Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Original Communication
  • Published:

Use of anthropometric variables to predict relative body fat determined by a four-compartment body composition model

Abstract

Objective: To generate equations for the prediction of percent body fat (% BF) via a four-compartment criterion body composition model from anthropometric variables and age.

Design: Multiple regression analyses were used to predict % BF from the best-weighted combinations of independent variables.

Subjects: In all 79 healthy males (X̄±s.d.: 35.0±12.2 y; 84.24±12.53 kg; 179.8±6.8 cm) aged 19–59 y were recruited from advertisements placed in a university newsletter and on community centres' noticeboards.

Interventions: The following measurements were conducted: % BF using a four-compartment (water, bone mineral mass, fat and residual) model and a restricted anthropometric profile (nine skinfolds, five girths and two bone breadths).

Results: Stepwise multiple regression selected six (subscapular, biceps, abdominal, thigh, calf and mid-axilla) of the nine skinfold measurements to predict % BF and using the sum of these six produced a quadratic equation with a standard error of estimate (SEE) and R2 of 2.5% BF and 0.89, respectively. The inclusion of age as a predictor further improved the equation (% BF=−0.00057 × (∑6SF)2+0.298 × ∑6SF+0.078 × age – 1.13; SEE=2.2% BF, R2=0.91). However, the best equation used only the sum of three skinfold thicknesses (mid-axilla, calf and thigh) and age but also included waist girth and biepicondylar femur breadth as predictors (% BF=−0.00258 × (∑3SF)2+0.558 × ∑3SF+0.118 × age+0.282 × waist girth – 2.100 × femur breadth – 2.34; SEE=1.8% BF, R2=0.94). Analyses of two age groups, <30 and ≥30 y, demonstrated that for the same % BF, the former exhibited a higher sum of skinfold thicknesses.

Conclusions: Equations were generated for the prediction of % BF via the four-compartment criterion body composition model from anthropometric variables and age. Agewise differences for the sum of skinfold thicknesses may be related to an increase in internal fat for the older subjects.

Sponsorship: Australian Research Council (small grants scheme).

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1
Figure 2
Figure 3

Similar content being viewed by others

References

  • Allen TH, Krzywicki HJ & Roberts JE (1959): Density, fat, water, and solids in freshly isolated tissues. J. Appl. Physiol. 14, 1005–1008.

    Article  CAS  Google Scholar 

  • Bliznak J & Staple TW (1975): Roentgenographic measurement of skin thickness in normal individuals. Radiology 116, 55–60.

    Article  CAS  Google Scholar 

  • Brožek J, Grande F, Anderson JT & Keys A (1963): Densitometric analysis of body composition: revision of some quantitative assumptions. Ann. NY Acad. Sci. 110, 113–140.

    Article  Google Scholar 

  • Brožek J & Kinzey W (1960): Age changes in skinfold compressibility. J. Gerontol. 15, 45–51.

    Article  Google Scholar 

  • Carlyon RG, Bryant RW, Gore CJ & Walker RE (1998): Apparatus for precision calibration of skinfold calipers. Am. J. Hum. Biol. 10, 689–697.

    Article  CAS  Google Scholar 

  • Carter JEL (1980): The Heath–Carter Somatotype Method, pp 2–4. San Diego: San Diego State University.

    Google Scholar 

  • Clarys JP, Martin AD, Drinkwater DT & Marfell-Jones MJ (1987): The skinfold: myth and reality. J. Sports Sci. 5, 3–33.

    Article  CAS  Google Scholar 

  • Dahlberg G (1940): Statistical Methods for Medical and Biological Students, pp 122–132. London: Allen and Unwin.

    Google Scholar 

  • Deurenberg P, Weststrate JA & van der Kooy K (1989): Is an adaptation of Siri's formula for the calculation of body fat percentage from body density in the elderly necessary? Eur. J. Clin. Nutr. 43, 559–568.

    CAS  PubMed  Google Scholar 

  • Durnin JVGA & Womersley J (1974): Body fat assessed from total body density and its estimation from skinfold thickness: measurements on 481 men and women aged 16 to 72 years. Br. J. Nutr. 32, 77–97.

    Article  CAS  Google Scholar 

  • Fidanza F, Keys A & Anderson JT (1953): Density of body fat in man and other mammals. J. Appl. Physiol. 6, 252–256.

    Article  CAS  Google Scholar 

  • Fomon SJ, Haschke F, Ziegler EE & Nelson SE (1982): Body composition of reference children from birth to age 10 years. Am. J. Clin. Nutr. 35, 1169–1175.

    Article  CAS  Google Scholar 

  • Haschke F, Fomon SL & Ziegler EE (1981): Body composition of a nine-year-old reference boy. Pediatr. Res. 15, 847–849.

    Article  CAS  Google Scholar 

  • Heymsfield SB, Lichtman S, Baumgartner RN, Wang J, Kamen Y, Aliprantis A & Pierson Jr RN (1990): Body composition of humans: comparison of two improved four-compartment models that differ in expense, technical complexity, and radiation exposure. Am. J. Clin. Nutr. 52, 52–58.

    Article  CAS  Google Scholar 

  • Heymsfield SB, Wang J, Kehayias J, Heshka S, Lichtman S & Pierson Jr RN (1989): Chemical determination of human body density in vivo: relevance to hydrodensitometry. Am. J. Clin. Nutr. 50, 1282–1289.

    Article  CAS  Google Scholar 

  • Jackson AS & Pollock ML (1978): Generalized equations for predicting body density of men. Br. J. Nutr. 40, 497–504.

    Article  CAS  Google Scholar 

  • Jackson AS & Pollock ML (1985): Practical assessment of body composition. Phys. Sportsmed. 13, 76–90.

    Article  CAS  Google Scholar 

  • Jackson AS, Pollock ML & Ward A (1980): Generalized equations for predicting body density of women. Med. Sci. Sports Exerc. 12, 175–182.

    CAS  PubMed  Google Scholar 

  • Lohman TG (1981): Skinfolds and body density and their relation to body fatness: a review. Hum. Biol. 53, 181–225.

    CAS  Google Scholar 

  • Martin AD, Ross WD, Drinkwater DT & Clarys JP (1985): Prediction of body fat by skinfold caliper: assumptions and cadaver evidence. Int. J. Obes. 9, 31–39.

    PubMed  Google Scholar 

  • Méndez J, Keys A, Anderson JT & Grande F (1960): Density of fat and bone mineral of the mammalian body. Metabolism 9, 472–477.

    Google Scholar 

  • Milliken LA, Going SB & Lohman TG (1996): Effects of variations in regional composition on soft tissue measurements by dual-energy X-ray absorptiometry. Int. J. Obes. 20, 677–682.

    CAS  Google Scholar 

  • Norton K (1996): Anthropometric estimation of body fat. In Anthropometrica, eds K Norton & T Olds, pp 171–198. Sydney: University of New South Wales Press.

    Google Scholar 

  • Norton K, Whittingham N, Carter L, Kerr D, Gore C, & Marfell-Jones M (1996): Measurement techniques in anthropometry. In Anthropometrica, eds K Norton & T Olds, pp 25–75. Sydney: University of New South Wales Press.

    Google Scholar 

  • Schoeller DA, Ravussin E, Schutz Y, Acheson KJ, Baertschi P & Jéquier E (1986): Energy expenditure by doubly labelled water: validation in humans and proposed calculation. Am. J. Physiol. 250, R823–R830.

    CAS  PubMed  Google Scholar 

  • Siri WE (1961): Body composition from fluid spaces and density: analysis of methods. In Techniques for Measuring Body Composition, eds J Brožek & A Henschel, pp 223–244. Washington DC: National Academy of Sciences — National Research Council.

    Google Scholar 

  • Snead DB, Birge SJ & Kohrt WM (1993): Age-related differences in body composition by hydrodensitometry and dual energy X-ray absorptiometry. J. Appl. Physiol. 74, 770–775.

    Article  CAS  Google Scholar 

  • Taylor JR (1982): An Introduction to Error Analysis, pp 52–124. Mill Valley, CA: University Science Books.

    Google Scholar 

  • van der Ploeg GE, Gunn SM, Withers RT, Modra AC & Crockett AJ (2000): Comparison of two hydrodensitometric methods for estimating percent body fat. J. Appl. Physiol. 88, 1175–1180.

    Article  CAS  Google Scholar 

  • Wellens R, Chumlea WC, Guo S, Roche AF, Reo NV & Siervogel RM (1994): Body composition in white adults by dual-energy X-ray absorptiometry, densitometry, and total body water. Am. J. Clin. Nutr. 59, 547–555.

    Article  CAS  Google Scholar 

  • Williams DP, Going SB, Lohman TG, Hewitt MJ & Haber AE (1992): Estimation of body fat from skinfold thicknesses in middle-aged and older men and women: a multiple component approach. Am. J. Hum. Biol. 4, 595–605.

    Article  Google Scholar 

  • Withers RT, Craig NP, Bourdon PC & Norton KI (1987): Relative body fat and anthropometric prediction of body density of male athletes. Eur. J. Appl. Physiol. Occup. Physiol. 56, 191–200.

    Article  CAS  Google Scholar 

  • Withers RT, LaForgia J & Heymsfield SB (1999): A critical appraisal of the estimation of body composition via two-, three-, and four-compartment models. Am. J. Hum. Biol. 11, 175–185.

    Article  Google Scholar 

  • Withers RT, LaForgia J, Pillans RK, Shipp NJ, Chatterton BE, Schultz CG & Leaney F (1998): Comparisons of two-, three-, and four-compartment models of body composition analysis in men and women. J. Appl. Physiol. 85, 238–245.

    Article  CAS  Google Scholar 

  • Womersley J, Durnin JVGA, Boddy K & Mahaffy M (1976): Influence of muscular development, obesity and age on the fat-free mass of adults. J. Appl. Physiol. 41, 223–229.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R T Withers.

Rights and permissions

Reprints and permissions

About this article

Cite this article

van der Ploeg, G., Gunn, S., Withers, R. et al. Use of anthropometric variables to predict relative body fat determined by a four-compartment body composition model. Eur J Clin Nutr 57, 1009–1016 (2003). https://doi.org/10.1038/sj.ejcn.1601636

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/sj.ejcn.1601636

Keywords

This article is cited by

Search

Quick links