The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Body fat and fat-free mass inter-relationships: Forbes's theory revisited
Open accessAbstract
A theoretical equation was developed by Forbes that quantifies the fat-free proportion of a weight change as a function of the initial body fat. However, Forbes's equation was strictly valid only for infinitesimal weight changes. Here, I extended Forbes's equation to account for the magnitude and direction of macroscopic body weight changes. The new equation was also re-expressed in terms of an alternative representation of body composition change defined by an energy partitioning parameter called the P-ratio. The predictions of the resulting equations compared favourably with data from human underfeeding and overfeeding experiments and accounted for previously unexplained trends in the data. The magnitude of the body weight change had a relatively weak effect on the predicted body composition changes and the results were very similar to Forbes's original equation for modest weight changes. However, for large weight changes, such as the massive weight losses found in patients following bariatric surgery, Forbes's original equation consistently underestimated the fat-free mass loss, as expected. The new equation that accounts for the magnitude of the weight loss provides better predictions of body composition changes in such patients.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“However, this percentage is not a constant and is expected to trend higher in people rapidly experiencing large weight reductions, as observed after bariatric surgery.”
From Strategies for minimizing muscle loss during use of incretin‐mimetic drugs for treatment of obesity (2025) · cites this paper as [40]
Citations
Cites
Corless, R. M., Gonnet, G. H., Hare, D. E. G., Jeffrey, D. J., & Knuth, D. E. (1996) · Advances in Computational Mathematics · doi:10.1007/bf02124750 · Cited by 6,262
THE BIOLOGY OF HUMAN STARVATION
Keys, A., BROŽEK, J., & Henschel, A. (1951) · The Medical Journal of Australia · doi:10.5694/j.1326-5377.1951.tb56499.x · Cited by 2,135
The Biology of Human Starvation: Volume I
KEYS, A., BROŽEK, J., HENSCHEL, A., MICKELSEN, O., & TAYLOR, H. L. (1950) · doi:10.5749/j.ctv9b2tqv · Cited by 2,039
Changes in Energy Expenditure Resulting from Altered Body Weight
Leibel, R. L., Rosenbaum, M., & Hirsch, J. (1995) · New England Journal of Medicine · doi:10.1056/nejm199503093321001 · Cited by 2,012
Lean Body Mass-Body Fat Interrelationships in Humans
Forbes, G. B. (2009) · Nutrition Reviews · doi:10.1111/j.1753-4887.1987.tb02684.x · Cited by 342
Das, S. K., Roberts, S. B., Crory, M. A. M., Hsu, L. G., Shikora, S. A., Kehayias, J. J., Dallal, G. E., & Saltzman, E. J. (2003) · American Journal of Clinical Nutrition · doi:10.1093/ajcn/78.1.22 · Cited by 212
Metabolic response to experimental overfeeding in lean and overweight healthy volunteers
Diaz, E., Prentice, A., Goldberg, G., Murgatroyd, P., & Coward, W. (1992) · The American Journal of Clinical Nutrition · doi:10.1093/ajcn/56.4.641 · Cited by 157
Norgan, N. G., & Durnin, J. V. (1980) · The American Journal of Clinical Nutrition · doi:10.1093/ajcn/33.5.978 · Cited by 151
Body Fat Content Influences the Body Composition Response to Nutrition and Exercise
Forbes, G. B. (2000) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.2000.tb06482.x · Cited by 147
(1996) · PubMed · Cited by 122
Cited by
Sorted by citations
Items 101–129 of 129
Eat Less or Excercise More? Dieting Efforts and Price PoliciesPreprint
Barbieri, P. N. (2015) · SSRN Electronic Journal · doi:10.2139/ssrn.2689501 · Cited by 3
Rosero, R., Tamayo, M., Correa, R. R., Burguera, B. G., & Griebeler, M. L. (2025) · Obesity Science & Practice · doi:10.1002/osp4.70077 · Cited by 3
“This finding aligned with previous studies showing that individuals with higher baseline adiposity may exhibit greater longitudinal variations in fat mass during weight loss interventions [30, 31].”
Computational Modelling of Energy Metabolism and Body Composition Dynamics
Hall, K. D. (2014) · Springer eBooks · doi:10.1007/978-1-4471-4920-0_11 · Cited by 2
Self-citationCurrent and Future Implications of Weight Loss Drugs on Liver Disease
Bussetty, A., Shah, N., Chandler, T. M., Ghattu, M., & Kesavarapu, K. (2025) · Clinics in Liver Disease · doi:10.1016/j.cld.2025.06.005 · Cited by 1
The Role of Insulin Sensitivity in Lean Mass Changes During Weight Loss With or Without Exercise
Bartholomew, C. L., Martins, C., & Gower, B. A. (2025) · Obesity · doi:10.1002/oby.70010 · Cited by 1
“Baseline FM was included given that it is inversely associated with S I and FFM loss during weight loss [32].”
Advantages of Skeletal Muscle Preservation in Settings of Weight Loss
Glass, D. J. (2026) · Aging Cell · doi:10.1111/acel.70521 · Cited by 1
Bosy‐Westphal, A., Enderle, J., Norman, K., & Müller, M. J. (2026) · Journal of Cachexia Sarcopenia and Muscle · doi:10.1002/jcsm.70334 · Cited by 1
On the estimation and control of human body composition
Karimi, M., & Rao, R. R. (2017) · Transactions of the Institute of Measurement and Control · doi:10.1177/0142331217705946 · Cited by 1
“This parameter, r, was defined in (Hall, 2007) based on the Forbes formula (Forbes, 1987), which was obtained after analyzing body composition data collected from many adults: r = c c+ F ; c = kk ρL ρF (7)”
Rokhtabnak, F., Safari, S., Motlagh, S. D., Yavari, T., & Pardis, E. (2023) · PubMed Central · doi:10.30476/ijms.2023.96131.2762 · Cited by 1
“24 Body composition can be measured with different methods, each of which has some limitations.”
BackgroundCoppack, S. W. (2009) · Wiley eBooks · doi:10.1002/9781444307627.ch10 · Cited by 1
Energy intake: reduced as prescribed?
Heymsfield, S. B. (2011) · American Journal of Clinical Nutrition · doi:10.3945/ajcn.111.018630 · Cited by 1
“Forbes’ ‘‘law’’ describes the curvilinear association between changes in FFM and changes in total body fat mass (9).”
BackgroundA Dynamical Systems Model for Weight Change Behavioral Interventions
Rivera, D. E. (2010) · Cited by 1
Rokhtabnak, F., Safari, S., Motlagh, S. D., Yavari, T., & Pardis, E. (2022) · Research Square · doi:10.21203/rs.3.rs-1676424/v1 · Cited by 1
Exploring protein and macronutrient intakes in lean bodybuilders during caloric restriction
Helms, E. R. (2013) · Tuwhera (Auckland University of Technology)
Hernández-Hernández, A. M., & Huerta-Quintanilla, R. (2014) · PLoS ONE · doi:10.1371/journal.pone.0111709
Martins, N. (2020) · White Rose eTheses Online (University of Leeds, The University of Sheffield, University of York)
Faculty Opinions recommendation of Quantification of the effect of energy imbalance on bodyweight.
Alpers, D. (2011) · Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature · doi:10.3410/f.13242957.14595057
Hernández-Reyes, A., Vidal, A. L., Cámara‐Martos, F., Molina‐Luque, R., & Moreno-Rojas, R. (2020) · doi:10.21203/rs.3.rs-25907/v1
Faculty Opinions recommendation of Quantification of the effect of energy imbalance on bodyweight.
Müller, M. M. (2011) · Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature · doi:10.3410/f.13242957.14701106
The importance of fat-free mass and constituent tissue-organs in the control of human appetite
Hopkins, M., & Blundell, J. E. (2023) · Current Opinion in Clinical Nutrition & Metabolic Care · doi:10.1097/mco.0000000000000965 · Cited by 2
PMP-LLM: A Culture-Aware and AI Based Personalized Meal Planner Tool for Weight Management
Elattar, M., Habibi, R. S. E., Zakaria, D., Saber, M. E., Hussein, M., Mohannad, T., & Abouelhoda, M. I. (2025) · Lecture notes in computer science · doi:10.1007/978-3-032-08455-2_22
Yamaji, T., Mizobuchi, A., Goto, C., Maruhashi, T., & Higashi, Y. (2025) · Cureus · doi:10.7759/cureus.100180
“Although dietary restriction is one of the most popular approaches to weight loss, relying solely on it without exercise can lead to a greater reduction in muscle mass and increase the risk of weight regain, which might be a risk for further sarcopenia [7].”
Empirical Evaluation of the Mass Balance Model in Human Bodyweight RegulationPreprint
Arencibia‐Albite, F. (2026) · Research Square · doi:10.21203/rs.3.rs-8576437/v1
Jacquier, M. (2016) · theses.fr (ABES) · doi:10.70675/9b046659zd8bez4d00z8239z44a1ead1dbcc · Cited by 4
Zadeh, A. T., Chiapparelli, E. A., Amoroso, K., Guven, A. E., Zhu, J., Köhli, P., Verna, B., Mielke, A. M., Shue, J., Burkhard, M. D., et al. (2026) · HSS Journal® The Musculoskeletal Journal of Hospital for Special Surgery · doi:10.1177/15563316261446300 · Cited by 1
Moore, H., Hopkins, M., Lazzer, S., Isacco, L., Pereira, B., Montaurier, C., Blundell, J. E., Boirie, Y., & Thivel, D. (2026) · Journal of Nutrition · doi:10.1016/j.tjnut.2026.101656
Lee, J., Kim, T., Hwang, D., Kyun, S., Jang, I., Kim, N., Lim, K., Park, H., Kwon, I., Kim, S.-W., et al. (2026) · Metabolites · doi:10.3390/metabo16090618
“However, the ExPC group entered the combined intervention with relatively lower adiposity, which may have limited the potential for further reductions in body fat [40,41].”
van der Meer, R., Monpellier, V. M., Liem, R. S. L., Janssen, I. M. C., Hazebroek, E. J., & Serlie, M. J. M. (2026) · American Journal of Clinical Nutrition · doi:10.1016/j.ajcnut.2026.101441
Metabolic heterogeneity of obesity
Smith, G. I., Petersen, M. C., Hartig, S. M., & Klein, S. (2026) · Nature Medicine · doi:10.1038/s41591-026-04718-7
Metadata
- Authors
- Hall, K. D.
- Affiliations
- National Institutes of Health (US)
- Corresponding author
- Hall, Kevin D.
- ORCID
- Hall, Kevin D.
- Venue
- British Journal of Nutrition
- Publisher
- Cambridge University Press (CUP)
- Published
- 2007-06
- Volume
- 97
- Issue
- 6
- Pages
- 1059-1063
- ISSN
- 0007-1145 (ISSN-L)
- 1475-2662
- PMC
- PMC2376748
- OpenAlex
- W2127115822
- Cited by
- 129
- References
- 23
- Citations by year
- 2026: 11 · 2025: 12 · 2024: 7 · 2023: 7 · 2022: 6 · 2021: 3 · 2020: 7 · 2019: 6 · 2018: 3 · 2017: 4 · 2016: 7 · 2015: 6 · 2014: 13 · 2013: 6 · 2012: 5
- FWCI
- 3.12
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- British Journal Of Nutrition (publishedVersion)
- PubMed (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- Funders
- National Institutes of Health
- National Institute of Diabetes and Digestive and Kidney Diseases (Z01DK013036)
- Topics
- Health Sciences › Medicine › Physiology (medical) › Body Composition Measurement Techniques
- Life Sciences › Neuroscience › Endocrine and Autonomic Systems › Regulation of Appetite and Obesity
- Health Sciences › Medicine › Physiology (medical) › Nutrition and Health in Aging
- Keywords
- fat mass, fat-free mass, body composition changes, weight change, energy allocation, underfeeding, overfeeding, bariatric surgery, weight loss
- MeSH terms
- Adipose Tissue, Body Composition, Female, Humans, Models, Biological, Weight Gain, Weight Loss
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review