast, Avitzur et al (53) showed that the Schofield equation was accurate in predicting energy requirements in young children (<3 years of age) before and 5 days after the repair of their congenital heart disease (predicted REE only 3% lower than measured). The FAO/WHO/UNU equation performed poorly in this setting; the predicted REE was 16% to 20% lower than the measured. The differences in the results of the aforementioned studies may be secondary to variations in body composition, severity of heart disease, as well as other comorbidities of the patients investigated. Further research is needed to clarify the role of predictive equations in children with congenital heart disease.

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Of all predictive equations reviewed, none provides consistently accurate results in any population. Despite pooling patients into disease-specific conditions, divided further by age, sex, and, in some instances, race, generalizations are difficult to make. The common denominator that limits the predictive ability of all equations is the lack of measures of body composition in the calculation. Weight and height are often included; however, neither of those measures reflects body composition. A clinically available tool that allows the determination of muscle mass is the mid-arm muscle circumference. It would be of value to assess the predictive ability of equations that include measures of muscle mass.

In children and adults the major determinant of REE is muscle mass (Fig. 1) (54–56). Conditions associated with changes in muscle mass have been shown to affect REE. An example of such conditions is anorexia nervosa. The REE of children with this eating disorder is significantly decreased and correlates with the degree of sarcopenia (30). Apart from changes in body composition, however, there are other factors associated with chronic illness that have an impact on a patient's REE. Such factors include inflammation, malignancies, neurological impairment, and medications.



Inflammation has been shown to increase the REE via increased expression of cytokines (57). Inflammation is believed to be the reason why patients with Crohn disease have a “normal” measured REE, despite measurable decreases in muscle mass (58). Also, inflammation plays a role in patients with CF, whose energy expenditure is higher than what would be considered normal, despite a poor nutritional status (59). The fact that the REE is higher in these patients than in those with Crohn disease suggests that either the inflammatory response is more pronounced in CF or the energy cost of breathing contributes to this increase (60). The latter has been shown in patients with CF, who on average have an increased oxygen uptake per kilogram of lean body mass compared with healthy controls (61). Certain malignancies are also associated with changes in REE. Children with acute lymphoblastic leukemia have an increased REE, which correlates closely with the degree of tumor burden and promptly returns to normal with treatment (62). In contrast, patients with CP have a disproportionately low REE for their degree of sarcopenia (63). It has been postulated that central nervous system impairment may be contributing to this phenomenon (63). Sympathetic nerve activity has been shown to correlate with energy expenditure, and apart from its role in patients with neurological impairment it is also believed to contribute to ethnic variations in REE (63). Finally, medications can have a direct effect on energy expenditure, as shown with nifedipine, which increases the REE and paralytic agents, which are associated with decreases in REE (64,65).

To summarize, REE is reflective of muscle mass but, in the clinical setting, is also determined by disease states and medical interventions. General predictive equations (eg, the FAO/WHO/UNU and Harris equations) are inefficient in predicting REE in most cases because they are not disease specific and they are based on the assumption that weight is reflective of body composition, which does not always hold true.

Of the available equations, the Oxford equations may prove to be the most accurate and generalizable considering the number of BMR measurements used to design them and the wide spectrum of populations and geographical origins they represent. Their validity has not yet been assessed in different settings, and hence their accuracy remains to be determined. Other disease-specific equations will also need to be validated further to determine their predictive ability. Presently, the FAO/WHO/UNU equations perform better than the rest; however, they should be interpreted with caution in certain patient populations. IC should be used, when available, to determine the energy needs of populations at risk (especially those who are extremely young, frail, already malnourished and critically ill).

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energy requirements; FAO/WHO/UNU; indirect calorimetry; Oxford; predictive equations; Schofield

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